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m: 
 
 AUT 
 
 I 
 
New Revised Edition, 
 
 JUVENILE 
 
 MENTAL ARITHMETIC; 
 
 AN INTRODUCTION TO THE 
 
 "AMERICAN INTELLECTUAL ARITHMETIC." 
 
 BY JOHN F. STODDARD, A.M., 
 
 AUTHOE OF THE " NORMAL MATHEMATICAL SERIES," ETC. 
 
 TOEONTO: 
 
 PUBLISHED BY ADAM MILLER 
 
 1869. 
 
STEr.EOTYPED BY 
 THE GLOBE POINTING COMPANY, 
 TOEOKTO. * 
 
PREFACE. 
 
 The foundation for- a thorough education is laid in 
 youth. The habits of thought and modes of reasoning 
 then acquired will exert an influence favoralde or un- 
 favorable to intellectual development in after j'ears. 
 It is hoped that this little book, in its s('ope and 
 arrangement, and in the discussion of the subjects of 
 which it treats, is adapted to the capacity of j'ouug 
 pupils ; and that by proper instruction acid ctireful 
 study, it will produce the desired effect i!poii the 
 mind, and afford the information it is designed to 
 impart. 
 
 Addition, Subtraction, Multiplication, Division, the 
 
 Tables of Weights and Measures, and the elcmeutaiy 
 parts of Common Fractions have been introduced and 
 
 illustrated by appropriate exami)le&. 
 
SUGGESTIONS TO TEACHERS. 
 
 For the benefit of those whose experience is limited, I 
 make the following suggestions in regard to the most 
 approTect methods of teaching this important branch of 
 study : 
 
 The lesson should be assigned previous to recitation, to 
 afford the pupils an opportunity for its examination : the 
 use of the book, by the pupil, during class exercise, should 
 be iJrohibited. 
 
 A question should be read slowly and distinctly, and 
 the i)upil required to repeat and analyse it without inter- 
 ruption, unless it be to make a necessary criticism or cor- 
 rection. 
 
 The pupils should not be called upon promiscuously and 
 not ill rotation, to take part in the recitation. 
 
 Care should be taken that the language they use be 
 strictly correct as to construction and articulation. 
 
 If not carefully guarded, joupils, in their hurried solu- 
 tions, pronounce many simple words incorrectly. For 
 instance, the words— a?i(?, of, if, for, ivith, what, which, 
 ivhere, when, costs, quarts, &c,, are not unfrequently pro- 
 nounced — an, off, ef, fur, withe, wat, witch, ware, wen, coss, 
 quats, &c. 
 
 By careful attention to these particulars, a lesson in 
 Mental Arithmetic is a practical lesson in elocution, gram- 
 mar, rhetoric and logic, as well as a lesson in the science 
 of numbers. 
 
 It is respectfully suggested that the particular forms 
 given for the analysis of questions be adhered to, unless 
 better ones should be devised by the teacher. J. F. S, 
 
 • Those wishing to becoms thoroughly acquainted with Fractions and 
 arithmetical questions of almost every kind, are referred to Stoddard's 
 "American Intellectual Arithmetic." 
 
 I 
 1 \ 
 
mm 
 
 ARITHMETIC. 
 
 A number expresses how many. 
 Numbers are expressed in three ways : 
 
 1. By words ; as one, two, three, four, &c. 
 
 2. By figures ; as 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0. 
 
 3. By letters; as, I, V, X, L, C, D, and M. 
 
 The method of expressing numbers by figures 
 is called the Arabic Method. 
 
 The method of expressing numbers by letters 
 is called the Koman Method. 
 
 Count the number of stars in each row, also,, 
 the number in each column, and express the 
 number in each by the different methods: 
 
 One. 
 
 Two. 
 
 Three. 
 
 Four. 
 
 Five. 
 
 Six. 
 
 Seven. 
 Eight. 
 Nine. 
 Ten. * 
 
 * 
 
 * 
 
 * 
 
 •X- 
 
 * 
 
 * 
 * 
 * 
 
 * 
 
 * 
 
 * * 
 
 * 
 
 * 
 
 * 
 
 * 
 
 * 
 * 
 
 * 
 
 * 
 
 * 
 * 
 * 
 
 * 
 * 
 
 1. 
 
 2. 
 3. 
 4. 
 5. 
 6. 
 7. 
 8. 
 9. 
 
 I, II, III, IV, V, VI, VII, VIII, IX, X. 
 
 1 '2. 3. 
 
 4. 5, 6. 
 
 8. 
 
 9, 10. 
 
MENTAL ARITHMETIC. 
 
 H 
 
 
 ARABIC AND ROMAN NUMBERS. 
 
 The Arabic and Eoman Methods of expressing 
 numbers are as follows: 
 
 »5 
 
 '^ h B3 >4 
 
 
 
 1 I 
 
 2 II 
 
 3 III 
 
 4 IV 
 6 V 
 
 6 VI 
 
 7 VII 
 
 8 VIII 
 
 9 IX 
 
 10 X 
 
 11 XI 
 
 12 XII 
 
 13 XIII 
 U XIV 
 
 15 XV 
 
 16 XVI 
 
 17 XVII 
 
 18 XVIII 
 
 19 XIX 
 
 NUMBERS. 
 
 Naught. 
 
 One. 
 
 Two. 
 
 Three. 
 
 Four. 
 
 Five. 
 
 Six. 
 
 Seven. 
 
 Eight. 
 
 Nine. 
 
 Ten. 
 
 Eleven. 
 
 Twelve. 
 
 Thirteen. 
 
 Fourteen. 
 
 Fifteen. 
 
 Sixteen. 
 
 Seventeen. 
 
 Eighteen. 
 
 Nineteen. 
 
 gs 
 < ft 
 20 
 
 21 
 22 
 23 
 24 
 25 
 25 
 27 
 28 
 29 
 30 
 40 
 50 
 CO 
 70 
 80 
 90 
 100 
 500 
 1000 
 
 fr PS 
 O u 
 
 NtTMBBRS. 
 
 XX Twenty. 
 
 XXI Twenty-one. 
 
 XXII Twenty-two! 
 
 XXIII Twenty-three, 
 
 XXIV Twenty-four. 
 
 XXV Twenty-five. 
 
 XXVI Twenty-six. 
 
 XXVII Twenty-seven. 
 
 XXVIII Twenty-eight. 
 
 XXIX Twenty-nine. 
 
 XXX Thirty 
 XL Forty. 
 L Fifty.' 
 LX Sixty. 
 LXX Seventy. 
 LXXX Eighty. 
 XC Ninety. 
 
 C One Hundred. 
 
 T> Five Hundred. 
 
 ^I ' One Thousand. 
 
ADDITION. 
 
 Lesson I, 
 
 1. How many are 2 
 Analysis. — Two and one are 3. 
 
 2. How many are 2 
 
 3. How many are 2 
 
 4. How many are 2 
 
 5. How many are 2 
 • 6. How many are 2 
 
 7. How many are 2 
 
 8. How many are 2 
 
 9. How many are 2 
 10. How many are 2 
 
 2 and 2 are how 
 
 and 1 ? 
 
 11. 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 18. 
 19. 
 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 
 2? 
 3 ? 
 4? 
 
 5 ? 
 
 6 ? 
 7? 
 8 ? 
 9? 
 
 2 
 2 
 2 
 2 
 5 
 2 
 2 
 2 
 
 and 5 are liow 
 
 and 9 are how 
 
 and 8 are how 
 
 and 6 are how 
 
 3 
 
 are how 
 
 are how 
 
 7 are how 
 
 and 10 are how 
 
 and 
 and 
 and 
 
 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 Lesson II. 
 
 1, Henry had 4 apples, and bought 2 more ; 
 how many did he then have ? 
 
 Analysis. — If Henry had 4 apples, and should _buy 2 
 more, he would then have 4 apples and 2 apples, which are 
 6 apples. 
 
8 
 
 ADDITION. 
 
 
 2. Harvey had 5 books, and James had 2 ; how 
 many books did both liave ? 
 
 3. Mary has 3 peaches, and John gave her 2 
 more ; how many peaches did she then have ? 
 
 4. Moses had 2 cents, and his father gave him 
 8 more ; how many cents did lie tlien have ? 
 
 5. Edwin had 10 marbles, and found two more ; 
 how many marbles did he then have ? 
 
 6. Catharine had G pinks, and Mary gave her 2 
 more ; iiow many had Catharine then ? 
 
 7. Alice found 9 pins, and her mother gave her 
 2 more ; how many did Alice then have ? 
 
 8. Francis spelled 7 words coiTectly and 2 
 incorrectly ; how manv words were given to 
 him ? 
 
 
 
 Lesson ill. 
 
 • 
 
 ]. 
 
 How 
 
 many 
 
 are 
 
 3 
 
 and 1 ? 
 
 i 
 
 How 
 
 many 
 
 are 
 
 3 
 
 and 2 ? 
 
 3. 
 
 How 
 
 many 
 
 are 
 
 o 
 O 
 
 and 3 ? 
 
 4 
 
 How 
 
 many 
 
 are 
 
 o 
 O 
 
 and 4 ? 
 
 >. 
 
 How 
 
 many 
 
 are 
 
 3 
 
 and 5 ? 
 
 ?. 
 
 How 
 
 many 
 
 are 
 
 
 and 6 ? 
 
 7. 
 
 How 
 
 many 
 
 are 
 
 
 and 7 ? 
 
 8. 
 
 How 
 
 many 
 
 are 
 
 3 
 
 and 8 ? 
 
 9. 
 
 How 
 
 many 
 
 are 
 
 3 
 
 and 9 ? 
 
 10. 
 
 How 
 
 many 
 
 • are 
 
 o 
 
 and 10 ? 
 
 11. 
 
 4 and 3 
 
 are 
 
 how 
 
 many ? 
 
 12. 
 
 3 and 3- 
 
 are 
 
 how 
 
 many ? 
 
 13. 
 
 2 and 3 
 
 are 
 
 how 
 
 many ? 
 
 14. 
 
 and 3 
 
 are 
 
 how 
 
 many ? 
 
 I i 
 
ADD.r/ON. 
 
 9 
 
 15. 
 16. 
 17. 
 
 ■•s. 
 
 19. 
 
 8 and 3 are how many ? 
 
 3 and 10 ore how many ? 
 
 3 and 7 are how many ? 
 
 5 and 3 are liow many ? 
 
 11 and 3 are how many ? 
 
 Lesson IV. 
 
 1. If a ball cost 6 cents, and a top cost 3 cents, 
 
 how much will both cost ? 
 
 Analysis. — If n ball cost G cents, (xdu a top cost 3 
 cents, l)oth will cost the sum of 6 cents and 3 cents, which 
 is 9 cents. 
 
 2. A boy paid 3 cents for a cake, and 2 cents for 
 an orange ; how much did he pay for both ? 
 
 3. Emily bought a melon for 10 cents, and a 
 lemon for 3 cents ; what did she give for both ? 
 
 4. There were 9 boys on one bench, and 3 on 
 'another; liow many boys were on both ? 
 
 5. Harriet had 8 sweet apples and 3 sour ones ; 
 how many apples had she in all ? 
 
 6. Kozekiah shot 5 red squirrels and 3 gray 
 ones ; how many squirrels did he shoot in all ? 
 
 7. Darius had 3 books, and his father gave him 
 3 more ; how many books had he then ? 
 
 8. Fanny had G plums, and her sister gave her 
 3 more ; how many plums had she then ? 
 
 9. Betsy gave 7 cents for tape, and 3 cents for 
 thread ; what did she pay for both ? 
 
 10. Thedagave 11 cents for.a comb, and 3 cents 
 for some hair pins ; how many cents did she pay 
 for all? 
 
I 
 
 10 
 
 ADDITION. 
 
 : ( t -i 
 
 m 
 
 1. 
 
 2. 
 3. 
 
 4. 
 5. 
 6. 
 7. 
 8. 
 9. 
 10. 
 
 11. 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 
 How many- 
 How many 
 How many- 
 How many- 
 How many- 
 How many 
 •How many 
 How many 
 How many 
 How many 
 
 4 and 3 
 
 4 and 6 
 
 2 and 4 
 
 4 and 4 
 
 7 and 4 
 
 4 and 8 
 
 5 and 4 
 10 and 4 
 
 9 and 4 
 4 and 11 
 
 are 4 
 
 are 4 
 
 are 4 
 
 are 4 
 
 are 4 
 
 ;.re 4 
 
 are 4 
 
 are 4 
 
 are 4 
 
 are 4 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 
 1 ? 
 
 2 " 
 s: ? 
 4? 
 
 5 ? 
 
 6 ? 
 7? 
 8 ? 
 9? 
 
 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many .? 
 
 !?f 
 
 Lesson VI. 
 
 1. Sarah had 4 rings on one finger, and 3 on 
 another ; how many had she on both fingers ? 
 
 2. Walter has 9 chickens, and William 4 ; how 
 manv have both ? 
 
 It' 
 
 3. Bought a penci*! for 6 cents, and a i3iece of 
 rubber for 4 cents ; what did I pay for both ? 
 
 
ADDITION. 
 
 11 
 
 4. Bought a bottle of ink for 10 cents, and a pen 
 for 4 cents ; what was the cost of both ? 
 
 5. If a lemon cost 4 cents, and a peach cost 2 
 cents ; what was the cost of both ? 
 
 6. Gave 4 dollars for a hat, and 4 dollars for a 
 vest ; what was the cost of both ? 
 
 7. Jane gave 7 cents for raisins, and 4 cents for 
 cinnamon ; what did she pay for all ? 
 
 8. If a Avriting-book cost 5 cents, and a box of 
 pens cost 4 cents, what did all cost ? 
 
 9. After a cat caught four of Nancy's chickens, 
 she had but 11 left; how many had she at 
 first ? 
 
 10. A boy, after losing 4 marbles, had only 12 
 remaining ; how many had he at first ? 
 
 Lesson VII 
 
 1. 
 
 How 
 
 many 
 
 are 
 
 2. 
 
 How 
 
 ma :y 
 
 are 
 
 3. 
 
 How 
 
 many 
 
 are 
 
 4. 
 
 How 
 
 many 
 
 are 
 
 0. 
 
 How 
 
 many 
 
 are 
 
 6. 
 
 How- 
 
 many 
 
 are 
 
 7. 
 
 How 
 
 many 
 
 are 
 
 8. 
 
 How 
 
 many 
 
 are 
 
 9. 
 
 How 
 
 many 
 
 are 
 
 10. 
 
 How 
 
 many 
 
 are 
 
 11. 
 
 3 and 5 ; 
 
 iire 
 
 12. 
 
 2 and 5 j 
 
 ire 
 
 13. 
 
 6 and 5 j 
 
 ire 
 
 5 
 
 5 
 
 5 
 5 
 5 
 5 
 5 
 5 
 
 FT 
 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 
 1 ? 
 
 2 ? 
 
 3 ? 
 4? 
 
 5 ? 
 
 6 ? 
 7? 
 
 8 ? 
 
 9 ? 
 
 licw 
 how 
 hcAv 
 
 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 
I 
 
 12 
 
 ^^a 
 
 ■■;ft 
 
 ADDITION. 
 
 14. 
 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 
 5 
 
 and 
 and 
 7 and 
 9 and 
 5 and 
 
 10 and 
 
 11 and 
 
 4 
 5 
 5 
 5 
 8 
 5 
 5 
 
 how many ? 
 
 how many ? 
 
 how many ? 
 
 how many ? 
 
 ctrtj how many ? 
 
 are how many ? 
 
 are liow^ many ? 
 
 are 
 are 
 are 
 are 
 are 
 
 Lesson VIII. 
 
 1. If Charles walk 4 miles in one day, and 5 
 miles in another, how far does he walk in the two 
 days? 
 
 2. If Eebecca has 5 roses, and Mary gives her 
 3 more, how many will she have then ? 
 
 3. If Joshua has 5 cakes, and Jane gives him 2 
 more, how many will he tlien have ? 
 
 4. Thomas gave 8 apples to his companions, 
 and had 5 remaining; how many had he at 
 first ? 
 
 5 Gave 5 dollars for a pair of pantaloons, and 
 ^ 6 dollars for a hat ; what did both cost ? 
 ^ 6. Andrew caught 9 birds, and Anthony 5- 
 how many did both catch ? . "^ ' 
 
 7. Baldwin, after spending 5 cents, had only 
 7 cents remaining ; how many had he at first ? 
 
 8. Martha bought a ribbon for 10 cents, and 
 thread for 5 cents; what was tho cost of 
 both ? 
 
 9. Caroline had 5 flowers, and Clarinda had 5 • 
 how many did both have ? ' 
 
ADDITION. 
 
 13 
 
 10. Bought a book for 11 cents, and liad 5 cents 
 remaining ; how much had I at first ? 
 
 
 1 
 
 
 
 Lesson IX. 
 
 
 
 8 1. 
 
 How 
 
 nrany 
 
 are 
 
 6 
 
 and 1 ? 
 
 
 m 2.' 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 2 ? 
 
 
 m 3. ' 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 3 ? 
 
 
 ■ ^' 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 4? 
 
 
 ■ 5. 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 5 ? 
 
 
 9 6. 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 6 ? 
 
 1 B0 
 
 H 7. 
 
 How 
 
 many 
 
 are 
 
 7 
 
 and 6 ? 
 
 , and 
 
 1 1 J 
 
 S 3^ 
 
 How 
 
 many 
 
 are 
 
 8 
 
 and 6 ? 
 
 the two 
 
 m ^' 
 
 How 
 
 many 
 
 are 
 
 9 
 
 and 6 ? 
 
 ves her 
 
 ■ 10. 
 
 How 
 
 many 
 
 are 
 
 6 
 
 and 10 ? 
 
 
 1 11. 
 
 3 
 
 and C 
 
 are 
 
 how 
 
 many ? 
 
 him 2 
 
 1 -^^' 
 
 6 
 
 and 4 
 
 are 
 
 how 
 
 many ? 
 
 
 1 13. 
 
 6 
 
 and 8 
 
 are 
 
 how 
 
 many ? 
 
 )anions, 
 
 I -'^^' 
 
 6 
 
 and 2 
 
 are 
 
 how 
 
 many ? 
 
 he at 
 
 ■ 15. 
 
 6 
 
 and 5 
 
 are 
 
 how 
 
 many ? 
 
 
 H 16. 
 
 7 
 
 and 6 
 
 are 
 
 how 
 
 many ? 
 
 ns, and 
 
 1 -^^' 
 
 9 
 
 and G 
 
 are 
 
 how 
 
 many ? 
 
 
 ■ 1^- 
 
 10 
 
 and 6 
 
 are 
 
 how 
 
 many ? 
 
 Dny 5; 
 
 1 -'-^' 
 
 6 
 
 and 6 
 
 are 
 
 how 
 
 many ? 
 
 1 2^- 
 
 6 
 
 and 11 
 
 are 
 
 how 
 
 many ? 
 
 St? 
 
 ts, and 
 ;ost of 
 
 had 5 ; 
 
 Lesson X. 
 
 1. Augustus killed 6 birds, and John 2; how 
 many did both kill ? 
 
 2. Gave 5 cents to Franklin, and 6 cents to Fos- 
 ter ; how many cents did both receive ? 
 

 U 
 
 ADDITION. 
 
 'I 
 
 N 
 
 :Ut 
 
 S. Granville gave me 4 apples, and Mary gave 
 me 6 ; how many did both give me ? 
 
 4. A farmer having 6 cows, purchased 3 more - 
 how many had he then ? * 
 
 5. Jackson bought 8 papers, and found 6 more ; 
 how many had he then ? 
 
 6. Anna had 6 pictures, and her brother gave 
 her 6 more ; how many had she then ? 
 
 7. A farmer sold horses, and had 6 remaining? • 
 how many had he at first ? 
 
 8. A market-woman sold 6 oranges, and had 7 
 remaming ; how many had she at first ? 
 
 9. A boy sold 10 apples, and had 6 remaining : 
 now many had he at first ? 
 
 ^ 10. After losing 6 chestnuts I had 11 remain- 
 mg ; how many had I at first ? 
 
 1. 
 2. 
 3. 
 
 4. 
 5. 
 6. 
 7. 
 8. 
 9. 
 10. 
 
 11. 
 12. 
 13. 
 
 Lesson XI 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 How many are 7 
 
 7 and 4 are how 
 2 and 7 are how 
 7 and 5 are how 
 
 and 
 anci 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 
 1 ? 
 
 2 ? 
 3? 
 4? 
 
 5 ? 
 
 6 ? 
 
 7? 
 8 ? 
 9? 
 
 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 
 -♦* 
 
reuiam- 
 
 
 
 
 
 iDDITION. 
 
 
 14. 
 
 3 
 
 and 
 
 7 
 
 are 
 
 how. 
 
 many ? 
 
 15. 
 
 7 
 
 and 
 
 6 
 
 are 
 
 how 
 
 many ? 
 
 16. 
 
 7 
 
 and 
 
 9 
 
 are 
 
 how 
 
 many ? 
 
 17. 
 
 7 
 
 and 
 
 7 
 
 are 
 
 how 
 
 many ? 
 
 18. 
 
 10 
 
 and 
 
 
 are 
 
 how 
 
 many ? 
 
 19. 
 
 8 
 
 and 
 
 7 
 
 are 
 
 how 
 
 many ? 
 
 20. 
 
 7 
 
 and 
 
 11 
 
 are 
 
 how 
 
 many ? 
 
 15 
 
 Lesson XII. 
 
 1. A merchant bought 4 barrels of sugar, and 7 
 barrels of molasses ; how many barrels did he then 
 
 have ? 
 
 2. Albert is 7 years old, and Austin is 6 ; what 
 
 is the sum of their ages ? - 
 
 3. Alfred solved 8 questions in arithmetic, and 
 Abraham 7 ; how many did both solve ? 
 
 4. If it take 7 yards of calico for a dress, and 
 2 yards of cloth for a cloak, how many will it take 
 
 for both ? 
 
 5. Isaac bought 7 sheets of paper, and 3 more 
 were given to him ; how many had he then ? 
 
 6. If a peck of apples cost 7 cents, and a peck 
 of pears 10 cents, what did both cost ? 
 
 7. J^acob walked 9 miles and rode 7 ; how far 
 
 did he go ? 
 
 8. In 1 certain class there are 7 boys and 7 girls ; 
 how many pupils are there in the class ? 
 
 9. Jeremiah found 5 quiUs, and John found 7 ; 
 how many did both find ? 
 
 10. In a certain recitation there were 11 ques- 
 tions correctly answered, and 7 incorrectly answered;, 
 how many questions were asked ? 
 

 16 
 
 1. 
 
 2. 
 3. 
 
 4 
 6. 
 6. 
 
 7. 
 
 8. 
 
 0. 
 
 10. 
 
 11. 
 
 12. 
 
 13. 
 
 14. 
 
 }5. 
 
 16. 
 
 17. 
 
 18. 
 
 19. 
 
 20. 
 
 ADDITION. 
 
 Lesson XIU 
 
 How many are 3 
 
 How many ' are 8 
 
 How many are 8 
 
 How many are 8 
 
 How many are 8 
 
 How many are 8 
 
 How many are 8 
 
 -lIow many are 8 
 
 How many are 8 
 
 How many are 8 
 
 8 and 2 are how 
 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 and 
 
 1 ? 
 2? 
 3? 
 
 4? 
 5 ? 
 6? 
 7? 
 8? 
 9? 
 
 8 and 
 
 8 and 
 
 i and 
 
 8 and 
 
 3 
 
 7 
 4 
 
 are how 
 
 are how 
 
 are how 
 
 are how 
 
 8 and 6 are how 
 
 8 and 9 are how 
 
 8 and 10 are how 
 
 8 and 8 are how 
 
 11 and 8 are how 
 
 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 miiny ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 1 
 
 
 Lesson XIV. 
 
 1. A beggar met two boys; one gave him 7 cents 
 and the other gave him 8 cents ; how many cents 
 did both give him ? 
 
 -•, -\ J^'^n t.ought a hat for 5 doUars, and a vest 
 lor » dollars ; what was the cost of both ? 
 
 3. Tliere were 8 boys sitting, and 3 standing ; 
 how many boys were there in all ? 
 
 11 
 
ADDITION. 
 
 17 
 
 4. Eachel gave her teacher 8 pinks, and 2 roses ; 
 how many flowers did she give her ? 
 
 5. Barlow caught 8 squirrels, and Denton caught 
 4 ; how many did both catch ? 
 
 6. If we learn 6 pages this week, and 8 the next, 
 how many shall we leajrn in the two weeks ? 
 
 7. If in one Held there are 8 sheep, and in 
 another 9, how many are in both ? 
 
 8. Charles caught 8 fish, and Matthew caught 
 8 ; how many did both catch ? 
 
 9. George shot 10 pigeons, and James shot 8 ; 
 how many ^id both shoot ? 
 
 10. If one insect has 6 legs, and another insect 
 has 8, how many legs are on both insects ? 
 
 1. 
 2. 
 3. 
 4 
 5. 
 6. 
 7. 
 8. 
 9. 
 10. 
 
 11. 
 12. 
 13. 
 14 
 15. 
 
 Lesson XV. 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 9 
 
 How many are 
 
 9 and 3 are bow 
 
 9 and 5 are liow 
 
 7 and 9 are how 
 
 9 and 9 are how 
 
 9 and 4 are how 
 
 and 1 ? 
 
 and 2 ? 
 
 and 3 < 
 
 and 4 ? 
 
 and 5 ? 
 
 and 6 ? 
 
 and 7 ? 
 
 and 8 ? 
 
 ajid 9 ? 
 
 9 and 10 ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
18 
 
 ADDITION. 
 
 16. 
 17. 
 18. 
 19. 
 20. 
 
 9 and 6 are how many ? 
 
 8 and 9 are how many ? 
 
 9 and 2 are how many ? 
 9 and 10 are how many ? 
 9 and 11 are how many ? 
 
 Lesson XVI 
 
 1. Two boys, John and James, gave some money 
 to a beggar; John gave him 9 cents, and James 
 gave^him 4 cents ; how many cents did both give 
 
 2. Gave 6 cents to Henry, and 9 cents to Hiram : 
 now many cents were given to both ? 
 
 3. Gave 7 nuts to one boy, and 9 to another • 
 now many nuts did both receive ? ' 
 
 4 Bought strawberries for 9 cents, and plums 
 lor 5 cents ; what did both cost ? 
 
 5. Bought a knife for 11 cents, and a whistle for 
 y cents ; what was the cost of both ? 
 
 6. Gave 10 cents for an arithmetic, and 9 cents 
 tor a slate ; what did both cost ? 
 
 7. Euphemia learned 9 lessons, and Maria learned 
 « ; now many did both learn ? 
 
 8 A boy bought raisins for 9 cents, and a cake 
 lor 6 cents ; what was the whole cost ? 
 
 9. A lady bought some tape for 9 cents, and 
 some thread for 2 cents ; how much did both 
 cost ? 
 
 10. Gave 12 dollars for a cow, and 9 dollars for 
 a sheep ; what was given for both ? 
 
ADDITION. 
 
 19 
 
 1. 
 2. 
 3. 
 
 4. 
 B, 
 
 a 
 
 7. 
 8. 
 
 10. 
 
 11. 
 
 12. 
 13. 
 14 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 
 21. 
 
 22. 
 23. 
 24. 
 25. 
 26. 
 27. 
 26. 
 29. 
 50. 
 
 5 
 
 Lesson XVH 
 
 How many are 10 and 1 ? 
 
 How many are 10 and 2 ? 
 
 How many are 10 and 3 ? 
 
 How many are 10 and 4 ? 
 
 How many are 10 and 5 ? 
 
 How many are 10 and 6 ? 
 
 How many are 10 and 7 ? 
 
 How many are 10 and 8 ? 
 
 How many are 10 and 9 ? 
 
 How many are 10 and 10 ? 
 
 3 and 10 are how many ? 
 
 and 10 are how many ? 
 
 2 are how many ? 
 
 4 are how many ? 
 
 8 and 10 are how many ? 
 
 9 and 10 are how many ? 
 10 and 6 are how many ? 
 10 and 10 are how many ? 
 10 and 7 are how many ? 
 10 and 11 are how many ? 
 
 How many are 11 and 2 ? 
 
 How many are 11 and 5 ? 
 
 How many are 6 and 11 ? 
 
 How many are 11 and 3 ? 
 
 How many are 11 and 4 ? 
 
 How many are 11 and 7 ? 
 
 How many are 9 and 11 ? 
 
 How many are 11 and 10 ? 
 
 How many are 11 and 12 ? 
 
 How many are 11 and 14 ? 
 
 10 and 
 10 and 
 
1,1 
 
 20 
 
 ADDITION. 
 
 Lesson XVni. 
 
 1. Mary bought a pencil for 6 cents, a book lor 
 8 cents, and a slate for 10 cents; how much did 
 all cost ? 
 
 2 Joseph had 3 marbles, John 6, and James 
 10; how many did all have? 
 
 3. Bought a cow for 14 dollars, and a calf for 6 
 dollars; what did both cost? 
 
 4. Bought a bottle of ink for 6 cents, some paper 
 for o cents, and some pens for 10 cents; what was 
 paid for all ? 
 
 5. Susau is 11 years old, and Nancy is 9; what is 
 the sum of their ages ? 
 
 6. If a pound of beef cost 8 cents, and a pound 
 of pork 11 cents, what did the two pounds 
 cost J 
 
 7. A lady bought pins for 11 cents, and ribbon 
 lor 7 cents; what was the whole cost? 
 
 8 B. sold 9 cows to one man, and 7 cows to 
 anoth- ; how many did he sell to both? 
 
 9 . drover bought 4 cows of one man, 6 of 
 another, and 11 of another; how many did he 
 buy? "^ 
 
 10. A boy gave 10 cents for a whistle, 8 cents 
 lor a whip, and 6 cents for a top; how much did 
 he give for all? 
 
 11. A merchant sold 12 barrels of flour one 
 week, and 8 the next week; how many barrels 
 Old he sell durmg the two woeks ? 
 
 12. A farmer bought sugar for 14 doUars, and 
 molasses for 6 dollars; what cost both? 
 
AJiDniOTH. 
 
 21 
 
 I 
 
 I book tor 
 much did 
 
 ad James 
 
 calf for 6 
 
 >me paper 
 what was 
 
 9; what is 
 
 a pound 
 • pounds 
 
 id ribbon 
 
 cows to 
 
 lan, 6 of 
 y did he 
 
 , 8 cents 
 nuch did 
 
 lour one 
 y barrels 
 
 lars, and 
 
 13. Simeon gare 8 cents for a melon, 6 cents for 
 a j.Ji\e -apple, i-nd had G cents remaining; how 
 much haa he at first ? 
 
 14. Abner found 12 eggs, and Alice found 10 ; 
 how many did botli find ? 
 
 15. A boy saw 7 pigeons on one tree, 8 on an-, 
 other, and 5 on another ; how many did ho see in 
 aU? 
 
 16. A man bought a watch for 15 dollars, and 
 had 10 dollars remaining ; how many dollars had 
 lie at first ? 
 
 17. Egbert gave 4 cherries to Oliver, 7 to Ed- 
 win, and kept 12 himself; how many had he at 
 first? 
 
 18. Elizabeth picked 8 quarts of blackberries, 
 Ellen 5 quarts, and Helen 7 quarts; how many 
 quarts did all pick ? 
 
 19. Samuel gave 2 dimes for his breakfast, 4 
 dimes for his dinner, and had 14 dimes left ; how 
 much had he at first ? 
 
 20. A boy travelled 14 miles one day, and 
 11 the next; how far did he travel in the two 
 days ? 
 
 21. Henry gave 4 roses to Anna, 6 roses to 
 Mary, and had 5 roses remaining ; how many roses 
 had Henry at first ? 
 
 22. James picked 6 quarts of blackberries, John 
 picked 8 quarts, and Maggie picked 12 quarts; 
 how many quarts did all pick ? 
 
 23. Moses bought 7 marbles of John, 9 of Albert, 
 and 11 of Jackson ; how many did he buy in 
 aU? 
 
ciUBTRACTION. ^ 
 
 1. 3 
 
 • Analysis 
 
 2. 4 
 
 3. 5 
 
 4. 6 
 
 6. . 7 
 
 6. 8 
 
 7. 9 
 
 8. 10 
 
 9. 
 10. 
 
 11. 
 ?2. 
 13. 
 14. 
 15. 
 
 17. 
 18. 
 19. 
 20. 
 21. 
 22. 
 
 3 
 4 
 5 
 6 
 
 7 
 8 
 9 
 
 less 
 
 .— Threr 
 less 
 less 
 less 
 less 
 less 
 less 
 less 
 
 less 
 less 
 less 
 less 
 less 
 less 
 less 
 
 Lesson I 
 
 1 are how 
 lesa one are two. 
 
 1 are 
 
 1 are 
 
 1 are 
 
 1 are 
 
 1 are 
 
 1 are 
 
 1 are 
 
 2 
 2 
 2 are 
 
 are 
 are 
 
 2 
 
 are 
 are 
 are 
 
 liow 
 how 
 low 
 How 
 low 
 low 
 low 
 
 [low 
 low 
 low 
 low 
 tiow 
 [low 
 
 16. 10 less 
 
 5 
 
 fr 
 I 
 
 8 
 9 
 
 23. 10 
 
 24. 
 
 25, 
 
 4 
 5 
 
 less 
 less 
 less 
 less 
 less 
 less 
 less 
 
 less 
 
 2 
 2 
 
 2 are how 
 
 2 are how 
 
 3 are how 
 3 are how 
 3 are how 
 3 are how 
 3 are how 
 3 are how 
 
 3 are how 
 
 4 are how 
 4 are how 
 
 many ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many t 
 many ? 
 many ? 
 many ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 many ? 
 many ? 
 
SUBTRAOTIOfi. 
 
 23 
 
 Lesson II. 
 
 1. If I have 3 apples, and give 1 of them to 
 Jamea, liow many have I left? 
 
 Analysis. — If I have 3 apples, and give one of them to 
 James, I will liave remaining the ditterence l»etweeii 3 
 apples and 1 apple, which is 2 apples. 
 
 2. A boy had 4 chestnuts, and gave 1 away 
 ho w many had ho left ? 
 
 3. Catharine had 6 pins, and gave 1 away; how 
 many had she left ? 
 
 4. Rebecca bought G cakes, and ate 2 of them ; 
 how many had she left? 
 
 5. Eachel had 4 apples, and gave 2 of them to 
 George; how many had she left? 
 
 6. Alice iDought 5 cakes, and ate 3 of them for 
 her dinner; how many had she left? 
 
 7. Agnes had G quart? of berries, and sold 2 
 quarts of them; how many had she remaining? 
 
 8. Anna had 5 books, and lost 3 of them; how 
 many had she remaining ? 
 
 9. Weston had 9 marbles, and gave 2 of them 
 to John ; how many had he remaining ? 
 
 10. Eliza had 8 oranges, and gave her sister 2 of 
 them; how many had she remaining? 
 
 11. Sarah had 9 pinks, and gave her teacher 2 
 of them; how many had she left? 
 
 12. Isaac saw 10 pigeons on a tree; 2 of them 
 flew away; how many remained? 
 
 13. David had 6 apples, and gave 3 to his brother; 
 how many had he remaining? 
 
 14. Sold some apples for 9 cents, and some 
 
24 
 
 SITFrRACTION. 
 
 pears for 4 cents; how much more did I get for 
 the apples than for the pears ? 
 
 15. Louise had 8 roses, and gave 4 of them to 
 Ann; how many had she remaining? 
 
 16. Walter gave 9 cents for a book, and 4.cents 
 tor a pencil; how much more did the book cost 
 than the pencil ? 
 
 17. A farmer sold a calf for 12 dollars, and a 
 sheep for 4 dollars; how much more did he receive 
 tor the calf than the sheep? 
 
 18. Jane is 10 years old, and Susan is 6; how 
 many years older than Susan is Jane? 
 
 19. Mary found 12.quiUs, and lost 5 of them • 
 how many had she remaining? ' 
 
 20. Pamella gave 13 cents for a comb, and 9 
 cents for seme tape? how much more did the comb 
 cost than the tape? 
 
 many ? 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 
 
 
 Lesson ill. 
 
 1. 
 
 5 
 
 less 
 
 5 
 
 are 
 
 JlOW 
 
 2. 
 
 6 
 
 less 
 
 5 
 
 are 
 
 how 
 
 3. 
 
 7 
 
 less 
 
 5 
 
 are 
 
 how 
 
 4. 
 
 8 
 
 less 
 
 5 
 
 are 
 
 how 
 
 5. 
 
 9 
 
 less 
 
 5 
 
 are 
 
 how 
 
 6. 
 
 10 
 
 less 
 
 5 
 
 are 
 
 how 
 
 7. 
 
 12 
 
 less 
 
 5 
 
 are 
 
 how 
 
 8. 
 
 6 
 
 less 
 
 6 
 
 are 
 
 how 
 
 0. 
 
 7 
 
 less 
 
 6 
 
 are 
 
 how 
 
 ,lp. 
 
 8 
 
 less 
 
 6 
 
 are 
 
 how 
 
 11. 
 
 9 
 
 less 
 
 6 
 
 are 
 
 how 
 
 12. 
 
 10 
 
 less 
 
 6 
 
 are 
 
 how 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 

 
 
 SUBTRACTION. 
 
 13. 
 
 11 
 
 less 
 
 6 
 
 are 
 
 how 
 
 14 
 
 6 
 
 less 
 
 j 
 
 are 
 
 how 
 
 15. 
 
 7 
 
 less 
 
 5 
 
 are 
 
 how 
 
 16. 
 
 10 
 
 less 
 
 7 
 
 are 
 
 how 
 
 17. 
 
 9 
 
 less 
 
 7 
 
 are 
 
 how 
 
 18. 
 
 8 
 
 kss 
 
 5 
 
 are 
 
 how 
 
 19. 
 
 12 
 
 less 
 
 7 
 
 are 
 
 how 
 
 29. 
 
 14 
 
 less 
 
 6 
 
 are 
 
 how 
 
 21. 
 
 12 
 
 less 
 
 2 
 
 are 
 
 how 
 
 22. 
 
 13 
 
 less 
 
 3 
 
 are 
 
 how 
 
 23. 
 
 14 
 
 less 
 
 4 
 
 are 
 
 how 
 
 24. 
 
 15 
 
 less 
 
 5 
 
 are 
 
 how 
 
 25. 
 
 12 
 
 less 
 
 9 
 
 are 
 
 how 
 
 26. 
 
 12 
 
 less 
 
 10 
 
 are 
 
 l!ow 
 
 27. 
 
 12 
 
 less 
 
 7 
 
 are 
 
 how 
 
 2&. 
 
 12 
 
 less 
 
 5 
 
 are 
 
 how 
 
 29. 
 
 9 
 
 less 
 
 7 
 
 are 
 
 how 
 
 30. 
 
 13 
 
 less 
 
 7 
 
 are 
 
 how 
 
 25 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 Lesson IV. 
 
 1. Edward had 9 oranges, and gave 5 of them 
 to his sister ; how many had he left ? 
 
 2. A boy had 11 rabbits, 3 of which were killed 
 by a dog ; how many had he left ? 
 
 3. A farmer, having 8 bushels of apples, sold 5 
 bushels of them ; how many were left ? 
 
 4. A boy had 9 birds and 4 squirrels ; how many 
 more birds had he than squirrels ? 
 
 5. There "were 15 questions asked during a reci- 
 tation, 5 of which were answered incorrectly ; how 
 many were correctly answered ? 
 
 3 
 
96 
 
 SUBTRACTION. 
 
 lU (^eorge sold some marbles for 11 nn^f 
 which was 4 cents more than thei? cos • w\.f *'' 
 their cost ? ^^^^ » what was 
 
 than t& sponge? *^"^ ^'^^ ''^''*^ <=«st 
 
 much ought he to reS back ' '"" '^'' ^°^ 
 itfo1^^TS*--5-J-s,ana.M 
 
 be left ? ^"' ^""^ '^^J^ ^l^-fe panes will 
 
sJi, picked 
 
 7 
 
 3 of whom 
 
 s for can- 
 
 used 3 of 
 used ? 
 n cents, 
 what was 
 
 MTTLTIPLICATION. 
 
 Id it for 
 
 Id it for 
 
 dollars, 
 Jl; how 
 
 Lesson I. 
 
 TABLE. 
 
 2 times 1 are 2. 
 
 3 tim 
 
 2 * 
 
 2 ^ 
 
 ' 4 
 
 3 " 
 
 2 ' 
 
 3 * 
 
 ' 6. 
 
 3 " 
 
 2 ' 
 
 4 ' 
 
 ' 8. 
 
 3 " 
 
 2 ' 
 
 5 ' 
 
 ' 10. 
 
 3 « 
 
 2 ' 
 
 6 ' 
 
 ' 12. 
 
 3 " 
 
 2 ' 
 
 7 ^ 
 
 ' 14. 
 
 3 ' 
 
 2 ' 
 
 8 ' 
 
 ' 16. 
 
 
 2 ' 
 
 9 ' 
 
 ' 18. 
 
 3 " 
 
 2 * 
 
 ' 10 ' 
 
 ' 20. 
 
 3 " 
 
 2 ' 
 
 ' 11 ' 
 
 ' 22. 
 
 3 " 
 
 2 ' 
 
 ' 12 ' 
 
 ' 24. 
 
 3 " 
 
 2 
 3 
 4 
 5 
 6 
 7 
 
 9 
 10 
 11 
 12 
 
 11 
 
 a 
 
 ti 
 
 It 
 
 (( 
 
 ti 
 
 <( 
 
 (( 
 
 (C 
 
 « 
 
 (( 
 
 6. 
 
 9. 
 12. 
 15. 
 18. 
 21. 
 24. 
 
 27. 
 30. 
 33. 
 36. 
 
 1. How many are 2 times 2 ? 
 Analysis. — Two times two are fonr. 
 
 2. 
 
 How 
 
 rn any- 
 
 are 
 
 3. 
 
 How 
 
 Ill any 
 
 are 
 
 4. 
 
 How 
 
 many 
 
 are 
 
 5. 
 
 How 
 
 many 
 
 are 
 
 6. 
 
 How 
 
 m,any 
 
 are 
 
 7. 
 
 How 
 
 many 
 
 are 
 
 8. 
 
 How 
 
 many 
 
 are 
 
 9. 
 
 How 
 
 many 
 
 aro 
 
 10. 
 
 How 
 
 many 
 
 are 
 
 11. 
 
 How 
 
 many 
 
 are 
 
 two times 4 ? 
 
 two times 8 ? 
 
 two times 3 ? 
 
 two times 6 ? 
 
 two times 7 ? 
 
 two times 9 ? 
 
 two times 7 ? 
 
 two times 11 ? 
 
 two times 10 ? 
 
 two times 12 ? 
 
28 
 
 MULTIPUCATIOK. 
 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 IS. 
 19. 
 20. 
 21. 
 22. 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 How 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 many 
 
 are 
 
 three 
 
 times 4 ? 
 times 2 ? 
 times 3 ? 
 times 5 ? 
 times 8 ? 
 times 7 ? 
 times 10 ? 
 times 12 ? 
 times ll ,? 
 times 6 ? 
 times 9 ? 
 
 Lesson IJ. 
 
 1. What cost 2 lemons, at 4 cents each ? 
 
 . Analysis.— If l lemon costs 4 cents, 2 lemons will cost 
 two times 4 cents, which are 8 cents. 
 
 2. What cost 2 apples, at 4 cents each ? 
 6 \V hat cost 2 peaches, at 3 cents each ? 
 
 K )irr^* ^^^^' ^ ^^P^' ^^ ^ <^"^es each ? 
 5. What cost 3 melons, at 11 cents each ? 
 b. What cost 3 books, at 12 cents each ? 
 
 Q Tm:^^^ ^°^* ^ ^'^^*^^' '^'^ '^ ce^ts each ? 
 o -vS^^^. ^^^^ ^ pencils, at 6 cents each ? 
 ound ? ''''^* ^ ^'''''''^^ of raisins, at 12 cents a 
 
 J?* ^^^^ "^""^^ ^ pine-apples, at 9 cents each ? 
 11. What cost 3 lamps, at 4 dimes each ? 
 
 each ? ^^ '''''^ ^ looking-glasses, r^i 6 dimes 
 each ? ^^^^^ '''''^ ^ writing-hooks, at 3 dimes 
 
MULTIPLICATION. 
 
 29 
 
 es 
 
 4? 
 
 9S 
 
 2 ? 
 
 33 
 
 3 ? 
 
 3S 
 
 5? 
 
 JS 
 
 8 ? 
 
 5S 
 
 7? 
 
 JS 
 
 10? 
 
 5S 
 
 12? 
 
 S 
 
 lii? 
 
 S 
 
 61 
 
 S 
 
 9? 
 
 s will cost 
 
 ? 
 1? 
 
 1? 
 
 ? 
 
 cents a 
 
 each ? 
 3 dimes 
 5 dimes 
 
 14. What cost 3 candlesticks, at 5 dimes each? 
 
 15. What-cost 3 inkstands, at 7 cents each ? 
 
 16. What cost 2 balls of tape, at 10 cents a 
 
 ball? 
 
 17. What cost 2 hammers, at 11 cents each ? 
 
 18. What cost 3 papers of needles, at 8 cents 
 
 a paper ? 
 
 19. Wliat cost 2 baskets of strawberries, at 7 
 
 cents a basket ? 
 
 
 • 
 
 i 
 
 
 
 
 
 
 
 
 
 Lesson III 
 
 
 
 
 
 
 
 TABLE, 
 
 
 
 
 4 
 
 times 1 
 
 are 
 
 4. 
 
 5 
 
 times 
 
 1 
 
 are 5. 
 
 4 
 
 2 
 
 « 
 
 8. 
 
 5 
 
 « 
 
 2 
 
 " 10. 
 
 4 
 
 3 
 
 « 
 
 12. 
 
 5 
 
 (( 
 
 3 
 
 " 15. 
 
 4 
 
 4 
 
 (( 
 
 16. 
 
 5 
 
 << 
 
 4 
 
 " 20. 
 
 4 
 
 5 
 
 (t 
 
 20. 
 
 I** 
 
 D 
 
 (( 
 
 5 
 
 " 25. 
 
 4 
 
 6 
 
 (( 
 
 24. 
 
 5 
 
 (( 
 
 6 
 
 " 30. 
 
 4 
 
 " 7 
 
 (( 
 
 28. 
 
 5 
 
 <( 
 
 7 
 
 " 35. 
 
 4 
 
 " 8 
 
 (( 
 
 32. 
 
 5 
 
 « 
 
 8 
 
 " 40. 
 
 4 
 
 9 
 
 (( 
 
 36. 
 
 5 
 
 a 
 
 9 
 
 " 45. 
 
 4 
 
 " 10 
 
 IC 
 
 40. 
 
 5 
 
 a 
 
 10 
 
 " 50. 
 
 4 
 
 " 11 
 
 « 
 
 44. 
 
 5 
 
 (I 
 
 11 
 
 " 55. 
 
 4 
 
 " 12 
 
 C( 
 
 48. 
 
 5 
 
 (( 
 
 12 
 
 " GO. 
 
 1. 
 
 Four 
 
 times 3 
 
 are 
 
 how 
 
 many ? 
 
 2. 
 
 Four 
 
 times 6 
 
 are 
 
 how 
 
 many ? 
 
 3. 
 
 Four 
 
 times 8 
 
 are 
 
 how 
 
 many ? 
 
 4. 
 
 Four 
 
 times 7 
 
 are 
 
 how 
 
 many ? 
 
 5. 
 
 Four 
 
 times 4 
 
 are 
 
 how 
 
 many ? 
 
 6. 
 
 Four 
 
 times 2 
 
 are 
 
 how 
 
 many ? 
 
 
 
 
 • 
 
 
 
 
 
30 
 
 It i 
 
 \f f 
 
 ■•r 
 
 ; 
 
 
 MULTIPLICATION. 
 
 
 7. 
 
 Fcnir 
 
 times 
 
 11 
 
 are 
 
 how 
 
 8. 
 
 Five 
 
 times 
 
 3 
 
 are 
 
 how 
 
 9. 
 
 Five 
 
 times 
 
 5 
 
 are 
 
 how 
 
 10. 
 
 Five 
 
 times 
 
 4 
 
 are 
 
 how 
 
 11. 
 
 Five 
 
 times 
 
 6 
 
 are 
 
 how 
 
 12. 
 
 Foiir 
 
 times 
 
 10 
 
 are 
 
 how 
 
 la 
 
 Five 
 
 times 
 
 2 
 
 are 
 
 how 
 
 14. 
 
 Four 
 
 times 
 
 2 
 
 are 
 
 how 
 
 15. 
 
 Five 
 
 times 
 
 9 
 
 are 
 
 how 
 
 16. 
 
 Five 
 
 times 
 
 8 
 
 are 
 
 how 
 
 17. 
 
 Five 
 
 times 
 
 10 
 
 are 
 
 how 
 
 18. 
 
 Four 
 
 times 
 
 11 
 
 are 
 
 how 
 
 19. 
 
 Five 
 
 times 
 
 11 
 
 are 
 
 how 
 
 20. 
 
 Four 
 
 times 
 
 12 
 
 are 
 
 how 
 
 21. 
 
 Five 
 
 times 
 
 12 
 
 are 
 
 how 
 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 many ? 
 fnany ? 
 many ? 
 many ? 
 many ? 
 many ? 
 
 Lesson IV. 
 
 1. Wliat cost 4 pair of shoes, at 3 dollars a 
 pair? 
 
 2. What cost 5 pounds of mutton, at 6 cents 
 a pound ? 
 
 3. What cost 4 barrels of sugar, at 8 dollars a 
 barrel ? 
 
 4. What cost 5 pounds of sturgeon, at 10 cents 
 a pound ? 
 
 5. What cost 4 pounds of almonds, at 11 cents 
 a pourd ? 
 
 6. What cost 5 barrels of pork, at 9 dollars a 
 barrel ? 
 
 7. What cost 4 pounds of candles, at 10 cents 
 a pound ? 
 
MULTIPLICATION. 
 
 h 
 
 8. What cost 5 coats, at 4 dollars each ? 
 
 9. What cost 4 handkerchiefs, at 5 dimes 
 «aeh ? 
 
 10. AVhat cost 5 lamps, at 3 dimes each ? 
 
 11. AAHiat cost 4 plows, at 7 dollars each ? 
 
 12. What cost 5 boxes of caps, at 11 cents a 
 box? 
 
 13. Wh it cost 4 quires of paper, at 12 cents a 
 quire ? • 
 
 14. What cost 5 letter-folders, at 11 cents 
 each ? 
 
 15. Wliat cost 4 oranges, at 7 cents each ? 
 
 16. What cost 5 pen-knives, at 12 cents 
 each ? 
 
 17. What cost 4 bunches of grapes, at 9 cents a 
 bunch? 
 
 18. What cost 5 pine-apples, at 8 cents each ? 
 
 19. What cost 4 spools of cotton, at 6 cents 
 each ? 
 
 20. What cost 5 pounds of ginger, at 7 cents a 
 pound ? 
 
 
 
 
 Lesson V. 
 
 
 
 
 
 
 
 TABLE. 
 
 
 
 
 6 
 
 times 
 
 1 
 
 are 6. 
 
 6 
 
 times 
 
 . 7 are 
 
 42. 
 
 6 
 
 
 2 
 
 " 12. 
 
 6 
 
 
 8 " 
 
 48. 
 
 6 
 
 
 o 
 
 " 18. 
 
 6 
 
 
 9 " 
 
 54 
 
 6 
 
 
 4 
 
 " 24. 
 
 6 
 
 
 10 " 
 
 60. 
 
 S 
 
 
 5 
 
 " 30. 
 
 6 
 
 
 11 " 
 
 66. 
 
 € 
 
 
 6 
 
 " 36. 
 
 6 
 
 
 12 " 
 
 72. 
 
^^ift^i* 
 
 32 
 
 MULTIPLICATION. 
 
 7 
 
 7 
 7 
 7 
 7 
 7 
 
 1. 
 
 2. 
 
 iS. 
 
 4. 
 
 5. 
 
 6. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 11. 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 21. 
 22. 
 23. 
 24 
 25. 
 26. 
 
 times 
 
 (( 
 
 (I 
 
 (C 
 
 (( 
 
 1 
 
 2 
 3 
 
 4 
 5 
 6 
 
 are 7. 
 14. 
 21. 
 28. 
 35. 
 42. 
 
 7 
 
 7 
 7 
 7 
 7 
 7 
 
 times 
 
 (( 
 
 7 
 
 8 
 
 9 
 
 10 
 
 11 
 
 12 
 
 Six times 2 are how many ? 
 Six times 5 are how many ? 
 Seven times 5 are how many ? 
 Seven times 2 are how many ? 
 Six times 8 are ho^^' many ? 
 Six times 7 are how many ? 
 Six times 10 are how many ? 
 Seven times 7 are how many ? 
 Seven times 8 are how many? 
 Seven times 10 are how many ? 
 Six times 3 are how many ? 
 Six times 6 are how many ? 
 Six times 4 are how many ? 
 Seven times G ai-e how many ? 
 Seven times 3 are how many ? 
 Seven times 4 are how many ? 
 Six times 9 are how many ? 
 Six times 12 are liow many ? 
 Six times 21 are how many ? 
 Seven times 11 are ho^^r many ? 
 Seven times 9 are how many ? 
 Seven times 12 are how many ? 
 Seven times 13 are how many ? 
 Seven times 15 are how many ? 
 Six times 15 are how many ? 
 Six times 20 are how many ? 
 
 are 
 
 49. 
 56. 
 63. 
 
 70. 
 77. 
 84 
 
MULTIPLICATION 
 
 33 
 
 Lesson VI 
 
 1. "Wliat cost 6 quarts of cherries, at 4 cents a 
 quart ? 
 
 2. "Wliat cost 7 quarts of raspberries, at 4 cents 
 a quart ? 
 
 3. What cost 6 lead pencils, at 5 cents each ? 
 
 4. What cost 7 pens, at 3 cents each ? 
 
 5. What cost 7 lead pencils, at 5 cents each ? 
 
 6. What cost 5 cakes, a*-j 3 cents each ? 
 
 7. What cost 7 figs, at 2 cents each ? 
 
 8. What cost 5 pictures, at 6 cents .each ? 
 
 9. What cost 5 tomatoes, at 2 cents each ? 
 
 10. What cost 6 ounces of cinnamon, at & cents 
 a^ ounce ? 
 
 \ 11. What cost 5 pounds of cheese, at 8 cents a' 
 
 pound ? 
 j^ 12. What cost 7 pounds of prunes, at 9 cents a 
 : pound ? 
 
 Y 13. What cost 5 fish-hooks, at 9 cents each ? 
 'y- 14. What cost 7 yards of calico, at 8 cents a 
 
 yard ? 
 *-*— -15. Wliat cost G skeins of silk, at 8 cents 4 
 skein ? 
 
 r 16. What cost G pounds of starch, at 12 cents a 
 .pound ? 
 ^^ 17. What cost 7 barrels of fiour, at 10 dollars a 
 barrel ? 
 
 18. What cost 6 bushels of potatoes, at 9 dimes 
 a bushel ? 
 " 19. What cost 7 primers, at 11 cents each ? 
 
 20. What cost 7 coats, at 12 dollars each ? 
 
u 
 
 MULTIPLICATION. 
 
 Lesson Vn. 
 
 i 
 
 * 
 
 \k 
 
 ■ 
 
 TABLE. 
 
 8 times 1 
 
 8 
 8 
 8 
 
 8 
 8 
 8 
 8 
 8 
 8 
 8 
 8 
 
 1. 
 
 2. 
 
 3. 
 
 4. 
 
 5. 
 
 G. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 11. 
 12. 
 13. 
 14. 
 15. 
 IG. 
 
 (C 
 
 « 
 
 « 
 
 <( 
 
 <( 
 
 (( 
 
 (( 
 
 (( 
 
 << 
 
 2 
 3 
 
 4 
 
 5 
 
 G 
 
 7 
 
 8 
 
 ^9 
 
 10 
 
 11 
 
 12 
 
 are 
 
 (I 
 
 (( 
 <( 
 
 (( 
 
 c< 
 
 <( 
 
 tc 
 
 <( 
 
 8. 
 16. 
 24. 
 32. 
 
 40. 
 48. 
 56. 
 64 
 72. 
 80. 
 88. 
 96. 
 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 
 times 
 
 (( 
 
 (( 
 
 (( 
 
 Cl 
 
 (I 
 
 (( 
 
 <( 
 
 (C 
 
 (( 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 G 
 
 7 
 
 8 
 
 9, 
 
 10 
 
 11 
 
 12 
 
 ^ight times 4 are how many ? 
 Eiglit times 6 are liow many ? 
 Eight timep 3 are how many ? 
 Eight times 2 are liow many ? 
 Eight times 5 are how many ? 
 Nine times 4 are how many ? 
 Nine times 3 are liow many ? 
 Nine times G are how many ? 
 Nine times 5 are liow many ? 
 Nine times 2 are how many ? 
 Eight times 12 are how many ? 
 Nine times 7 are how many ? 
 Eight times 1 1 are how many ? 
 Nine times 8 are how many ? 
 Nine times 10 are how many ? 
 Eight times 10 are how many ? 
 
 are. 9. 
 
 18. 
 
 27. 
 
 36. 
 
 45. 
 
 54. 
 
 63. 
 
 72. 
 
 81. 
 
 90. 
 
 99. 
 " 108 
 
 (( 
 (( 
 
 <c 
 <c 
 ,( 
 II 
 (I 
 (( 
 (( 
 
MULTIPLICATION. 
 
 M 
 
 17 Ei"lit times 9 are how many ? 
 
 18. Nine times 11 arc how many ? 
 
 19 Eight times 8 are how many ? 
 
 20* Nine times 12 are how many ? 
 
 Lesson VIIl 
 
 1. What cost 9 sticks of tape, at 4 cents a 
 
 '^'2^ What cost 8 yards of calico, at 12 cents a 
 
 ^^3 What cost 9 combs, at 2 cents each 1 
 
 4 What cost 8 pine-apples, at 11 cents each ^ 
 5'. What cost 9 spools of thread, at 11 cents a 
 
 ^"^t What cost 8 brushes, at 10 cents each ? 
 7! What cost 9 cakes of paint, at o dimes a 
 
 ^^ a What cost 8 yards of miisUn, at 9 cents a 
 
 ^% What cost 9 citrons, at 9 cents each ? 
 
 lb. What cost 8 boxes of caps, at 8 cents a 
 
 11 What cost 9 orangt- , at 6 cents each ? 
 
 12. What cost 8 boxes of figs, at 7 dimes a 
 
 ^13 What cost 9 lemons, at 7 cents each ? 
 14 Wliat cost 9 feet of boards, at 8 cents a 
 
 ^""^5. What cost 9 bushels of oats, at 11 cents a 
 bushel ? 
 
 * 
 
 I 
 

 II 
 
 36 
 
 MULTIPLICATION. 
 
 i; 
 
 16. What cost 8 yards of merino, at 3 dimes a 
 ^'Tt. What cost 9 yards of broadcloth, at 5 dollars 
 
 ^ ^iT What cost 9 plows, at 10 dollars each ? 
 19 What cost 8 chickens, at 5 cents each ? 
 20. What cost 9 pigeons, at 12 cents each ? 
 
 Lesson IX. 
 
 TABLE. 
 
 10 times 1 are 10. I H times 1 are 11. 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 10 
 
 (( 
 
 « 
 (( 
 i( 
 (( 
 it 
 (( 
 
 2 
 3 
 4 
 5 
 6 
 7 
 8 
 9 
 
 10 
 11 
 12 
 
 
 20. 
 
 30. 
 
 40. 
 
 50. 
 
 60. 
 
 70. 
 
 80. 
 
 90. 
 " 100. 
 " 110. 
 " 120. 
 
 (( 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 11 
 
 (( 
 (( 
 <( 
 
 « 
 
 « 
 
 C( 
 
 c. 
 
 C( 
 
 {( 
 
 2 
 3 
 4 
 5 
 6 
 7 
 8 
 9 
 
 10 
 11 
 12 
 
 22. 
 33. 
 44. 
 55. 
 
 66. 
 
 77. 
 
 88. 
 
 99. 
 " 110. 
 " 121. 
 " 132. 
 
 (C 
 
 Lesson X. 
 
 1. If ahoy travel 5 miles in one day, how far 
 will he go in 10 days ? 
 
 2. If a boy earn 5 cents a day, how many cents 
 
 will he earn in 11 days ? . , i , n 
 
 3. If James has 3 marbles, and John has ii 
 times as many, how many has he ? 
 
MULTIPLICATION. 
 
 IT 
 
 4. If a hare run 3 rods in a-eccond,howfar wiU 
 
 fthe run in 10 seconds ? , . ^ ^ . . 
 
 5.Tacob ia 7 years old, ancl.Tosiah is 11 times as 
 old as Jacob ; how old is Josiah ? 
 
 6 If I pay 7 cents for riding, one mde. how 
 mudi must I pay for riding 10 miles ? 
 
 7. Mary has 2 roses, and fearah has 10 tuaes as 
 manv ; how many has she ? , ^ ^. 
 
 8^%ert killed 2 birds, and saw 11 times as 
 
 -TSl t:r?L^o:^i^ lO times as ' 
 
 To'^ yr; gri Itei^s L a piece of pie ; what 
 would 11 pieces cost at the same rate ? 
 
 11. If a stage-coach go G miles in one hour, how 
 
 far i«ll it eo in 11 hour? ? 
 Vr If a man shear C sheep in one day. how 
 
 manv can he shear in 10 days ? . ., 
 
 13^ Henry is worth 8 dollars, and Hiram is wortn 
 
 11 times as much; how much is Hiram worth? 
 14. What wUl 8 tons of hay cost, at 10 douars 
 
 "" *15. mat wiU 9 firkins of butter cost, at 11 
 
 '°?rw£will 9 pounds of fish cost, at 11 cents 
 
 ^ ^riunson caught 10 fish and Marvin 10 
 times as many ; how many did Marvm catch? 
 18. What cost 11 .parts ot wahiuts, at 10 c«nt3 
 
 ^ Ta'A farmer sold 11 cattle, at 11 dollais.each ; 
 what did he receive for them all ? 
 
 4 
 
 « 
 
38 
 
 irULTIPLICATION. 
 
 Lesson XI 
 
 TADLB. 
 
 12 
 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 
 How 
 How 
 How 
 How- 
 How 
 How 
 How 
 How 
 How 
 liX How 
 
 Twelve 
 Twelve 
 Twelve 
 Twelve 
 Twelve 
 Twelve 
 Twelve 
 
 1. 
 »> 
 
 mi. 
 • k 
 
 o. 
 4 
 
 a 
 
 times 
 
 « 
 
 « 
 
 luanv 
 luanv 
 
 lUiiiiy 
 manv 
 manv 
 luauv 
 immv 
 manv 
 uiany 
 many 
 
 timecji 
 times 
 
 times 
 times 
 
 times 
 times 
 times 6 
 
 S 
 
 12 
 
 11 
 o 
 9 
 
 •» 
 o 
 
 1 
 
 5 
 
 6 
 
 7 
 
 8 
 
 
 10 
 11 
 12 
 
 are 
 are 
 ai-e 
 an? 
 
 art' 
 are 
 are 
 Lxn.» 
 are 
 are 
 
 are 
 are 
 are 
 are 
 are 
 ore 
 are 
 
 are 
 
 u 
 (( 
 
 (( 
 a 
 u 
 <( 
 <t 
 
 « 
 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 12 
 
 how 
 bow 
 how 
 how 
 how 
 hov/ 
 how 
 
 12. 
 
 24 
 
 36. 
 
 48. 
 
 60. 
 
 72. 
 
 84 
 
 96. 
 108. 
 120. 
 132. 
 144 
 
 times 
 times 
 
 times 
 times 
 times 
 times 
 times 
 
 3 ? 
 
 5 ? 
 
 4 i 
 2 ? 
 
 6 ? 
 
 7 ? 
 
 9 ? 
 times 11 ? 
 times 12 ? 
 times 10 ? 
 
 miiny 1 
 manv ; 
 manv { 
 
 w 
 
 manv ? 
 many I 
 manv ? 
 
 mau-#- 1 
 
MFLTIPLICATION. 
 
 39 
 
 Lesson XXI. 
 
 "TlTa Bchool-room arc 12 benches, and 
 bovs on each bench; ho. many boys m the 
 
 Tin a corn-field are 12 -ws and 12 hills in 
 
 each row; 1-- --^ ^""Cte fen s a ponnd, 
 J?-aJnc:air;el^lo„nd?.hat 
 
 '^f Ttanerlld U bushcb of potatoes, and had 
 12tints~any bushels remaining; how many 
 
 n^l^'r^y^oWrS^'l^ rows of seats, and 
 
 seis in eatrow; 1- -ny 3 -^^^^^^ 
 8. What cost 8 pounds oi chocolate, ai i- 
 
 " n^boy earned 35 cents a day a;-) paul 25 
 cents aday for his board; how much had he lett 
 at the expiration ot days ^^j_ 
 
 10 A farmer bought '.) aoies ot una, at 
 lart an acre; what did it all costs 
 
f w 
 
 III 
 
 40 
 
 MULTIPLICATION. 
 
 Note.— Tlie sign of Multiplication is x, and is 
 times. The sign of equality is =, and is read equais, 
 
 read nvltiplied by, or 
 or equal to. 
 
 IX 1= 1 
 
 2X 1= 2 
 
 3X 1= 3 
 
 4X 1= 4 
 
 5X 1= 5 
 
 6X 1= 6 
 
 7X 1- 7 
 
 8X 1= 8 
 
 9X 1= 9 
 
 lOx 1= 10 
 
 IX 2= 2 
 2X 2= 4 
 3X 2= 6 
 4X 2= 8 
 5X 2= 10 
 6X 2= 12 
 7X 2= 14 
 8X 2= 16 
 9X 2= 18 
 lOx 2= 20 
 
 UX 1= 11 llX 2= 22 
 12x 1= 12I12X 2= 24 
 
 IX 3= 
 
 2X 3= 
 
 3X 3= 
 
 4X 3= 
 
 5X 3= 
 
 6X 3= 
 
 7< 3= 
 
 8X 3= 
 
 9X 3= 
 
 10 X 3--= 
 
 IIX 3- 
 
 12 X 3= 
 
 3 
 
 6 
 9 
 
 12 
 15 
 18 
 21 
 24 
 27 
 30 
 33 
 30 
 
 IX 
 2X 
 3)^ 
 4X 
 
 5X 
 
 6X 
 
 7X 
 
 8X 
 
 9X 
 
 lOX 
 
 IIX 
 
 12X 
 
 4= 4 
 4= 8 
 4= 12 
 4= 16 
 4= 20 
 4= 24 
 4= 28 
 4= 32 
 4= 36 
 4= 40 
 4= 44 
 4= 48 
 
 IX 5- 5 
 
 IX 6- 
 
 2X 5= 10 
 
 2V '\z=z 
 
 3X 5— 15 
 
 3.C 6- 
 
 4X 5= 20 
 
 4X 6= 
 
 5X 5— 25 
 
 5X 6= 
 
 6X 5= 30 
 
 TX 5= 35 
 
 8X 5= 40 
 
 9X 5= 45 
 
 lOX 5= 50 
 
 UX 5= 55 
 
 12X 5= 60 
 
 6, IX 7= 
 
 12 1 2X 7 = 
 
 18 
 
 24 
 
 30 
 
 6X 6=r 36 
 7X 6= 42 
 8X 6= 48 
 9X 0= 54 
 lOX 6= 60 
 
 3X 7 = 
 4X 7 = 
 5X 7= 
 6X 7 = 
 7X 7 = 
 8X 7= 
 OX 7= 
 lOX 7 = 
 
 UX 6= 66 UX 7 = 
 
 7 
 
 14 
 21 
 28 
 35 
 42 
 49 
 56 
 03 
 70 
 77 
 84 
 
 IX 8 = 
 
 2X 8 = 
 
 3X 8 = 
 
 4X 8= 
 
 5X 8 = 
 
 6X 8 = 
 
 7X 8 = 
 
 8X 8 = 
 
 9X 8- 
 
 lOX 8- 
 UX 8 = 
 12X 8 = 
 
 IX 9= 91 1x10= lOi 1 xll = 
 2X 9= 181 2x10= 20 2x11 = 
 
 3x11 = 
 
 4xU = 
 
 3X «= 27 
 4X 9= 36 
 5X 9= 45 
 6X 9= 54 
 7X 9= 63 
 8X 9= 72 
 9X 9= 81 
 lOX 9= 90 
 
 3x10= 30 
 4x10= 40 
 5x10= 50 
 6x10= 60 
 
 IIX 
 12X 
 
 9= 99 
 9 = 108 
 
 7x10 = 
 
 = 70! 
 
 8x10 = 
 
 = 80 
 
 9 X 10 = 
 
 = 90 
 
 10x10 = 
 
 = 100 
 
 11x10 = 
 
 = 110 
 
 12 X 10 - 
 
 = 120 
 
 5 xU = 
 
 6x11 = 
 
 7x11 = 
 
 8x11 = 
 
 9x11 = 
 
 10x11 = 
 
 U xll = 
 
 12x11 = 
 
 U 
 
 22 
 
 33 
 
 44 
 
 55 
 
 66 
 
 77 
 
 88 
 
 99 
 
 110 
 
 121 
 
 132 
 
 8 
 16 
 24 
 32 
 
 40 
 48 
 56 
 64 
 72 
 80 
 38 
 96 
 
 1x12 = 
 
 2x12 = 
 
 3x12 = 
 
 4x12 = 
 
 5x12 = 
 
 6x12 = 
 
 7x12 = 
 
 8x12 = 
 
 9x12 = 
 
 10x12 = 
 
 U xl2 = 
 
 12x12 
 
 12 
 24 
 36 
 48 
 60 
 = 72 
 = 84 
 = 96 
 = 108 
 = 120 
 = 132 
 = 144 
 
DIVISION 
 
 Lesson I 
 
 1 4 are liow many 
 
 ANALYBIS.-4 are as many times 
 tin;esiu4,wliichare2^tmies. 
 
 2. 
 
 times 2 ? 
 2, as 2 is contained 
 
 3. 
 4. 
 5. 
 6. 
 7. 
 8. 
 9. 
 10. 
 11. 
 12., 
 13. 
 14 
 15. 
 16. 
 17. 
 18. 
 
 2 are how many 
 G are liow many 
 8 are how many 
 10 are how many 
 12 are how many 
 14 are how many 
 16 ave how many 
 3 are how many 
 9 are how many 
 G are how many 
 12 are how many 
 15 are how many 
 18 are how many 
 
 21 are how many 
 18 are how many 
 20 are how many 
 
 22 are how many 
 
 times 2 1 
 times 2 ? 
 times 2 ? 
 times 2 ? 
 times 2 ? 
 times 2 ? 
 times 2 ? 
 times o 5 
 
 times 
 
 times 
 
 times 
 
 times 3 ? 
 
 tunes •-> ^ 
 
 tunes o ^ 
 
 times 2 ? 
 
 times 2 ? 
 
 times 2 ? 
 
 3 ? 
 3? 
 
 Lesson II. 
 l.IfI<,ivefovoneapple2cents,howmany 
 
42 
 
 DIVISION. 
 
 i I 
 
 II' 
 
 2. At 2 cents each, how many pears can I buy 
 for 6 cents ? 
 
 3. At 2 cents each, how many oraiiges can I 
 buy for 8 cents ? 
 
 4. At three dimes a yard, how many yards of 
 tcalico can he had for 12 dimes ? 
 
 5. At 3 cents each, how many lemons can be had 
 for 9 cents ? 
 
 6. At 2 cents a yard, how many yards of tape 
 <;an be bought for 10 cents ? 
 
 7. At 2 dimes a bushel, how many bushels of 
 apples may be had for 12 dimes ? 
 
 8. How many baskets of strawberries, at 3 cents 
 a basket, can be had for 15 cents ? 
 
 9. How many pounds of ginger, at 2 dimes a 
 pound, may be liad for 14 dimes ? 
 
 10. For 18 dollars, how many yards of cloth can 
 be had, at 2 dollars a yard ? 
 
 11. For 16 apples, how many oranges can be 
 had, by giving. 2 apples for 1 orange ? 
 
 12. How many primers, at 2 cents each, can be 
 had for 26 cents ? 
 
 13. How many barrels of flour, at 2 dollars a 
 barrel, can be bought for 24 dollars ? 
 
 14. For 22 dollars, how many sheep may be 
 bought, at 2 dollars each ? 
 
 15. How many melons, at 3 dimes each, may be 
 had for 18 dimes? 
 
 16. At 3 cents each, liow many tops may be 
 had for 6 cents ? 
 
 17. If 1 peck of beans cost 3 dimes, how many 
 pecks can be bought for 21 dimes ? 
 
DIVISION'. 
 
 43 
 
 X 8 are 
 
 2. 12 are 
 
 3. 16 are 
 4 5 are 
 
 5. 10 are 
 
 6. 20 are 
 
 7. 15 are 
 
 8. 28 are 
 
 9. 20 are 
 
 10. 32 are 
 
 11. 36 are 
 
 12. 28 are 
 
 13. 30 are 
 14 25 are 
 
 15. 35 are 
 
 16. 36 are 
 
 17. 27 are 
 
 18. 36 are 
 
 19. 48 are 
 
 20. 48 are 
 
 Lesson IH 
 
 how many 
 how many 
 how many 
 how many 
 how many 
 how many 
 how many 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 how many 
 
 times 4 ? 
 times 4 ? 
 times 4 ? 
 times 5 ? 
 times 5 ? 
 times 4 ? 
 times 5 ? 
 times 4 ? 
 times 5 ? 
 times 4 ? 
 times 2 ? 
 
 times 2 ? 
 
 times 5 ^ 
 
 times 5 r 
 
 times 5 ? 
 
 times 4 ? 
 
 times 3 ? 
 
 tim^s 3 ? 
 
 times 4 ? 
 
 times 3 ? 
 
 Lesson IV. 
 
 . 1. If4 Ijoota- cost 8 cents, ^Tllat mil 1 book 
 
 ^° t irrs^roriJ cents. ...t .^ 1 
 
 orange cost ? 
 
 I 
 
u 
 
 DIVISION. 
 
 3. If 4 lemons cost 16 cents, what will 1 lemon 
 
 cost ? 
 
 4. If a boy walk 20 miles in 4 days, how far 
 
 does he walk in 1 day ? 
 
 5. If a boy divide 10 apples equally among 5 of 
 his playmates, how many will each receiw^ '^ 
 
 G> A boy distributed 15 walnuts equally among 
 5 of his playmates ; how many did each receive ? 
 
 7, A man gave 28 dollars for 4 hogs; how much 
 did they cost each ? 
 
 a A boy sold 5 baskets of berries for 20 cents ; 
 how much did he get for one basket ? 
 
 9. Mary gave 35 cents for 5 pencils ; how much 
 were they each ? 
 
 10. Margaret gave 36 cents for 4 spools of thread ; 
 how much did she pay for each ; 
 
 11. Thornton walked 27 miles in 3 days; how 
 far did he walk each day? 
 
 12. If 3 inkstands cost 36 cents, what will 1 
 inkstand cost? 
 
 13. If 2 yards of calico cost 36 cents, how much 
 
 will one yard cost ; 
 
 14. If 4 pounds of beef cost 32 cents, what will 
 
 1 pound cost ? 
 
 15. If 2 balls of cotton cost 28 cents, what will 
 
 1 ball cost ? 
 
 16. If 3 melons cost 30 cents, what will 1 melon 
 
 cost ? 
 
 17. A man sold 3 cows for 48 dollars ; how much 
 was that for each ? 
 
 18. Albert gave 36 marbles for 4 oranges ; how 
 many marbles did he give for 1 orange? 
 
MUtTIPLIOATIOH AND DIVI5I0S. 
 
 i!> 
 
 Lesson V. 
 
 Multiplication and DiviMm CmMrud. 
 L 3 times 4 are how many times 2? 
 A.NAWSIS -3 times 4 are 12. 12 is a? mauy time^ 2 « 
 3 it!Sed times in 12. which are 6 Umes. ^ 
 
 2 3 times 6 are how many times 2 . 
 
 3 3tiiiies 8 are how many times 2 ? 
 
 4 3 times 10 are how many times 2 ? 
 t 3 toes 12 are how many times 2 ? 
 
 6 3 times 12 are how many times 2 ? 
 
 7 4 times 4 are how many times 2 ? 
 
 8 4 times 5 are how many tunes 2 ? 
 
 9 4 times 6 are how many imes 3 ? 
 - 4 times 7 are how many times 2 ? 
 
 4 times 8 are how many times ^ ■ 
 4 times 9 are how many imes b ^ 
 4 times 10 are how many times b ■ 
 4 times 11 are liow many times 2 . 
 4 times 12 are how many times 6 . 
 
 4 times 12 are how many times o ■ 
 
 5 times 6 are how many times 6 . 
 5 times 8 are how many times 4 ? 
 5 times 9 are how many times 3 ! 
 5 times 10 are how many times 2 ? 
 How many times 4 are 5 times 12 ? 
 How many times 3 are 6 times 4? 
 How man^ times 3 are 6 times 7? 
 How many times 3 are 6 times 5 . 
 How many times 4 are 6 times 8? 
 How many times 3 are C times 10 ? 
 
 10. 
 11. 
 
 12. 
 
 13. 
 
 14. 
 
 15. 
 
 16. 
 
 17. 
 
 18. 
 
 19. 
 
 20. 
 
 21. 
 
 22. 
 
 23. 
 
 24. 
 
 25. 
 
 26. 
 
 'y 
 
 W 
 
46 
 
 MULTrPLICATION AND DIVISION. 
 
 27. How 
 
 28. How 
 
 29. How 
 
 30. How 
 
 31. How 
 
 32. How 
 
 33. How 
 
 34. How 
 
 35. How 
 
 36. How 
 
 37. How 
 
 38. How 
 
 39. How 
 
 40. How 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 many 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 times 
 
 3 are 
 10 are 
 
 4 aie 
 6 are 
 
 5 .ire 
 
 3 are 
 
 6 are 
 15 are 
 
 6 are 
 
 7 are 
 5 are 
 7 are 
 9 are 
 
 4 arf. 
 
 6 time& 
 8 times 
 8 times 
 8 times 
 
 8 times 
 
 9 times 
 9 times 
 9 times 
 9 times 
 
 2 times 
 10 times 
 
 3 times 
 12 times 
 12 times 
 
 11? 
 
 5? 
 7? 
 
 9? 
 10? 
 
 or 
 
 8? 
 10 T 
 12? 
 14? 
 
 7? 
 14? 
 
 6? 
 
 P? 
 
 Lesson VI 
 
 Practical QitestiortSf combining Midtip^icatio'n aiid Division. 
 
 1. If 2 pears cost 4 cents, what will 3 pears 
 cost? 
 
 Analysis.— If 2 pears cost 4 cents, 1 pear will cost one- 
 half of 4 cents, which is 2 cents. If 1 pear cost 2 cents, 3 
 pears will cost 3 times 2 cents, which are 6 cents. 
 
 2. If 2 pens cost 6 •cents, what will 5 pens 
 
 cost? 
 
 3. If 2 melons cost 24 cents, what will 3 melons 
 
 cost? 
 
 4. If 2 lemons cost 8 cents, what will 4 lemons 
 
 cost? 
 
 5. If 2 books cost 10 dimes, what will 6 books 
 
 cost? 
 
 
 
MULTIPLICATION AND DIVISION. 
 
 47 
 
 6. If 2 oranges cost 6 cents, what will 10 oranges 
 ^"^ 7.* If 3 pine-apples cost 36 cents, what will 7 
 
 ^tTs'lT^^^ cents, what wiU 5 cost? 
 
 9. If 3 pencils cost 18 cents, what will 6 pencils 
 
 '""to Ii 3 pens cost 9 cents, what will 8 cost? 
 11. If 3 caps cost 12 dimes, what will 10 caps 
 
 ^^12^ If 3 pairs of shoes cost 6 dollars, what will 
 
 8 P^^^^j^^^^^^ ^^^, ,,,n 18 doUars a week, how 
 many dollars can 8 men earn in a week ? 
 
 14. If 3 candies cost 6 cents, what wiU .^ 
 
 '^If IfTcIves cost 16 dollars, what will 9 calves 
 """"iG. If 4 sheep cost 12 dollars, what will 12 sheep 
 
 ^""iV. If 4 men cut 8 cords of wood, how many 
 
 cords will 9 men cut ? . ^\ -m 
 
 18 If 7 quarts of milk cost 35 cents, what will 
 
 ^ T9''^HoTmanv coats can be cut out of 36 yards 
 of cloth, if 4 coats can be cut out of 12 yards oi 
 the same kind of cloth? ^ . .. 
 
 20. What will 30 pounds of sugar cost, U 
 
 pounds cost 30 cents ? .4. ;f c r^rimida 
 
 21. Whatwilll8poundsof vealoost,if6pOui^a^ 
 
 cost 42 cents? ^ . , -ri r. 
 
 5>2. What wiU 13 pounds of pork cost, li t) 
 
 pounds cost 48 cents ? 
 
 
48 
 
 MULTIPLICATION AND DIVISION. 
 
 f 
 
 IS 
 
 23. What will 20 weeks* board come to, if 6 
 weeks' board conies to 12 dollars ? 
 
 24. What will be the cost of 25 bushels of 
 applet, if 9 bushels cost 90 cents ? 
 
 25. "What will 14 pounds of cheese cost, if 8 
 pounds cost 40 cents ? 
 
 26. If 6 men can do a certain piece of work in 
 18 days^ in how many days can 12 men do tlie 
 same work ? 
 
 27. Gave for a quantity of cotton 72 dollars, and 
 sold it for 12 yards of cloth ; how much did the 
 cloth cost a yard ? 
 
 28. What cost 10 cows, if 3 cows cost 45 dollars ? 
 
 29. If 4 oranges are worth 16 apples, how many 
 apples are 12 oranges worth? 
 
 30. How many men can, in 4 days, do as much 
 work as 8 men can in 7 days ? 
 
 ' 31. How many men can, in 3 days, do as much 
 work as 9 men in 5 days ? 
 
 32. How many days will it take 5 men to do 
 what it takes 6 men 10 days to perform ? 
 
 33. What will 12 pounds of fish cost, if 8 pounds 
 cost 72 cents ? 
 
 34. What will 15 yards of cloth cost, if 7 yards 
 cost 35 dollars ? 
 
 35. What cost 14 geese, if 9 cost 72 dimes ? 
 
 36. What cost 13 locks, if 7 cost 70 cents ? 
 
 37. What cost 16 ducks, if 5 cost 100 cents? 
 
 38. How far can a boy travel in 9 days, if in 7 
 days he travel 63 miles ? 
 
 39. How far could a man ride for 120 cents, if 
 for 40 cents he could ride 8 miles ? 
 
 f!^ 
 
 •igmim^'' 
 
COMPOUND DENOMINATE 
 
 NUMBERS. 
 
 Lesson I. 
 
 Table of United States Cubrenct. 
 10 Mills make 1 Cent, marked ct 
 
 10 Cents " 1 l>inie, d^- 
 
 10 Dimes, or ) « ^ Dollar, " $• 
 
 100 Cents i , ^ i n v 
 
 10 Dollars 1 Eagle, ■''" 
 
 1 dollar^ 
 
 1. How many mills in 6 cents ? 
 
 Analysis Ist.-Ih 1 cent there are 10 mills, therefore 
 10 tfmeX number of cents equal the number of mills. 
 10 times 6 are CO mills. 
 
 Analysis 2ND.-In 1 cent there are 10 mills, and in 6 
 cents there are 6 times 10, Avhich are 60 miUs. 
 
 2. How many mills in 1 cent? in 2 cents? in 3 
 cents ? in 4 cents ? in 5 cents ? „ , . o 
 
 3. How many cents in 1 dime? in 3 dimes? 
 in 4 dimes ? in 2 dimes ? in 5 dmies ? m 6 
 
 dimes? ^ i n o 
 
 4. How many dimes in 1 doUar? in 2 dollars? 
 in 4 doUars ? in 3 dollars ? in 7 dollars ? m 8 dol- 
 lars ? in 9 dollars ? in 6 dollars ? 
 
 5 How many doUars in 1 eagle ? in 4 eagles i 
 in 3 eagles ? in 5 eagles ? in 9 eagles ? 
 
50 
 
 COMPOUND NUMBERS. 
 
 G. In 50 mills how many cents ? 
 
 11 
 
 Analysis.— There are 10 mUlw in 1 cent, therefore one- 
 tenth of the number of milb equals the number of cents, 
 One-tentli of 50 in 5 cents. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 11. 
 12. 
 13. 
 14 
 15. 
 16. 
 17. 
 18. 
 
 In 20 
 In 30 
 In GO 
 In 70 
 In 80 
 In 00 
 In 20 
 In 30 
 In 90 
 In 80 
 In 40 
 In 60 
 
 mills how many cents ? 
 cents liow many dimes ? 
 cents how many dimes ? 
 cents how many dimes ? 
 cents how many dimes ? 
 cents how many dimes ? 
 dimes how many dollars ? 
 dimes how many dollars ? 
 dimes how many dollars ? 
 dimes how many doUars ? 
 dollars how many eagles ? 
 dollars how many eagles ? 
 
 po 
 po 
 
 ai 
 
 ai 
 
 Lesson II. 
 
 Table of English Mosey. 
 
 4 Farthings [tjr.] make 1 Penny, marked d. 
 12 Penes " 1 Shilling, " a. 
 
 - 20 Shillings " 1 Pound, " £. 
 
 1. How many pence in 5 shillings ? 
 
 Analysis. — In one shilling tliere are 12 pence, therefore 
 12 times the number of shillings equal the number of pence 
 12 times 5 are 60 pence. 
 
 2. How many farthings in 2 pence? in 4 pence? 
 in 7 pence ? in 5 pence ? in 9 pence ? 
 
 3. How many pence in 4 shillings ? in 3 shil- 
 lings ? in 7 shillings ? in 8 shillings ? 
 
COMPOUND NUMBERS. 
 
 M 
 
 4 How many shillings in 2 ponncls ? in 4 
 ponnds ? in 3 pounds ? in 7 pounds ? m 8 
 
 pounds? 
 
 5. How many farthings in 2 shillrngs, 2 pence 
 
 and 2 farthings ? , ^ , .„• o 
 
 6. How many pence in 1 pound, 6 shilUngs r 
 
 7. How many farthings in 1 pound, 2 shiUinga 
 and 3 pence? 
 
 Lesson ni. 
 
 Table OF Troy WFJOirr. 
 
 84 Grains [gr.] rrmke 1 Pennyweight, marked M. 
 20 Pennyweights " 1 Ounce, ^^ oz. 
 
 J2 Ounces " 1 Po^^'** "^' 
 
 1 How many grains in 2 penny weights ? 
 
 AvATTSis —There are 24 grains in 1 penny weight, there- 
 fort 24 S the n^mb^^ 
 of grains. 24 times 2 are 48 pennyweights. 
 
 2. How many pennyweights in 2 ounces ? in a 
 ouncee ? in 6 ounces ? 
 
 3. How many ounces in 2 pounds? m 4 pounds^ 
 in 5 pounds ? 
 
 4. How many pounds in 60 ounces? 
 Analysis —There are 12 cunces in 1 pound, therefore 
 
 onttweSh of tie number of ounces equals the number of 
 pounds. One-twelfth of 60 is 5 pounds. 
 
 5. How many ounces in 80 pennyweights? 
 
 6. How many pounds in 84 ounces ? 
 
'^■n-^i 
 
 $2 
 
 COMPOUND NUMBERS. 
 
 i 1 
 
 X 
 
 \4 i 
 
 Lesson IV. 
 
 Table of Apothecaries' Wegiht. 
 ■20 Grains [gr.] make 1 Scruple, marked 3 
 
 (< 
 
 (( 
 
 z 
 lb 
 
 3 Scruples '« i Dram, 
 
 8 Drams « i Ounce, 
 
 12^ Ounces " j Pound, 
 
 1. In 3 scruples how many grains ? 
 
 2. In 4 drams how many scruples ? 
 o. In 3 pounds how many scruples ? 
 
 4. In 5 drams and 2 scruples how manv 
 grams ? ^aujr 
 
 5, In 1 pound 3 scruples, how many grains 
 
 b. In 2 drams, 3 scruples and 4 grains, ho\r 
 many grams ? 5 , lauw 
 
 7. In 48 drams, how many ounces ? 
 
 8, In 96 drams, how many pounds ? 
 
 Lesson V. 
 
 Table of Advoiedupois "Wi^ght 
 
 25 &s . 1 ^Qr4 :: ^/; . 
 
 • 1- How many drams in 1 ounce ? in 2 ounces ? 
 m 5 ounces ? m 4 ounces ? 
 
 ^ 2, How many ounces in 2 pounds ? in 3 pounds ? 
 in 4 pounds ? in 5 pounds ? ^ ' 
 
 3 How many pounds in 2 quarters ? in 3 quar- 
 ters ? m 4 quarters ? in 8 quarters ? 
 
COMPOUND NUMBERS. 
 
 53 
 
 4 How many quarters in 2 hundred-weiglit ? 
 
 5. How many hundred-weight in 4 tons? m 
 
 3 tons? in 5 tons? 
 
 6. How many ounces in 32 drams ? 
 
 7. How many pounds in 48 ounces ? 
 
 8. How mp-ny quarters in 75 pounds ? 
 
 9. How many hundred-weight in 12 quarters ? 
 lb. How many tons in 60 hundred weight ? 
 
 aany 
 
 ho\r 
 
 vt. 
 
 r 
 
 les? 
 ds? 
 lar- 
 
 Lesson VI 
 
 Table of Cloth Meastjbe. 
 
 2i Tnclies [in.] make 1 Nail, marked na. 
 
 f Nails ;; iQuarter-ofayard, " qr • 
 
 4 Quarters " 1 Yard, 2/a- 
 
 NoTE.--The Flemish. EngUsh and Frenc'i ells are no lodger used. 
 
 1. In 1 yard how many quarters? 
 
 2. In 3 yards and 3 quarters how many quai- 
 
 ters? 
 
 3. In 3 quarters how many nails ? 
 
 4. In 2 qr. and 3 na. how many nails ? 
 
 5. In 2 yards how many nails ? 
 
 6. In 3 yards how many quarters ? 
 
 7. In 32 nails how many yards ? 
 
 8. In 64 nails how many yards ? 
 
 9 In 3 yards and 3 quarters how many quarters f 
 lb. In 4 yards and 2 quarters how many 
 
 quarters 
 
 11. In 4 yards and 5 quartci:s how many quar- 
 ters? 
 6 
 
Ua^ 
 
 '?m^ 
 
 54 
 
 COMPOUND NUMBEBfif. 
 
 3 
 
 12 Inches 
 
 3 Feet 
 
 5J Yards, or 164 Feet 
 40 Rods, or 220 yards 
 
 8 Furlongs 
 
 3 Miles 
 
 60 Geographic, or ) 
 694 Statute Miles j 
 360 Degrees 
 
 Lesson VH 
 
 Table of Long Measctie. 
 
 Inch, 
 
 Foot, 
 
 Yard, 
 
 Rod. 
 
 Furlong 
 
 Mile, 
 
 League, 
 
 Degree, 
 
 Barley-€oms [ftc] make 1 
 
 1 
 
 xnorked in^ 
 A 
 
 ret. 
 fur, 
 
 tni. 
 
 deg. or' 
 
 the Circumference of the earth* 
 
 1. In 2 yards how many inches ? 
 
 2. In 4 rods how many yards ? 
 
 3. In 3 feet how many barley-corns ? 
 
 4. In 2 furlongs how many yards ? 
 
 5. In 4 miles how many rods ? 
 
 6. In 190 inches how many yards ? 
 
 7. In 320 rods how many miles? 
 
 8. In 48 furlongs how many leagues ? 
 
 9. In 5280 feet how many miles? 
 10. In one mile how many feet ? 
 
 Ill 
 
 Lesson VUL 
 
 ;?ABLE OF LAND OR SQUARE MEAStJRE. 
 
 144 Square in. [sq. in.'] make 1 Square foot, marked sq. ft. 
 9 Square feet 
 
 30^ Sq. yd., or 272i ft. 
 40 Sq. rod, or poles 
 4 Roods 
 640 Acres 
 
 1 Square yard, 
 
 1 Square rod, 
 
 1 Rood, 
 
 1 Acre, 
 
 1 Squaremile, 
 
 
 sq.yd. 
 sq. rd. 
 B. 
 A. 
 sq.Jf. 
 
 1. In 2 square feet how many square inches ? 
 
COMPOUND -NUMBERS. 
 
 65 
 
 2. In 2 square feet how many square inches ? 
 
 3. In 27 sq. ft. how many square yards ? 
 
 4. In 1 square rod how many square feet ? 
 
 5. In 1 acre how many rods ? 
 
 6. In 4 acres how many rods ? 
 
 or' 
 
 L. 
 
 Lesson IX. 
 
 Table cf Solid or Cubic Measure. 
 1728 Cubic in. [cm. in.'] make 1 Cubic foot, marked cu.ft. 
 27 Cubic feet "1 Cubic yard, " - cu. yd. 
 
 40 ft. round tim., or) «« ^ Ton ** T. 
 
 60 ft. hewn timber j * 
 
 16 Cubic feet *' 1 Cord foot, " c.fi. 
 
 ^ o5 S^'l^ %^\ """"l "1 Cord of wood, " cd. 
 
 128 Cubic feet ) 
 
 A pile of wood 8 feet long, 4 feet wide, and 4 feet high, is a 
 
 ccord. 
 
 1. In 2 cords how many cord feet ? 
 
 2. In 2 cords how many cubic feet ? 
 
 3. In 3 cubic yards how many cubic feet ? 
 
 4. In 256 feet how many cords ? 
 
 5. In 54 cubic feet how many cubic yards ? 
 
 ^.yd. 
 q. rd. 
 R. 
 A. 
 
 I? 
 
 Lesson X. 
 
 Table of Wine Measure. 
 
 4 Gills [^i.] 
 
 2 Pints 
 
 4 Quarts 
 314 Gallons 
 
 42 Gallons 
 
 €3 Gallons, or 2 barrels 
 
 2 Hogsheads (126 gallons) 
 
 2 Pipes, 4 hhds., or 252 gals. 
 
 make 1 Pint, 
 
 1 
 1 
 1 
 1 
 1 
 1 
 1 
 
 Quart, 
 
 Gallon, 
 
 Barrel, 
 
 Tierce, 
 
 Hogshead, 
 
 Pipe, 
 
 Tun, 
 
 marked ^it 
 qt. 
 
 gal 
 bhl. 
 ti. 
 
 hhd. 
 pi. 
 T. 
 
' —"m^mtf. 
 
 H 
 
 COMPOUND NUMBERS. 
 
 1. How many gills in 4 pt ? in 5 pt. ? in 3 
 pt.? 
 
 2. How 
 
 3. How 
 5 gal. ? 
 
 4. How 
 
 5. How 
 
 6. How 
 
 many pints in 3 qt. ? in 2 qt. ? in 5 qt.? 
 many quarts in 2 gal. ? in 4 gal. * in 
 
 many gallons in 2 tier. ? in 3 tier. ? 
 
 many gallons in 2 hhd. ? in 3 lihd. ? 
 
 many liogsl^e^.ds in 2 pipes ? in 4 
 
 pipes ? 
 
 7. How many gills in 1 qt. ? in 3 qt. ? in 5 qt ? 
 
 8. How many pints in 3 gal. ? in 4 gal. ? 
 
 9. How many pints in 1 pipe ? 
 
 10. How many qts. in 32 gills ? in 64 giUs ? 
 
 11. How many gallons in 32 pt. ? in 16 pt,? 
 
 12. How many gallons in 64 gills ? 
 13 How many hogsheads in 504 qts.? 
 
 Lesson XI. 
 
 Table of Dry Measfiie. 
 
 2 Pints [pt. ] make 1 Quart, 
 8 Quarts " 1 Peck, 
 
 4 Pecks " 1 Bushel, 
 
 6 Bushels " 1 Quarter, 
 
 36 Bushels ** 1 Chaldron, 
 
 marked qt. 
 ph, 
 hu, 
 qr. 
 ch. 
 
 (( 
 
 
 (< 
 
 1. In 2 quarts how many pints ? 
 
 2. How many pints in 3 qt. ? in 4 qt.? 
 
 3. How many pints in 1 pk.? in 2 pk.? 
 
 4. How many qt. in 3 pk. ? in 5 pk. ? 
 
 5. How many qt. in 2 biu ? in 3 bu. ? 
 
 6. How many bu. in 8 pk. in 20 pk. ? 
 
COMPOUND NUMBERS. 
 
 57 
 
 7. How many pecks in 16 qt.? in 24 qt.,? 
 
 8. How many qt. in 12 pt? in 18 ptJ 
 
 9. How many pecks in 64 pt.? in 32 pt. 
 
 10. How many bu. in 32 qt.? in 64 qt? 
 
 11. How many pecks in 1 chaldron ? 
 
 12. How many quarts in 1 chaldron ? 
 
 Iiesson XIL 
 
 60 Seconds [«ec.] 
 60 Minutes 
 24 Hours • 
 
 7 Days 
 
 4 Weeks 
 
 12 Calenclar months 
 52 Weeks 
 
 make 1 Minute, marked mi. 
 
 
 1 Hour, 
 1 Day, 
 1 Week, 
 1 Month, 
 1 Year, 
 1 Year, 
 
 (I 
 
 hr. 
 
 da. 
 
 wh. 
 
 mo. 
 
 yr. 
 
 yr. 
 
 The following table exhibits the names of the 
 months, and the number of days in each :— 
 
 Names. 
 
 1st month, January, 
 " " February, 
 
 March, 
 
 April, 
 
 May, 
 
 June, 
 July, 
 August, 
 
 September, 
 
 October, 
 
 November, 
 
 Days. 
 
 31. 
 
 28, in leap-year, 29^ 
 
 31. 
 30. 
 31. 
 
 30. 
 31. 
 81. 
 
 30. 
 31. 
 30. 
 
 (( 
 
 December, 31. 
 
68 
 
 COMPOUND NUMBERS. 
 
 The following lines may aid in rememberins the 
 number of days in each month : — 
 
 "Thirty days hath September, 
 April, June, and November; 
 All the rest have thirty -one, 
 Excepting February, all alone. 
 Which hath twenty-eight in fine, 
 Except in leap-year, twenty-nine. " 
 
 1. Name the Winter months, and the number 
 
 of days in each month. 
 
 2. Name the Spring months, and the number 
 
 of days in each month. 
 
 3. Name the Summer months, and the number 
 
 of days in each month. 
 
 4 Name the Autumn months, and the number 
 
 of days in each month. . . o • ^ 
 
 5. How. many seconds in 2 mmutes ? m 4 
 
 minutes ? in 3 minutes ? . o i, o 
 
 6. How many minutes in 2 hours ? m o hours f 
 
 in 4 hours ? ^ ^ • r a o \ 
 
 7. How many hours in 2 days ? m o aays ? lu 
 
 3 days ? in 4 days ? , . . . i o 
 
 8. How many days in 3 weeks ? m 4 weeks ? 
 
 in 6 weeks ? in 2 weeks ? , , . ^ ,. , 
 
 9. How many weeks in 4 months? m b montns f 
 in 3 months ? in 2 months ? in 5 months ? 
 
 10. How many weeks in 2 years ? 
 
 11. How many months in 6 years ? 
 
COMPOUND NUMBERS. 
 
 59 
 
 2 the 
 
 imber 
 amber 
 amber 
 umber 
 ? in 4 
 tiours ? 
 ys? iu 
 .veeks ? 
 lontlis? 
 
 12. How many minutes in 180 seconds? in 
 
 240 seconds ? ' . 
 
 13. How many hours in 120 mmutes ? m 6b0 
 
 minutes? 
 
 14. How many days in 48 hours ? in 96 hours ? 
 
 in 72 hours ? 
 
 15. How many weeks in 21 days ? hi 28 days ? 
 
 in 49 days ? , ^ • o.i 
 
 16. How many months in 12 weeks ? m ^4 
 
 -weeks ? in 36 weeks ? 
 
 17. How many hours in 3600 seconds ? 
 
 18. How many weeks in 168 hours ? 
 
 19. How many months in 52 weeks ? 
 
 550. How many days in 3 weeks and 3 days ? 
 21. How many hours in 4 days and 4 hours ? 
 
 Lesson XIIL 
 
 T.VBLE OF CniCULAll MOTION 
 
 60 Seconds (") make 1 Minute, marked 
 
 60 Minutes ♦* 1 Degree, " 
 
 80 Degrees " 1 Sign, 
 
 12 signs, or 3C0 Degrees " 1 Circle, 
 
 sign. 
 
 a 
 
 1. How many degrees in 2 circles ? 
 
 2. How many minutes in 1 sign ? 
 
 3. How many seconds in 1 degree ? 
 
 4. How many degi-ees in 8 signs ? 
 
 5. If there are 60 miles in 1 degree, how- many- 
 miles in 4 degrees ? 
 
 6. How many degrees in 12 signs ? 
 
60 
 
 COMPODND NUMBERED. 
 
 Lesson XIV. 
 
 MISCELLANEOUS TABUES. 
 
 Advoirdupois Weight. 
 
 A gallon of train-oil weighs 
 
 A stone of wire ' 
 
 A stone of iron, or horseman's weight, is 
 
 A peck of salt weighs 
 
 A bushel of salt 
 
 A lirkin of butter 
 
 A quintal of fish 
 
 A faggot of steel 
 
 A barrel of flour 
 
 A barrel of beef or pork | * 
 
 A barrel of potash 
 
 A fother of lead 
 
 Long Measure. 
 
 4 Inches make 1 Hand. Used for meas. horses. 
 
 iUsed by sailors for 
 meas. ropes, the depth 
 of water, &c. 
 7^^ Inches make 1 Link of a surveyor's chain. 
 100 Links, or 66 feet, or 4 rods, make 1 chain. 
 80 Chains, or 320 rods, or ) «« , -i 
 
 1760 yards, or 5280 feet i ^^ 
 
 Solid Measure. 
 231 cubic inches make 1 Wine gallon. 
 282 cubic inches make 1 Beer gallon, 
 cubic inches make 1 Bushel. 
 
 
 (< 
 
 (C 
 
 
 74 
 
 lb. 
 
 104 
 
 (( 
 
 14 
 
 << . 
 
 14 
 
 t< 
 
 56 
 
 << 
 
 5a 
 
 (( 
 
 100 
 
 {< 
 
 120 
 
 (< 
 
 196 
 
 (( 
 
 200 
 
 « 
 
 200 
 
 i< 
 
 19cwt.2qr3. 
 
 21501^ 
 
 Liquid Measure. 
 
 10 Gallons make 1 
 18 Gallons make 1 
 42 Gallons make 1 
 84 Gallons make 1 
 9 Gallons make 1 
 18 Gallons make 1 
 86 Gallons make 1 
 54 Gallons make 1 
 108 Gallons make 1 
 
 Anker. 
 Eundlet, 
 Tierce. 
 Puncheon. 
 Firkin of beer. 
 Kilderkin of beer. 
 Barrel of beer. 
 Hogshead of beer. 
 Butt. 
 
COMPOON0 NUMBERS. 
 
 61 
 
 Table. 
 12 Single thinp make 1 Do«n, marked ^. 
 
 iiaiudo.)'. oSGn«. ;; V 
 
 20 Single things " 1 Score, 8^- 
 
 5 Scoter ^^^• 
 
 Table OF Pa* £11. 
 24 Sheets of paper make 1 Qniro. 
 20 Quires ** 1 5^^™: 
 
 20 Quires 
 
 2 Beams 
 
 10 Reams 
 
 
 1 Bundle. 
 1 Bale. 
 
 Table of Parchment. 
 
 12 Skina °i^^« ^ ^^'^^ 
 
 6 Dozen, or 60 Skins 
 
 «< 1 Roll. 
 
 size. 
 <( 
 
 <( 
 
 «( 
 
 Table of Books. 
 
 When a sheet of paper makes : 
 2 leaves or 4 pages, the book is called ^foUo 
 \ leaves' or 8 ?ages the hook is called a quarto 
 t leaves' or 16 mges, the hook is called ^nodavo^ 
 if ^eaves' or 24 pales the hook is called a duodecimo 
 is leaves', or 36 p^es', the hook is called an Cf/Weamo 
 
 Arithmetical Signs. 
 1 The symbol + is called flus, and is the sign cf 
 addition ^us, 2 + 4 indicates the addition of 2 
 
 """"^ The svmbol - is called min^*, and is the sign of 
 snbii^tfon^ Thus, 5 - 2 indicates the subtraction of 2 
 
 ^TThe symbol X is the sign of -i^^tipU^^^^^^^^^ 
 
 3 X 5 indicates that 3 is to be multiplied by 5, or o 
 
 ^^4The symbol - is the sign of division. Thus, 8 -4- 2 
 
 indicates the division of 8 by 2. ^nn«1itv Thus, 
 
 5. The symbol = is the sign of equality, inus, 
 
 4 4. 6 = 10. 
 
62 
 
 COMPOUND NUMBERS. 
 
 Aliqtjot, oil Equal Par73 op a Dollail 
 
 il 
 
 100 
 76 
 50 
 33i 
 25 
 124 
 10 
 
 6i 
 
 6 
 
 4 
 
 2 
 
 1 
 
 cont3 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cents 
 
 cent 
 
 = 1 dollar. 
 
 = J ^three-fourths) 
 
 ^ (one-half) 
 = { (one-third) 
 = \ (one-fourth) 
 = 5 (one-eighth) 
 = ^y (one-tenth) 
 = ^ (one-sixteenth) 
 = j^y (one -twentieth) 
 ^ (one-twenty-fifth) 
 ^ (one-fiftieth) 
 j^ij (one-hundredth) 
 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar, 
 of a dollar. 
 
 New York Cubrency. 
 
 s. D. 
 
 are G\ cts. 
 
 1 are 12. ^ cts. 
 
 1 6 are 18| cts. 
 
 2 are 25 cts. 
 
 2 6 are 31 J cts. 
 
 3 are 374 cts- 
 
 3 6 are 43j cts. 
 
 4 arc 50 cts. 
 
 Aliquot, or Equal Parts of a Month, 
 
 83 <lay3= 1 month. 
 15 day3= 4 (one-half) 
 10 day3= I (one-third) 
 
 6 days= i (one-fifth) 
 
 5 day3= h (one sixth) 
 
 3 days= ^ (one-tenth) 
 
 2 days=.^ (one-fifteenth) 
 
 1 day = TjV (one-thirtieth) 
 Aliquot, or Equal Parts, oj- a Year. 
 
 of a month, 
 of a month, 
 of a month, 
 of a month, 
 of a month, 
 of a month, 
 of a month. 
 
 12 
 
 6 
 4 
 8 
 2 
 1 
 
 months = 
 months = 
 months = 
 months = 
 months = 
 month = 
 
 year. 
 
 (one-half) 
 (one-third) 
 (one-fourth) 
 (one-sixth) 
 ^ (one-twelfth) 
 
 of a year, 
 of a year, 
 of a year, 
 of a year, 
 of a year. 
 
FRACTIONS 
 
 half 
 half 
 
 Lesson I. 
 
 1. Mary has 4 apples, and Sarah 1 half as many; 
 
 how many has she? , , i, ip „. 
 
 Analysis.— If Mary has 4 apples, and Sarah 1 halt as 
 
 m^yfX must have one-hal/of 4 apples, which is 2 
 
 apples. . ^ 
 
 2. Henry is 8 years old. and Harvey is i 
 as old ; how old is Har\^ey t , ^_ ^^, . 
 
 3. Martin has 6 marbles, and Matthew 1 
 as many ; how many has he ? „ , , « 
 
 4 If you divide 10 apples equally between 2 
 bovs what part of them will each receive ? 
 
 5.' What is 1 half of 10? 
 
 C If an orancre cost 12 c^nts, and a -omon 1 
 half as much, what was the cost of j^e lemcm? 
 
 7. If 3 apples cost 6 cents, what part of 6 cent^ 
 will 1 apple cost ? 
 
 8. What is 1 third of 6 ? ^ ^ o . p in 9 
 
 9 What is 1 half of 4? of 6 ? of 8 ? of 10 ? 
 of 12 ?on4? of 16? of 18? of 20? of 24 
 
 10 If 3 oranges cost 9 cents, what part ot J 
 cents wiU 1 orange cost ? what part of 9 cents will 
 
 'nThatis'lthirdof3?of6?of9?ofl2?of 
 15? of 21? of 24? of 27? of 30? 
 
 12. If 1 quart of nuts cost 12 cents, what wiU 
 1 third of a quart cost ? 
 
64 
 
 FRACTIONS. 
 
 13. If 1 ton of hay cost $15, what 'mil 1 third 
 
 of a ton cost ? . «< i. i «4. 
 
 14. If 1 bushel of apples cost 21 cents, what 
 
 will i third of a bushel cost ? ^ u 4. 
 
 15. If 1 yard of shalloon cost 24 cents, what 
 will one third of a yard cost ? ^ ^ i, <. 
 
 16. If 1 quart of vinepr cost 9 cents, what 
 will i third of a quart cost ? 
 
 17 If 1 pound of candies cost 12 cents what 
 part, of 12 cents will 1 third of a pound cost? 
 what part of 12 cents will 2 thirds of a pound 
 
 cost? , n^r... 
 
 18. Wliat is 1 third of 12 ^ 
 
 10. If 1 third of 12 is 4, what is 2 thirds 
 
 ■P 10 9 
 
 "^ 20. What is 1 third of G? 2 thirds of G? 4 
 thirds of G ? 3 thirds of 6 ? 5 thirds of G ? 
 
 21. If a baiTel of flour cost 9 doUars, what will 
 1 third of a barrel cost ? 2 thirds ? 
 
 22. What is 2 fourths of 12 ? 1 fourth of 12 ? 
 
 3 fourths of 12 ? ^.^ -, . -n 1 
 
 23. If a barrel of fish cost sS12, what will I 
 fourth of a barrel cost ? 2 fourths ? 3 fourths ? 
 
 4 fourths ? . ^ . .^ /./.a.1 r 1 r 9 '^ 
 
 24. mat is 1 fifth of 15? 2 fifths of 15? o 
 
 fifths of 15 ? 4 fifths of 15 ? 5 fifths of 15 ? 
 
 25. If a ton of hay cost $15, -wli^U ^i-Uw 
 of a ton cost ? 2 fifths ? 3 fifths ? 4 fifths ? 5 fifths ? 
 
 26. What is 2 tliirds of 24 ? 3 fourths ? 3 
 
 eighths ? 2 fourths ? „ „„ , „ . , , , „f rj. ? 
 
 27. Wliat is 3 fifths of 20 ? 7 eighths of 64 ? 
 
 4 sevenths of 56 ? 
 
FBACTIONS. 
 
 e& 
 
 27. What do you understand by 1 fourth ? 3- 
 
 fourths ? 
 
 ANSWER.--Wheii a thing is divided into fonr equal ports^ 
 1 of these parts is called 1 fouHh, and 3 of these imrta are 
 called Z fourths, 
 
 28. What do you understand by 2 fifths? 3 
 
 fifths? 4fifth8? ^ , ^ . , . 
 
 29. What do you understand by 3 sevenths ? 4 
 -evenths ? 5 sevenths ? G sevenths ? 
 
 30. How many thirds in 1 ? 
 
 81. How many fifths in 1 ? 
 
 82. How many fourths in 1 ? 
 
 83. How many tenths in 1 ? 
 
 84. How many ninths in 1 ? 
 35. How many twelfths in 1 ? 
 
 86. AVhat is 1 seventh of S28 ? 2 sevenths ot 
 $28? 3 sevenths? 4 sevenths? G sevenths? 5 
 
 sevenths ? 
 
 37. If a coat cost S20, and a pair of imntaloons 
 
 1 fourth as much, what is the cost of the pantaloons? 
 
 38. If a pound of cheese cost 9 cents, what will 
 
 2 thirds of a pound cost ? 
 
 39. If 12 oranges cost 3G cents, what part of 
 36 cents will one orange cost ? 2 oranges ? 4 
 oranges ? 3 oranges ? 5 oranges ? 9 oranges ? 8 
 
 oranges? „ ^« „ 
 
 40 AVliat is 1 tsvelfth of 36 ? 2 twelfths of 36 ? 
 
 5 twelfths of 36 ? 4 twelfths of 36 ? 6 twelfths of 
 
 36? 9 twelfths? 8 twelfths? 10 twelfths? 11 
 
 twelfths ? 
 
 41. Eachel has 14 primers, and Anthony 5 
 sevenths as many ; how many has he? 
 
66 
 
 FRACTIONS. 
 
 42. Abner is 15 years old, and Albert is 4 fifths 
 
 as old ; how old is he ? ^ i, k 
 
 43. Augustus has 40 cents, and Augusta has 5 
 eighths as'many ; how many has she ? 
 
 44 Martin had 25 marbles, and gave 3 fifths ot 
 them to Moses ; how many had he remammg, and 
 how many did he give to Moses; ? 
 
 45 Morgan had 21 lire-crackers, and NathaU 
 had 8 sevenths as many , how many had he ? 
 
 ^6. Matthew had 45 apples, and Marvm had 
 5 ninths as many ; how many had he ? • ^ 
 
 47. Dubois is 42 years old, and his l:t r is \) 
 sixths as old ; how old is he ? 
 
 48. A farmer, having 72 sheep, lost 1 ninth ot 
 them ; how many had he remaining ? 
 
 49. A man bought a horse for 60 doUars, and a 
 cow for 3 fifths as much ; what was the cost ot 
 
 the cow ? /^ • 1 J a 
 
 50 In a certain school there are 9 girls, and b 
 
 thirds as many boys ; required the number of boya. 
 
 and the number of boys and girls togeth'^r. 
 
 Less :n II 
 
 1 3 fourths of 12 are how many times 3 ? 
 ANALTSIS.-1 fourth of 12 is 3, and 3 fourths are 3 times 
 
 8 which are a 9 is as many times 3, as 3 is contained 
 ^^7which are 3 tmies. Therefore, 3 fourths of 12 m 2 
 times 3. • o q 
 
 2 2 thirds of 12 are how many tunes 2. i 
 a 2 thirds of 15 are how many times 2 ? 
 
FRACTIOITS* 
 
 67 
 
 r 
 
 4 9 thirds of 24 are how many times 4? 
 t 1 SL of 12 are how m«.y ^- 6? 
 
 6 2 fourths of 16 are how manj tm^- J^^ 
 
 7 3 fourths of 16 are how M ^f 7V 
 R o thirds of 21 are how many times 1 . 
 q o thSds of 30 arc how many times 5? 
 
 in 2 thkds of 27 are how many times 6? 
 M- ', tSrths of 24 are how many times 9 ? 
 to ^- Whs of 36 are how many times 9 ? 
 \\ o Shs of 30 are how many ti^nes 6 ? 
 i-ii" -^ fourths of ?8 are how many tunes 1% 
 • It 3 fifth of 20 are how many times 6 
 \t I fifths of 20 are how many times «> 
 
 17 1 fifths of 15 are how many timos 6 ? 
 
 18 t fifths of 20 are how many tunes 2? 
 iS: 3 2Xf 24 are how many™ 
 90 =i sixths of 60 are how many times - . 
 Il 2 i^hs of 72 are how -anyUmes^J? 
 22 2 sevenths of 42 are how W tmes - 
 oQ 1 cr-vpnths of 42 are how many times d. 
 fi \ evenhs o 70 are how many mes 0? 
 t 5 se^eX of 28 are how « ™ 2 
 
 fe, 5 eighths of 32 are how many times iu . 
 
 W fi eighths of 48 are how many times 12? 
 
 27. o eigmn!' 01 ^^^^^gg 2? 
 
 iint:o4 a Sman?times6? 
 
 lo. \ tltmis of 96 aie how ^m^^^^^ 
 ai- 7 piahths of 64 are how many times 4 
 nV ? sS of 54 are how many times 3 ? 
 ^1 7 fourths of 24 are how many tmies 6 ? 
 11 8 teS^ of 30 arc how « U^s 4? 
 35. 6 ninths of 72 are how many times 
 
 •y 
 
68 
 
 t^HACTIONS; 
 
 K 
 
 If 
 
 I 
 
 Lesson m* 
 
 1. 4 fifths of 14 are how many times 1 half 
 of 12? 
 
 2. 2 thirds of 12 are how many times 1 third 
 of 6? 
 
 3. 2 fourths of 20 are how many times 1 half 
 of 20? 
 
 4. 3 fourths of 16 are how many times 1 third 
 of 18 
 
 5. 3 fifths of 20 are how many times 1 fouf^l 
 of 24? 
 
 6. 3 fifths of 30 are how many times 1 half 
 of 18 ? 
 
 7. 4 fifths of 30 are how many times 1 eighth 
 of 64? 
 
 8. 3 fourths of 24 are how many times 1 fifth of 
 45? 
 
 9. 5 sixths of 54 are how many times 1 third of 
 9? 
 
 10. 2 thirds of 36 are how many times 2 thirds 
 of 9 ? 
 
 11. 2 thirds of 24 are how many times 2 thirds 
 of 6? 
 
 12. 2 fifths of 45 are how many times 2 fifths 
 of 15 ? 
 
 13. 3 fifths of 50 are how many times 2 sixths 
 of 18? 
 
 14. 6 eighths of 48 are how many times 2 fifths 
 of 15? 
 
 15. 8 ninths of 27 are how many times 1 fourth 
 of 24 ? 
 
 i 
 
FBACTIOSS. 
 
 e» 
 
 16. 7 eighths of 64 are how many times 2 sixths 
 °^n.'3 ninths of 108 are how many times 3 
 ^"ir4feve'Jhsof 84are how many times 4 fifths 
 of 30 ? 
 
 #' 
 
 Lesson IV. 
 
 1. If 2 thirds of an orange cost 4 cents, what 
 
 ■^oU i orange cost ? , 
 
 ' Analysis. -It 2 thirds of an orange cost 4 cents, 1 ttod 
 Jr'fU of 4 cent, which j two co^te-K^yl^^ 
 of an orange cost two ceiics, 3 tlyras, or i via ^ , 
 3 times 2 cents, which are G centB. 
 
 2. If 2 thirds of a melon cost 6 cents, what 
 
 win 1 thkd of a melon cost ? , a ^^a 
 
 3 If 3 fourths of a pound of sugar cost 9 cents, 
 what will I fourth of a pound cost ? 
 
 4 If 2 thirds of a pound of ginger rost 8 cents, 
 
 -n tVt£ota\='riee cost 12 cents, 
 
 ^ tVs tif :Kjrfiyhs of a harrel of 
 fish what will 1 fifth of a barrel cost ! 
 
 7 If 3 fourths of a pound of cinnainoncost 9 
 pontq what will 1 fourth of a pound cost 
 °' 8 What ^iill 1 sixth of a yard of cloth, cost, if 
 A six-ths of a Yard cost 120 cents ? , i „f 
 
 9 What will 1 seventh of a hogshead of 
 molasses cost, if 5 sevenths of a hogshead cost «lo ? 
 
70 
 
 FR AUCTIONS. 
 
 fti 
 
 I*' 
 
 10. If 2 thirds of a barrel of fisb cost $8, what 
 will one barrel cost ? 
 
 11. If 3 fourths of a bushel of wheat cost 9 
 dimes, what will- 1 bushel cost ? 
 
 12. If 4 fifths of a box of raisins cost 12 dimes, 
 what will 1 box cost ? 
 
 13. If 6 eighths of a yard of broadcloth cost 60 
 dimes, what will one yard cost ? -■ 
 
 14 If 3 fourths of a barrel of flour cost $6, what 
 will 1 barrel cost ? ' 
 
 15. If 2 fifths of a barrel of fish cost $8, w 
 
 will 1 barrel cost ? 
 
 16. If 3 fourths of a pound of cinnamon cost 1^ 
 cents, what will 1 pound cost ? 
 
 17. If 4 sixths of p barrel of sugar cost $12, 
 
 what will 1 barrel cost ? ^.^a -u .. 
 
 18. If 5 sevenths of a box of boots- cost $20, what 
 
 will 1 box of boots cost ? 
 
 19. If 4 ninths of a hogshead of molasses cost 
 $20, what will 1 hogshead cost ? 
 
 20. If 2 fifths of the cost of a waggon were- 
 what was the cost of the waggon ? 
 
 IS 
 
 '3 
 
 Lesson V. 
 
 of what number ? 
 
 1- 6 „ 
 ' Analysis.— If 2 thirds of some number is 6, 1 third of 
 that number is one-half of 6, which is 3. If one-third of 
 that number is 3, three-thirds, which is that niimber, la 
 3 times 3, whicli are nine. Therefore, 6 is two-thirds of 9, 
 
 2. 8 is § of what number ? 
 
 3.* 4 is § of what number ? 
 
 «•> 
 
 f* 
 
 1 
 
 ♦1 
 
 
- * 
 
 4. 10 is 
 
 5. 12 is 
 6." X2 is 
 7. 12 is 
 
 ■^C^iI2 is 
 
 ao. 
 
 ¥. ^' 
 
 25 W IS 
 26* is 
 20 is 
 30 is 
 36 is 
 36 is 
 
 I 
 
 2 
 
 ;i 
 
 3 
 
 2 
 :? 
 3 
 
 ? 
 
 6 
 
 2. 
 
 3 
 5 
 4 
 5 
 H 
 9 
 H 
 4 
 
 FRACTIONS. 
 
 of what 
 
 of v/hat 
 
 of wliat 
 
 of wliat 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 
 of what 
 of what 
 
 71 
 
 \ 
 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number ? 
 number 1 
 
 . ii 
 
 
 THE END. 
 
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 y 
 
 y 
 
/ 
 
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