1557 G45 Copy 1 Graded Review Question: WfM.GIFFM mwDmcLum LIBRARY OF CONGRESS. ©Jjap ©nptjrig^i Tfo Shelf..CxAA. UNITED STATES OF AMERICA. 1885 V ' A GRADED REVIEWS; OR, HELPS TO TEACHERS AND PUPILS IN ARITHMETIC, GEOGRAPHY AND LANGUAGE, CONSISTING OF CAREFULLY GRADED WORK IN THESE THREE STUDIES, EXTENDING OYER A PERIOD OF EIGHT YEARS. AFTER THE NEW METHODS. W. M. GIFFIN, A.M., PRINCIPAL OP THE LAWRENCE STREET SCHOOL, NEWARK, N. J., DAVID ^MACLURE, PRINCIPAL OF THE CAMDEN STREET SCHOOL, NEWARK, N. J. I i NEW YORK: A. LOVELL & CO., PUBLISHERS, 16 Astor Place. 1885. COPYRIGHT BY GIFFIN AND MACLURE. RESPECTFULLY DEDICATED TO WILLIAM N. BARRINGER, SUPERINTENDENT OF SCHOOLS, NEWARK, N. J. A GENTLEMAN CAPABLE, ENTHUSIASTIC, ENERGETIC, AND SUCCESS- FUL IN HIS MISSION AS AN EDUCATOR. PREFACE. This book comprises a series of carefully graded and pro- gressive questions upon the three fundamental branches of common education which are at present receiving special attention from the new school of educators. These ques- tions are not in any sense " quizzisms," or what are gener- ally denominated "test problems." They are plain and practical and calculated to meet the capacity of minds intel- ligently qualified for their respective grades. They were prepared for ordinary classes and pupils, not for the ' ' bright ones " only, but for all, and any pupil who has studied the subjects upon which the questions are based, may review from the pages of this book with benefit. The booh affords daily work and opens up a field of sug- gestion and thought in the mind of a teacher, which is limited only by her originality and her aptness to perceive a suggestive thought. As to the practicality of these ques- tions it is enough to say that the complete series has been the outgrowth of class work conducted within the personal experience of the authors. The uses of the book are varied, thus : Does the teacher desire to be guided in a definite course of progressive study? She will find a valuable aid in Graded Reviews. Is there difficulty in organizing classes and allotting pupils to their proper place therein ? A help may be found here at the teacher's hand. Does the teacher desire a reliable and positive guide to direct her in the course of each day's rou- tine? or does she desire, after treating the subject in her own fashion, to examine and review her class? She will find here a comprehensive summary which will intelli- gently test the knowledge of her pupils upon the subjects taught. iv PREFACE. Very often advanced pupils are confined to the work of their respective grades and fail to keep before them the successive steps of fundamental principles by which they progressed. By using the Graded Eeviews as a text book, they may revert daily, if necessary, to simple problems and encourage at once a wider familiarity with the sub- ject and a livelier comprehension of the whole range of the study. With the earnest hope that teachers may be helped in their work so as to obtain better results with greater facility, the authors leave the book in their hands. Xewaek, N. J., December, 18Si. ARITHMETIC. F1EST YEAR IN SCHOOL. FIRST TERM. 1. How many one-cent postage stamps can be bought with a two- cent piece ? 2. What one piece of money will pay for a two-cent stamp and a one-cent stamp? 3. Name some word that has three letters in it. 4. May is four years old and baby is one year; how much older is May than baby? 5. May is four years old and Jennie is half as old; how old is Jennie? 6. How many sticks of candy will a two-cent piece and a three-cent piece buy? 7. John has two tops and Willie has two times as many ; how many has Willie? 8. How many oranges could you buy with a five-cent piece, if oranges cost two cents each? 9. 1 hat + 2 hats + 1 hat are how many hats? 10. How many two-cent tops can you buy for six cents? 11. What three pieces of money will equal five cents? 12. How many threes in six? 13. Four and one-half of four are how many? 14. Three is one-half of how many?" 15. 4+2= 5 — 3= *of4 = 2 + 3= 6 — 4= Jof4 = 3 + 1 + 2= 5 — 2= i of 6 = 16. 1 = i of ? 3 = of 6 = i of 4 2 = -£of? 2= of 4 = * of 4 17. Willie has one-half of an apple and John has one apple; how many apples is that? 2 GRADED REVIEWS. 18. How much must we add to one-half of an apple to make two apples? 19. If an orange is worth six cents, how much is one-half of it worth? 20. How many two-cent postage stamps can be bought with six cents? 21. If I have a five-cent piece and buy three one-cent stamps, how much will I have left to buy postal cards? 22. What do we call one-half of a quart? 23. How many pints in a quart and a pint? 24. How must I divide an apple to give four boys each an equal piece? . „ ,,, .,.» 25. How many halves in two and one-half? 2Q. IJow many are tw^^s and two l's? 27. How many are two 2's and one 1? 28. If I have one. apple. and give away three-quarters of it, how much q£ the apple rvyill I have left? 29. What is one-half of four books? of four boys? of four caps? of, four tops? of four quarters? SECOND TERM. 30. How many days in a week? How many of them are week days? 31. What two pieces of money equal seven cents? 32. What two pieces of money will make eight cents? 33. If I hold up five fingers of one hand, how many fin- gers- of the other hand must I hold up to make 8 fingers? 34. How many halves in four? 35. How many quarters in two? 36. Two apples and one-half of two apples are how many? 37. What is the difference between one-half of 8 and one half of 6? 38. Find the sum of one-half of 2, one-half of four, one- half of 6, one-half of 8. 39. How many more is 8 than 6? 40. How many more is 6 than two 2's? 41. How many more halves in 4 than in 3? 42. Willie is 8 years old ; how much longer must he live before he is 10 years old? GRADED REVIEWS. 3 43. What number between 8 and 10? 44. How many eggs can I buy for 9 cents if they are worth 1 cent apiece? 45. How many peaches at three cents apiece? 46. How many pine- apples at nine cents apiece? 47. How many more 3's in 9 than in 6? 48. What is I of 9. 49. What will it cost to send 5 letters to Chicago? 50. 9 and 2 halves are how many? 51. What will be the cost of two bananas at two cents each, and two apples at one cent each, and one peach at three cents? 52. If I give a dime for this fruit what change should I receive? 53. Willie has two tops and John has 5 times as many ; how many has John? 54. John has 10 tops, Max has 1 as many ; how many has Max? 55.. How many heads have 4 children? How many eyes? ears? chins? hands? noses? 56. If I have 5 apples and cut each apple in half, how many pieces will I have? 57. If I eat 2 of the pieces, how many pieces will I then have left? 58. How many fingers have you? 59. If you were to lose one arm how many fingers would you lose? 60 +4 = 9 | of 8= 2 = of 4 3+=7 iof4= 5= of 10 8 _ = 3 i of 10 = = } of 8 ' — 5 = 3 2 = i of ? = £ of 6 + =10 3 = i of ? 61. How many more feet have 2 dogs than 2 boys? How many more heads? 62. If you cut a piece of paper into four equal parts what will one of the parts be called? What is each piece called? 63. Name some word that has more letters in it than cow? 64. How many more letters in the word "sweet "than "sour"? 4 GRADED REVIEWS. 65. 9 is 3 times what number? 66. 3 cents + 2 cents = 5 cents 2 times 2 cents = 4 cents + 1 cent = 3 times 2 cents = 6 cents + 3 cents = 4 times 2 cents = 5 hats + 4 hats = 5 times 2 cents = 9 men — 3 men = 4 cents and 2 cents = THIRD TERM. 67. Give another name for 2 and 2 and 2. 68. How many sides has a square? 69. If i of a melon is worth 5 cents what is the whole melon worth? 70. John is 9 years old, Willie is £ as old ; how old is Willie? 71. John had 8 marbles and Max had i of 8 marbles; how many marbles had both? 72. Three times what are equal to three ? 73. Three times what are equal to six? 74. How many thirds in one? 75. A' boy ate an apple each day for a week; how many apples did he eat? 76. John lost one cent every day for a week, and then found two of them; how many of his cents were not found? 77. On how many days must he have lost two cents to have lost ten cents? 78. There are three feet in a yard; how many yards in six feet? 79. There are three feet in a yard ; how many feet in one- third of a yard? 80. Four quarts make a gallon; what part of a gallon are two quarts? 81. Find the sum of two 2's + i of 6 + I of 8 + * of 2. 82. How many halves in two and one-half? 83. Which is more, one 10 or ten l's? two 3's or two 2's? two 4's or four 2's? 84. John has a five-cent piece, a two-cent piece, and a one- cent piece; Willie has three three-cent pieces; which has the most money? GRADED REVIEWS. 5 85. Name five things you can buy for ten cents and tell what each costs. 86. 2 -f 3 is £ of what number? 87. Which is greater, five and three or seven and two? 88. Which is greater, 4 + 2 or 4 x 2? 89. Willie gets two cents for going an errand ; how many errands must he run to get four oranges worth two cents each? 90. If I cut a foot off of a yard of ribbon how many feet will be left? 91. What is one-half of five apples? 92. One cat caught as many rats as she had feet, another cat as many as she had eyes, and another cat as many as she had heads; how many rats did they all catch? 93. How many are 10 cents less 2 cents + 1 cent + 3 cents? 94. Two, three, and four are how many? 95. If you eat two apples and a-half at one time and one apple and a-half at another time, how many apples will you have eaten? 96. John had four apples and his sister had twice as many; how many did she have? SECOND YEAR IN SCHOOL. FIRST TERM. 1. How many 5's in eleven? How many tens in eleven? 2. Name three numbers of which eleven is the sum. 3. What must be taken from eleven to leave a difference of twice three? 4. 6 + 4 + what equals eleven? 5. y^ of 10 + what equals eleven? 6. Eleven is how much greater than i of 8 + i of 9 ? 7. How many should we add to eleven to make twelve? 8. What do we call twelve eggs? twelve inches? twelve months? 9. How many 4's in twelve? 10. Are there more 3's than 6's in 12? how many more? 6 GRADED REVIEWS. 11. How many halves in one? how many thirds? how many fourths? how many fifths? how many sixths? 12. What part of twelve is six ? three ? four ? eight ? nine ? one ? 13. One is what part of twelve? of six? of three? of four? of eight? of nine? 14. Four times i of 9 equals what? 15. What five pieces of money will make twelve cents? 16. One dozen and one are how many? 17. One foot and two inches are how many inches? 18. How many 7's are equal to 14? 19. i of 10 times £ of 9 equals what? 20. Three, three, and a-third of three are how many? 21. Three times three and a third of three are how many? 22. Three less three and a third of three are how many? 23. Three, three, and less one-third of three are how many? 24. Two times five and five are how many? 25. How many nickles are equal to 15 cents? 26. How many half dimes are equal to 15 cents? 27. What is the answer to the following : | of 5 + £ of 9 + £ of 3 + I of 6 + 8 -r- 4 + two 2's + 8 — 7 + 2 X 2? 28. £ of 15 is how many more than | of 10? 29. Willie is 10 years old and John is seven times | of Willie's age; how old is John? 30. Mary is eight years old, and $ of Mary's age is i of John's; how old is John? 31. 2 = i of ? 4 = of 12 5 = i of ? 5 = of 15 7 = i of ? 3 = of 15 4 = i of ? 7 = of 14 1 = & of ? 6 = of 12 32. + =15 Write with figures— X =15 I, V, IV, IX, X. — =10 -- =10 SECOND TERM. S3. £ of 12 + 12 = ? - 34. * of 10 + 12 = ? 55. 1 of 6 + 15 = ? - GRADED REVIEWS. 7 36. How many 6's in 18? how many 3's? 37. How many 9's? 38. Three 6's and 1 are how many? Two 9's and 2 are how many? 39. Which is the larger, * of 12 + £ of 20, or i of 12 + i of 9? 40. John has ^ of 20 cents, William has ^ of 10 cents, and Henry has £ of 6 cents ; which boy has the most money? How many cents have they all? 41. How many dimes are equal to 20 cents? how many nickels? 42. What is 20 sometimes called? 43. In what book do we read of three score and ten? 44. How many times is £ of 20 contained in 20? £ of 20? £ of 20? 45. £ of 20 = i of what? 46. £ of 9 is what part of 12? 47. £ of 18 is three times what number? 48. How many school days in four weeks? 49. A man had three quarts of cider. He put it up in bot- tles, each bottle holding two pints ; how many bottles did he fill? 50. If 5 lemons cost 20 cents, how much would 4 lemons cost at the same rate? 51. 8 is £ of the number of cents John has ; how many cents has he? 52. 9 and 9 and £ of 9 are how many? 53. How many pints in one quart and one pint? 54. How many must we add to three 6's to make 19? 55. 12 — £ of 12 are how many ? 56. Two 6's from three 6's leave how many? 57. If six apples are worth 6 cents, what is £ of six apples worth? 58. How many 3's in two 6's? 59. How many 6's in two 9's? 60. How many 5's in two 10's? 61. How many 10's in one 20? 62. £ of 20 + £ of 20 + £ of 20 = ? 63. Two 5's + five 2's are how many? GRADED REVIEWS. 64. Two 4's + four 2's are how many less than 20? 65. 66. + =19 3 X = 18 — = 7 14 -^ = 2 X =20 X 4 [ =20 -*- =8 20- = 13 5 = i of ? 3 = of 12 4 = $ of ? 4 = of 20 2 = f of ? 2 = of 14 1 = | of ? 7 = of 14 THIRD TERM. 67. John had four three-cent pieces. He bought a pencil for three cents, a top for four cents, and an orange for four cents; how many cents had he left? 68. If oranges are worth two cents, how many can I buy for eleven cents and how many cents will I have left? 69. John gave me five cents which I added to seven cents I already had. I then spent four cents ; how many cents had I left? 70. If you had an apple and gave away ^ of it, what part would you have left? 71. If you can buy six oranges for 18 cents, how much will five oranges cost ? 72. If seven apples can be bought for 14 cents, how many can be bought for 12 cents? 73. A man had 20 dollars. He gave away on Monday £ of it, on Tuesday i of it, on Wednesday f of it ; how many dollars did he have left? 74. If vinegar is worth three cents a quart how much must I pay for one gallon and a half? 75. John had three apples, which was £ of the number his brother had; how many had his brother? 76. John had 4£ apples; how many thirds had he? 77. Mary bought an orange for 3 cents, three pencils worth two cents each, and gave the storekeeper a ten-cent piece; how much change should she receive? 78. How many pints of peanuts can you buy for ten cents, when one pint costs five cents? GRADED REVIEWS. 9 79. May found three pins, John found nine pins, and William found seven pins ; how many pins did they all find? 80. How many more pins did May and William together find than John? 81. What will a pint of milk cost at two cents a gill? 82. If two quarts of vinegar cost sixteen cents how much will one pint cost? 83. If two quarts of milk cost twelve cents, how much will one quart and one pint cost? 84. John threw a ball seven feet; how many feet must he walk to go to the ball and return to the place from whence he threw it? 85. Willie threw an apple five feet toward the right, and another six feet toward the left ; how many feet apart were they? 86. A hall is three feet wide and five feet long; how many feet must May travel to walk around the hall? 87. The end of a schoolroom is twenty feet long. There are two windows in the end, each three feet wide, the rest of the distance is fitted with blackboards ; how many feet long are the blackboards? 88. A hall is eighteen feet long. Lily is in one end and Jane is in the other end of the hall; Jane walks four feet toward Lily and Lily walks six feet toward Jane; how many feet are they apart? 89. Thomas has four playmates ; if they each give him five apples how many apples will he have? 90. How many working days are there in two weeks? 91. If two men can do a piece of work in four days, how long will it take one man to do it? 92. If it takes one man fifteen days to do a piece of work, how long will it take three men to do the same piece of work? 93. If a man receives two dollars a day, how much should he receive in a day and a-half ? 94. How many inches in one foot and three inches? 95. If a man receives five dollars for two days' work, how much should he receive for one day? How much for four days? 10 GRADED REVIEWS. 96. How many inches in a quarter of a foot? 97. Mary had three apples, John had three times as many; how many had both? 98. i of 9 is what part of 6? £ of 10 is what part of 6? THIRD YEAR IN SCHOOL. FIRST TERM. 1. If a class has fifty-six good slates and eight cracked ones, how many slates have they in all? How many more perfect than cracked ones? 2. John walks five miles and rides seven miles ; how many miles does he travel? 3. A boy had twenty -four marbles ; he lost $ of them ; how many had he left? 4. If a father gives his son two cents a day, how much will he have in one week and a half? 5. Four boys have twenty -four tops ; if they divide them equally, how many will each have? 6. Which is greater and how much, i of 40 or 7? ^ of 36 or 20? f of 36 or 24? \ of 49 or 10? 7. How many 10's in 3 + 4 + 8 + 5 + 5 — 3 + 8? 8. How many 8's in 8 X 2 + (9 + 5 + 2)? 9. John had thirty-seven cents ; he spent four cents for a slate, five cents for a book, eleven cents for a box, lost seven cents and gave £ of nine cents to Willie ; how much had he left? 10. John is ten years old, Max is two years older, and their father is twice as old as the sum of their ages ; how old is he? 11. Henry bought two hats at two dollars each, five books at one dollar each, and a cane for three dollars ; he gave a twenty-dollar bill; how much change ought he to receive? 12. 5 times \ of 8 + 3 times \ of 18 are how many? 13. I of 24 is what part of 9? 14. $ of 24 is how many times 4? GRADED REVIEWS. 11 15. What nine pieces of money will equal one quarter of a dollar? 16. What does three times four mean? (Four taken three times.) 17. What does four times three mean? 18. How many fifths in one and one-fifth? 19. How many inches in one foot and a-half ? 20. How many inches in a quarter of a yard? 21. If an apple and a-half cost a cent and a-half, what will three apples cost? 22. 11 -f 13 is how many times 4? 10 + 8 is how many times 6? 23. A shoemaker made twenty-eight boots; what were they worth at three dollars a pair? 24. A man had two dozen eggs; how many 6's was that? 25. Name three numbers that can be divided by nine with- out a remainder? 26. John read a quarter of an hour one day, and half an hour another day; how many minutes did he read? 27. Write the odd numbers between one and thirty and find their sum. 28. Write the odd numbers between thirty and fifty and find their sum. 29. George bought a quire of paper of one man, and fif- teen sheets of another; how many sheets did he buy? 30. John read one hour a day in February, and one hour a day during one half of April; how many hours did he read? 31. From the number of days in a year subtract the sum of the days in April, June, September, and November. 32. 35 — (2 + 3) and how many 10's are left? 33. How many inches in one yard, one foot and eight inches? 34. If I have seven five-cent pieces, how many two-cent pieces must I get to have thirty-nine cents. 35. What will twenty two-cent stamps, and' one one-cent stamp cost me? 36. How many months, weeks, and days in forty-six days? 12 GRADED REVIEWS. 37. I have six bottles of vinegar, each bottle holds one pint. How much is my vinegar worth at forty -eight cents per gallon? 38. How much will two quarts of milk cost at two cents a gill? 39. How many more 2's than 3's in 24? 40. Three boys picked cherries ; John picked eight quarts* Eddie seven quarts, and Henry nine quarts; they divided them equally; how many quarts did each boy have? 41. Three boys played marbles; John won twenty-one marbles, Charles won one-seventh as many, George three- sevenths as many; how many marbles did Charles and George win together? 42. If a man manufactures three chairs a day, how many will he manufacture in a week? 43. Milton threw a stone nine feet up the road and an- other twelve feet down the road; how far are the stones apart? 44. Anna bought twenty -five pounds of sugar, and on her way home she lost two-fifths of it ; how many pounds of sugar did she bring home? 45. If three men can build a wall in nine days, how long will it take one man to build the same wall? 46. i of 10 = 14+5 = iof 12 = 9 + 7 = i of 20 = 14-3 = f of 15 = 6X3 = f of 16 = 16-*- 4 = | of 15 = 14 + =21 A of 20 = 17— = 4 £ of IS = 3 X =21 SECOND TERM. 47. Find the sum of I of 6 + £ of 4 + I of 8 + $ of 10 + £ of 12 + f of 21 + i of 24 + i of 27 + ^ of 30. (These answers to be put in column and added.) 48. Enough tea was taken to a picnic to give sixteen people each a gill cupful; how many quarts were taken? GRADED REVIEWS. 13 49. At a party there were two gallons of lemonade drunk. Each person drank one gill ; how many persons were at the party ? 50. From the sum of £ of 18 + I of 12 + i of 16 + $ of 49 + j_ of 50 take the sum of £ of 15 + i of 6 + £ of 12. 51. i of -24 + £ of 24 + i of 24 is what part of 26? 52. Eight men went into a lumber camp for one month. It was thought each man would eat three pecks of potatoes ; how many bushels were sent? 53. From the number of weeks in a year take the number of weeks in one and one-half months. 54. What would two bushels of apples cost at twenty cents a peck? 55. What will a peck of potatoes cost at one dollar a bushel \ 56. Add \ of 4S + i of 25 + T V of 80 + i of 50. 57. If eggs are worth 3 cents a-piece what will be the cost of 3 dozen? 58. Find the sum of & of 10 + T V of 20 + A of 30 + t l of 40 + tV of 50 + tV of 60 + T V of 70 + t^ of 80 + Jo of 90 + ^ of 100. 59. From the sum of £ of 18 + i of 80 take the sum of \ of 12 times \ of 10. 60. Add the number of inches in £ of a foot -f- \ of a yard + \ of a foot + \ of a yard + \ of a foot + \ of a yard. 61. Add i of 60 + i of 60 + \ of 60 + \ of 60 + \ of 60. 62. What will one and one-half dozen eggs cost at 18 cents a dozen? 63. What will a boy earn in a year if he receives 2 dollars a week? 64. Add the number of weeks in one year + 1 month + \ month + i of a year. 65. Add the number of pints in 1 quart + \ gallon + 1 gal- lon + 8 pints + 16 gills. 66. How much greater is £ of 12 than I of 16? 67. If 1 dozen melons were required to supply each person at a picnic with i of a melon, how many persons were there? 68. How many dozen melons will be required to furnish 36 persons with $ of a melon each? 14 GRADED REVIEWS. 69. i of 48 is what part of 24? 70. George had 3 apples, William had 5 apples, and John had 8 times as many as the other two together ; how many had John? 71. William had a stick 5 feet 6 inches long. Henry had one 4 feet 4 inches long, and John had one 2 feet 2 inches long. How many feet did all of the sticks measure? 72. What would be the cost of 5 yards of stovepipe wire at 1 cent a foot? 73. A boy had 4 and $ apples in one dish, and 4 and £ apples in another dish; what part of 18 apples did he have? 74. How many fourths in 4 and J? 75. At 40 cents a gallon what will 1 pint of milk cost? 3 pints? 76. At 40 cents a gallon what will 1 quart and a pint of vinegar cost? THIRD TERM. 77. Find \ of 510 and from it take £ of 279. 78. William had 162 cents, John had four times as many ; how many had John? 79. If 5 apples cost 15 cents what will 3 apples cost? 80. If a snail crawls 1 yard in 2 minutes, how long will it take to travel 1 rod? 81. How many feet in 1 and } yards? 2 yards and 6 inches? 82. A boy saves 9 cents a week for 1 year; how many oranges could he buy with his year's savings at 3 cents each? 83. If 1 dozen bananas are worth 60 cents, how much are 7 bananas worth? 84. Divide 630 by 5, 240 by 8, 279 by 9, and add the three answers. 85. How many yards in 72 inches? 86. A man threw a stone 1 rod down the road and another 5| rods up the road ; how many rods apart were the stones? 87. How many 3's in the sum of 6, 9 and 18? 88. George is 16 years old, and i of George's age is $ of Willie's age; how old is Willie? 89. A doctor left his office and rode 5 miles to see a sick GRADED REVIEWS. 15 man ; he returned to his office and then rode 7 miles to see a sick boy ; when he returned, how many miles had he rid- den? 90. lis what part of 10? 91. 6 is what part of 24? of 30? of 36? of 48? 92. If I start for Philadelphia at 11 o'clock in the morn- ing and am 4 hours in getting there, what time will it be when I arrive there? 93. A pond is 3 feet deep. I wish to drive a stake 2 feet in the mud and have 3 feet out of the water; how long should the stake be? 94. A post is 10 feet long ; £ of it is in the ground ; how many feet of the post is above ground? 95. How many dollars must I have to give 20 boys i of a dollar each? 96. 6 gallons and 24 quarts are how many gallons? 97. I bought 3 watches at 18 dollars each, and gave the man six ten-dollar bills; how much change should I receive? 98. I draw a square with each of its sides 1 foot long, and divide each side into 12 equal parts, and connect these points by 12 vertical and 12 horizontal lines; how many squares will I make, having each side 1 inch long? How many square inches in one square foot? 99. A man who has 6 little pigs sells 2 of them at 3 dol- lars each, and the others at 4 dollars each ; how much does he get for the pigs? 100. Sold a harness for $56, and by so doing gained $8; what should I have received for it so as to lose $8? 101. What is the cost of 17 three-cent stamps, 10 two-cent stamps, and 9 postal cards? 102. What 8 pieces of money will make a dollar? 103. What 12 pieces of money will ma,ke 25 cents? 104. What is the sum of three 10-cent pieces + ten 3-cent pieces? 105. If 15 chairs cost $90, what must I pay for 13 chairs? 106. It takes 6 feet of picture wire to hang one picture ; how many yards must I get to hang 6 pictures? (FOR OTHER TESTS SEE LAST TERM OF SECOND YEAR.) 16 GRADED REVIEWS. FOURTH YEAR. FIRST TERM. 1. At 48 cents a gallon what will 3 quarts of vinegar cost? 2. If a pie be divided into eighths (represent this on black board) how many pieces will two boys have if each re- ceives i of the pie? 3. A boy threw a stone 2 rods up the road ; his brother got it for him ; how many steps did he take altogether, if each rod required 12 steps? Ans. 48. 4. What will 4 dozen eggs cost at 2 cents apiece? 5. John had 6 apples + 4 apples + I apple + § apples + f apples + | apples; how many did he have? 6. If John travels 9 miles from B. toward the north, and Charles 7 miles from B. toward the south, how far apart will they be? 7. A lady bought a book for eight dollars and a-half, a carpet for fifty-six dollars, a stove for twenty-four dollars and a quarter, and a picture for sixteen dollars and three- quarters ; how much money did she spend ? 8. Mr. Brown paid $7,640 on his house, and it is worth 9,235; how much does he still owe? 9. If a man earns $18 one week and $17 the next week, how much will he have left after spending $10? 10. If one yard of silk cost $2.40 how much would 8 yards cost? 11. If one pound of coffee costs 40 cents how much would 2i pounds cost? 12. If butter is worth 48 cents a pound, how much would £ of a pound cost? 13. If twelve baskets of peaches cost 24 dollars, how much would one basket cost? 14. If one quart of nuts cost 12 cents, how much would a peck cost? 15. If one bushel of corn cost 80 cents, how much would a peck cost? 16. How many halves in f? GRADED REVIEWS. 17 17. What will 3 bushels of potatoes cost at 9 cents a quart? 18. How many cents in $7 + i dollars + f dollars? 19. What is the difference in cost of 20 lemons at 3 cents each and 25 pears at 5 cents each? 20. What will 4 quarts of peanuts cost at 6 cents a pint? 21. Divide 17,275 by 5, and multiply that answer by 8. 22. Multiply 38.52S by 3 times 4. 23. Add the answers of the following: i of 12 + 56 + i of 8 + i of 8 + 144. 24. Bought one book for 25 cents, another book for 18 cents, and paid for them 8 pints of chestnuts at 5 cents a pint ; how much do I still owe? 25. Paid 70 cents for a book and 15 cents for a bag. Gave storekeeper $1; how much change should I get? 26. In how many days can I earn $50 at $2.50 per day? 27. Find the sum of the twelves in 144 4- the eights in 96 4- the fives in 40 + the elevens in 99 + the sixes in 72 + the threes in 18 + the fours in 48 4- the twos in 20 + the sevens in 49 4- the nines in 81 + the tens in 50. 28. 3)2,796( + 4)1,664( 29. From the sum of 248 + 156 take their difference. 30. From 5)2, 440( take 6)1,254( 31. John had 245 cents, William had 13 times as many : how many had William? 32. What will be the cost of 4 apples if 6 apples cost 24 cents? 33. If 5 gallons of oil cost $23.40, what will one gallon cost? 34. Add f of 12 + t of 24 + f of 15 + £ of 20 + i of 8 + f of 24 + f of 30. 35. Which is the greater, f of 48 or f of 54? How much greater? 36. How many apples worth 5 cents each can you buy for f of 40 cents? 2 18 GRADED REVIEWS. SECOND TERM. 37. It took one dozen melons to supply each person at a picnic with £ of a melon; how many persons at the picnic? Ans. 96. 38. Enough tea was taken to a picnic to give 80 persons a gill cupful: how many gallons were taken? 39. Twenty men went into a lumber camp for one month ; each man was to be allowed 3 pecks of potatoes : what would they all cost at 50 cents a bushel? Ans. $7.50. 40. A house has 4 sides, each side has 5 windows, each window has 6 panes ; what will be the cost of the glass at 20 cents a pane? 41. If 2 quarts of peanuts cost 20 c, what will 1 pint cost?' 42. Add £ of 8 apples + i of 12 apples + -£ of 16 apples. 43. Add 1 of f + £ of f + 1 of f . 44. Add | of 20 sheep 4- i of 18 sheep + \ of 6 sheep. 45. Add $ of ft + I of ft + * of ft. 46. How much longer is 1 foot than i of a yard? 47. Divide f of 560 by 6. 48. How many whole ones in f 4- f + |? 49. How many quarts and pints in 17 pints? 50. If I buy a cow for $50 and sell her so as to gain ft of what she cost, what do I get for her? 51. How many times 8 is 24 times 12? 52. What will 18 chairs cost at $18 a dozen? 53. During leap year George read 5 verses a day in the Bible; how many verses did he read during that year? 54. 7 times 9 are how many times 21 ? 55. Multiply 654 by 7 and again by 8 and add the products. 56. How many fifths in £ of 5? 57. How much more is 480 multiplied by 9 than 480 mul- tiplied by 6? 58. A tailor makes 432 coats in a year and puts 15 buttons on each coat; how many dozen buttons does he use? 59. A man paid $18 a bbl. for 2 bbls. of sugar, and 75 c for freight upon them; how much did the sugar cost him? 60. William lives 140 yards north of the schoolhouse. GRADED REVIEWS. 19 One morning he went for John, who lives 63 yards south of the schoolhouse, and then went to school ; how many yards did he walk? Ans. 266. 61. A building is 24 feet wide and 54 feet long; how many yards does the building measure around its sides? 62. If a boy takes 2 feet to a step how many steps will he take in walking around the wall of the building? 63. Add 7 times T V of 80 to 10 times | of 63 and from this subtract 6 times ^ T of 99. 64. How many fourths in 5£? 65. How many ones in 5 times 3 divided by 5? 66. If 8 baskets of peaches cost $10.40, what is the cost of 5 baskets? 67. How many cents in $ dollar, i dollar, a dime, and a half dime? 68. If you have 30 c. what part of it must you pay for a 5-cent stamp? 69. If i of a piece of cloth contains 4 yards, how many yards are in the whole piece? 70. If 2 c. pays for i of a pie, how many cents will buy 2 pies? 71. William worked 6 days at 10 c. a day and took his pay in oranges worth 5 c. apiece ; how many oranges did he receive? 72. William engages to run errands. He is to receive 5 c. for every 2 errands. When he has run 10 errands, how much has he earned? 73. How many fifths in the sum of f, & and $? THIRD TERM. 74. What 18 pieces of money make a dollar? 75. 3 times 12 is 4 times what number? 76. Addition is finding the sum of two or more numbers. Write the number of letters in each word of this statement in a column, and find the sum. 77. |, |, |, f are how many ones? 78. Seven and six, or six and seven, give a three in units place. How many are 6 + 7? 7 + 6? 20 GRADED REVIEWS. 79. Add the following columns: 6 7 6 12 4 2 3 16 7 6 7 2 3 2 12 2 2 6 6 7 2 6 4 15 4 6 2 7 3 7 6 4 3 — — — 3 (In like manner arrange other combinations.) 80. If 9 cents will buy 3 oranges, how many oranges will 15 c. buy? 81. If I had $40 and gave away ^ of it, spent £ of it, and lost i of it, how much money would I have left? 82. If there are 9 square feet in 1 square yard, how many square feet in 40 square yards? 83. If 9 square feet make 1 square yard, how many square yards in 459 square feet? 84. If there are 144 square inches in 1 square foot, how many square inches in 16 square feet? 85. If there are 144 square inches in 1 square foot, how many square feet are there in 1,584 square inches? 86. One man had 1 horse, 1 cow and 2 sheep, another man had 2 sheep, 1 cow and 2 horses ; how many horses, sheep and cows did both have? 87. One boy picked 2 gills, 1 pint and 1 quart of chestnuts ; another boy picked 1 quart, 1 pint and 2 gills ; how many quarts, pints and gills did both pick? 88. How many more legs have 18 dogs than 18 boys? 89. Add the number of bones in the two hands, 2 ears, 2 arms, 2 legs and 2 feet. 90. Count the panes of glass in the windows of your schoolroom and find what they would cost at 10 cents apiece? GRADED REVIEWS. 21 91. If every pupil in your class had 8 c. how many cents would that be? 92. How many thirds in 3 and +? 93. How many whole ones in ^ ? 94. i of 8 is what part of 12? 95. I- of 9 is what part of 18? 96. i of 12 is what part of 6 : 97. 2 + 2 + f + f is what part of 21? 98. 3 + 7 — 5 is what part of 10? 99. 8 + 8 and how many make 31? 100. What part of 32 is S + 8? FIFTH YEAR. FIRST TERM. 1. From six thousand and six thousandths take two thousand and two thousandths. 2. What is | of 913,038? 3. Two thousand thirty-six and thirty-seven thousandths is one-sixth of what number? 4. A man bought a house for $2,172. He paid $115.75 for painting it and then sold it so as to gain $175.25. For what did he sell it? 5. By selling land for $4,075.75 I gained $104; what did it •cost me? 6. What was the cost of 127.5 acres of land at $42 per acre? 7. What is & of 23,851? 8. I bought a horse for $237 and sold it at a loss of $56.50 ; what did I sell it for? 9. I sold a carriage for $113.25, and by so doing lost $11.50; what did it cost me? 10. What is the cost of 10 bags of coffee, each containing 76.5 pounds, at 12$ c. per lb. ? 11. For what must I sell a colt that cost me $27, in order to gain $5.25? 12. From f of 861 take f of 945. 22 GRADED REVIEWS. 13. Multiply the sum of 9.04 and 2.2 by their difference. 14. If 7 men can do a piece of work in 15 days how long will it take 5 men to do it? 15. If $42,881.52 be divided among 407 men, how much will each receive? 16. (500+ .03 — .002) X 5= ? 17. From f of 549 take f of 248. 18. From 4.5 + 94.005 take 8.8 -f 6.3. 19. B. has $832, A. has 1 dollar, 4 dimes and 4 cents ; how much more has B. than A. ? 20. Eight times 16 + f of 16 plus three times 16 plus £ of 16 are how many times 16 ? 21. Among how many boys must $12 be divided that each boy may receive 75 cents? 22. |-hi+f + f + £ = ? 23. How many eggs must I give to pay a debt of $244.25 if eggs are worth 60 cents a dozen? 24. From 505 take 505 thousandths. 25. A man received 5,888 lbs. of sugar in exchange for 1,840 lbs. of butter at 32 cents per lb. ; what was the sugar worth a pound? 26. 8h-.8=? + .8-*-8=? +.8h-.8=? 27. How much money is one 20-dollar bill, five 5-dollar bills, two 1-dollar bills, two half-dollars, five quarters, f of a dollar, 4 times ^o of an eagle and six 5-cent pieces? 28. Find the sum of T 4 T of 55 + -ft of 40 + & of 24 + £ of 56 + f of 49 + f of 60, and from it subtract f of 72. 29. How much greater is the product of 4 of 16 multiplied by f- of 9 than the sum of i of 8 + f of 9? 30. If it takes 8 men 20 hours to do a piece of work, how long will it take 6 men to do the same work? 31. Add 48,000.048, 27 hundred and 27 hundredths, and from their sum subtract the number of days in a year. 32. 250 acres of land cost me $41,250. I sold it at $250 per acre; did I gain or lose, and how much? 33. I sent a message of 44 words by telegraph. I paid 40 c. for the first 10 words and 2 c. each for every additional word. Find cost of the message. 34. A man began business with $36,000. At the end of 9 GRADED REVIEWS. 23 years he was worth $61,875; what was the average of his gain per year? 35. What is the value of 32 bales of cotton, containing 325.5 lbs. each, at $.46 per lb.? 36. A man bought 7 chairs at $3.75 each. He sells them at ■a profit of fifty cents each ; what does he get for the seven chairs? 37. A man bought 68 bbls. of flour at $8.75 per bbl. and paid $176; what remained due? 38. A man bought 36 yards of carpet at 75 c. per yard and paid for it $11 cash and the remainder in potatoes at 80 c. per bushel; how many bushels of potatoes did he give? 39. James has 8 c, William has 10 times as much, and John has $4. How much more has John than James and William together? 40. A man bought 320 acres of land at $80 per acre. He sold 180 acres at $70 per acre, and the rest at $110 per acre ; how much did he gain? 41. A man having $4,440, gave each of his three sons $500, and each of his four daughters $475,375, how much had he left? 42. What is the product of 908,060 times three thousand four hundred? 43. What do I save a year, my income being $1,600 a year and my expenses $15 a week? 44. 43 T 4 o X .25 X 14 — ( T 2 o -f- 2) ? 45. Two men start from the same point and travel in op- posite directions. One travels 5 hours and goes 6 miles an hour, the other travels 6 hours and goes 8 miles an hour ; how far apart will they be at the end of their journeys? 46. £ of $1 + T 3 o of $1 + | of $1 + f of $1 + i of $1, is how much more than 12 three-cent pieces? 47. At $8i per ton, how much coal can you buy for $82.50? 48. If 25 oranges cost 62£ cents, and 72 apples cost $1.08, how much more will one orange cost than one apple? 49. If you sell 802 hats which cost you $7 each at $5 each, how much will you lose? 50. Write as decimal fractions and find the sum of the following: A 3 o + Mk + T0 6 + TO + ToW 24 GRADED REVIEWS. SECOND TERM. 51. If a pint of berries cost 6 c. what will 3 pks. cost? 52. What will be the cost of 12.6(5 bu. of wheat at $1.25 per bu. ? 53. If 6 gals, of wine cost $21, what will 1 pint cost? 54. How much will 56 gals, of vinegar cost at 10i c. a quart? 55. By selling peanuts at 8 c. a pint, I double my money. What do they costume per bu. ? 56. If 5 yards of ribbon cost 60 c. how much do I gain if I make 18 badges and sell them at 5 c. each, each badge re- quiring 10 inches of" ribbon? 57. I sold apples for $5.12 a bushel, and doubled my money; what did they cost me a peck? 58. What will 2 tons 3 hundred weight of coal cost at $7 per ton? 59. From 505 thousand take 505 thousandths. 60. If 16.2 bus. corn cost $32.40 what will 5.5 bus. cost? 61. What will 4.2 gals, of wine cost at 8£ c. per gill? 62. How many tons of hay worth 80 c. a cwt. will pay for 24 cows worth $32 each? 63. A man began walking at 8.52 a.m. and walked till 3.07 p.m. ; how many hours did he walk? 64. A. B. C. and Co., whose store is in Boston, sold, October 17, 1884, John White G2 yards flannel at 49 c, 38 yds. tick- ing at 29 c, 86 yds. sheeting at 29 c, 42 yds. carpet at $3.65. Make out a receipted bill. 65. If a railroad train runs 30 miles an hour how long will it take to run from New York to Philadelphia, a distance of 93 miles? 66. A man sets out to travel 275 miles. He walks 35 miles a day for 7 days ; in how many hours will he finish his jour- ney if he travels a mile in 15 minutes? 67. Multiply $16.25 by .08. 68. A man had $75.50 and lost f of it; how much had he left? 69. 34 + (315 r7)x2=? GRADED REVIEWS. 25 70. | of 880 times I of 600 = ? 71. 87.69 times 87.9= ? 72. (A + A + T 4 o) - & = » 73. If 8 bus. of wheat make 2 bbls. of flour, how many bushels will make 8 bbls. ? 74. 8 and 8 tenths is how much less than 8 tens and 8 tenths? 75. Express the following numbers in words : .023; 1000.12; 25.001. 76. If $728.36 is I of my money, how much money have I? 77. How many 5ths in £ of 12? 78. The product of two numbers is 984, the multiplicand is 82 ; what is the multiplier ? 79. The quotient of two numbers is 96, the divisor is 5 ; what is the dividend ? 80. The difference of two numbers is 802, the minuend is 821 ; what is the subtrahend? THIRD TERM. 81. To the L.C.M. of 2, 4, 8, 12, add the L.C.M. of 12, 3, 8, 6. 82. £ x f X | x f lacks how many of 1 whole one? 83. I is how much less than i? 84. f of f of f of | of 18 is what part of 30? 85. i of 60 + 7 is how many times $ of 27? 86. 24 is the divisor, 96 is the dividend and 4 is the quo- tient ; if I multiply the divisor and the dividend by 2 what will be the quotient? If I divide the divisor and the divi- dend by 2 what will be the quotient? Why? 87. £ c. 4- I c + f c. + t 9 2 c. is what part of 9 c. ? 88. James had | of an apple and gave away f of it ; how much had he left? 89. The subtrahend is £ , the difference is & ; what is the minuend? 90. How much less is the least common multiple of 4, 8, 16 than the L.C.M. of 3, 6, 9? 91. If $20 is i of a man's weekly wage, how much does he earn in a week? 92. From 8,454 subtract a number £ as large. 26 GRADED REVIEWS. 93. William had $214, John had 5 times as many dollars, and the difference between William's and John's money was what James had; how much had James? 94. A watch cost $24 and a chain £ as much ; what did both together cost? 95. What will 1 dozen dozen eggs cost at 2 c. each? 96. A table is 3 feet wide and 12 feet long ; how many square yards does its surface contain? 97. How many sq. inches in 13 sq. ft. ? 98. In 720 sq, inches how many square feet? 99. If I dig a hole 3 feet wide, 3 feet deep and 3 feet long, how many cubic feet of earth do I take out? 100. Subtract the number of cubic feet in i of a cubic yard from the number of cubic feet in 2 cubic yards. SIXTH YEAR. FIRST TERM. 1. Add 1 million and 1 millionth ; 2 thousand and 2 thou- sandths ; 3 hundred and 3 hundredths ; 1 ten and 1 tenth. 2. What will 82 tons of coal cost at $5.75 per ton? 3. What will 18 cigars cost at $3 per hundred? (N.B. One costs as many cents as they are dollars a hundred.) 4. What will 24 hats cost at $90 per hundred? 5. From 116 yards of calico 15f yards were sold; how much remained? 6. From the sum of $ + f + f take the sum of f + ^. (Answer in lowest terms.) 7. From 10 and 12 tenths take 3 and 2 hundredths. 8. A man bought 2 tubs of butter ; the first weighed 40| lbs., the second, 30| lbs. ; the tubs weighed 6£ and 7£> lbs. How many lbs. of butter did he buy? 9. Write the following as decimals and find the sum : Ttf> ToTTi 1000) To~0« To~0> To 10. Write the following as common fractions and reduce to lowest terms: .8 .25 .120 .18 .6. GRADED REVIEWS. 27 11. The minuend is f and the difference T 2 2 ; what is the subtrahend ? 12. The subtrahend is T ^, the difference is ^ ; what is the minuend ? 13. From 19 take 9f . 14. The sum of two numbers is l$f , one of the numbers is if; what is the other? 15. From 1 ten take 1 tenth, and take the difference from 1 hundred and 1 hundredth. 16. Find the sum of the answers to the following : 18 -s- 1.8; 18 -J- .18; 1.8 -- 18; .18 h- 18; .18 -J- 1.8; 1.8 -J- 1.8; 18 -~ 18. 17. A man had i of his money in one box, $ in another and I in another; what part of his money was in a fourth box? 18. If the whole of his money was $600, how much was in each box? 19. A man had i of his money in one pocket, I of his money in another pocket and $25 in another ; how much money had he? 20. A man has 5781.30 lbs of tea; he desires to put it in chests containing 165.18 lbs. ; how many chests must he order? 21. How much more is 19.9 than 18&? 22. The product is 1.665, the multiplicand is 3.33; what is the multiplier? 23. If I give $8.10 for 18 yards of gilt moulding, how much is that a foot? 24. If I give $3 for a bushel of chestnuts, for how much must I sell them per quart to make $1? 25. Multiply 19.19 by 19.000019. (FOR ADDITIONAL REVIEWS SEE LAST TERM OF FIFTH YEAR.) SECOND TERM. 26. f + f is how much greater than f x §■? 27. What will 51 yards of cloth cost at $2f per yd. ? 28. If 5f dozen hats cost $180§- what will 1 dozen cost? 29. What is the difference between f of £ of 60, and £ of £ of 60? 28 GRADED REVIEWS. 30. f- of 60 + f of 30 + f of 32 = ? 31. Wm. had f apples, John had f, Henry had $; how many did they lack of one dozen? 32. One man walks 11£ feet, another man walks 2f feet ; how much less than a rod is that? 33. Find the sum of £ + .25 + T % + & + &. 34. A man bought a hat and coat for $27.32. He sold the hat for $5.75 and the coat for $23.32; how much did he gain? 35. B. pays $18.50 for a cow and 3.5 times as much for a horse; what did he pay for both? 36. At 1.2 dollars each, how many books can be bought with $72? 37. At .45 dollars a pound how many pounds of tea can you buy with $1,935? 38. How many days in \ of a week + \ of a month of 31 days + } of a year? (365 days.) 39. John is 14 years old; how many weeks old is he? 40. What part of a year are 2 months + 1 month -f 2 months? 41. A. White in Boston sold John Brown 11 oz. tea at $2 a pound, 17 cigars at $4 a hundred, 2 dozen clothes pins at 4 c. a dozen ; make out a bill and receipt it. 42. What will be the cost of 6 pounds 5 oz. coffee at 40 c. a pound? 43. What part of a pound of tea are 3 oz. + 2 oz. + 1 oz. ? (Lowest terms.) 44. What part of 12 is 3? 4? 5? Add these factors. What is the sum? 45. (f -*- D + (| -*- f) + (i * f) = ? 46. If sugar is worth 8£ c. a pound, how many pounds can you buy for $2? 47. If I pay 72 c. for a peck and a-half of salt, how much is that a quart? 48. If a man get $3 for cutting a cord of wood in 3 lengths, how much should he get for cutting it in four lengths? 49. How much larger is £ than f? 50. John is 15 years old; \ of his age is £ of William's; how old is William? GRADED REVIEWS. 29 THIRD TERM. 51. From the sum of & + xfo + toV + & take the sum of 4 J_ 5 T5 i~ TUTTo* 52. Add 10 millions and 10 millionths + 10 hundred and 10 hundredths + 10 thousand and 10 thousandths. 53. From 9 tens and 9 tenths take 9 and 9 tenths. 54. Change these numbers to thousandths and find their sum: .08 + .03 + .6 + .7 + .009 + .8 + .08. 55. Add 14 and 14 tenths + 9 and 103 hundredths + 18 and 18 tenths. 56. Multiply 1 and 1 thousandths by 1 and 1 thousandth. 57. Multiply 16 tenths by 16. 58. Divide 3 and 6 tenths by 36. 59. Divide .36 by 36. 60. Divide 36 by 3.6; 36 by .36; .36 by .36; 3.6 by .36; 3.6 by 3.6, and find the sum of the answers. 61. | of f of 35 is what part of f of £ of 60? 62. What will 5i yards of carpet cost at f of a dollar a yard? 63. How many sixths in 6|? 64. In 5i how many 8ths? 65. Find the value in dollars, cents and mills of $& + $f *+■ $i • 66. How many fifths in 381? 67. £ of John's age is \ of his father's; how old is his father if John is 18 yrs. old? 68. If a man gave away £, £, and \ of his property what part of his property would he have left? If he had $90 how many dollars had he left? 69. Write 5 fractions that are equivalent to \\. (■&, |, etc.) 70. A man had $25 left after spending | of his money ; how much had he at first? 71. How much more is f + \ than |Xf? 72. Write five fractions that are equivalent to \. 73. Does a man give all of his money away if he gives ^, |, and \ of it away? Why? (Because the whole is $#.) 74. How much more is £ + f than f •*- f ? 30 GRADED REVIEWS. 75. What will a carpet that contains 108 square feet cost r at $1.10 a square yard? 76. What will a man earn in two weeks at $2f a day? 77. What will a man earn in a year at $12f a week? 78. What will a boy earn in a year at $lli a month ? 79. What will a boy earn in a week, .10 hours a day, at 3& c. an hour? 80. How much better is $10£ a week than $32£ a month for a year? 81. What will a man earn in two weeks at $2.Q a day? 82. What will a man earn in a year at $12.8 a week? 83. What will a boy earn in a year at $11.3 a month? 84. What will a boy earn in a week, 8 hours a day, at 3.3 c. an hour? 85. 3 tenths times .3 are how many more than .2 times .2? (SEE LAST TERM OF FIFTH YEAR FOR MORE TESTS.) SEVENTH YEAR. FIRST TERM. 1. How much greater is | divided by f- than f divided by I? 2. How much greater is f divided by f than f multiplied by I? 3. How much greater is f multiplied by £ than £ multiplied by*? 4. Add I + f + 1 + i: from the sum take •£ X f, and di- 6 vide the product by 3£. 5. The minuend is f , the difference is ^ ; what is the sub- trahend? 6. The difference is \\, the subtrahend is T \ ; what is the minuend ? 7. The multiplier is f , the product is |f ; what is the mul- tiplicand? 8. The multiplicand is f, the product is ^; what is the multiplier? GRADED REVIEWS. 31 9. The divisor is $, the quotient is f$ ; what is the divi- dend? 10. The sum of the numbers is Jf, the difference is ^; what are the numbers? 11. Find the sum of two numbers; 230 is f of the first number, and 180 is £ of the other. 12. 460 is j^ 2 o of a number; what is the number? 920 is ,92 of another number; what is the number? 13. In a room $ of the people are German, £ are French, J are English, 16 are American, 8 are Spanish; how many are there in all ? How many are there of each ? Ans. 96 in all. 14. Said A. to B., how much money have you? Said B., if I had £ as much again and $4 I should have $100. How much had B. ? 15. Find the sum of the numbers of which 48 is |, £ and f. 16. How many yards of carpet 1 yd. wide will cover a floor 36 feet long, 10 feet wide? What if carpet is only f yd. wide? 17. A township contains 200 square miles ; what would the whole town cost at $50 per A. ? 18. A room is 16 feet square and 10 feet high ; what will it cost to plaster the walls at 81 c. per square yd. ? 19. How many eggs worth £ c. each will pay for 66£ pounds of sugar at 21 c. per pound? 20. How much more will it cost to paint a wall containing 10 feet square than one containing 10 square feet at 8 c. a square foot? 21. My farm is 160 rods square ; what is it worth at $30 per acre? 22. Mr. Brown's farm contains 160 square rods ; what is it worth at $30 per acre? 23. A tank is 17 feet 7 inches long, 10 inches wide ; how deep must it be to hold 2 gals, of water? 24. How many bricks in a wall 20 feet long, 4 feet thick, 5 feet high? 25. By selling chestnuts for 9 c. a pint, I triple my money ; what did they cost me a bushel? 26. What will be the cost of 2 pounds 11 oz. of tea at $2 per pound? 32 GRADED REVIEWS. 27. What will 43 pounds of coal cost at $7 per ton? 18 pounds at $9 ? 28. What will it cost to shingle a shed 180 feet long, 20 feet wide, at $5 per thousand, one shingle to cover 20 square inches? 29. What will be the cost of 8 T. 6 cwt. of coal at $5 per ton? 30. What will be the cost of 24 boards 10 feet long, 1 foot wide, and 24 plank 14 feet long, 1 foot wide, at $18 per thou- sand? 31. A cellar wall, 24 by 30 feet, 8 feet high and 2 feet thick, is to be built; how many cubic feet will it contain? 32. What will be the cost of a carpet for a stair containing 20 steps if each step is 10 inches wide and one foot high, if the carpet is worth 60 c. per yd. ? 33. A floor containing 40 square yds. is 30 feet long ; how wide is it? 34. How many cords of wood in a pile 20 feet long, 10 feet high, and 4 feet wide? 35. If a pile of wood is 5 feet wide, 8 feet high, and con- tains 371 cords, how long is it? 36. What will it cost to dig a cellar 10 feet deep, 20 by 25 feet, at $2 a load? (1 cub. yd.) SECOND TERM. 37. How many sq. inches in the floor of the kitchen? (See next page.) 38. How many sq. ft. in the floor of the dining-room? 39. How many sq. yds. in the floor of the parlor? 40. What would it cost to carpet the floor of the hall with carpet 1 yd. wide, and costing $1.26 per yard? 41. What will it cost to carpet the 12 steps, each 12 in. broad and 6 inches high, at 75 c. per yard? 42. If this ground plan represented a field, how many boards would it take to fence it 12 boards high, boards 12 ft. long? 43. How much waste would there be? 44. If the parlor is 10 ft. high, how many bushels of wheat could be stored in it? (2150.42 cu. inches to the bushel.) GRADED REVIEWS. 33 K.— Kitchen. C. — Cupboard. D.— Dining room. P.— Parlor. H.— Hall. Teacher draw a simi- lar plan upon the black board large enough to be seen by the entire class. (See Ex. 37.) 45. If the cupboard floor is covered with 1 ft. of water, how many gallons will that be? (231 cu. inches 1 gal.) 46. I lay a barn floor 14 ft. long, and' use 1 dozen planks, 12£ in. wide and 2i in. thick ; what will they cost me at $18 per thousand? (board measure.) 47. A city built a street 2i miles long and 5 rods wide through Mr. Smith's farm; what will the city pay him, if the land is worth $50 per acre? 48. A man sold land at $20.50 per acre and received $3,280; what part of a section of land did he sell? 49. Brown has a farm containing 15f A. of land. He di- vided it into lots containing 12 sq. rods each, and sold them for $300 a-piece; what did he receive for them? 50. I buy i ton of cheese for $130 and retail it at 15 c. a pound; how much do I gain? 51. From a hhd. of molasses if were drawn ; how many gals, was that? 52. Gloucester County, N. J., contains 300 square miles. In 1870 this county raised 762,000 bushels of sweet potatoes; this was an average of how many bu. to the A. 53. At $2 a pound what will 8$ oz. of tea cost? 3 34 GRADED REVIEWS. 54. My parlor is 30ir feet long by 22 feet wide ; what will it cost to carpet it at $1.08 a yard, carpet f yd. wide? 55. A man has a space 10 feet long and 5 feet wide. He desires to build a cistern that will hold 20 hhds. ; how deep must he make it? 56. What will it cost to carpet a room 24 feet long and 18 feet wide, with carpet f yd. wide, at $f per yard? 57. If a room is 24^ feet long, 12i feet wide, what will it cost to carpet it at $f a yard, for carpeting £ yds. wide? 58. What will it cost to paint a box and its cover, each side of which is 2 feet square, at 5 c. per sq. foot? 59. What if I have a box each side of which contains 2 square feet? 60. A post stands § of its length in mud, £ in water, and 15 feet out of the water; how long is it? 61. John has $50 ; f of his money + $40 is | of what William has; how much has William? 62. I have a bath tub 6 ft. long, 3 ft. wide, and 2 feet deep : if I fill it within 3 inches of the top with water, how much less than a ton of water do I have? 63. Henry had £ of $2, John had $3; Henry's money is equal to what part of John's money? 64. 2 feet 6 inches is what part of 6 feet 2 inches? 65. If bricks are $3i per thousand, what will it cost to build a wall 240 feet long, 6 ft. high and 3 ft. thick, each brick containing 64 cu. inches? 66. What will 840 lbs. of coal cost at $7 per ton? 67. What will be the cost of 3,840 cigars at $3 per 100? 68. A bin is 20 ft. long, 10 ft. wide, and holds 840 bushels of wheat; how deep is the bin? (2,150 cub. in. to the bu.) 69. A man owns f of a boat and sells } of his share ; what part of the boat does he still own? 3 feet. Scale £ inch to the foot. Note.— Teacher draw this plan (on the b.b.) 3 feet long and 2 feet wide. GRADED REVIEWS. 35 70. How long is the room of which the above is a plan? How wide? (See plan, p. 34.) 71. What will it cost to lay tiles 8 in. by 6 in. to cover the floor, at $1.50 per sq. yd. ? How many tiles will it take? 72. What will it cost to fence a lot the same size at 50 c. a foot? 73. If a tank, how many gals, of water will it hold, being 2 ft. deep? 74. How much would the water weigh? THIRD TERM. 75. What will 2 rods 3 yds. 1 ft. 4 in. of fence cost at $46 per rod? 76. My neighbor having 9,356^ acres of land, sold £ of it to one man, and § of it to another ; what was the value of the remainder at $25f per acre? 77. Bought a horse for $160i and sold it for f of the cost ; how much did I lose? 78. A market woman, being asked how many eggs she had, replied: "244 equals f of them; " how many had she? 79. A merchant lost $ of his capital by one creditor, and f by another, and had $850 left; what was his capital? 80. A man paid $5,250 for a fast horse, which was f of all of his property; how much was he worth? 81. How many square ft. in a stone 6 ft. 3 in. long, and 4 ft. 9 in. wide? 82. How many steps will five men take in walking 5 miles if they take 2 feet to a step? 83. Analyze— A lady teacher paid $750 for a piano which was f of her salary for a year ; what was her salary ? 84. Analyze — Nine feet of a flag staff stand in the ground, which is 23 of its whole length; what is its length? 85. How many square ft. of leather will cover a box 24 inches long 18 in. wide and 6 in. high, including the lid? 86. Bought 40 acres of land at 75 c. per square yd. , and sold it so as to double my money. Required my gain. 87. A stationer paid $1.25 a gross for pencils and sold them for a cent a-piece; how much did he gain on 5 gross? 36 GRADED REVIEWS. 44 feet. 8 feet high. 88. How many dollars can be made from 50 lbs. 9 oz. of silver, allowing 412| grs. to the dollar? 89. Find sq. yds. in walls and ceiling of this room. 90. Find cost of bordering at 7i c. a yd. 91. Find the number of rods of fence around a lot of the same size! 92. Find the perches of stone in the walls, if 2 ft. thick. 93. Bought three tubs of butter weighing 25^, 29f, and 27& lbs. The empty tubs weigh 5 T 3 e, 5f, and 5£ lbs; what did the butter cost at 234 c. a lb. ? 94. What is the value of a silver vessel weighing 1 lb. 7 oz. 3 pwt. at $9 a lb. ? 95. What will 3 cwt. 40 lbs. of coal cost at $7.35 per ton? 96. f lbs. + 2| oz. + j pwt. = ? 97. Paid $2. 50 for 18f yds. of ribbon, and made it into badges of £ of a yd. each, and sold them for 12i c. each; what was the profit? 98. What is the sum of f miles and f rods? 28 feet. 10 feet high. 18 feet. 8 99. Find the sq. yds. in walls, floor, and ceiling. 100. Find the cost of wall-paper bordering at 11$- c. per yard. 101. How many tiles 8 in. by 6 in. will it take to cover the floor? 102. How many cords of wood could be placed in the room even with the ceiling? GRADED REVIEWS. 37 103. How much cambric $ yds. wide is required to line a dress containing 15 yds. of silk f yds. wide? 104. How many sheets of tin 14 by 20 inches will cover a roof, each side of which is 25 ft. long and 21 ft. wide? 105. How many rolls of paper 9 yds. long i ft. wide will it take to paper the four sides of a room 18 by 16 ft. and 9 ft. high, deducting 81 sq. ft. for windows and doors? 106. If I have $ of an acre of woodland and sell 14| sq. rods, how much have I left? 107. My woodshed measures on the inside 18-J ft. long, 8 ft. wide, and 12 ft. high ; how many cords of wood will it contain? 108. How many paving stones 6 in. by 8 in. will pave a street 270 ft. by 50 ft., and how much will they cost at 9 c. each? 109. What will it cost to fence a lot 26 rods long and 20 1 rods wide at 25 c. a ft. ? 110. At $£ per yd. what will it cost to carpet the floor of a room 24 ft. long and 18 ft. wide, with carpet f of a yd. wide? Note.— It will be well now to review the sixth year's work. EIGHTH YEAR. FIRST TERM. Note.— Let a pupil read a problem and tell what is given, what is required, and how he would work it. When all the problems have been thus read, give five or six a day for the class to work. 1. A grocer having 1,925 pounds of sugar, sold 12$ per cent, of it; how many pounds did he sell? 2. The cotton crop of a planter last year was 450 bales ; this year it is 12 per cent, more; what is this year's crop? 3. An oil well producing 2,375 gallons a day, loses 15$ of it by leakage; what amount per day is saved? 4. A hogshead of molasses contained 63 gallons, but 15 gals, leaked out; what per cent, was the leakage? 5. A father gave his son $30 as a birth-day present, which 38 GRADED REVIEWS. was 6$ of the sum given his daughter ; how much did he give his daughter? 6. Mr. Brown sold a carriage for $633, which was 5£$ more than it cost him; what was the cost? 7. A lady sold her piano for $628.25, which was 12i$ less than it cost her-; what was the cost? 8. Sold a consignment of tobacco for $958.25; what was my commission at \ per cent. ? 9. Mr. White sold goods amounting to $2,240, for which he ■charged $53.20 commission; what per cent, was that? 10. An agent charged 2% for selling a bill of goods, and received $93.50 commission; what was the amount of his •sales? 11. After retaining 2i commission for selling a consign- ment of flour, my agent paid me $3,381.30; what was the amount of sales? 12. I sent my agent $3,502 to buy wool; after deducting his commission of 3$, what sum did he invest? 13. A man having $1,450 paid 18$ of it for flour; how much did the flour cost? 14. In a school of 125 pupils 35 are boys ; what $ of the school is boys? 15. A regiment of 1,050 men went into battle and came out with 588 men; what $ was lost? 16. The rent of a house is $450, which is just 9$ of its value; what is its value? 17. I paid $210 for a horse, which was 30$ less than I paid for a carriage; what did I pay for the carriage? 18. I sold a house for $799 and lost 15$ ; what was the cost of the house? 19. Goods bought for $850 were sold at a profit of 15$ ; what was the selling price? What was the gain? 20. Sold goods for $620 that cost $500; what was the gain per cent. ? 21. Sold a piece of property so as to gain $24.90, which was 20$ of its cost; what was the cost? 22. By selling iron at $49.50 a ton a profit of \2\% is made ; what was the cost of the iron? GRADED REVIEWS. 39 23. My agent charges me $35 commission for selling a piece of property for $700; what % does he charge me? 24. My agent charged me $360 for selling my house; what did he get for the house, his rate per cent, being 2£? 25. My agent is to buy $800 worth of sugar for me ; how much mast I send him so that he can have 2% commission? 26. I send my agent $816 to buy apples ; how many bbls. can he buy at $5 per bbl., after taking his commission of 2%t 27. A land speculator paid $6,075 for a farm, and sold it at 15# less than cost; how much did he lose? 28. A. began business with $4,200 and increased it 7% in one year; how much capital did he then have? 29. B. bought a house for $6,500 and afterwards sold it at a loss of 6$; what did he get for it? 30. Henry spelled 332 words out of 830 ; what per cent, did he spell? 31. Mr. Smith sold some wheat, making $360, which was a profit of 5%; what did the wheat cost him? 32. A provision dealer sold 800 bbls. of beef for $12,000, which was a loss of 25$ ; what did the beef cost a bbl. ? 33. Mr. Williams bought a farm for $875, and was offered 33$ advance for his bargain ; how much was he offered? 34. What was the loss on a piano that cost $1,260, and sold at 20$ loss? 35. What was the gain on a farm that cost $3,585, and sold at a gain of \2W 36. A dealer bought a span of horses for $450, and sold them for $600; what per cent, was his profit? 37. I sold a carriage for $432, which was 20$ above cost ; what was the cost? 38. I sold another carriage for $432, which was 20% less than cost; what was the cost? 39. I sold two cows for $60 each. On one I gained 20%, on the other I lost 20% ; what was the cost of each cow? How much did I gain or lose? 40. An agent sold a house for $7,265; what was his com- mission at VtfA 41. An auctioneer charged $405 for selling a farm, which was Vz%\ for what did he sell it? What did the owner get? 40 GRADED REVIEWS. 42. The net proceeds of goods sold were $4,845, and the agent charged 2\% commission and 2i% for guaranty ; what was the amount of sales? 43. I remitted to an agent $7,098 to buy cotton; after de- ducting his commission of 4 per cent, how much will be left for him to invest? 44. I desire my agent to invest $800 for me in cigars. His commission is to be 3$; what amount must I send him? 45. How many hats at $5 each can be bought with $2,575 sent to an agent, after he has taken his commission of 3#? 46. I buy goods for $445 and sell them for $712 ; what per cent, do I make? 47. I buy a village lot for $530 and sell it for $424; what H> do I lose? 48. Mr. Britton paid $8,280 for a farm and sold it so as to gain 10$; what did he receive for it? 49. What must I ask for a book costing $1.80 so as to make 5 per cent, on my money? 50. By selling a farm for $2,760, a man gained on the cost 5%; what was the cost? 51. I buy tea for 80 c. a pound and sell it at 92 c. a pound ; what % do I make? 52. I pay 10 cts. a pound for sugar and sell it for 91 c. ; what per cent, do I lose? 53. I make $20 on a cow by selling her at an advance of 5%; what did she cost me? 54. Mr. Thornton buys coffee at 11 c. a pound and sells it at 9 T 9 o c. a pound; what per cent, does he lose? 55. What is the per cent, of gain if I sell goods costing $842 so as to make a profit of $252.60? 56. At \% commission, what is the commission on the sale of 648 bbls. of potatoes at $2 per bbl. ? 57. An auctioneer sells fur me a chair for $2, a table for $10, and 50 yards of carpet at 60 c. per yard ; if his commis- sion is 4$, what will be due me for the goods? How much commission will he receive? 58. What is the per cent, of commission when an agent reserves to himself $36 of $756, sent him to invest? 59. I send my agent $1,130 to buy corn at $2 per bushel; GRADED REVIEWS. 41 how many bus. can he buy after deducting his commission of 3 per cent. ? 60. A man owed $8,328. Failing in business he paid 30$ of his debts; how much did he pay? 61. Mr. Lewis had $150 worth of hens, and sold them so as to gain 16$; what did he receive for them? 62. Which is less, 6$ of 8,450 or 5$ of 9,450, and how much? 63. A farmer having 240 bu. of wheat sold £ of it ; what a was that? 64. 4,808 is 8$ of a number; what is the number? 65. By selling 400 bags of apples at $5 per bag I make 25$ ; what did the 400 bags cost me? 66. A man sold some hats for $196 and thus lost 2$; what did they cost him? 67. Goods that cost $111 are sold for $118.77; what $ is made? 68. A boy has two tops. He sells them for 50 c. each; what did they each cost him if he gained 50$ on one and lost 50$ on the other? 69. What is the commission on selling $64,900 worth of goods, the rate being i$? 70. My agent charged me $277, commission being 3$; what did he get for the goods? 71. A. sends his agent $643.77 to buy flour; how many dollars will he invest in flour, his commission being 3£$? 72. A gentleman having $6,784.50 in a bank, draws out 7i$ of it; how much does he draw out? 73. A man buys a book for $1.25 and desires to sell it so as to make 8$ profit; what must he sell it for? 74. What did a man get for a house costing him $805, if he sold it at a loss of 10$? 75. A man invests $641 and makes a profit of $64.10 by so doing; what $ does he make? 76. M. Billin makes $37.50 or \% on an investment; how much did he invest? 77. By selling goods for $23.31 a profit of 11$ is gained; what was the cost of the goods? 78. Mr. Jones sells his watch for $95, which is a loss of 5$; what did he pay for the watch? 42 GRADED REVIEWS. 79. There have been 21 presidents of the United States. 19 -£ T % of them died in office; how many died in office? 80. Two of the original 13 colonies were settled by the Dutch; what per cent, did the Dutch settle? 81. Of the first discoverers and explorers 6 were English, which is 33£ per cent, of the whole number; how many discoverers and explorers were there? 9 were Spanish; what per cent, were Spanish? 2 were French; what per cent, were French? 1 was Dutch; what per cent, was Dutch? 82. There were five battles fought in New Jersey during the war of the Revolution, which was 10 per cent, of the whole number of important battles fought during the war ; how many important battles were fought? 83. Fourteen of the battles were fought during 1777; what per cent, of the whole number was that? 84. During the second war with England the principal land battles numbered 22, and 14 of them were gained by the Americans; what per cent, were lost? 85. Buy goods for $1,340, and sell them for $1,487.40; what per cent, do I make? 86. In a class of 42 all were present but 2 ; what was the per cent, of attendance? 87. A man sold sugar at .0794 c. a Vound, and lost f per cent. ; what did it cost him? How much money would he lose if he sold 10,000 pounds? 88. A boy sold popcorn for 27 c. a pint, and made a profit of 350 per cent. ; what did the corn cost him? 89. By selling chestnuts for 14 c. a pint I make 250 per cent. ; what did the nuts cost me a peck? 90. At 2£ per cent, how much commission will an agent get for selling 842 bbls. of flour at $5 a bbl. ? 91. An agent receives $3. 11 commission for selling goods at i per cent, commission; how many dollars' worth did he sell? 92. A. pays $116.60 for $5,830 insurance; what rate per cent, does he pay? 93. If it cost $875 to insure a cargo of goods valued at $50,000, what is the rate of insurance? GRADED REVIEWS. 43 94. What will it cost to insure a house worth $2,400 for £ of its value, at li per cent. ? 95. What will 50 shares of railroad stock cost at $95? 96. What must I pay for 40 shares of railroad stock at 102, bro. being | per cent. ? 97. I buy 30 shares of railroad stock at 95 and sell it at. 105; what do I make, bro. being 2 per cent, each way? 98. Buy 10 shares railroad stock for 90 and sell it for 95 ; what do I make, paying 3 per cent. bro. for selling? 99. How many shares of stock can I buy for $1,940, paying 2% bro. , each share being worth 95 ? 100. I pay my broker \%\ how many shares of railroad stock can he buy for $1127.50, stock being worth 102? 101. I send my broker $1,030 ; how many shares of H. R E. stock can he buy me at 98, bro. being 5$? 102. Send my agent in Boston $2,366.40 to buy shoes; how many pairs can he buy after taking out his commission of 2#, the shoes selling for 40 c. a pair? 103. What will be the cost of insuring my house for $6,500 at f 1 the furniture for $2, 500, at |#, and the barn and con- tents for $3,000, at \$% 104. A merchant insured $3,600 worth of goods in one com- pany at \\%, and $2,500 in another at \\.%\ what was the cost? 105. The whole amount to be raised by tax in a state is $10,600. The property of the town is valued at $1,250,000, and there are 300 polls, each taxed $2. What is E.'s tax, who has $400 worth of real estate and $1,000 worth of personal property, and who pays 1 poll? 106. A tax of $6,971.60 is assessed upon a certain town, containing 430 taxable polls at $1.25 each; the real estate is valued at $1,354,000, and the personal property at $75,800; what will be R. 's tax who pays 1 poll and whose taxable property is valued at $5,750? 107. In a certain school district there are 200 polls, each of which is taxed $2, and the entire property of which is valued at $125, 000. A schoolhouse costing $5, 400 is to be built by public tax; what will be Mr. J.'ja tax whose property is assessed at $4,500, and who pays one poll? 44 GRADED REVIEWS. 108. How must goods be marked that cost $3.50 a yard, so that 12ifc may be deducted from the marked price, and still a profit made of 15$? 109. Bought ladies' hats at $5.10 ; what price must they be marked, that 15% may be deducted and leave 20 per cent, profit? 110. Bought a horse for $250 ; what must I ask for it that I may deduct 20 per cent, and leave a profit of 20 per cent. ? 111. A man insured his life on the endowment plan for $4,000 for 5 years, at $51.85 per $1,000. He died after being insured 2 years ; how much would have been saved had he taken out a life policy, with annual payments of $13.19 per $1,000? 112. A gentleman aged 30 insures for $6,000, at $30 per $1,000. After 5 years the directors reduced all further pre- miums one half ; how much will he have paid in premiums at the age of 60? 113. Buy goods for $130 and sell them for $156; what per cent, do I make? 114. I sell goods for $144 and gain 20 per cent ; what per cent, would I have gained had I sold for $150? 115. Having purchased a house for $4, 500, and spent $500 in improvements, I sold it for $5,800; what per cent, did I make on my investment? 116. If I sell f of an article for the cost of the whole of it, what per cent, gain do I make on the part sold? (Suppose $4 were paid for the article.) 117. A dealer in real estate sold a farm for Mr. A., charg- ing him 5 per cent. His commission was $375 ; for what did he sell the farm? 118. My agent in N. Y. bought a bill of goods for me amounting to $3, 500. What must I remit, allowing him a commission of 21 per cent. ? 119. I received $3,700 to invest in land for Mr. B. ; first de- ducting my commission of 8 per cent., how much can I ex- pend for land? 120. I insure $1,700 on my house, $200 on my furniture and $100 on my books for 3 years, paying $18 ; what is the rate per annum? GRADED REVIEWS. 45 121. Sold two horses for $100 each, gaining 25 per cent, on one and losing 25 per cent, on the other ; how much money did I lose? 122. What is the specific duty on 12 casks of wine, each containing 40 gals., at $1.50 per gal., allowing 2 per cent, for leakage? 123. What is the ad valorem duty, at 25 per cent., on a quantity of merchandise invoiced at $3,500? 124. Find the duty on 120 chests of tea, gross weight 148 lbs. each, allowing 3 per cent, tare, at 31 c. a pound? 125. An importer receives an invoice of 320 dozen pint bot- tles of ale, invoiced at 85 c. per dozen. If 5 per cent, of the bottles are found broken, what will be the duty at 40 c. a gallon? 126. I insured my house, worth $20,000, for f of its value, -at an annual premium of i per cent. At the end of 10 years it was burned; what did I lose? What was the net loss of the insurance company? 127. I sold goods for $208 and gained 30 per cent. ; would I have gained or lost had I sold them for $150, and what per -cent. ? 128. I buy a horse for $180, which is 10 per cent, less than his real value. I sold him for 10 per cent, more than his real value; what did I get for him? 129. I buy a horse for $57, which is 5 per cent, less than his real value. I sell him for 8 per cent, more than his real value; what do I get for him? 130. I buy 50 shares of railroad stock at 93 and sell it for 104 ; what do I make, brokerage being i per cent, for buying, and ■f per cent, for selling? 131. I sent my agent 50,000 bbls. of flour, which he sold at $6 per bbl. On this he is allowed 2%. I then desire him to invest the balance in sugar at 5 c. per pound, after taking out his commission of 5$; how many pounds did he buy? Note.— Call the attention of the pupils to this fact. The amount left after tak- ing out the two per cent, contains what is to be invested in sugar and agt's ■commission. Therefore, it must be divided by 1.05 to find what he will invest, which is $280,000. If they make the mistake of multiplying the $294,000 by five per cent, they cheat the merchant out of $700 worth of sugar; because they pay the agent commission on his commission. 46 GRADED REVIEWS. 132. I send my agent corn, which he sells for $2, 000. After taking his commission of 1% for selling, he is to invest the balance in wheat, after taking out 2% for buying ; how much will he have to invest? 133. I send my agent $8,573.10 to buy apples at $5 a bbl., after taking out his commission of 2%. He buys the apples and the next day they advance to $7 a bbl. I direct him to sell them again and to take a commission of 3% ; how much money does he return me? SECOND TERM. 134. Newark, N. J., Oct. 8, 1884. $520. On demand I promise to pay A. B., or order, five hundred and twenty dollars, value received. J. W. Demand was made Dec. 8, 1884. The note was not paid till Feb. 8, 1885; what was due? 135. Newark, N. J., Oct. 8, 1884. $520. Six months after date I promise to pay A. B., or order ? five hundred and twenty dollars, value received. J. W. The note was paid Sept. 8, 1885; what was due? 136. Newark, N. J., Oct. 8, 1884. $520. Six months afterdate I promise to pay A. B., or order, five hundred and twenty dollars, value received, with interest. J. W. The note was paid Aug. 8, 1885; what was due? 137. Newark, N. J., Oct. 8, 1884. $520. On demand I promise to pay A. B., or order, five hundred and twenty dollars, value received with interest. J. W. Demand was made Dec. 8, 1884. The note was not paid till Feb. 8, 1885; what was due? 138. A. gave B. his note for $320, and when the note was; GRADED REVIEWS. 47 due paid him 6$ for the use of his money. The interest amounted to $21.12; for how long did the note run? 139. A. offers B. $11 for the use of $250 for 6 mo. 18 days; what % is that? 140. What will be the interest on $10,000 for 1 year 1 mo. 6 days, at 3$? 141. A. loaned different men sums of money at 6#. At the end of 9 mo. 18 days the interest due him amounted to $1,920; how much money did he loan? 142. Find the compound interest on $100 for 2 years at 6#, annually. 143. Find the compound interest on $100 for 2 years at 6#, semi-annually. 144. Find the compound interest on $100 for 2 years at 6#, quarterly. 145. For how much must I give my note to receive $720 at the bank, time being 1 mo. and rate W 146. I ask $340 cash for a cow. If I sell her for a note for $360, payable at a bank in 2 years 3 days do I make or lose money, and how much? 147. Which is worth the most and how much, $240 cash or a note for $250.51, due in 8 mo., without interest, rate 6#? 148. Add the bank discount, simple interest, true discount and compound interest of $500 for 2 years 6 mo. at 6#. 149. A man gave his note Jan. 1, 1868, for $800. Jan. 1, 1870, he paid $196; Jan. 25, 1872, $75; March 31, 1873, $161.50; what was due March 31, 1874? (6#). 150. The principal is $1,600. Note given Jan. 1, 1868. En- dorsed as follows: Jan. 1, 1870, $392; Jan. 25, 1872, $150; March 31, 1873, $323 ; what was due March 31, 1874? 151. A. gave B. his note for $400 on Jan. 1, 1868. Jan. 1, 1870, he paid him $98; Jan 25, 1872, $37£; March 31, 1873, $80.75; what did he still owe March 31, 1874? 152. Newark, N. J., Jan. 14, 1884. $700.* Six months after date I promise to pay A. B., or order, seven hundred dollars, value received. J. W. There was paid on this note Oct. 1, 1884, $110.50; March 1, 48 GRADED REVIEWS. 1885, $10; June 1, 1885, $111; Oct. 1, 1885, $110; what was due Jan. 1, 1885? (N.B. No interest till after six months.) 153. A note given April 15, 1867, for $1,000 had payments as follows: $134 Nov. 9, 1807; $236 July 9, 1868; $21 Jan. 9, 1869; $263 July 9, 1870; what was due July 9, 1872? 154. What is due on a note Jan 1, 1874, that was given for $240 Jan. 1, 1870, and had been endorsed as follows : April 1, 1871, $15; Dec. 1, 1871, $15.60; Sept. 1, 1872, $129.45? 155. I buy a horse for $500 cash ; for what amount must I draw my note, payable in 60 days, to be discounted at a bank at 10#? 156. I have a note drawn for two years without interest for $228 ; what is it worth now, money being worth 7$? 157. I take a note for $400, bearing interest at 10#, due in 3£ years; what is its present worth, money being worth 7$? (N.B. This note will be worth $540 in 3i years.) 158. To the interest on $854 for 2 years 3 mos. 12 days, at 7%, add the interest on $23.03 for 2 yrs. 8 mos. 12 days at 8$, and from the sum take the interest on $2 for 2 yrs. 2 mos. 2 days at 2%. 159. What is the difference between the true and bank discount on $968.80 for 3 years 6 mos. 6 days, at 6#? 160. Find the interest on $24 for 18 days at 5$, and add it to the interest on $5 for 18 days at 8%. 161. How long will it take $12 to double itself at 6#? 162. A baby 6 mos. old is named for its uncle, who then gives it his note for $5 at 10$, payable when baby is 21 years old ; how much will uncle owe baby? 163. Another baby is named for his uncle, and when he is- 21 years old he receives $10 principal and $12.40 interest; how old was the baby when named? 164. Newark, N. J., Sept. 1, 1870. On or before two years from date I promise to pay A.B.„ or order, six hundred dollars, value received, with interest. J. W. There was paid on this note March 1, 1871, $118 ; July 1, 1871, $110; April 1, 1872, $25; what was due Aug. 1, 1872? 165. A note, given July 1, 1862, for $450 at 6$, was paid GRADED REVIEWS. 49 February 17, 1868. How much interest was due when paid? 166. Mr. White pays Mr. Brown $110.25 for the use of some money for 3 years and 9 months at 7%. How much didB. lendW.? 167. If a note amounts to $290.50 in 2f- years and 12 days at 6#, what is the principal? 168. B. agrees to pay A. $45.50 for the use of $260 for 2\ years. What rate does A. get on his money? 169. Mr. Williams let Mr. Henry have $350 at S% interest. H. paid W. $63 for the use of it. How long did H. keep the money? 170. Note given May 20, 1874, for $16,500; endorsed: Sep- tember 8, 1874, $450 ; December 14, 1874, $300 ; February 26, 1875, $500; July 5, 1875, $300; November 14, 1875, $2,500. What was due May 2, 1876? 171. What are the avails of a note, discounted at a bank, for $500 at 10#, time being £ of a year? 172. A. gives B. his note for $77.25, January 1, 1881, with- out interest, for 1 year and 6 months. January 1, 1882, C. cashes it. How much should he pay B. ? 173. In what time will $45 gain $1.44 at 4#? 174. August 15, 1871, A. gives B. his note for $88.56, with- out interest, for 1 year and 8 months. December 15, 1871, C. cashes it. How much should he pay B. ? THIRD TERM. 175. If 5 men, working 3i hours a day for 7£ days, make 15 boots, how many boots can 7 men make working 2\ hours a day for 10 days? 176. If 6i carloads of coal, each containing 4£ tons at $8& a ton, are worth $243f , what will be the cost of 13 carloads, each containing 9 tons at $16f per ton? 177. If 28 men in 10 days of 10 hours each can cut 280 acres of grass, how many A. can 20 men cut in 8 days of 8 hours each? 178. How long will it take 50 men working 8 hours a day 4 50 GRADED REVIEWS. to dig a ditch 420 rds. long, 4 feet deep and 3 feet wide, if 40 men can dig it in 20 days of 8 hours each? 179. A. B. and C. go into business Jan. 1, 1868. A. puts in $1,000, B. $800 and C. $900. After 3 mos. they each add $5 more to their share. At the end of the year they find they have gained $10,000; what is each man's share of the gain? 180. Smith & White go into partnership for one year. Smith puts in $900 and White $1,200. After 4 mos. Smith puts in $400 more. They gain $1,500; what is each man's share? 181. 3 men hire a pasture for $80. A. has 6 cows, 2 horses and 10 sheep. B. has 20 sheep. C. has 6 sheep, and four cows. They count 2 sheep equal to one cow or horse; what share of the rent should each man pay? 182. A. and B. go into business Jan. 1, 1883. A. puts in $800, B. puts in $900, and April 1, they take in C, who puts in $500. They find, Jan. 1, 1884, they have gained $1,600. What amount of the gain will each man receive? 183. Three men hired a pasture for $100. One put in 25 sheep and 2 cows ; another, 12 sheep and 5 cows ; and the other, 6 sheep and 10 cows ; what should each pay if 1 cow eats as much as 5 sheep? 184. A man working eight hours a day builds a cistern in 20 days ; how long will it take him to do the same work, if he labors 10 hours a day? 185. If 72 men dig a ditch 20 yds. long, 1 foot 6 inches broad and 4 feet deep in 3 days, of 10 hours each, how many men would be required to dig a trench 30 yds. long, 2 feet 3 inches broad and 5 feet deep in 15 days of 9 hours each? Note.— This book should be used as a text book in the higher grades. Let the first, second, third and fourth year's work be done mentally, through the year, and after the eighth year's work is finished, take the rest of the year in review- ing the fifth, sixth, seventh and eighth year's work as slate exercises. A pupil who can work all of the tests in this book under standingly is ready for any ordinary business, or a high school course. A^TSWEES TO PEOBLEMS. FIFTH YEAR. 1. 4,000.004 29. 38 57. .64 c. 2. 608,692 30. 26£ 58. $8.05 3. 12,216.222 31. 50,335.318 59. 504,999.495 4. $2,463 32. $21,250 60. $11 •5. $3,971.75 33. $1.08 61. $11,424 6. $5,355 34. $2,875 62. 48 7. 9,333 35. $4,791.36 63. 6£ S. $180.50 36. $29.75 64. $219.64 9. $124.75 37. $419 65. 3 h. 6 m. 10. $95,625 38. 20 66. 7i h. 11. $32.25 39. $3.12 67. $1.30 12. 195 40. $2,400 68. $45.30 13. 76.8816 41. $1,038.50 69. 158 14. 21 days 42. 3,087,404,000 70. 176,000 15. $105.36 43. $820 71. 7,707.951 16. 2,500.14 44. 151.8 72. ft 17. 273 45. 78 73. 32 18. 83.405 46. $2.29 74. 72 19. $830.56 47. 10 75. No Ans. gi 20. 12 times 48. 1 c. 76. $3,641.80 21. 16 boys 49. $1,604 77. 20 22. 3 50. 1.324 78. 12 23. 4,885 51. $2.88 79. 480 24. 194.795 52. $15,825 80. 19 25. 10c. 53. .50 81. 48 26. 11.1 54. $23.52 82. I 27. $78.15 55. $2.56 83. £ 28. 155 56. .30 c. 84. i 52 GRADED REVIEWS. 85. 3 times 91. 100 97. 1,872 86. 4 92. 5,636 98. 5 87. i 93. $8.56 99. 27 88. i 94. $28 100. 45 89. | 95. $2.88 90. 2 96. 4 SIXTH YEAR 1. 1,002,310.132001 29. 7i 57. 25.6 2. $471.50 30. 81 58. .1 3. 54 c. 31. 9M 59. .01 4. $21.60 32. 2U 60. 122 5. 100£ 33. li 61. i 6. f 34. $1.75 62. $3f 7. 8.18 35. $83.25 63. 3 e 9 8. 58& 36. 60 64. y 9. 1.666 37. 4.3 65. $1,733* 10. «& 38. 57f 66. 1921 11. 1 39. 728 67. 84 12. | 40. A 68. $5 13. 9f 41. $2,135 69. No Ans. given 14- 21 -LI. 32 42. $2,525 70. $125 15. 90.11 43. f 71. If 16. 112.21 44. 1 72. No Ans. given 17. U 45. 2f| 73. No. 18. No Ans. given 46. 23 T 9 7 74. n 19. $50 47. 6 c. 75. $13.20 20. 35 48. $4.50 76. $32 21. 1.1 49. | 77. $655* 22. .5 50. 9 78. $136 23. 15 c. 51. 1.085 79. $2 24. .125 c. 52. 10,011,000.11001080. $150.83 25. 364.61036461 53. 81 81. $31.2 26. ft 54. 2.299 82. $665.6 27. 16£ 55. 45.23 83. $135.6 28. 31ff 56. 1.002001 84. $1,584 85. .5 GRADED REVIEWS. 58 SEVENTH YEAR. i. H 38. 287f 75. $120.8078 2. A 39. 46$ 76. $84,325.46 3. No. 40. $36.68 77. $128.40 4. * 41. $4.50 78. 305 5. * 42. 151 79. $3,150 6. * 43. 5 boards 80. $12,250 7. ft 44. 3,358.8+ 81. 29{i 8. f 45. 448|ff 82. 66,000 9- f 46. $7,875 83. $1,000 10. f andf 47. $15.75 84. 75 ft. 11. 516 48. i 85. 91 sq. ft. 12. 500 and 1,000 49. $61,500 86. $145,200 13. 96 50. $20 87. $29.75 14. $72 51. 281 88. $708|f 15. 304 52. 3|) 89. 152f 16. 40 and 531 53. $1.07 90. $2.35 17. $6,400,000 54. $106.48 91. 6tf 18. $57.60 55. 3* ft. 92. 60|f 19. 200 56. $48 93. $15.59 20. $7.20 57. $31.75 94. $14.3622 21. $4,800 58. $1.20 95. $1.2495+ 22. m 59. 60 c. 96. 7oz. 15pwt. 6f gr 23. 5 inches 60. 36 feet 97. $16.25 24. 8,400 61. $80 98. 178 rds. 1 yd. 4f 25. $1.92 62. 31* in. 26. $5,775 63. f 99. 215| 27. $.1505 64. if 100. $3,731 28. $129.60 65. $37,908 101. 1,464 29. $41.50 66. $2.94 102. 381 30. $16.42 67. $115.20 103. 12f 31. 1,728 68. 62Min. 104. 540 32. $88 69. A 105. 131 33. 12 70. 72 and 48 106. 1251 34. 6i 71. $576 107. 13£ 35. 120 ft. 72. $120 108. $3,645 36. $370.77 73. 51,705+ 109. $379.50 37. 33,926| 74. 211 T. 110. $56 54 GRADED REVIEWS. EIGHTH YEAR. 1. 240.625 38. $540 75. 10* 2. 504 39. $50, $75, $5, 76. $7,500 3. 2,018.75 40. $108,975 77. $21 4. 2SH% 41. $27,000 78. $100 5. $500 42. $5,100 79. 4 ■6. $600 43. $6,825 80. 15 T 5 3* 7. $718 44. $824 81. 18 8. 4.79 45. 500 82. 50 9. 2| 46. 60* 83. 28* 10. $4,675 47. 20$ 84. 36^ 11. $3,468 48. 9,108 85. 11* 12. $3,400 49. $1.89 86. 95* 13. $261 50. $2,628.58 87. $6 14. 28$ 51. 15% 88. 6 c. 15. 44$ 52. 5* 89. 64 c. 16. $5,000 53. $19 90. $1054 17. $300 54. 10* 91. $622 18. $940 55. 30* 92. 2* 19. $977.50 56. $6.48 93. If 20. 24* 57. $40.32 94. $24 21. $124.5 58. 5* 95. $4,750 22. $44 59. $548.54 96. $4,100 .23. 5* 60. $2,498.40 97. $180 24. $14 61. $174 98. $20 25. $816 62. 5* and $344 99. 20 26. 160 63. m% 100. 11 27. $9114 64. 60,100 101. 10 '28. $4,494 65. $1,600 102. 5,800 29. $6,110 66. $200 103. $100.63 30. 40$ 67. 7* 104. $794 31. $7,200 68. $1 and 33 c. 105. $13.20 32. $20 69. $162.25 106. $27,124 33. $1,1631 70. $92,334 107. $182 34. $252 71. $622 108. $460 35. 448£ 72. $508.84 109. $720 36- 33# 73. $1.35 110. $375 37. $360 74. $7244 111. $309.28 GRADED REVIEWS. 55 112. $3,150 139. Wo 166. $420 113. 20% 140. $330 167. $250 114. 25% 141. $40,000 168. 7 115. Wo 142. $15.73+ 169. 2 y. 3 mo. 116. 33^ 143. $15.92+ 170. $14,603.4 117. $7,500 144. $16.05 171. $491.25 118. $3,578.75 145. $723.98 172. $75 119. $3,425.92+ 146. $23.56 L. 173. 9 mo. 18 da. 120. .003 147. 87* Note 174. $82. 121. 13* c. 148. $294,122 175. 20 122. $705.60 149. $636 176. $1,950 123. $875 150. $1,272 177. 128 124. $602.95 151. $318 178. 16 da. 125. $15.20 152. $406 179. $3,703.70 126. $8,600, $11,400 153. $560 2,962.96 127. 6% 154. $97.20 3,333.33 128. $220 155. $508.91 180. $760.56+ S. 129. $64.80 156. $200 739.43+ W. 130. $487i 157. $433.74 181. $26f, $34£, $18| 131. 5,600,000 lbs. 158. $141.37+ 182. $616^ A. 132. $1,941.17 159. $36.10 693fi B. 133. $11,413.99 160. 8c. 289±f C. 134. $525.20 161. 16 y. 8 m. 183. 27& 135. $533 162. $15.25 28|f 136. 546 163. 4 months 43f| 137. 525.20 164. 408 184. 16 138. 1 y. 1 mo. 6 d. 165. $151.93 185. 45 GEOGRAPHY. LOCAL. Point to where the sun rises. Point to the east. Which are the cardinal points of the compass? In what direction does your school building face? Is the form of the building oblong or square? Which direction is it the longer? In what part of the building is your room? What street near the front of the building? In what direction does it extend? In what part of the grounds is the building? Bound the building by streets. In what direction does the land slope? Do you live in a city, village, or town? In what direction is your home from the school? the church? the post-office? the depot? About how long is your city from east to west? north to south? What building or street is one mile from the school? How long would it take you to walk there? As you go home from your school is the land level or hilly? In what direction is it up hill? down hill? What do we breathe? What is air called when in motion? What is rain? snow? hail? What is a spring? a river? In what county do you live? What counties border it? What is the name of the place in which you live? In what county is it? In what state? In what country? In what part of the county is it? GRADED REVIEWS. 57 In what part of the state is the county? In what part of the country is the state? In what part of the continent is the country? In which world is the continent? What is the capital of our county? of our state? of our country? THE STATE. What state north of ours? east? south? west? Measure the map of our state. How many inches long is it from north to south? How many miles does an inch represent on our map? Then how many miles long is the state? how many miles wide? In what direction does the northern boundary extend? the eastern? the southern? the western? STATE GOVERNMENT. Who is the highest officer in a state? Who is Governor now? For how long is he elected? Where is his office? What is the capital of a state? What is the state capitol? Who makes the laws? How many departments are there? How is a law made? For how long is a senator elected? an assemblyman? How many members in the senate? in the assembly? Name a senator you have heard about. An assembly- man. THE WOELD. What does this globe represent? Why is it this shape? What do different colors on the globe represent? Of what is the surface of the earth composed? Which covers most of the surface, land or water? How much more of one than the other? On which division of land do we live? How does it compare in shape with the continent south of it? 58 GRADED REVIEWS. Find how many miles long and wide it is. Which is the larger, North or South America? Which has the more regular coast line ? most mountains? rivers? countries? Why is the name New World given to North and South America with their islands? Name the continents of the Old World. Which one most nearly resembles in shape the continents of the New World? Which has the greatest number of islands? Where are the greatest number of islands in the New World? What ocean in the Old World is not connected with the New World? What is a hemisphere? What is the eastern hemisphere? Bound North America. NOETH AMERICA. Which coast of North America is most irregular? What causes the irregularity of the northern coast? of the eastern coast? In what part are the most mounta Where are the low lands? What large river flows through the central plain? What system has a chain of great lakes? Is North America longer from east to west or from north to south? At what point is it narrowest? widest? If the ocean were to overflow it, which part would be covered last? why? Which political division of North America is farthest north? south? Into what body of water do the rivers of the Central Plain finally flow? why? Why is North America not an island? What part of the continent has the warmest climate? Which river is of the greatest commercial importance, and why? GRADED REVIEWS. 59 Which portion of the continent is most thickly inhabited, and why? Name five of the principal rivers that with their tributa- ries drain North America. Give the general direction of each. Locate an important harbor on the western coast of the continent. What part of the continent has the best natural advan- tages for manufacturing? for agriculture? for commerce? Why are Mexico and West Indies called tropical coun- tries? Where are the most precious minerals of North America obtained? What can you say of the general surface of the conti- nent? Name the most northern, southern, eastern, western cape of North America. Name two peninsulas of North America which point tow- ard the north. Two that point toward the south. Describe the Pacific Highland. Atlantic Highland. Cen- tral Plain. How much longer is North America than South America? Why are there more people in the eastern part of North America than the western? Give three reasons for the southern part of North America having a more luxuriant vegetation than the northern part? In what part of North America is the most manufactur- ing carried on? Why is there more here than in the other parts? Why is the population of North America so large? What was the last part of North American territory pur- chased by the United States? How do the rivers of North America differ from those of South America? Why are the coast regions of the United States more healthful than those of Mexico? What parts of North America belong to foreign nations? What river of North America is celebrated for its islands? 60 GRADED REVIEWS. If this river were to dry up what would these islands be- come ? (Mountains . ) To what natural influence does Chicago owe its impor- tance? Why is New York such a noted city? Where are the volcanoes of North America located? Compare the vegetation of North America with that of South America. How does % the surface of North America compare with that of South America? Why is not the northern part of British America more cultivated? Of what use to the United States is Alaska? Why is it not colonized like the other parts of the United States? Which coast of North America is the most even? Why are there so few large cities on the Pacific Coast? Why does the climate of California differ so much from the Atlantic states of the same latitude? Which is higher, the Eocky Mountains or the Alle- ghany? About how much higher? What country of North America supplies England with cotton? What oceans surround North America? In what direction do the Eocky Mountains extend ? Where are they the highest? Name the great tributaries of the Mississippi Eiver. Which is higher, Lake Erie or Lake Ontario? (Erie.) What is the outlet of the Great Lakes? Into what does it flow? What large river of North America enters the Arctic Ocean? Where is Hudson Bay? Name three large lakes of British America. Where is the Height of Land? What country occupies all the northern part of North America excepting Alaska? What are the boundaries of British America? What is the southern part of British America called? Bound the United States. Mexico. Yucatan. Central America. GRADED REVIEWS. 61 SOUTH AMERICA. What continent South of North America? What natural division is it? Why? Which has the greatest number of countries, North Amer- ica or South America? What mountain system of North America extends through South America? By what name are these mountains known in South America? Which are higher, the Rocky Mountains or the Andes? Are there any long rivers on the western coast of South America? Why? Name ten things in which North America and South America are nearly alike. Name ten things in which North America and South America differ. Name the river systems of South America. With what system of North America does each com- pare? Give the most northern capes of each of these two con- tinents: North America and South America. Eastern. Southern. Western. Which has the fewer mountains? Name the largest city of each continent. River. Lake. Through what countries does the Equator pass? What is the climate of the northern part of South Amer- ica? the southern? Name three contrasts of these two continents. (The northern part of one is cold, the southern part of one is Vrite a letter and send it to your teacher through the post-office. SECOND TERM. Write the names of the months. Of the days of the week. Four proper names. Four common names. Of to-day. Of this month. Name a material, thing, place, person, part. Write all the proper name-words in one column and the common name-words in another column, that are found in these statements : The boy bought the nuts in the city of Newark from a man named John White. George White will go to New York with his sister to see the animals in the park. Name the parts of the following : a book, a chair, a table, a hat, a coat, a watch, a piano. THIRD TERM. Repeat the alphabet and use an or a before each letter as follows : An a, a b, a c, an e, an f , a g, an h, etc. Write four words having, two vowels in each. Four hav- ing only one vowel in each. Use any of the following words to write a little story. Use only the words found in the list : GRADED REVIEWS. 83 good boy see in a sister can of little Ben go at large May run on small Frank play for green yard jump with nice grass will he old Rover are his young fun is she pretty and have they the but has her what dog too them Example : Ben is a good little boy. He has a pretty little sister. They will play on the green grass. May and Frank will play with them. Rover will play too. Rover is a large dog. He can run and jump. What fun they will have. FOURTH YEAR. FIRST TERM. Write a statement using the name of a person, a place, and a thing. Write a statement having a common and proper name. Write a statement using a name meaning more than one. Fill in the blanks : George a ball. Willie here to-day. The men a large drum. you going home. Correct : There is henry, w. h. brown is here. See where i live, it is a fine day. Write a word containing two vowels. One containing one vowel. One ending with a consonant. One ending with a vowel. One beginning with a consonant. One be ginning with a vowel. Note.— This will test their knowledge better than definition. 84 GRADED REVIEWS. Punctuate : A piano has legs keys wires and a sounding board. Write your name and address. Write five different words that mean more than one. Change the following words so as to mean more than one ; tree, church, copy, ox, valley. George may go to see the animals in the park. Change this to an inquiry. Write a direct question. Correct . did he go to baltimore Have you written to waiter, Are you eating a apple The rooms was full of people? I have a book slate pen and pencil in my desk John is that you Ask a question about a person, a thing. Write the name of this day. Of this month. Write the name-words of the same kind in a column. My sister and I will buy an orange of the old lady in Newark. Mr. White gave us the money. Rover will draw us to the store on a sled. Rover likes to draw May and me. SECOND TERM. Use the following words in an inquiry containing a word denoting possession : is, are, was, were, has, have. Write the quality- words in a column. Henry is now a good little boy. The young colt ran swiftly. The old rooster crowed loudly. The new buggy rides easily. The pure white snow falls softly. The bright sunshine lights the dark hills. The fierce dog growls fiercely. Tell whether one, two, or more than two would be spoken of, in using the following : tall, most, longer, oldest, better, GRADED REVIEWS. 85 little, easiest, rougher, smoother, ugliest, funny, wittiest, harder, tougher, careful, blunt. Tell five quality -words that would describe each of the following names : man, dog, horse, chair, dress. Write a command to a horse, a dog, a cat, a man, a boy, your sister, using a name, and punctuate correctly. At the top of your slate on the right side write the words Name- Words, and on the left side Action- Words, and as the following list is read place a mark under the column to which the words belong: House, run, jump, man, play, laugh, girl, book, sweep, singing, apple, pick, sew, strike, hurt, carpet, paper. Write each of these words in a sent- ence. THIRD TERM. See first term of fifth year. As you go home notice the signs on the stores, and write down three that you think are wrong. We will then write them on the b. b. and see what, if anything, is faulty. Is this right? Smith & Brown Dry Goods What is faulty in this? John. W. White. Cheap Cash Store. FIFTH YEAR. FIRST TERM. Dictation Exercise. George's ball is red and white. Is this bright, new knife yours? I like a hard, sour, juicy apple. Will you, Julia, visit me on Christmas day? That great, black dog's ears are long and silky. Mary, have you seen the two boys' new hats? 86 GRADED REVIEWS. The men's hats were all stolen. Are the two dogs' collars alike, Charles? Wheat, corn, cattle, sheep, and pigs are raised on the farms in the Central States. We study reading, writing, arithmetic, spelling, gram- mar, geography, drawing, and music. Chicago is a very large, busy, commercial city. Are the deer's horns larger than the oxen's? The lady's two thimbles were stolen from the boy's pocket. Tell whether the following are singular or plural, and write their opposites : wharf, news, thief, arch, gas, money, oxen, man, men, scissors, deer, valley, lady. Write the possessive, singular and plural, of each and put them in statements. SECOND TERM. In each of the following sentences tell how, when, or where the action was performed. The western cities grow rapidly. It is never too late to mend. To write nicely we must write slowly. Always speak the truth. Never do a wrong action. Be pleasant everywhere. Seldom fail in your lessons. Do all your work neatly. Obey all signals quickly. Never write carelessly. Make your figures plainly. Do your work quietly. Punctuate the following sentences: Hark I hear some •one coming Listen what is that Oh see a mouse a mouse Use the following in statements, first as names, then as action- words : cry, drink, walk. Fill out the following statements with one word telling where or when, after which fill with phrases telling where or when. He went . He struck the boy . Henry saw the birds . John will jump . They caught the £sh . GRADED REVIEWS. 87 THIRD TERM. Use correctly: sit, set, lie, lay, rise, raise, remembering that set, lay, and raise, must have objects or something to act upon. Fill in the following blanks: The coat nicely. down. The hen on eggs when we set them in the nest. Lay the blanket on the floor and I will down. Rise from your chair and see if you can the window. Tell nine different ways in which a word may be used. Tell three ways in which possession may be denoted. Write five words that show possession without the use of the apostrophe. SIXTH YEAR. FIRST TERM. Tell whether the following words are nouns, pronouns or verbs. (See note, seventh year, second term.) I you boy we he run girl go get play hit read stop jump see study wood lamp ( it are John Henry William Mary Use each one in a sentence. Correct. Can i come In. here henry take my hat. o how pretty all Boys love to play. Tell what the adverbs modify. George is a very good boy. Henry ran swiftly. Guy is very much better. All sweet apples are packed now. A pretty wooden stand is in the room. There is a noise somewhere. Tell the subject and predicate in the following : A noun is a name. Girls jump the rope. The boys play. I can walk. We are here. 88 GRADED REVIEWS. Diagram each of the following : The little old man is here now. The old gray horse ran swiftly. The very good man came yesterday. A perfectly innocent man was found guilty. There comes the beautiful ship. He is a fine boy. The apples are good. I am poor. Phrases. He lives in the city of New York. They are in the house of the president. The man from the city is in the house. The boy of good habits will do well in school. The store of Smith and Whits was burned to the ground. We saw the boys in the woods by the river. He lives in the house by the church. Compound Subject and Predicate. The boy and girl are working examples. Boys and men play ball. The boys run, jump, and sing. The girls came and went at once. SECOND TERM. Fill in objects, complements. I hit the . See the . They ran our . Send our here. Get me a . I will eat . For other sentences see second term of eighth year. Write all the sentences found in this verse in a column. All the nouns, pronouns, adjectives; all the subjects, predi- cates, phrases and adverbs. I have a gray parrot that is a very bright pupil. She can whistle and talk, laugh and cry, cough and sneeze. She can mew like a kitten, and bark like a dog. She loves to swing in her ring in the cage, and she can climb very quickly. She is always happy, though at times she cries sadly. She eats bread and nuts. Tell which words are used as objects and which are used as attributes. GRADED REVIEWS. THIRD TERM. Add infinitive phrases to the following : He desired . His hope was . His desire was right. His hope will be gratified. is to learn. It was his wish . He got the axe the wood. Diagram the following sentences : When will you go to see mother? I want to do well in grammar. Do you wish to work? I do wish to work. They are going to study now. George likes to study history. To be honest is noble. To lie is base. To work is honest. His power to talk was great. Her ambition to pass was commendable. I have found a pen to write well. He brought the horse to work on the road. We caught the fish to eat. He is the man to talk. That is the man to hear. I am the boy to run. This is a good book to read. This is the day to plant trees. I have something to say. To read good books is profitable. To swear is sinful. I came to see you. To bear our fate is to conquer it. I am surprised to see you. He attempted to speak. Dictate the following sentences, after which have the pu- pils write the participial phrases in a column : The man running in the street is my father. The boys playing in the yard are very happy. The girls writing on the board are sisters. We heard them laughing in the room. They saw them swimming in the lake. George found them rolling on the floor. That is father singing from the book. Thomas was the boy playing ball in the house. John and Mary were the children running on the grass. Diagram each of the above sentences. Find the noun modifiers in the following sentences: Henry's father lost William's book in the neighbor's yard. John's knife cut the boy's finger. The ladies' hats are all new. We will buy the men's boots. All the boys' hats were found in the man's house on the child's bed. 90 GRADED REVIEWS. What office does the noun boy perform in each of the fol- lowing sentences : The boy is here. (Subject.) He is the boy. (Attribute.) I saw the boy. (Object.) The boy's hat is lost. (Modifier.) Find the clauses in the following sentences and tell how they are used : That fire is hot, is known. I know that fire is hot. The fire which was hot burned me. I saw the fire that was hot. He burnt his finger in the fire that was hot. For other complete sentences see seventh and eighth years' work. SEVENTH YEAR. FIRST TERM. Tell the dependent clause in each sentence, how it is used and what it modifies, after writing them from dictation. 1. I saw Henry when he first came home. 2. There was much excitement when the stamp act was passed. 3. The monarch of England refused to assist Columbus when he applied for aid. 4. It was wrong for Hull to surrender Detroit, when his men were confident of victory. 5. Gen. Gates was successful when he fought against Burgoyne at Bemis Heights. 6. Ponce de Leon was an old man when he discovered Florida. 7. Cornwallis was glad to surrender when he saw no pros- pect of relief. 8. The French, who were fighting under Montcalm, capt- ured Oswego in 1756. 9. When Balboa discovered the Pacific Ocean, he called it the South Sea. GRADED REVIEWS. 91 10. Cartier, who was a Frenchman, discovered the St. Lawrence River. 11. The war between France and England continued until 1763, when a treaty of peace was signed at Paris. 12. Pontiac, who was the principal chief during the Pon- tiac war, was assassinated by an Indian. 13. We should multiply the length by the breadth when we want to find the surface. 14. George can see the difference between ten square feet and ten feet square, when he pays for the carpets. 15. An island is a body of land that is surrounded by water. 16. The battle of Yorktown, which was fought in 1781, closed the Revolution. 17. Jersey City v^as called Paulus Hook, when captured from the British in 1779. 18. The corn is planted in Egypt, when the Nile over- flows its banks. 19. The laws of New York are made in Albany, which is the capital of the state. 20. Washington went to Fort Le Bceuf, which was in Pennsylvania. 21. The Americans thought Parliament had no right to tax them. 22. It was in the Legislature of Virginia, where Patrick Henry distinguished himself. 23. Parliament passed the Boston Port Bill, which pro- hibited all intercourse with Boston by water. 24. Who said, "Don't give up the ship?" (Lawrence.) 25. Is he in the room that I carpeted? 2Q. Go and get the book that is on the desk. 27. Commodore Perry wrote: "We have met the enemy, and they are ours." 28. Who gained all the battles that were fought during the war with Mexico? 29. Name a battle fought in New Jersey that was gained by the Americans. (Princeton.) 30. Tell who were the commanders in the battle of Sara- toga. (Gates and Burgoyne.) 92 GRADED REVIEWS. . 31. The Black Hawk War occurred when Andrew Jackson was president. 32. Green was successful in the battle at Springfield, which is in New Jersey. 33. We caught the fish in the river that is full of islands. 34. The man was taken from the house that was burning. 35. Our house is on the street that was named for Jeffer- son. 36. Get the book from the desk that is in the sitting- room. 37. We found the eggs in a nest that we did not know was there before. 38. Bring me a book from the pile that is on the floor. What kind of pronouns are used in these sentences: Who is it that wants me? What has he that you want? To whom will you give the book? Is this the boy, who asked the question? What is who in this sentence? Let each one look out for his or her own hat. Give him some to eat. There were only a few there. This will do. Where did you get those? Tell the kind of adjectives found in the following: The American flag floats gracefully. The Irish vote has been taken. That is a rare plant. William is a tall boy. See the dense fog. We had a jolly time. Note.— As the teacher reads this list of verbs let the pupils listen and write, T. In. , or b. , according as to whether the verb is transitive, intransitive or both. After, have the pupils exchange slates as the teacher reads. Thus: the teacher reads found, the pupils mark T on slates. Teacher then reads went, pupils write In- Teacher reads sleep, the pupils write b. The teacher then reads down the list naming the kind, thus: transitive, intransitive, both transitive and intransitive; the pupils mark right or wrong as the case may be. In this way every pupil recites every word. know struck dictate said taught diet heard want dig went get desert walk see gain go droop gather found drop hint hunt confide insist thought befall make gallop behave mix GRADED REVIEWS. 93 Illustrate each in a sentence. Those that are b. to be used in two sentences illustrating the T. and In. More slate work to be marked as above. R. for regular, I. for irregular, B. for both R. or I. Be buy come burn threw add give love walk run sink talk laugh learn do eat fell meet use express take Use each in a sentence expressing past time. Teacher read this list of adverbs having pupils mark as above for place., D. for degree, 31. for manner. strike get kneel place reduce have connect T. for time, P Now when where first there fully otherwise so as how no yes well somewhat ill justly truly ever never always thirdly hence thence hardly then therefore surely seldom Use each in a compound sentence and tell what kind of conjunctions you have used in each. Use the plural of the following nouns in complex sentences: bug, lash, echo, city, valleys, half, fort, goose. SECOND TERM. The following are to be changed in gender, then used in a simple sentence : Jew, nephew, hero, actor, maid, sir, duke. In what case is I, ahcays used? me? he? him? they? she? her? them? (N. B. Use each one as a subject, an attribute, or object.) Use the possessive plural of the following in simple im- perative sentences ; man, wolf, fox, lady, thief. Correct : John and henry comes to our house every day. It was me you see there. Where was you when he done it? I can't never tell when he is joking. It don't make no differ- ence it is mine to do what I will with it. Between you and I, he starts to-morrow. I want he should go. Who did you give it to? Can I go please? You can if you may. Tell the mode and tense the verbs are in : I will go. You may see him. If I hear it. Can she sing? Get the apple. Hit the horse. I saw her. To see is to know. If I saw it I cannot recall the fact. I found the boy 94 GRADED REVIEWS. crying. You must come to-morrow. You can go, if you only will go. Would you do it? If they see me, they will have gone by that time. Come here at once. Write a letter to your teacher and send it to her through the post-office. THIRD TERM. Write a story about this picture (Teacher show class a picture). For other hints use second and third term of eighth year. EIGHTH YEAR.. FIRST TERM. Correct : It is me. If I was him. That is her. This is hern. Who did you say? Whom is it? It was them who said it. Write a sentence containing a regular verb in the past tense. Present tense. Future tense. How can you tell when a verb is in the potential mood? You may tell me in this sentence. What verbs have no person and number? Why have they not? (They have no subject.) Write a sentence containing a verb in the infinitive mood. Is there an infinitive in this sentence, if so, which is it? To write an infinitive, one must think. What verbs are always in the present tense? The second person? Why? Write a command. Write, Dogs run. Make a command of it. What is the subject of this sen. tence : John, get me a hat. Why is not John the subject ? What is always the subject of an imperative sentence? Correct : She looked splendidly. Why is it faulty? Cor- rect : She walked splendid. Write the plural of the following nouns: ox, cow, hero, valley, daisy, beef, man, goose and knife. (Use each in a sentence.) GRADED REVIEWS. 95 Fill in objects. I found the . I saw a . Get me a . We heard a . William found his Write an imperative sentence containing an object. A declarative. An interrogative. Correct: The chair's legs are broken. Why is it faulty? (Because the possessive sign should be confined chiefly to names of persons and animals.) Correct: Him and I are going. Her and me will go. Between you and I. There were only him and me in the room. Add participles to the following : We heard the man a song. They found her a letter. George caught them — some candy. Write a complex sentence beginning with when. One be- ginning with who. One with which. Parse the nouns and pronouns in these sentences : Give us this o"ay our daily bread. God is love. Hand me the book. It is I, your son. I know what it was. Come here to me, Henry. Write a letter to your teacher and send it to her through the post-office. SECOND TERM. Write a sentence having the dependent clause used to modify the subject. One to modify the object. One used as an adjective. One as an adverb. One as a noun. One used as the subject. One as the object. One as the attri- bute. One used to m >dify the principal word in a preposi- tional phrase. Principal word in a participial phrase. One to modify the object of an infinitive verb. Add dependent clause to the following and tell how used : I heard . He wished . We know . John remembers . They said . All understand . William thought . We have learned 96 GRADED REVIEWS. Add dependent clauses to the following and tell how each is used : He wished to read the book . Henry desired to see the man . I was anxious to know the lady . Add dependent clauses to the following and tell how each is used : We saw the book in the room . He lives in the city . I heard of the man . Mary was engaged writing the letter . John was singing the song . Correct : I caught the lish sitting 'on the fence. The man brushed a fly from his nose running down the street. Thomas saw the steam-boat running on the island. We saw the old hen swimming in the river eating corn. The ladies saw the dog dancing on the street. Write one sentence containing all the parts of speech. One containing three different kinds of pronouns. Tell what parts of speech are in the following sentences : When I went home, I heard an old man and woman in the house, exclaiming, alas ! alas ! Name the pronouns in the following and tell what kind they are: Who is the man that says I cannot read? Write sentences, using laughing first as a noun, second as an adjective, third as a participle. Tell how dancing is used in each of the following: The dancing was continued till ten o'clock. We saw the ladies dancing in the room. They had a dancing bear in the show. The ladies dancing felt the cool air coming in the window. Write a compound sentence having the second clause complex. Give the analysis to the following sentences : War has ceased, and peace, which has long been looked for, has come. God is love, and they who love Him will do his will. They walked into the house as I walked out. (N. B. The meaning of this sentence is, They walked into the house ivhen I walked out; it is therefore a complex sentence.) GRADED REVIEWS. 97 Write six sentences and have the same noun perform a dif- ferent office in each. What office does the noun John perform in each of the following sentences: John is a good boy. We saw John. That boy is John. John's hat is here. My friend John comes to-day. John, come here. Write a sentence containing a phrase used as a noun. As an adverb. As an adjective. As an object. As a subject. As an attribute. How are the phrases used in the following sentences : His hope is to pass from his class. To study is to learn. He wished to go home. His wish to go was granted. George went into the house. Write a sentence with the subject, predicate and object, each modified by a phrase. Analyze : The boy of good mind saw the man of learning in the study. Write a sentence in which the clauses are connected by conjunctions. One connected by an adverb. One by a pro- noun. What kind of connecting word in each of the following sentences : George went home but Mary remained here. I will start when the rain stops. This is the dog that bit me. I will try to do as my father tells me. THIRD TERM. Find the clauses in the following verse, write them in a column, tell what kind they are and what office they per- form. Make eight columns and head them with the names of the different parts of speech and in each column write the parts of speech found in the verse. Find all the phrases and write them in a column, and tell how they are used. Write the sentences in a column and tell the kind of each : 1 ■ The Roman, therefore, who saw no joke in sitting round the table in the dark, went off to bed as the darkness began. 7 98 GRADED REVIEWS. Everybody did so. Old Numa Pompilius himself was obliged to trundle off in the dusk. Tarquinius might be a very superb fellow, but we doubt whether he ever saw a farthing rushlight; and, though it may be thought that plots and conspiracies would nourish in such a city of dark- ness, it is to be considered that the conspirators themselves had no more candles than honest men. Both parties were in the dark. 1 ' Note.— In ancient times people had no candles or lights. A farthing rushlight was dried rushes used as wicks. De Quincey thinks that Tarquinius had never seen them even. They then went to bed because they had to go.— {Taken from Thomas De Qxiincey's ivritings.) Have the pupils write a letter to you and send it through the post-office. Complex Sentences from History. 1. Sir George Calvert, whose title was Lord Baltimore, applied for a charter to establish a colony in America. 2. The English king claimed the land that the Cabots dis- covered. 3. That Washington was the first president is a historical fact. 4. When Pocahontas was married there was peace with Powatan. 5. Bacon died while Berkeley was governor of Virginia. 6. De Soto was sunk in the waters of the Mississippi, which he had discovered. 7. Columbus believed that the earth was round. 8. The Dutch laid their claim upon the discoveries which had been made by Henry Hudson. 9. Henry Hudson, who sailed in the interest of the Dutch East India Company, discovered the Hudson River. 10. Pocahontas accompanied her husband to England, where she was an object of interest to all classes of citizens. 11. Ponce De Leon discovered Florida in 1513, when he was searching for a fountain. 12. That Virginia was settled in 1607 is a well-known fact. 13. Spain, which was unwilling that the settlement on the St. John's should exist, sent Melendez to destroy it. GRADED REVIEWS. 99 14. Wingfield, who embezzled the public stores, was suc- ceeded by Ratcliffe. 15. Amherst reached Ticonderoga when the French abandoned it. 16. Smith went where the Indians captured him. 17. We know that Cortez conquered Mexico. 18. Our country was at war when Lincoln was president. 19. It is said that Gosnold discovered Cape Cod. 20. America is the continent that was discovered by John Cabot. 21. Raleigh's body was motionless when the executioner cut off his head. 22. The territory, which the English claimed, extended from the thirty-fourth to the forty-fifth degrees of north lat- itude. 23. Roger Williams, who had been banished from Mas- sachusetts, settled Rhode Island. 24. History says, Pring explored the coast of New Eng- land. 25. We know that Cordova explored the northern coast of Yucatan. Complex Sentences from Geography. 1. Chicago, which is a great grain centre, is in Illinois. 2. Ireland, which is an island in Europe, is noted for its fertility. 3. Great Salt Lake, which is in Utah Territory, is the largest salt lake on the globe. 4. Boston, which is a capital city, is in Massachusetts. 5. The Blue Mountains, which extend north-east and south-west, are in the eastern part of the United States. 6. The Amazon, which is in South America, is the largest river in the world. 7. We know that the St. Lawrence River is the outlet of the Great Lakes. 8. The Mississippi River, which has many tributaries, is in the United States. 9. That Cuba is an island is a well-known fact. 100 GRADED REVIEWS. 10. We found the map of Europe, which contains the largest cities in the world. 11. Did you ever see Australia, which is south-east of Asia? 12. I have seen the Red River which is in Minnesota. 13. Florida, which is in the south-eastern part of the United States, is a peninsula, 14. A passage of water, which connects two bodies of water, is called a strait. 15. A part of the ocean, that enters into the land, is called a sea, gulf or bay. 16. Oil is found in Pennsylvania, which is one of the Middle Atlantic States. 17. British America is the name of the country which is north of ours. 18. Kentucky, which borders on the Ohio River, raises large quantities of tobacco. 19. The globe shows that the earth is round. 20. Geography does not say, that north means up-hill. 21. We found that the Rocky Mountains are in the west- ern part of the United States. 22. An outlet river is one which lets the water out of a lake. 23. An inlet river is one that lets the water into the lake. 21. The pine-apple, which is a native of Brazil, is much prized by the Americans. 25. Geography is the study that tells about the earth. Complex Sentences from Arithmetic. 1. When you multiply the cost by the rate, you find the gain. 2. We divide the percentage by the base, when we want to find the rate. 3. When money, containing the commission and amount to be invested, is sent to an agent, it is always the amount. 4. We divide the percentage, which is the amount gained, by the base to find the rate. 5. You get the percentage, when you multiply the base by the rate. GRADED REVIEWS. 101 6. When you have the amount and rate, you must divide the amount by one plus the rate to find the base. 7. Addition is used, when the sum of two or more num- bers is wanted. 8. He worked by multiplication, which is a short method of working addition. 9. A floor, which is ten feet square, contains how many square feet? 10. A floor, which is ten feet square, contains one hun- dred square feet. 11. A floor which contains nine square feet, can be cov- ered with one square yard. 12. A floor, which contains nine feet square can be cov- ered with nine square yards. 13. Legal interest is the rate per cent, which is fixed by law. 14. The interest on one dollar at six per cent, is six cents, when it is loaned for one year. Compound Sentences from History. 1. Gates commanded the Americans at Saratoga, and he- defeated Burgoyne at that time. 2. At the battle of Springfield in New Jersey, Green com- manded the Americans, and Knyphausen commanded the British. 3. In the war with Mexico, Taylor gained four battles, and Scott gained five battles. 4. President Taylor died in 1850, and Fillmore was inaug- urated president the same year. 5. Columbus discovered America, but the continent was named for Amerigo Vespucci. 6. Cordova discovered Mexico, but Cortez conquered it. 7. During the second war with England the Americans gained fourteen of the land battles, and the British gained six of them . 8. Washington was the first president of the United States, and he was elected for two terms. 9. The civil war began during Buchanan's administration,, but it ended during Lincoln's second term. 102 GRADED REVIEWS. 10. The Senate is composed of two senators from each state, and each senator has one vote. 11. The vice-president of the United States is president of the Senate, but he has no vote unless there is a tie. 12. A representative must be twenty -five years old ; and he must live in the state from which he is chosen. 13. The president must be thirty-five years old, and he must be a natural-born citizen of the United States. 14. The president is elected for four years, but he may be re-elected. 15. Two presidents have died in office, and two have been assassinated. Dictate the following : •cJky ^f&eu dfiUend: OF THE PUBLICATIONS OF -A.- X-.OTTIEILjILi