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Lee dtagrammes suivants INustrant la mMwda. 1 2 3 1 2 3 4 5 ^ MKROCOPV nSOWTION TBT CHART (ANSI and ISO TEST CHART No. 2) /APPLIED IM/OE Ine 16S3 Eott Main StrMi Roch«it«r. Nm rork 1 4609 USA (716) 482 - 0300 - Phon« (716) 28a-S989-Fo> »• ARITHMETIC FOR THE GRADES roB TEACHING, DRILLING AND TESTING BOOK NUMBER TWO Numberafrom 1 to 100 TORONTO THE COPP. CLARK COMPANY, LIMITED 1902 P'ic ■J • ly ^ O. Entered Mcordiner to Act of the Parliament of Canada, in the vcar one thouMnd nine hundred and two, l.j Tiik Copp, Clark Cosh-ant, Ijhitmo, in the Office of the Minister of Agriculture. COPTMODT, 1888, 1902 Bt JOHN T, PRINCE PREFACE. In using the book, it is important for teachers to remember that the aims sought include (1) training pupils to perform the fundamental operations with rapidity and accuracy ; (2) developing the power of thought through the solution of problems ; (3) cultivating the language power through the careful reading of problems, and their careful and accurate solution. (1) Rapidity and accuracy of calculation require patient and syste- matic practice. It is suggested that in addition to the exercises here provided, there shall be much oral class work, and this in all the gr 'es. For it is possible for a pupil to be proficient in the junior grades, and to become slow and inaccurate later on. It is even possible for a pupil who knows the endings for purposes of addition and subtraction, to add by ones at a later stage. When it is remembered that in the solution of problems, the energy expended in calculation is so much energy lost to reasoning, it will be evident that pupils should be as perfect as possible in the semi-mechanical operations of addition, subtraction, multiplication and division. (2) The power of thinking is developed in pupils as they make the relations necessary to computation, and necessary to the solution of practical problems. All numerical relations, such as the 3's in 10, or the sum of 7 and 4, should be thought out, not learned by rote. The thinking out of these relations is quite an effort for y.jung people. It is to be understood that real work in arithmetic begins when pupils think the relations in number, rathec than discover them by observing groups of objects. To look at a group of five objects and say 6 = 2 + 3 is not to be compared with the thought process whereby a pupil says 2-H3-5, because 2-1-2 = 4 and 2-h3 is one more than 4, which is 6. (3) Thought is perfected through expression. One of the reasons why arithmetic is such a valuable school study is because it gives such an opportunity for exact expression of clearly-perceived trtith. The relations in arithmetic are all definite, and on this account the expres- sion can be accurate. It should be a rule in teaching, that a question is not solved when the answer is found. It is finished when the method of solution has been set forth in suitable language. CONTENTS. ncnoir I. Numbers from 1 to 20 (Review) n. Development of numbeiB to 100. First steps in Addition and Subtraction in. Addition and Subtraction. Units added to and subtracted irom numbers consisting of tens and units IV. Multiplication and Division with multipliers and divisors to 10. Fractional parts of numbers. Reviews and applications in common weights and measures . V. Previous work extended in adding, subtracting, multiplying l>y, and dividing by numbers beyond 10 VI. MisceUaueous exercises for appUcation and Review . FAOn 1-11 12-31 32-46 •'-73 74-90 91-103 SECTION I. NUMBEBS FROM 1 TO 20. (REVIEW.) EXERCISE 1. Add at sight: 1. 2. 3. 4- Ik 6. 2 3 4 5 6 7 8 5 6 _3 j4 ^ ^ J^ _8 ^ _8 ^ 9 9 2 4 6 3 8 7 8 ^ 2 ^ ^ ^ ^ 5 _7 ^ 6 3 4 8 5 7 3 6 9 _3 5 4 ^ _9 J 6 5 7 3 8 3 3 7 4 5 7 2 J( J_ 8 7 ^ _8 _5 ^ J7 2 4 3 2 5 7 6 9 7 ^ 9 3 4 ^ _6 _9 J ^ 5 3 4 2 3 4 7 2 6 5 3 1 7 4 3 2 5 4 3 6 5 2 7 3 4 7 2 2 9 3 3 6 5 2 7 6 :a EXERCISE 2. 1. 6 + 3- 9. 11 + 8 = 3, 18-9 = 4> 20-12 8 + 8 = 11 + 6 = 17-6 = 19-11 7 + 6 = 12 + 7 = 15-9 = 18-12 9 + 4 = 13 + 6 = 19-7 = 17-9 7 + 8 = 15 + 4 = 20-8 = 12- 8 S. 6. r. 8. 5 + 7 = 11 + 3 = 17-8 = 20-14 8 + 6 = 12 + 8 = 16-7 = 16-11 9 + 6 = 11 + 9 = 20-6 = 14- 8 7 + 9 = 9 + 9 = 18-5 = 18-10 10 + 8 = 9 + 8 = 16-9 = 20-11: EXERCISE 3. 1. Eight cards less six cards are — cards. 2. Nine books and seven books are — books. 3. Fifteen sleds less nine sleds are sleds. 4. Seven oranges and eight oranges are oranges. 5. Thirteen nails less ten nails are — nails. 6. Sixteen cents less twelve cents are cents. 7. Eight clocks and ten clocks are — clocks. 8. Twenty nuts less six nuts are — nuts. 9. Fourteen ships and six ships are — ships. 10. Twenty stoves less eight stoves are — stoves. EXERCISE 4. 8 1. In one quart there are — pints. 2. In five quarts there are — pints. 3. In six quarts there are — pints. 4- In ten quarts there are — pints. 6. In four quarts there are — pints. 6. In nine quarts and a pint there are — pints. 7. In seven quarts and a pint there are — pints. 8. In one gallon there are — quarts. 9. In five gallons there are — quarts. 10. In three gallons and a quart there are — quarts. ii. In four gallons and two pints there are — quarts. 12. At three cents a pint, two pints, or one quart, of milk will cost — cents. 13. At two cents a pint, two quarts of milk will cost — cents. 14' At four cents a pint, two quarts of milk will cost — cents. 15. If one quart of milk costs five cents, one gallon, or four quarts, will cost — cents. 16. A quart is — times as much as a pint, 17. k gallon is — times as much as a quart. A pint is of a quart. • BXBBCISB 5. 1. 4x5 = 9. 4x2 = 8. 9x2 = 4- 2x3 = ^ 2x9 = 3x4 = 5x4 = 5x3 = 3x2 = 7x2 = 2x5 = 2x8 = 4x4 = 8x2 = 4x3 = 3x5 = 2x 7 = 3x3 = 10x2 = 6x3 = h S. 20-r2 = 6. 14-7 = 7. 20-4 = 8. 15-3 = 1 18-^3 = 10-2 = 16-2 = 20-5 = 16-f-4 = 12-6 = 10-5 = 12-4 = 16-8 = 18-2 = 18-6 = 15-5 = 12-3 = 8-4 = 6-3 = 18-9 = 9. 10. 11. 12. 9x? = 18 8x? = 16 3x?= 9 5x? = 10 6x?=l8 5x?=20 2x?=18 2x? = 14 7x?=14 6x?=l2 3x?= 9 3x? = 18 4x? = 16 5x?=l5 2x?=20 4x? = 20 10x?=20 2x? = 12 18. 3x? = l2 9xi>= 9 13- f-2= — and — remainder. 17- -3= — and — remainder. 19^ -6= — and — remainder. 20^ -8= — and — remainder. 1 19 -J -5= — and remainder. i EXERCISE 6. 5 1. Write the letters that stand for gallon or gallons; quart or quarts; pint or pints; gill or gills. 2. Write the letters that stand for year or years; month or months; week or weeks; day or days. 3. Write the letters that stand for dozen. 4> Write the letters that stand for foot or feet; for inch or inches. 1 gal.= — qt. 1 qt. = — pt. 1 pt. =— gi. 8. 3 qt. = — pt. 2 gal.= — qt. 1 gal.= — pt. 1 qt. =— gi. 6, yr. mo. 1 mo.=— wk. 1 wk.= — da. 2 3 9, wk.= mo.= iyr- i^yr. 11' 12. 1 qt. +1 pt.= 3 mo.-f-2 wk.= 3 qt. + 1 pt.= 2 wk.+ 3 da. = 7. 1 yd. =— ft. 1ft. =_in. 1 doz.=^ — things -da. -wk. - mo. -mo. A doz. I ft. = \ doz.= 10, -in. -in. - things - things 13. 1ft. +4 in. 1ft. -fSin. 2gal.+ lqt.= 4mo.+ 3wk.= 1 doz.+ 6 things = 4gal.+ lqt.= lyr. +4mo.= 1 doz.+ 8 things = V BXBBdSB 7. 1. How many cents will you have to pay 10 5 pencils at 2 cents each? 2. Annie bought 8 cents' worth of thread and gave the store-kei, er 10 cents. How much did she receive back? S. Alfred had 18 marbles, and put them into three piles. How many in each pile ? 4' A line is 1 yard and 2 feet long. How many feet long is it? 5. John is 14 years old, and his sister is 20 How much older is the sister? 6. One boy caught 8 fishes, and another boy 12. How many fishes did they both catch ? 7. There were 15 roses on a bush, and 12 of them were picked off. How many remained? 8. 1 quart of milk at 3 cents a pint will cost — cents. 9. 1 pint of milk at 8 cents a quart will cost — cents. 10. 1 gal. of oil at 4 cts. a quart will cost what? 11. If from 2 quarts of milk there is taken 1 pint, there will be left — pints. 12. 2 gallons of milk in one pail, and 6 quarts in another, will make — quarts. 13. ^ pints of molasses and 4 quarts will make — pints in all. BXBBCI8B a o. 1 pint = — gills. b. 2 pints = — gills. c. 3 pints = — gills. d. 4 pints = — gills, c. 5 pints = — gills. 9, 20 gills are 16 gills are 12 gills are 8 gills are 4 gills are — pints. — pints. — pints. — pints. — pints. 5. If you measure 10 pints of milk into a pail, how many quarts will you have? 4' In 4| quarts of water how many pints? ^. If 6 pints of buttermilk cost six cents, what will one pint cost? 6. In a pail were 12 gills of berries. How many pints wei-e there? r. If a pail holds ^ gallon and 1 quart more, how many quarts does it hold? 8. How many pints in 20 gills? 9. How many gills in 4 pints? 10. What will 6 pints of milk cost at 2 cents a pint? 11. If milk costs 1 cent a gill, what is the cost per quart? 12. If 1 gallon of milk costs 12 cents, what IS the cost of a quart? 13. If 1 gallon of milk costs 16 cents, what is the cost of a quart and a pint? 8 BXBBGIBB 9. i. What three pieces of money, all diflferent, will make ten cents? ' v 2, Which is more, a dime, or a threeH5ent piece and 2 two-cent pieces. 3. Two dimes are — cents. 4' One dime, a five-cent piece, and a penny are — cents. 5. If John, Mary, Frank, and Bessie each have 5 cents, how much money have they all? 6. A little boy's coat cost 10 dollars, and his rocking-horse i as much. How much did his horse cost? 7. Nellie has 3 cents, and Jessie has 5 times as many. How many has Jessie? How many cents have Nellie and Jessie together? 8. Belle bought 3 oranges at 5 cents each. How much did she pay for them? Add, putting in for the last number in each example that which will make the result 20: 9. 10. 11. 12. IS. 14. 15. 16. 17. 18, 8539397739 2372765363 3624434575 20 20 20 20 20 20 20 20 20 "20 BZBBOIBB la O 1. How many legs have 3 cows? 2. What will 8 twoKjent stamps cost? S. How many inches long is a stick a foot and a half long? 4' What is the distance round the outside of a table that is 3 feet long and 2 feet wide? 5. 12 cents will buy how many two-cent stamps ? 6. How many quarts in 12 pint cupfuls? 7. If I walk 2 miles a day, how many miles shall I walk in a week? 8. Eight yoke of oxen are how many oxen? 9. 6 pairs of shoes are how many shoes? 10. If my hens lay 4 eggs a day, how many days will it take them to lay a dozen eggs? 11. What coins will make 18 cems? 12. If you buy a dozen eggs and use 8 of them, how many eggs will you have left? 13. How many legs have 3 flies? 14' How many shoes will 2 oxen need? 15. How many pairs of shoes will eight horses wear? 16. What will half a dozen eggs cost at 20 cents a dozen? 17. What will a dozen and a half eggs cost at the rate of a cent apiece? 10 BZBBCISB 11. i- A boy had 20 cents, and spent 8 cents How many cents had he left ? 2. Harry bought a dozen peaches, and gave away five peaches. How many had he left? 3. What will 2 quarts of milk cost at 20 cents a gallon? 3 quarts? 4. At 4 cents a pint, what will 2 quarts of milk cost? 5. How many inches are there in one-half of a foot? in one-third of a foot? 6. How many inches in one foot and a half? 7. In one pitcher there are 16 gills of milk. How many pints are there? 8 A mug holds two gills. How many gills will ten mugs hold, and how many pints would that be? 9. At 4 cents a pint, what will 12 eiUs of milk cost? 6 o ui 10. A little girl picked a gill of berries every day for ten days. How many pints did she nave ? 11. For 18 cents I can buy — pieces of blot- tmg paper at 2 cents apiece. Tell what you could get for 20 cents. 12. How many gallons of buttermilk will till a twelve-quart pail? ■XEBCISB 13. a I- How many days are there in 2 weeks? wiur ""^"^ ^"•'ool-days are the..e in 3 S. How many week-days a.^ there in 3 weeks? 4. It a boy earns half a dollar a day how "weekT" '* "™ " ' '''''' - « -'^ 'i» a. 10+1 = 11 lt+\u = \\ t£ 11 = It + lu h, 10+2= ? lt+2u= ? 12 = ? e. 10 + 3= ? l< + 3«*= ? 13 = ? d. 10+4= ? l<+4«*= ? 14= ? 6. 10+5= ? 1<+5m= ? 15= ? /. 10 + 6= ? l<+6%= ? 16 = ? ^r. lt+7= ? \t+lu= ? 17 = ? A. 10+8= ? 1^+8m= ? 18= ? I. 10 + 9= ? 1<+9m= ? 19 = ? ^. 18= ^. 19= ^. 16 = = 7. 17 = 13 = 14 = 11 = = 15 = ^. 4?/ + 3w = 7m P. 8m + 2w = 1^ 10. 8 «* + 4 «^ = 12 ?« = 1 < + 2 w ii. 9 w + 6 M = 15 ?« = 1 ^ + 5 t* i^. 7w + 8w=? = ? iJ. 6w + 8«*=? = ? 14' 2 times 5 ?^ = 10 w = 1 <. i«5. 3 times 4m = 12w = 1 t + 2 u 16. 4 times 3 w = ir. 2 times 8 M = 18. 3 times 6 «* = iP. 5 times 3 u = 20. 4 times 4 m = ? ? ? ? ? ? ? ? ? = ? 14 ► — • 1: 3« = EXBRCISB 3. m m 10+10+1= 2t+lu = 10+10+4= 2<+4u = ^ cm 10+10+8= 2«+8u = ( — St + 3« = St + 7tt= S. Draw squares representing 24, 36, 28 37 4- T. 20 + 1=21 b. 20+6= ? c. 20+8= ? d 30 + 5= ? c. 30+6= ? 2t+lu=2lu 2<+6w=26w 2^+8««= ? 3^+5«*= ? 3^+6w= ? 6. 21 = 2/+1m 26= ? 28= ? 35= ? 36= ? BXBRCISB 4. 16 1. —. -_ 4t = 8, b. 9m + 1m= ? c. 7u + 2u= ? d. 4:u + 6u= 7 4« + 4u= ^ ^ r 4« + Om = ^. ^. 4- a. 40+0= ? 4<+0m= ? 40= 5. 40 + 6= ? 4^+6m= ? 46 = c, 40 + 8= ? 4^+8«= ? 48= <^. 40 + 9= ? 4^+9e4= ? 49= .5^. 6. 7. a. 27 = 2^+7w 33 = 3<+3«« 27 = *. 34= ? 35= ? 19= c. 38= ? 29= ? 31 = d. 43= ? 43= ? 43 = c. 44= ? 40= ? 36= 9. 14?/ + 2w = 16w = l^ + 6w 19w+lw= ? = ? 27u + 2u= ? = ? 24w + 6m= ? = ? &t = 1SXBRCIBE 6. mm 6< + 4u= 6« + 8«s "^" — ■""■ ■"" k — — — •. — — L r - _ 8« = 6t + 6tt = S. Draw squares representing 52, 57, 63, 68. 4- a. 50 + 2 = 52 b. 50 + 7= ? c. 50 + 9= ? c?. 60 + 3= ? e. 60 + 6= ? 5t+2u = 52u 5t+7u= ? 5^+9m= ? 6^ + 3?^= ? 6^+6w= ? 5. 52 = 5^ + 2m 57= ? 59= ? 63= ? 66= ? BXBBCISB 6. 17 1, lt= It 9u = a. 70 + 2= ? 7^ + 2?«= ? 4^ 72= ? b, 70+7= ? 7t-h7u= ? 77= ? c. 70 + 8= ? 7t-{-8u= ? 78= ? «?. 70 + 9= ? 7< + 9tt= ? 79= ? .^r. (?. ;'. a. 51 = 5^+1?« 62=6i{ + 2^« 42 = 4< + 2«« ft. 63= ? 75= ? 58= ? c. 48= ? 69= ? 65= ? d. 56= ? 73= ? 50= ? e. 72= ? 60= ? 77= ? ^. 9. a. 6«« + 3«« = 9m 56w-i-3w = 5du = 5t+9u ft. 3w + 4w= ? 53 «* + 4 tt = ? = ? c. 2«« + 7m= ? 62w + 7w = ? = ? d. 5u'{-5u= ? 65u-\-5u=' ? = ? 18 BXERdSB 7. i.n '■ i ii; \l MM n — 17^ ffiB' 8« 5 us i^. I V ' ""*"■ "■^~- — ' " ■ ■ — ^ « ot = yt 3u = 3. Draw squares representing 82, 88, 94, 99. 4- a. 80 + 3 = 83 b. 80 + 7= ? c. 80 + 4= ? d. 80 + 9= ? e. 90 + 0= ? ,5'. 8^ + 3«« = 83i« 8^+7?/= ? 8^ + 4m- ? 8iJ + 9M= ? 9^ + 0m= ? 83 = 8i? + 3i< 87= ? 84= ? 89= ? 90= ? 1. a. 90 + 6= ? b. 90 + 4= ? c. 90 + 8= ? d. 90+7= ? e. 90 + 9= ? 4- a. 84 = 8^ + 4m b, 87= ? c. 93= ? d, 95= ? «. 4u + Su=7u b. Su-\-6u= ? c. 2u + 8u= ? «/. 1m+7%= ? BXBBCISB a 2. 9< + 6w= ? 9^ + 4w= ? 9^ + 8?/= ? 9^+7?/= ? 9^ + 9w= ? ^. 73=7^ + 3w 81= ? 78= ? 90= ? 10 A 96 = 94 = 98 = 97 = 99 = ? ? ? ? ? 58 = 5/ + 8«« 60= ? 96= ? 80= ? ^. 84?^ + 3i« = 87?< = 8^+7tt 83m + 3m= ? = j> 82«« + 8?^= ? = j> 91m + 7m= ? = ? fiO BXBBCIBB d. IM 1. Count and write numbers from 20 to 40; 40 to 60; 60 to 80; 80 to 100. 2. Count backwards and write numbers from 20 to 1; from 40 to 20; from 60 to 40; from 80 to 60; from 100 to 80. 3. "What do the figures stand for in each of the following: 16? (16 = 1 < + 6m); 38? 45? 62? 74? 83? 97? 70? 4. Write in figures twenty-four ; thirty-seven ; forty -one ; fifty ; seventy -nine ; sixty -eight ; ninety-five. 5. Separate into tens and units 38; 84; 69; 62; 78; 29; 40; 63; 80. 6. 7. 8. a. 20+1 = = 80 + 7 = = 1 dime = 10 cents. b, 30+2 = 90 + 8 = 1 dime +4 cts. = — cts c. 50 + 4 = = 20 + 3 = 4 dimes + 3 cts. = — cts d. 40 + 3 = = 40 + 5 = 2 dimes + 5 cts. = — cts e. 60 + 6 = = 70 + 6 = = 8 dimes + 6 cts. = — cts /. 50+1 = = 30 + 9= = 7 dimes + 2 cts. = — cts 9. 10. 11. 12. 13. 44 + 4- 62 + 5 = 34 + 4= 64 + 5= 54 + 5= 22 + 6 = 24 + 3= 23 + 6= 52 + 7= 72 + 6= 46+3 = 51 + 8= 62+7= 84+5= 91 + 6= 73 + 5= 80 + 6= 94+3= 73 + 6= 99 + 1= 1. BXBBCI8B la 2. 21 8, 23 -3 24- 4 36-6 -^~ " ^ S Si — ^ ^-v ^,m II— I ^ — !■■■ 46 68 -6 -8 4r. 6. 7. 83-3 = 38-8 = 27-7 = 76-6 = 42-2 = 86-6 = 8, *^ V ' v-«. __, 9. " ■ ^' " I ■■ 1^ — , — I... " 3^ + 2^ 30 + 20= 6^-2^ 60-20 33 BXBBCI8B IL i 1. «. 20+10= h. 40+10= c. 80 + 10= d. 20+20= e. 30+20= / 20 + 30= g. 40+20= /*. 50+10= 60+10= 40+30= 50+20= 20+40 = 40+40= 50+30= 60+20= 30+40= s. 1 . 7, 30+16 = 40 + 24 = 20 + 35 = 50 + 27 = 20 + 26 = 8. 42-20= 56-30= 63-30= S, 70+10= 30+50= 60+30= 70+20= 40 + 50= 70+30= 20+80= 60+40- 4> . 30-20= 60-10=- 40-30= 50-20- 40-20= 70-30= 80-40= 90-60= 54-20 = 9. 40 + 25 = 34 + 20= 56 + 20= 10. 67-40= 85-30= 64 + 20 47-20= 38 + 30= 52 + 30= 40+32= 86-30= 58-20= 88-20= BXBRCT3B 12. 1. ft. 20+10+4« b. 30+20+3= c. 20+40+6= d. 60+20+5= e. 40+40+1= / 70+20+5= g. 80+10+9= h. 30+40+8= i. 50+30+7= j. 60+30+2= S. a. 36-10= 24+10= 34+20= 24+30= 44+20= 63+10= 56+20= 48+30= 68+20= 47+30= 58+40= 6. 66-50= S. 38+30= 42+20= 67+30= 53+40= 28+40= 16+60= 35+50= 49+50= 23+60= 54+30= 7. 44-20= b. 56-20= 86-50= 62-20= c. 86-20= 96-30= 85-30= d. 46-30= 86-40= 94-30= e. 66-30= 76-50= 37-30= / 76-20= 96-60= 86-30= g. 86-30= 96-40= 73-60= h. 56-40= 86-70= «. 66-40= 28 10+35= 30+42= 20+64= 40+37= 80+16= 20+53= 50+48= 60+31= 30+58= 40+48= 8. 73-50= 55-40= 72-60= 66-30= 74-40= 82-30= 92-60= 96-70= 93-40= 9. 44 + 20-10 + 30+10-40- 10. 62-30 + 20- 89-50= 49-30= 11. 18 + 50-30 + 20-30- 40 + 50-10 + 20- 72-60= 40-30 + 50-60 = 40 + 50 = m 97-40 + 20-30- 30-20+60-40 + 20 = 40 + 60-50 + 30 + 40 = 24 BXEBCISE la 1. 2. 3. ^. a. 4+1 = 5 + 2 = 2 + 3 = 3 + 4 • 14+1 = 15 + 2 = 12 + 3 = 23 + 4 c. 24+1 = 25 + 2 = 22 + 3 = 43 + 4 d. 44 + 1- 55 + 2 = 42 + 3 = 83 + 4 e. 8+1 = 85 + 2 = 62 + 3 = 53 + 4 / 28+1 = 4 + 2 = 82 + 3 = 63 + 4 9- 45+1 = 24 + 2 = 6 + 3 = 14 + 4 h. 36 + 1 = 34 + 2 = 16 + 3 = 24 + 4 5. 6. . 7. 8. a. 4 + 5 = 12 + 6 = 2 + 7 = 1 + 8 b. 24 + 5 = 32 + 6 = 42 + 7 = 11 + 8 c. 64 + 5 = 62 + 6 = 12 + 7 = 21 + 8 d. 84 + 5 = 72 + 6 = 62 + 7 = 41 + 8 €. 11 + 5 = 33 + 6 = 11 + 7 = 61+8 / 31 + 5 = 63 + 6 = 21 + 7 = 31 + 8 9' 41 + 5 = 93 + 6 = 81 + 7 = 71 + 8 h. 91 + 5 = 73 + 6 = 31 + 7 = 41 + 8 • I. 13 + 5 = 11 + 6 = 72 + 7 = 51 + 8 9, 10. 11. 12. a. 14-1 = 14-3 = 18-6 = 49-8 b. 34-1 = 24-3 = 28-6 = 69-8 c. 44-1 = 64-3 = 68-6 = 78-6 d. 28-1 = 84-3 = 98-6 = 83-2 e. 69-1 = 17-4 19-7= 74-3= •I 1, 19+1- a. 9 + 1 = h. 19+1 = 8. EXEBCISE 14. 86 8. iE 26+4= ^. 7 + 3 = 47 + 3- V 1 40-6= 6. 4 + 6 = 34 + 6 = c. 29 + 1= 6 + 4= 64 + 6 = d. 89 + 1= 56 + 4= 3 + 7 = 7. 2 + 8 = 42 + 8 = 62 + 8 = 52 + 8 = c. 8 + 2= 76 + 4= 43 + 7= 1 + 9 = /. 28 + 2= ^^^=. 83 + 7= 61 + 9 = g. 38 + 2=. 25 + 5= 93 + 7= 91+9= 10, 11. 10-8= a. 16 + 4= 10-2= 10-5 = h, 63 + 7= 40-2= 50-5= 40-8 = c. 35 + 5= 60-2= 80-5= 100-8 = d. 87 + 3= 10-3= 10-6= 60-8 = e. 52 + 8= 30-3= 30-6= 10-9 = / 48 + 2 70-3= 50-6 = 40-9= flO EXERCISE 15. • i. 2. 8, ! a. 264-? = 30 100-? = 94 83 + ?= 90 b. 44 + ? = 50 70-? = 65 40-?= 36 c. 83H-? = 90 80-? = 72 74 + ?= 80 d. 724-? = 80 40-? = 33 60-?= 52 e. 43 + ? = 50 90-? = 86 93 + ? = 100 /• 16 + ? = 20 50-? = 46 72 + ?= 80 9- 87 + ? = 90 20-? = ll 80-?= 74 h. 484-? = 50 60-? = 58 60-?= 51 • I. 12 + ? = 20 30-? = 23 74 + ?= 80 • J- 74 + ? = 80 80-? = 74 83 + ?= 90 4. S. I. 1 hour = 60 minutes. 1 h.+ 30 min.= — min. 1 h.+ 24min.= — min. 1 h.+ 16 min.= — min. 1 h.— 10 min.= — min. 1 h.--40min.= — min. 1 year = 12 months. 1 yi'.+ 6 mo.= — mo. 1 yr.+ 8 mo.= — mo. 1 yr.+ 5 mo.= — mo. 1 y r. + 10 mo. = — mo. 1 yr.+ 7 mo.= — mo. 6. 1 dollar = 100 cents. $1 - 20 cts. = — cts. |1 - 40 cts. = — cts. $1 - 60 cts. = — cts. — 80 cts. = — cts. 7. 1 dozen = 12 things. 1 doz.+ 6 things = - 1 doz.+ lO things = - 1 doz.+ 8 things =- 1 doz.+ 3 things =- BXBBCISB 16. 2, J. If your father gives you 28 cents, and you spend 6 cents, how many cents will you have ^- K you have 60 cents, how many more must you have to make a dollar? S It you have 66 cents, and you spend half a dollar, how many cents will you have left ? 10 hours of the day, how many hours will you be awake? •' S. From a flock of 87 sheep 20 wem sold aow many sheep were left? 0. A boy bought a book for 17 cents, and dru:Sdf ■ '' '"'''■ «"- "'-' "-^ sneL^T'' "l"*'"'^ g''^^ '>«■■ ^ «ents, and she spent 30 cents. How „.„ch money had she and" l^'Z ""'"' ^^ ^''"''"^ °^ "''*<'■• i" » *»">, :l tf? " "'" *^'*^" ""*• """' "'-^ iL^,!''?ir"i ' V"'- -« "^y and 40 miles the next day. How far both days? did he go in JO. The school-room differenc wide. What 40 ft. long and 20 ft. in the two lengths? 28 EXERCISE 17. 1. In one pasture there were 23 cows, and in another 7 cows. In both pastures there were — cows. 2. One pail of milk held 10 pints, another pail 16 pints. They both held — pints. 3. In June there are 30 days, and in July 31 days. How many days in both months? 4. John raised 37 chickens and bought 20 more. How many chickens had he then? 6. In a hall there were 88 chairs, and 30 chairs were carried out. How many were left? 6. 20 cents and 40 cents and 30 cents are — cents. 7. If you spend 8 cents for thread and 20 cents for cloth, how much would you spend? 8. 40 baskets of grapes were picked, and then 9 baskets more. Hew many in all? 9. A little boy had 60 cents. He spent 20 cents, then 30 cents. He had — cents left. i^. In a barn were 80 chickens. One day 20 were sold ; then 20 the next day and 20 the third day. How many chickens were left? 11. How many days are there in the months of April and May? 12. Half a dollar and 20 cts. are — cts. IS. Quarter of a dollar and 40 cts. are — cts. EXERCISE 18. ao Copy and add : {!) {2) 30 60 4 7 {3) 80 3 {4) 70 9 50 _4 {6) 90 7 {7) 40 3 {S) {9) 20 40 30 30 {10) 30 50 {11) 60 40 20 70 50 40 80 20 {IS) {16) 60 30 {17) 20 {18) 50 10 {W) 40 {21) 30 20 72 6 40 83 60 40 8 70 6 74 37 21 8 40 8 82 6 60 6 {22) {23) {24) {26) {26) {27) {28) 74 {29) {30) {31) {32) {33) {34) {3S) 24 6 21 16 37 34 21 84 6 72 8 55 42 24 62 16 74 13 64 6 {S6) {37) {38) {39) {40) {41) 51 32 41 9 {42) 42 57 30 EXEBCISB 10. Copy and subtract: {1) 28 8 {2) 67 7 {3) 44 4 39 9 86 6 91 1 (7) 58 8 (S) 60 20 (9) 50 30 {10) 70 30 (11) 80 50 (1^) 90 40 (IS) 100 40 60 30 {IS) 26 20 {16) 42 30 58 40 {IS) 63 40 84 60 {20) 78 50 {21) 96 60 {22) 46 3 54 2 m) 78 6 88 7 {26) 73 3 (^7) 57 6 {28) 69 8 {29) 40 - 6 60 8 50 4 80 2 70 9 (34) 30 7 90 5 {36) 46 59 72 89 (40) 78 66 54 13 14 21 27 54 23 32 (1) 32 +_20 (S) 70 -8 41 + 6 (9) 36 -6 BXERCISE 20. (^) (4) (S) 53 48 62 r30 +10 +6 (^0) (11) 77 58 -5 -6 37 + 40 di (7) 41 (i^) (ij) (i^) 40 68 93 - 9 - 20 - 70 (IS) 47 -22 38 -31 (i'n (IS) (19) (20) (21) 58 46 89 75 96 -27 -25 -62 -24 -72 m) (28) (24) (2S) (26) (27) 128) 23 42 36 21 75 81 66 + 2^ +^ +41^ +42 +20 +16 +23 {^9) (30) (31) (32) (33) 90 27 64 83 24 {S4) (35) 82 -JO +n -30 +U +_32 -20 -70 {S6) (37) (38) (39) (40) (41) (42) 30 87 + 21 -JO -50 +46 +46 -20 - 99 70 SECTION III. r"XERCISB 1. -J - D 1. 9+2= 2. 9 + 2 19+2= 19 + 2 n i 29+2= 29 + 2 11 -2 21 -2 31 -2 39+2= 39 + 2 «^. 11-2= 21-2= 31-2= 41-2= 41 -2 BXBBCISB 2. 1. a. 9 + 2 = b. 19 + 2 = c. 29 + 2 = d. 39 + 2 = e. 69 + 2 = / 89 + 2 = g. 79 + 2 = h. 59 + 2 = i. 49 + 2 = i. 89 + 2 = 28 + 2 = 37 + 2 4? + 2 = 69 + 2 = 73 + 2 = 85 + 2 = 97 + 2 = 68 + 2 = 39 + 2 = 49 + 2 = 3. 11-2 = 21-2 = 31-2 = 41-2 = 61-2 = 81-2 = 51-2 = 71-2 = 91-2 = 41-2 = 33 71-2= 86-2= 70-2= 51-2 = 46-2= 69-2= 71-2= 83-2 = 91-2= 70-2= 5. Add by 2's from 20 to 100. 6. Subtract by 2's from 100 to 20 7. Add by 2's from 19 to 99. 8. Subtract by 2's Irom 99 to 19 9. 50-2+1 + 2+2 + 1 + 2-1 + 2-1-2 = 10 27+2+2-1+2+1+2+2+2+2-2= 11. 21 + 8+2 + 4 + 4+2-2-8-2-3-5-2 + 2- 1^. 71-2-3-2-3-2-4+3 + 1+2-6+4^ i^. 19+10+2 + 8+20+2-2 + 10+2-40= ft' !o~f^""^"'^^-'2-^^-2 + 20+2 + 20-2= 15. 59+30 + 2-50-2 + 40 + 2-20-2-40 + 2- 16. 29 + 2 + 20-2-30 + 2 + 50-2-9-2 7-2- 77. 31-2 + 40 + 2-30-2-8-2+20+2-30 T IS. 49+2+9-l+2+30-2-50+2+6t40+2;2: 84 EXEBCI8B 3. — n 1. 8 + 3 = 2. 8 + 3 ^ 18 + 3 18 + 3= 28 + 3 9 + 3 9 + 3= 19 + 3 = 19 + 3 29 + 3 S. 38 + 3 48 + 3 58 + 3 39 + 3 49 + 3 59 + 3 11 -3 21 31 -3 -3 12 -3 4, 11-3= 21-3= 12-3= 22-3= 22 -3 32 -3 EXERCISE 4. 1. a. 8 + 3- h, 18 + 3 = c. 28 + 3 = d. 48 + 3 = c. 68 + 3 = / 38 + 3 = g. 78 + 3 = h. 58 + 3 = i. 88 + 3 = j. 68 + 3 = «. 11-3 = b. 31-3 = c. 21-3 = d. 61-3 = c. 81-3 = / 71-3 = g. 41-3 = A. 61-3 = i. 51-3 = j. 91-3 = <3 9 + 3 = 19 + 3 = 39 + 3 = 59 + 3 = 89 + 3 = 49 + 3 = 79 + 3 = 29 + 3 = 69 + 3 = 89 + 3 = 6. 42-3 = 71-3 = 62-3 = 81-3 = 41-3 = 32-3 = 61-3 = 52-3 = 82-3 = 92-3 = 3. 78 + 3 = 39 + 3 = 64 + 3 = 71+3 = 49 + 3 = 28 + 3 = 68 + 3 = 75 + 3 = 59 + 3 = 78 + 3 = 7. 64-3 = 31-3 = 88 + 3 = 71-2 = 62 - 3 = 81-2 = 42-3 = 29 + 2 = 89 + 3 = 79 + 2 = 9. Add by 3's from 3 to 99. 10. Subtract by 3's from 99 to 11. Add by 3's from 1 to 100. 86 4- 12-3 = 22-3 = 42-3 = 32-3 = 62-3 = 72-3 = 52-3 = 82-3 = 32-3 = 92-3= 8. 49 + 3 = 38 + 3 = 71-3 = 59 + 3 = 82-3 = 61-2 = 49 + 3 = 78 + 3 = 51-3 = 62-3 = 3. ill 86 BXEBCI8B 6. 1. ;^. S. 4- a. 7 + 4 = 9 + 4 = 27 + 4= 69 + 4 h. 17 + 4 = 19 + 4 = 39 + 4 = 47 + 4 c. 27 + 4 = 29 + 4 = 67+4 = 37 + 4 d. 47 + 4 = 59 + 4 = 87 + 4 = 89 + 4 e. 67 + 4 = 79 + 4 = 49 + 4 = 77 + 4 /. 57 + 4 = 39 + 4 = 77 + 4 = 37 + 4 g. 87 + 4 = 89 + 4 = 29 + 4 = 89 + 4 h. 37 + 4 = 49 + 4 = 89 + 4 = 57 + 4 1. 77 + 4 = 69 + 4=^ 57 + 4 = 49 + 4 S. 6. 7. 8. a. 8 + 4 = 37 + 4 = 30-4 = 42-4 5. 18 + 4 = 79 + 4 = 60-4 = 63-4 r, 28 + 4 = 48 + 4 = 70-4 = 31-4 '•. 48 + 4 = 39 + 4 = 21-4 = 71-4 e. 38 + 4 = 67 + 4 = 71-4 = 62-4 / 78 + 4 = 89 + 4 = 61-4 = 82-4 g. 58 + 4 = 48 + 4 = 31-4 = 42-4 h. 88 + 4 = 49 + 4 = 27-4 = 73-4 i. 68 + 4 = 38 + 4 = 63- ! = 52-4 9. 10. 11. 12. a. 49 + 4 = 28 + 3 = 79-4 = 68 + 3 = h. 52-4 = 69 + 4 = 82-3 = 41-4 = 38 + 4= 39 + 3= 61-3= 57 + 4= d. 71-3 72-4= 29 + 4= 81-4= BXEBCI8B 6. Copy and add: 48 68 4 4 (S) 38 4 47 27 4 4 39 4 (0) 69 4 79 4 49 4 Copy and subtract: (^^) (16) (17) 18) 11 31 51 61 13 (^^) {2S) {24) i2S) 33 63 53 {12) 4 41 83 (6) 87 US) 36 4 93 87 {7) 57 4 76 4 (m {21) 91 81 {26) {27) {28) 73 (^^) {30) {SI) {32) 12 43 32 62 {SS) {34) {3S) 52 92 'O ^(?. Add by 4's from 4 to 100. 37. Add by 4's from 1 to 97. 38. Add by 4's from 2 to 98. 39. Subtract by 4's from 99 to 3. 40. Subtract by 4's from 98 to 2. ;r- - — ^^^=^ ^^ ^^^^^^^^M ^" 38 EXERCISE 7. 1. B. 3. ^. ^ a. 6 + 5 = 7 + 5 = 8 + 5 = 48 + 5= b. 16 + 5 = 27 + 5 = 28 + 5 = 68 + 5 = c. 56 + 5 = 37 + 5 = 48 + 5 = 17 + 5 = d. 36 + 5 = 67 + 5 = 68 + 5 = 36 + 5 = e. 76 + 5 = 57 + 5 = 88 + 5 = 47 + 5 = i / 36 + 5 = 47 + 5 = 18 + 5 = 16 + 5 = il; ff. 66 + 5 = 87 + 5 = 38 + 5 = 58 + 5 = i h. 46 + 5 = 77 + 5 = 1 48 +.5 = .38 + 5 = N^ i. 86 + 5 = 17 + 5 = 58 + 5 = 27 + 5- i j. 26 + 5 = 37 + 5 = 78 + 5 = 67 + 5 = S. 6. 7. 8. ! a. 9 + 5 = 71-5 = 42-5 = 43-5 = 1 b. 89 + 5 = 81-5 = 62-5 = 53-5 = i c. 79 + 5 = 41-5 = 72-5 = 73-5 = 1 d. 19 + 5 = 61-5 = 32-5 = 93-5 = ! e. 49 + 5 = 31-5 = 92-5 = 23-5 = 1 / 69 + 5 = 11-5 = 12-5 = 84-5 = (J, 39 + 5= 21-5 52-5 = h. 59 + 5 = i. 29 + 5 = 74-5= 34-5= 51-5= 22-5 = 91-5= 82-5= 24-5= 9. Add 3 to 23, 26, 38, 49, 37, 59, 68, 73, 88. 10. Add 4 to 27, 38, 56, 69, 76, 88, 69, 57, 39. 11. Add 5 to 9, 49, 7, 37, 6, 86, 8, 68, 88. 12. Add 5 to 28, 46. 37, 88. 64, 79, 67. 49, 76. BXERCISE 8. 1. Add by 5's from 1 to 96. 2. Add by 5's from 2 to 97. 3. Add by 5's trom 4 to 99. 4' Subtract by 5'8 from 100 to 5. 5. Subtract by 5's from 96 to 1. 6. Subtract by 5's from 97 to 2, 89 7. 8. 9. 10. a. 31-5 = 24 + 5 = 44 5- 24-5 b. 26 + 5 = 37-4 = 39-5 = 40-5 c. 37 + 5 = 28-4 = 44-3 = 100-5 d. 42-5 = 39 + 5 = 62-4 = 90-5 e. 36-5 = 28 + 5 = 18-3 = 85-5 /. 16 + 5 = 39-3 = 27-4 = 45-5 g- 24 + 5 = 46-3 = 32-5 = 32-4 11, Add upward, downward, to the right, and to the left: ^- «. J' k. I, m. n. o. p. q, r. s, t, a. 2 1 3 4 3 5 1 3 3 5 4 1 d. 4 3 13 2 3 4 4 3 2 2 4 3 4 3 2 1 2 4 3 4 3 15 4 4 c. 4231421 / 2 4 15 3 3 4 2 4 4 1 2 5 3 5 13 4 4 4 3 2 14 5 3 5 2 2 j •V, 40 EXERCISE 0. i 1. B'. 3. 4- ! «. 5 + 6 = 6 + 6 = 31-6 = 22-6 = i h. 15 + 6 = 46 + 6 = 21-6 = 82-6 = ' c. 55 + 6 = 56 + 6 = 11-6 = 52-6 = c?. 35 + 6 = 86 + 6 = 81-6 = 72-6 = e. 45 + 6 = 76 + 6 = 71-6 = 32-6 = 1 /. 25 + 6 = 16 + 6 = 51-6 = 42-6 = 1 g. 65 + 6 = 26 + 6 = 41-6 = 62-6 = 1 A. 75 + 6 = 66 + 6 = 61-6 = 12-6 = 1 i. 85 + 6 = 1 36 + 6 = 21-6 = 22-6 = 6. 7. 8. ':4 a. 7 + 6 = 1 1 *. 27 + 6 = 8 + 6 = 43-6 = 54-6 = 19 + 6 = 33 - 6 = 65-6 = 1 c. 57 + 6 = 29 + 6 = 53-6 = 74-6 = 1 d, 47 + 6 = 18 + 6 = 83-6 = 85-6 = \\ e. 37 + 6 = 38 + 6 = 93-6 = 45-6 = 1 / 67 + 6 = 49 + 6 = 63-6 = 34-6 = 1 ^.17 + 6 = 58 + 6 = 23-6 = 45-6 = 1 A. 87 + 6 = 69 + 6 = 13-6 = 74-6 = 1 I. 77 + 6 = 78 + 6 = 73-6 = 84-6 = 1 9. 89-4-2- -6-3-5- -2-4-3-5- -6-1-5= i 10. 91-4-3- -6-4-3- -5-6-1-5- -3-2-6= 11. 93-6-4- -2-1-3- -6-5-4-3- -4-5-2= IS. 92-5-3-6-3-2-4-6-1-3-5-4-6= 13. 95-6-2-3-6-5-4-2-3-6-1-4-3= BZEBCIBE lo. 41 1. 2. 3. 4' «. 4+7 = 5 + 7 = 82-7 = 21-7 = b. 14 + 7 = 25 + 7 = 42-7 = 31-7 = c. 34 + 7 = 35 + 7 = 32-7 = 51-7 = d, 24 + 7 = 65 + 7 = 92-7 = 61-7 = e. 44 + 7 = 85 + 7 = 62-7 = 81-7 = / 74 + 7 = 45 + 7 = 52-7 = 91-7 = g. 64 + 7 = 35 + 7 = 72-7 = 41 + 7 = h. 54 + 7 = 75 + 7 = 22-7 = 71-7 = e. 84 + 7 = 55 + 7 = 12-7 = 11-7 = ^. 6, 7. 8. o. 6 + 7 = 17 + 7^ 8 + 7 = 29 + 7 = i. 26 + 7 = 37 + 7 = 18 + 7 = 39 + 7= I c. 36 + 7 = 47+7 = «ft a. 7 — d. 16 + 7= 27 + 7= 68 + 7 = e. 86 + 7= 57 + 7 + 7 = 89 + 7 = 58 + 7= 39+7 = / 76 + 7= 67 + 7= 88 + 7= 59 + 7 = g. 46 + 7= 87 + 7= 28 + 7= 69 + 7 = h, 66 + 7= 77 + 7:^ 78 + 7= 79 + 7 = 9. 28+5-7+3+2-6+4+7-3+7-3+6+7-6= 10. 31-6+1-7+4-6+3-7+6-2+5-7+6-4= 11. 56+7-4+2-6+7-3+5-6+7-6+2-3+7= 12. 63-6+4-3+4-7+5-2+3-4-6-7+6-2= IS. 60-4+5-3+7-6+4-5+7-6+5-2-6-7= U' ^1+3+7-4+6-5+3-7+2+6-5+4-7+6= 42 EXEBCISB IL 1. ^.' S. 4. a. 7 + 8 = 8 + 8 = 9 + 8 = 15 + 8= b. 27 + 8 = 18 + 8 = 39 + 8 = 27 + 8= c. 37 + 8 = 48 + 8 = 49 + 8 = 39 + 8 = rf. 57 + 8 = 38 + 8 = 59 + 8 = 46 + 8 = e. 67 + 8 = 28 + 8 = 69 + 8 = 55 + 8 = /. 17 + 8 = 58 + 8 = 79 + 8 = 38 + 8 = ^r. 87 + 8 = 88 + 8 = 29 + 8 = 54 + 8 = h. 47+8 = 78 + 8 = 89 + 8 = 23 + 8 = ^. 57 + 8 = 68 + 8=^ 19 + 8 = 78 + 8 = S. 6. 7. 8, a. 35-8 = 66-8 = 37-8 = 37-8= b. 55-8 = 56-8 = 47-8 = 46-8 = c. 45-8 = •86-8 = 57-8 = 82-8 = c?. 25-8 = 26-8 = 97-8 = 93-8 = c. 75-8 = 76-8 = 87-8 = 24-8 = / 85-8 = 46-8 = 67-8 = 36-8= ff. 65-8 = 36-8 = 17-8 = 45-8 = L 15-8 = 96-8 = 27-8 = 86-8 = 1. 95-8 = 16-8 = 77-8 = 54-8 = j. 25-8 = 36-8 = 37-8 = 77-8 = 9. Count by 8'8 from to 80. 10. Count by 8's from 80 to 0. 11. Count by 8's from 2 to 82. 1^. Count by 8's from 82 to 2. BXERCISE 12. 1. a. 3 + 8 = b. 13 + 8 = c. 23 + 8 = d. 33 + 8 = c. 43 + 8 = / 53 + 8 = g. 63 + 8 = 4 + 8 24 + 8 = 34 + 8 = 64 + 8 = 84 + 8 = 14 + 8 = 54 + 8 = 6. S. 5 + 8 35 + 8 45 + 8 = 85 + 8 = 75 + 8 = 65 + 8 = 25 + 8 = d, 11-8= 3.-8 = e. 71-8= 62-8= 23 ^ = / 21-8 = g. 31-8 = h. 81-8 = 92-8 = 12-8 = P. 10. 11. a. 61-8= 30-8= 12 + 8 = b. 72-8= 24-8= 36 + 8 = c. 54-8 = 31-8= 42 + 8 = 48 6+8: 86 + 8 = 16+8 = 26 + 8 = 36 + 8 = 46+8 56 + 8 = 8. t l]~t^ ^^~^= ^^-«= 54-8 = 6.51-8= 89,-8= 43-8= 64-8 = c. 41-8= ^ 8= 63-8= 74-8= 33-8= 84-8 = 94-8 = 73-8= 24-8= 93-8= 34-8 = 52-8= 13-8= 44-8 = 12. 13 + 8 = 25 f 8= 36 + 8 = ^.33-8= 52-8= 56 + 8= 45 + 8 = ;*«n « oo~'= ^^^^- 33+8= /. 80-8= 22-8= 31+8= 20 + 8= g. 43-8= 64-8= 50 + 8= 14 + 8=. BiSil HMM I 4« BXEBGISE 13. • 1. J^. s. 4^ - a. 2+9= 3+9= 4+9= 5+9= h, 22+9= 33+9= 74+9= 25+9= c. 52+9= 43+9= 64+9= 35+9= d. 62+9= 73+9= 34+9= 85+9= e. 12+9= 53+9= 54+9= 45+9= /. 32+9= 83+9= 24+9= 75+9= g. 42+9= 23+9= 84+9= 55+9= A. 72+9= 63+9= 94+9= 65+9= i. 82+9= 13+9=^ 14+9= 15+9= ^. 6. r. 8. o. 6+9= 7+9= 8+9= 9+9= h. 36+9= 47+9= 38+9= 19+9= c. 46+9= 87+9= 58+9= 39+9= d. 86+9= 37+9= 48+9= 59+9= c. 26+9= 27+9= 68+9= 79+9= / 56+9= 67+9= 28+9= 29+9= g. 16+9= 17+9= 78+9= 49+9= A. 76+9= 57+9= 18+9= 69+9= i. 66+9= 77+9= 88+9= 89+9= 9. Add by 9's from 9 to 99. 10. Add by 9'8 from 8 to 98. 11. Add by 9'8 from 7 to 97. 12. Add by 9'8 from 6 to 96. 13. Add by 9's from 5 to 95. BXBBCI8E 14. 4C 1. 2. S. 4. a. 11-9= 12-9= 13-9= 14-9= b. 31-9- 82-9= 73-9= 24-9= c. 51-9= 52-9= 43-9= 34-9= d. 61-9= 62-9= 53-9= 64-9= e. 21-9= 42-9= 63-8= 74-9= / 81-9= 22-9= 23-9= 84-9= g. 41-9= 72-9= 83-9= 54-9= S. 6, 7. 8. a. 15-9= 16-9= 17-9= 18-9= h. 35-9= 26-9= 27-9= 38-9= c. 55-9= 86-9= 87-9= 58-9= Show by squares | of 21 ; f of 21 ; I of 30 ; i of 30. ' 3 , 5. What is 1 of 18? of 27? of 24? of 21? 6. What is | of 18? of 21? of 24? of 27? — I ' I ^ 12345678 7. 3 squares in 24 squares — times. S. 3 squares in 27 squares — times. 9. 3 squares in 18 squares — times. 10. 3 squares in 28 squares — times and - remainder. ii. 3 squares in 30 squares — - times. 1^. 3 squares in 21 squares — times. 13. 3 squares in 23 squares — times and - remainder. BZBBCI8B S, ^■^ ~^~' — — ~ u ,^^ ^^ 4+4+4+4+4+4+4+4+4+4=4X10 1. How many times 4 is 4 + 4 + 4? ^. Express in the form of multiplication and give answers to the following problems : 4+4+4+4= 4+4+4+4+4+4= 4+4+4+4+4+4+4+4= S, 4x4 = 4x6 = 4x8 = 4- Add 4 together 3 times; 5 times; 7 times- 9 times; 10 times. ' S. 1 four = 2 fours = 3 fours = 4 fours = 5 fours = 6 fours = 7 fours = 8 fours = 9 fours = 10 fours = 6. 4x 4x 4x 4x 4x 1 = 3 = 5 = 6 = 8 = 7. 4x10 = 4x 7 = 4x 9 = 4x 6 = 4x 7 = 6 = 8 = 7 = 3 = 5 = 4x 4x 4x 4x 4x 4x 9 = 4x10 = 4x 8 = 4x 7 = 4x 6 = 8. 4x 7 4x 4x 4x 4x 4x 4x 4x 8 = 6 = 9 = 4 = 7 = 9 = 8 = 4x10 = 4x 6 = 60 BXEBCI8B 4. -» i of 20 dots. = I of 20 dots. i. I of 20 dots are -^ dots. Show by squares or dots: ^. i of 8; 3 of 8; I of 8. S. i of 30; I of 30; | of 30; | of 30. 4- i of 24; i of 24; | of 24; § of 24. S. I of 18; I of 18; | of 18; | of 18. Show by squares or dots that — ^. I of a number = ^ of that number. r. I of a number = ^ of that number. 12 3 4 5 6 7 8. 4 squares in 28 squares — 9. 4 squares in 24 squares — 10. 4 squares in 20 squares — 11. 4: squares in 16 squares — i^. 4 squares in — squares 3 IS. 4: squares in 8 squares — times, times, times, times, times, times. EXERCI8B 6. 61 1. 4-4 8-4 12-4 16-4 20^4 = 2. 24-4 28-4^ 32-4 36-4 = 40^4 = S. 12-4 = 20-4 = 16-4 = 32-4 = 8-4 = 40-4 24-4 32-4 12-4 36-4 = 6. Add by 4's from 4 to 40. G, Multiply each of the following numbers by 4: 2; 7; 5; 6; 4; 8; 3; 10; 9. 7. Multiply the same numbers by 2; by 3. 8. What is \ of 32? of 16? of 24? of 40? 9. What is I of 12? of 16? of 20? of 24? 10. What is I of 28? of 32? of 36? of 40? 11. 20-4 = 28-4 = 36-4 = 32^4 = 40-4 = 15. I of 30 + 4 = >f 40-3 = I of 12 + 4 = I of 24-3 = I of 20 + 4 = 12. 13-4 17-4 21-4 = 26-4 = 30-4 = 13. 18-4 = 31-4 = 39-^4 = 41-4 = 33-4 = 16. I of 36 + 4 = I of 40-3 = I of 30-4 = I of 32 + 3 = I of 28-4 = 30-4 = 27-4 = 35-4 = 37-4 = 39-4 = 17. loi 18 + 4 = I of 27 + 3 = I of 28-3 = |of 36 + 3- I of 32-4 = 02 EXERCISE 6. i How many ; of 12? How many I. Place 12 dots in 3 equal rows, are there in 1 row? in 2 rows? ^. Place 24 dots in 4 equal rows, are there in 3 rows? % of 24? S. A of 8; 16; 20; 18; 16. ^. iof 12; 18; 24; 30; 21. 5. iof 8; 16; 20; 24; 32; 40. 6. I of 6; 12; 18; 24; 30; 36. 7. I of 8; 16; 20; 24; 32; 40. 8. My hens lay 4 eggs a day. In how many days will they lay 2 dozen? 3 dozen? 9. I have 4 rows of trees, 5 in each row, and 2 trees besides. How u.any trees have I in all? 10. There are 12 months in a year. How many months in 4 yrs.? in 3 yrs.? in 2| yrs.? II. How many months in ^ of a year? in g of a year? in | of a year? ii?. How many months are there in 2 yrs. 7 mo.? 15. How many inches in 3 ft.? in 4 ft.? 14. There are 3 feet in a yard. How many ft. in 4 yds.? in 6 yards? 1^. How many feet in 8 yds. 2 ft.? 16. There are 4 gills in a pint. How many gills in a quart? in a gallon? 17. In 8 pints there are — quarts. EXERCISE 7. 63 1. If John can walk 6 miles in 2 hours, he can walk — miles in 1 hour. In 4 hours he can walk — miles. 2. At the rate of 2 for 3 cents, what will half a dozen pencils cost? S. If I can buy 8 marbles for a cent, I can buy — - marbles for 4 cents ; and for 16 marbles I should have to pay — cents. 4' From tl 3d to the 3l8t of July there ai-e — days or — weeks. 5. From the 4th to the 22d of June how many weeks and days? 6. Fannie is 12 years old; her brother is 19 years. How much older is he? 7. If I paid 2 cents for 1 marble, for 12 marbles I should have to pay — cents. 8. At the rate of 2 for a cent, what will one dozen pencils cost? 9. Our school-room is 30 feet long. How many yards long is it? 10. The table is 3 yards and 2 feet long. How many feet is it? 11. If you walked 24 feet, how many yards would you walk? 12. Arthur had 35 cents, and he spent all but 15. How many cents did he spend? 64 EXERCISE 8. 1. A little girl picked 15 cherries, and ate I of them. How many did she eat? 2. If you had 18 cents, and spent | of them for candy, how much would you spend? 3. In one box there are | of a dozen eggs, in another box | of a dozen. How many more eggs in one box than the other? 4. I of 21 children were playing out in the yard, and 12 more children came. How many children in all? 5. If you earned 3 cents per day for a week, how many cents would you earn ? 6. In one barn were 24 tons of hay, in another barn 36 tons. There were — tons more in the second bam. 7. If 32 marbles were divided equally among 4 boys, each one would receive — marbles. 8. One box of soap weighed 24 pounds, and another box weighed ^ as much. How much did the small box weigh? 9. At 4 cents apiece, how many pencils can you buy for fifteen cents, and how many cents will you have left ? 10. Mary had a dozen paper dolls, and her mother made her 3 of a dozen more. She gave away 6 of them. How many had she left? 1. Show by squares or lines : 3 times 5 • 4 Ta.!,!*T'^' 8 times 5; 10 times 5. ^. Add by 5's from 5 to 50. S. a. 1 five = b. 2 fives = c. 3 fives = c?. 4 fives = e. 5 fives = / 6 fives = ff' 7 fives = ^. S fives = i' 9 fives = j' 10 fives = 7. a. 5x 3 + 4 = b. 2x10 + 3 = c. 3x 4 + 5 = (I. 2x 7 + 3 = c. 2x 9 + 4 = / 5x 3+2= ff- 4x 4+3= k. 5x 4 + 2 = t. 3x 7 + 4 = j' 4x 8 + 3 = 5x 5x 5x 5x 5x 5x 5x -^. 1 = 3 = 4 = 6 = 7 = 8 = 9 = 5x10 = 5x 2 = 5x 5 = S. 5x 4 5x 5x 5x 5x 5x10 5x 9 = 5x 5 = 5x 7 = 5x 1 = 3 6 = 8 = 2 = S. 2x 9-4= 5x 3-2= 2x 7-5= 3x 9-2= 4x 8-5= 3x 6-4= 5x10-2 = 4x10-5 = 3x10-3 = 4x 9-3= 6. 5x 6 5x 4 = 5x 2^ 5x 7 = 5x 3 = 5x 1 = 5x10 = 5x 5 = 5x 8 = 5x 9 = P. 2x 7+3= 2x 8-4= 5x 5-4= 3x 9-2= 5x 8+4= 3x10 + 5 = 2x10-5 = 3x 6-4= 5x 9+4= 4x 7-3 = 66 EXERCISE to. Show by drawing how many times— 1. 5 squares are contained in 10 squares. ^. 5 lines are contained in 20 lines. 3. 5 circles are contained in 30 circles. 4. 5 apples are contained in 15 apples. 6. 5 flags are contained in 25 flags. 6. 5 is contained in 5 — time. 5h-5 = ? 7. 5 is contained in 10 — times. 10^5 = ? 8. 5 is contained in 15 — times. 15-h5 = ? 9. 5 is contained in 20 — times. 20-^-5 = ? 10. 5 is contained in 25 — times. 25-h5=? 11. 5 is contained in 30 — times. 30-f-5 = ? 12. 5 is contained in 35 — times. 35-7-5=? 13. Show by drawing, ^ of 40; i of 50; i of 45. 14. Show by drawing, § of 15; | of 25; § of 35. !■ 15. 16. 17. 18. 40^5 = 19^5 = iof 30 = iof24 35-^5 = 26-7-5 = § of 30 = |of24 25-^5 = 17^5 = A of 36 = iof40 30-f5 = 36^5 = §of 36 = |of 40 20^5 = 42-^5 = A of 21 = I of 28 15-^5- 37^5 = iof21 = fof 28 50^5 = 48^5 = ^of 24 = lof 32 45-^5 = 16-7^5 = |of24 = |of 32 10^5 = 21^5 = |of 40 = fof 35 EXERCISE 11. 67 1. How many lead pencils at 2 cents each can I buy for 12 cents? Cents. Pencils. OO OO OO OO oo O O i I I I can buy — lead pencils for 12 cents at 2 cents apiece. 2, How many books at 5 cents apiece can I buy for 23 cents, and how many cents shall I have left? Cents, O O O O O Books, I I O O O O O OOOOO OOOOO OOO D D D I can buy — five -cent books for 23 cents, and I shall have — cents left. Show by drawing the following: S, How many apples at 2 cents each can be bought for 24 cents? ^. How many oranges at 3 cents apiece can you buy for 30 cents? 5. How many nuts at 1 cent each can you buy for 40 cents ? G. How many hats at 4 dollais each can I buy for 22 dollars, and how many dollars shall I have left? S8 EXERCISE 12. 1. Show by squares or marks how many 2 sixes are; 3 sixes; 4 sixes; 5 sixes; 6 sixes; 7 sixes; 8 sixes; 9 sixes; 10 sixes. 2. Add by sixes from 6 to 60. 3. Make the table of sixes from 6 x 1; to 6 x 10. 4. Multiply 6 by 2; by 4; by 3; by 5; by 7; by 6; by 8; by 9; by 10. 6. 6, 7. 8. a. 1 six = 2x 8 = 2x10 = 2x? = 20 h. 2 sixes = 3x 9 = 6x 9 = 2x?=16 c. 3 sixes = 4x 6 = 5x 7 = 2x?=12 d. 4 sixes = 2x 8 = 3x 8 = 2x? = 24 e. 5 sixes = 3x 7 = 4x10 = 2x? = 18 /. 6 sixes = 4x 8 = 6x10 = 3x? = 30 9- 7 sixes = 3x 6 = 5x 4 = 3 X ?•= 15 h. 8 sixes = 6x 6 = 2x12 = 3x? = 18 i. 9 sixes = 5x 10 = 3x 4 = 3x? = 27 • 10 sixes = 4x 9 = 6x 8 = 3x? = 21 9. What will 3 books cost at 6 cents apiece ? 10. What will 10 slates cost at 6 cents apiece? 11. What will 8 oranges cost at 6 cents apiece ? 12. What will 4 spools of thread cost at 6 cents apiece? 13. What will 5 tops cost at 6 cents apiece? EXERCISE 13. Show by drawing how many times 1. 6 squares are contained in 12 squai-es. 2. 6 squares are contained in 24 squares. 3. 6 dots are contained in 18 dots. 4' 6 marks are contained in 36 maiits. 5. 6 marks are contained in 30 marks. 6. 6 books are contained in 42 books, 7. 6 pencils are contained in 54 pencils. 8. 6 tops are contained in 60 tops. 9. Show by drawing : ^ of 24 ; ^ of 48 • ^ 69 of 30; I of 30; § of 36; § of 42; i of 42. 10. 6 is contained in 8 — time and — over. 11. 6 is contained in 15 — times and — over. 12. 6 is contained in 20 — times and — over. 13. 6 is contained in 32 — times and — over. U. a. 6-r-6 = b. 12--6 = c. 24h-6 = d. 18-r6 = e. 30-f6 = /. 60-6 = g. 36-f-6 = h. 48-^6 = i. 42-7-6 = 15. 16. |of 60 = 60- ^6-1-4 |of 30- 24- ^3 + 2 iof 40 = 27- r3-h5 fof 20 = 36^ -6-f4 |of 30 = 30-: -54-7 iof 12 = 40- -5 + 3 6 of 18 = of 24 = of 30== 36 --4-1-7=. 48^6 + 6-. 42-7-6 + 5 = eo EXERCISE 14. 1. How much will 6 bottles of ink cost at 5 cents a bottle? PPTite ooo ooo ooo ooo ooo ooo t/cnis. Q Q Q Q Q Q oo OO OO Bottles ink. "'fi fi di O ^ c^i 6 bottles of ink at 5 cents a bottle will cost — cents. In the same way do the following: 2. 9 pounds of sugar at 5 cents a pound will cost — cents. 3. 9 pencils at 2 cents each will cost — cents. 4. 10 picture-books at 6 c?nts apiece will cost — cents. 6, 7 quarts of milk at 5 cents each will cost — cents. 6. 8 two-cent postage stamps will cost — cents. 7. 6 five-cent postage stamps will cost — cents. 8. 6 papers of tacks at 6 cents a paper will cost — cents. 9. 8 spools of thread at 6 cents a spool will cost — cents. 10. ^ yards of braid at 3 cents a yard will cost — cents. 11. 7 boxes of matches at 6 cents a box will cost — cents. BXERCISB 15. 61 1, Add by 7*8 from 7 to 70. ^. Show by squares or marks 2 times 7 are — 3 times 7 are — 4 times 7 are — 5 times 7 are — 10 times 7 are — 6 times 7 are — 7 times 7 are — 8 times 7 are — 9 times 7 are — 3. 7x1 = 7x2 = 7x3 = 7x4 = 7x5 = 4- 7x 6 = 7x 7 = 7x 8^ 7x 9 = 7x10 = 5, 7x2 = 7x4 = 7x3 = 7x5 = 7x7 = 7x 6 7x 7x 7x 9 8 1 7x10 = 7. Multiply 3 by 8, 6, 9, 7, 5, 4, 3. 8. Multiply 6 by 4, 8, 3, 9, 6, 7, 5. ^. Multiply 4 by 7, 4, 8, 5, 3, 6, 9. 10. Multiply 7 by 6, 3, 9, 5, 4, 8, 7. 11. Divide 35, 45, 25, 40, 30 by 5. 12. Divide 24, 36, 48, 42, 54 by 6. 13. I of 15 = I of 30 = I of 12 = 14- I of 21 I of 24 I of 36 15. I of 18 I of 27 I of 33 62 BXERCISE 16. Show I. 7 2. 7 3. 7 4. 7 ^. 7 5. 7 7. 7 ^. 7 by drawing how many times — squares are contained in 14 squares, circles are contained in 28 cireles. candles are contained in 21 candles. • are contained in 35 • are contained in 49 • are contained in 42 • are contained in 70 * are cpntained in 63 9. a. 56-^7 = h, 42-^7 = c. 35^7 = d 49-^7 = e. 28-^7 = /. 70-7 = g. 63-^7 = 11. i of 14 = f of 21 = f of 28 = ^ of 35 = f of 42 = f of 49 = There are There are There are There are There are There are There are 10. sevens and sevens and sevens and sevens and sevens and sevens and sevens and n29. n46. n59. n 39. n61. n 59. n68. 12. 42^7+ 6 = 28^7+ 9 = 49-7+ 5 = 35 - 7 + 10 = 63-7+ 7 = 56-7+ 6 = • Whatever the pupil desires to draw. 13, 26-7 48-7 32^7 54 + 7 61 + 7 38h-7 = BXEBCISB 17. 03 1. I of 15 oranges are — oranges. iof 16. O O O O Ol , f iK 00000 In the same way do the following: 2. % of 21 apples are — apples. 3. % of 40 stars are — stars. 4. % of 24 birds are — birds. 6. % of 30 chairs arc — chairs. ^. I of 50 peaches are — peaches. 7. % of 42 balls are — balls. 8. If 24 marbles were divided equally among 3 boys, how many would each receive? 4 of 24. Wliat 1 boy had. In the same way do the following: 9. If 42 cookies were divided equally among 7 boys, how many would each receive? 10. If 35 horses were divided among 7 pas- tures, how many would there be in each pasture? 11. If 56 oranges were put equally into 7 baskets, how many in each basket? 12. If 70 children were evenly in 7 classes, how many in each class? 64 EXERCISE la 1. Show by squares or marks: 2 times 8 are — 6 times 8 are — 3 times 8 are — 7 times 8 are — 4 times 8 are — 8 times 8 are — 6 times 8 are — 9 times 8 are — 10 times 8 are — 2. Add by 8's from 8 to 80. Show by drawing how many times 3. 8 apples are contained in 32 apples. 4. 8 marbles are contained in 24 marbles. ^.8 « are contained in 40 « ^.8 « are contained in 56 • 7. 8 • arc contained in 48 « a. h. 8. 8x 2 8x c. 8 X c?. 8x 8x 8x 8x 3 = 4 = 5 = 6 = 7 = 8 = h, Sx 9 = *. 8x10 = e. / 9- 9. 16-8 = 32-8 = 24-^8 = 40-8 = 64-8 = 48-8 = 56 4-8 = 72-8 = 80-8 = 10. 8x 3 8x10 8x 5 8x 8x 8x 8x 8x 8x 9 6 4 7 2 8 11. 30-8 36-8 50-^8 78^8 43-^8 19-8 29-8 68-8 82 -.-8 * Wliatever the pupil desires to draw. BXBRCI8B 19. 66 1. When meat is 8 cents a pound, how many pounds can I buy for 40 cents? For O O O o O o o ^ I ;rot 1 ponni For O o O o o O < o 1 ".<. . 1 .aim! For ooooooocj tl i.^vaiwi. For OOOOOuo(?t -of J. pounJ. For O O O O O O o o I gf>t; 1 )Mini(i. For 40 cents f S'c "ivuula. In the same way do llie I^Jiouing: 2. When flour is 8 dollars :i ! and, 48 dollars will pay for — barrels. 3. If coats cost 8 dollars each, for 24 dollars you can buy — coats. 4. When slates arc 8 cents apiece, for 72 cents you can buy — slates. 5. If sugar is 8 cents a pound, 80 cents will pay for — pounds. 6. If paper is 8 cents a quire, for 40 cents you can get — quires. 7. When berries are 8 cents per quart, then 64 cents will buy — quarts. 8. If clocks cost 8 dollars each, with 32 dollars — clocks can be bought. 9. With 56 dollars to buy railroad tickets at 8 dollars each, — tickets can be bought. 10. What is I of 5Q'i I of 56? J of 56? 06 EXERCISE 20* 1. Show by squares or marks: 2 times 9 are — 3 times 9 are — 4 times 9 are — 5 times 9 aic — 10 times 9 are 6 times 9 are 7 times 9 are 8 times 9 are 9 times 9 are 9, a. 9x 3 = A. 9x 4 = c. 9x 7 = «?. 9x 6 = c. 9x 8 = / 9x 5 = g. 9 X 10 = ^. 9x 9 = t. 9x 2 3. 9-^9 18-9 27-9 36 -=-9 45-9 54-9^ 63-9 = 72-^9 = 81-9 = 4- 36^9 54H-9 27-9 45-f-9 63-9 18-9 = 81-9 90-9 = 72-r9 = 5. 19-9 38-9 42-9 76-9 23-9 57^9 69-9 96-9 84^9 = 6. Multiply each of the following numbers by 9: 6; 8; 3; 7; 9; 1; 5; 10; 4; 2. 7. 9 in 19 — times and — remainder. 8. In the same way state how many times 9 is contained in 22; 30; 26; 34; 40; 52; 37; 58; 64; 55-, 46; 66; 78; 73; ^84; 80. 9. Multiply each number in Ex. 6 by 3; by 4; by 5; by 6; by 7; by 8. EXERCISE 21. Copy and complete, adding by— 67 I's 1 2 3 4 a Q 7 8 2 T 8 10 12 14 3 T 12 4's T 8 12 S'a 6 10 O's 7'« T 8s 8 O's 10-s 10 9 — The above, when completed, forms the multi- plication table. Complete the following table, and make other tables having different figures in first row. T 7 T 8 10 G 2 "n" T 3 12 ~0 6 7 4 i~ 1 1 8 2 8 — 10 100 8 — i " i i SB BXERCISE 22. 1. g. 5. V, a. 5+? = 14 12- ?= 8 ?-9 = 7 b. 16-8= ? 6x 9= ? 4+? = 12 c. ? + 6 = 15 ?-^ 5= 7 ?x9 = 63 d. 8x8= ? 7+? = 13 49^7 = 9 • e. ?^7= 6 14- 5= ? 13-? = 9 / ?x5 = 45 5+? = 12 ?x9 = 54 y- 14-9= ? ?x 8 = 32 32-^4 = 9 • h. 48h-?= 8 12- 5= ? 9+? = 20 • ?-9= 6 27 -^ ?= 9 ?x6 = 42 • 3- 36^4= ? 6+? = 14 15-8 = ? k. 81 H- ? = 9 76 + 8= ? 85-? = 77 4. S. 6. a. 25+ ? = 33 9 + ? = 17 30 + 20 = ? b. 36^ ?= 6 30^ 6= ? 35+ 8 = ? c. ?^ 8= 9 8x ? = 72 72- 8 = ? d. 16- 7= ? 17- 8= ? 40- ? = 5 e. ?x 6-54 4 + ? = 30 7x ? = 56 / 14- ?= 8 54- 9= ? 50-40 = ? 9- 7+ 9= ? ?-^ 8= 5 7x 4 = ? k. ?x 6 = 48 8 + ? = 16 ?^ 6 = 9 • t. 4 + 15= ? 7x 5= ? 4x ? = 32 • J- 18- 9= ? 6 + ? = 20 80h- 8 = ? k. ?x 8 = 40 7x 4= ? 58+ ? = 66 I. 23- ? = 12 20+12= ? 63^ ? = 7 EXERCISE 23. 1, 2. S, a. 3's in 42 = 6's in 54 = 9's in 36 h, 7's in 35 = 2's in 30 = 4's in 24 c. 8's in 40 = 9's in 18 = 7's in 42 d. 9's in 45 = 4's in 36 = 8's in 48 e. 6's in 42 = 8's in 32 = 4's in 28 / 7's in 63 = 5's in 45 = 8's in 64 pecks? 3 pecks? ' " 11. At 80 cents a bushel, wliat will ] peck of corn cost? 3 i)k. ? r) pk. ? 1^. At 8 cents a quart, what will 2 qt. J 14 of berries cost? 72 BXBBCISE 26. 1. 1 pk. and 2 qt. of berries will cost how much at the rate of 9;^ a quart? 2. 2 pk. 4 qt. of apples will cost how much at 40^ a peck? 5. If grain sells at 32;^ a peck, how much must be paid for 3 quarts? How much for 1 bu.? How much for 2 pk. and 2 qt.? ^. At 4/ a pint, what will a peck of berries cost? i qt.? 1 pk. 2 qt.? 6. At a dollar a bushel, how many pecks of grain can I buy for 75/? 6. What will 3 qt. of milk cost at 24;^ a gallon ? 7. A five-gallon can of oil costs 50/^. What must I pay for 1^ gal. at the same rate? 8. How many quart cans will it take to hold 5^ gal. of milk ? 9. How long will 2 bu. 3 pk. of potatoes last a family if they eat a peck every week? 10. It takes 2^ bu. of potatoes to fill a barrel. How many bushels will it take to fill 6 barrels? 11. At Qf a pint, what will 4 quarts and a pint of cranberries cost? 12. If a horse eats a peck of oats a day, how many bushels will he eat in four weeks? BXERCISE 27. 73 1. There are 16 ounces (oz.) in 1 pound (lb.) How many oz. in i lb. ? in i lb. ? in | lb. ? in l^Ib.? in I lb.? in fib.? ^. What part of a pound is 8 oz. ? 4 oz ? 12 oz. ? 2 oz. ? 6 oz. ? 10 oz. ? 3. What will 8 oz. cheese cost at 12/ a pound ? J?. What will 1 lb. 4 oz. of butter cost at •32/ a pound? 6. At 8/ a pound, what will 3 lb. 8 oz. of sugar cost? 1 lb. 4 oz. ? 4 lb. 2 oz. ? 2 lb. 1 oz. ? 6. I bought 6 lb. 4 oz. of meat at 12/ a pound, and paid for it in eggs at 25/ a dozen. How many eggs did I give? 7. At 12/ a doz., what will 20 eggs cost? 8. At 24/ a doz., what will 30 eggs cost? 9. At 20/ a doz., what will 12 eggs cost? 24 eggs? 18 eggs? 30 eggs? 10. What part of a dozen are 4 eggs? 6 eggs? 8 eggs? 3 eggs? 9 eggs? 2 eggs? 10 eggs? 11. How many cups, each holding a gill, can be filled from a teapot holding a gallon? i^. John starts to school at half-past eight morning, and returns home at half-Dast the afternoon. Ho m four in away? many hours is he SECTION V. EXEBCISB L 1. 2, S. 4. a. 14 + 10 = 87-10 = 59 + 20 = - 12 + 60 b. 18+10 = 39-20 = 58-20 = = 65-40 c. 24 + 10 = 47-20 = 67 + 30 = = 83-50 d. 38 + 10= 62-30 = 72-40 = = 34 + 40 €. 68 + 20= 43-30 = 83-50 = = 51 + 30 / 43 + 30 = 87-50 = 78-40 = = 27 + 50 9- 55 + 40 = 69-40 = 81-60 = = 89-60 h. 27 + 60 = 94-60 = 37 + 40 = = 67-50 6. e 7. a. 16 + 10+1 = 58 + 20 + 2 = 25 + 30 + 5 b. 25 + 10 + 1 35 + 30 + 5 = 68 + 20 + 2 c. 23 + 20 + 6 76 + 20 + 4 = 46 + 40 + 4 d. 35 + 30 + 3 = 24 + 60 + 6 = 84+10 + 6 e. 41 + 30 + 8 = 67 + 20 + 3 = 79 + 20 + 1 / 24 + 40 + 3 = 73 + 20 + 7 = 31 + 40 + 9 36 + 50 + 2 = 82 + 10 + 8 = 67 + 20 + 3 8, 28+40-30+50-20-20-20+30+10-20= 9. 86-20-30+50-60-20+40+20-30-20= 10. 42-30+60-30-80+50+30-40-30+20= 11, 13+50+30-#>+20-30- 30+60-20-40= BZBBCISE 2. 7fi i. a. 24+16= b. 33 + 17 = c. 27 + 13= d. 42+18= e. 82+18= /. 73 + 17 = ff. 46 + 14= h. 55+15= l 38+12= S. a. 24 + 20+8= b. 36+20+6 = c. 45 + 30 + 9= d. 74+20+7 = €. 77 + 40+6= /. 59+30+4 = ff. 36 + 50+5= L 83 + 10+9= i. 65+20 + 8= 36 + 14= 72+28= 55 + 35= 88 + 12= 43 + 47 = 59 + 21 = 86 + 14 = 64+26 = 57 + 33 = 3. 4. 24+46= 42+38 72+28= 65+25 = 46 + 34= 24+36 = 39 + 51= 51 + 39= 88 + 12= 48+22= 75 + 15= 34+66 = 41 + 39= 89+11 = 64+26= 26 + 54- 37 + 33= 63+27 = 7. 27 + 30+6 = 69 + 20+8= 36 + 50+6 = 44 + 30+8 = 57+20+8 = 65 + 20+6 = 23 + 60+8 = 47 + 30+5 = 28 + 50+3 = 8. 47+13+24-50+16+36-60+24+38-50= 9. 39+21+32-60+28+11-40+29+37-70= 10. 17+33+25-40+55-60+24+16+13-60= IL 89-60^21+28-30+22+26-60-20+54= i^. l»i 20+20+ 15-40+33-20+47 + 11-60= e. 73 + 10+9= 25 + 50+7 = 68 + 30+3 = 34 + 50+8= 47+40 + 7 = 84 + 10+6 = 36 + 40 + 7 = 69+20+6 = 52 + 30+9= 76 BZRRCIBB a • 1. 25+18= 2. 81+19= S. 34+18- 4^ 72+16= 36+15= 55+18= 66+16= 36+13= 58+18= 34+17= 83+19= 64+18= 37+15= 78+13= 47+14= 27+16= 63+19= 43+18= 65+16= 41+18= S. 42+19= 6. 27+19= 7. 72+19= 8. 59+12= 73+18= 63+14= 38+14= 56+17= 36+15= 76+18= 51 + 18= 35+19= 28+13= 49+12= 48+12= 68+15= 54+18= 54+17= 29+13= 43+19= 9. 29+11= 10. 37+42= 11. 72+28= 12. 26+38= 65+22= 53+32= 37+34= 63+28= 49+21= 74+22= 54+27= 57+26= 77+22= 48+21= 16+45= 35+46= 38+31= 22+26= 69+24= 72+18= 13. 54+25= 14^ 56+33= 15. 28+35= 16. 44+48= 77+21= 89+11= 73+18= 83+16= 58+31= 65+23= 45+16= 68+24= 66+33= 41+34= 65+26- 19+23= 83+16= 65+24= 81+18- 61 + 19= BXBBGIBE 4. 77 1. 9. S. 4- 14+68= 67+14= 38+36= 27+54= 47+15= 23+18= 65+29= 69+32= 61+29= 65+19= 35+46= 66+27= 83+16= 17+17= 59+21= 78+13= 26+65= 78+16= 27+34= 36+48= 6. 6. r/ S. 62+39= 76+15= 43+28= 67+28= 59+34= 32+17= 52+39= 14+69= 35+27= 74+18= 32+29= 45+26= 48+16= 43+18=- 18+78= 83+17= 74+17= 49+15= 16+35= 25+38= 9. 10. 11. 19. 28+56= 66+27= 38+25= 59+34= 86+13= 28+33= 27+38= 27+65= 63+28= 55+37= 48+13= 48+27= 47+36= 39+56= 55+27= 34+58= 21+39= 64+28= 23+69= 48+28= 13. 14. 15. 16. 32+29= 16+27= 47+28= 19+32= 56+34= 55+45= 72+19= 65+25= 65+27= 47+37= 37+18= 27+38= 19+56= 64+36= 52+39= 76+16= 35+48= 43+18= 65+26= 39+48= ««c«ocory resowtion tbt chart (ANSI and ISO TEST CHART No. 2) /1PPLIED IM^OE t6S3 Eotl Moin StrMt Roch«ttr, N» York U609 USA (716) ♦82 - 0300 - Phon. (716) 288- 5989 -Fo« Inc 78 EXERCISE 5. 1. a. 46-10= h. 39-10= c. 89-10= d. V4-10= e. 56-10= /. 32-10= g. 67-20= h. 43-20= i. 85-20= 9, 36-20= 62-20= 97-20= 43-30= 85-30= 100-30= 58-30= 84-40= 79-40=. S. 95-50= 57-50= 72-50= 46-30= 81-60= 76-40= 69-30= 63-40= 38-20= 4. 96-40 53-30= 78-60= 95-70= 79-50= 82-30= 67-30= 64-40= 86-60= a, 46 h. 39 c. 56 d. 74 e. 68- / 85- g. 57- h. 78- L 96- 6. 10-2 10-6 = 10-3 = 10-4 = 10-7 = 10-4 = 10-4 = 10-3 = 10-5 = e. 100-10-8 67-10-2 47-10-3 98-10-6 = 36-10-2 = 86-10-3 = 89-10-7 = 55-10-3 = 78-10-6 = 8. 46-12= 39-16= 56-13= P. 85-14= 57-14= 78-13= 10. 100-18= 67-12= 47-13= 74-14= 96-15= 98-16= 36-10-3 = 64-10-2 = 87-10-6 = 49-10-7 = 63-10-1 = 98-10-6 = 58-10-3 = 85-10-4 = 77-10-5 = 11. 86-13= 89-17= 55-13= 78-16-- EXERCISE 6. 79 1. 9. 8. 4- a. 46-13= 58-13= 29-13= 95-14= b. 59-14= 74-11= 66-16= 53-12= c. 99-16= 47-13= 64-13= 37-15= d. 100-12= 69-18= 37-14= 82-11= €. 85-12= 35-12= 92-11= 85-14= / 36-14= 86-15= 79-18= 66-13= 9' 58-12= 68-16= 48-16= 79-16= h. 63-11= 97-13= 77-15= 44-11= i. 74-12= 59-15= 87-17= 68-17= 6. 6. 7. a. 32-10-8= 47-10- -8= 38 -10-7= b. 73-10-7= 61-10- -6= 76 -10-5= c. 65-10-6= d. 44-10-8= e. 84-10-7= / 72-10-6= 76-10-8= 92-10-3= 55-10-8= 85-10-7= //. 56-10-8= 58-10-3= h. 95-10-8= i. 73-10-6= 64-10-5= 83-10-8= 8. 32-18= 72-16= 10 47-18= 73-17= 56-18= 61-16= 65-16= 95-18= 76-18= 44-18= 73-16= 92-13= 58-10-8= 97-10-6= 49-10-4= 87-10-5= 79-10-6= 65-10-4= 96-10-3= 11. 85-17= 58-13= 64-15- 83-18= 80 EXEBCISB 7. a. 37-14 = b. 52-13 = c. 48-15 = d. 73-18 = e. 52-14 = /. 94-15 = g. 66-17 = h. 55-16 = i. 83-18 = 2 94-15 = 42-19 = 75-16 = 83-18 = 38-19 = 61-13 = 76-18 = 54-16 = 85-17 = S. 26-16 = 90-11 = 45-15 = 84-18 = 37-12 = 73-14 = 88-17 = 52-13 = 79-19 = 31-15 63-17 84-12 45-17 73-16 97-18^ 52-13 = 100-17 = 43-18 = a. 50 h. 56 c. 72 d. 64 6. 39 /. 85- g. 43- h. 97- i. 64- 8. 6. 20-4 30-8 = 30-4 = 20-5 10-8 = 30-7 = 20-5 = 40-9 = 40-8 = 9, 6. 92-40-6 = 77-50-8 = 81-60-5 = 66-50-8 = 70-40-6 = 85-30-8 = 69-50-8 = 94-70-7 = 58-40-9 = 10. 7. 55-30-6 78-50-4 65-40-8 51-30-7 93-40-8 74-30-8 = 80-40-4 = 50-30-7 = 45-20-8 = 11. 50-24= 85-37= 92-46= 85-38 = 56-38= 43-25= 77-58= 69-58 = 72-34= 97-49= 81-65= 94-77 = 64-25= 64-48= 66-58= 58-49 = EXERCISE a 81 a. 32-28= b. 46-18= c. 53-25= d. 65-27= e. 83-24= / 95-28= g. 74-26= h, 44-29= i. 66-27= S. «. 94-27= b. 78-36= c. 85-45= d. 69-27= e. 76-47= / 43-26= g. 65-26= h. 82-43= i. 54-26= 2. 75-39= 56-37= 94-46= 47-28= 82-44= 36-19= 55-47= 63-46= 74-48= 6. 29+34= 74-27= 38+43= 83-27= 47-F35= 92-48= 56+38= 51-27= 65+26= 3. 37-29= 85-55= 48-39= 94-66= 59-32= 83-77= 66-23= 72-58= 78-34= 7. 74+38= 32-18= 81-47= 56-27= 49+43= 23+28= 71-34= 85-14= 46+48= 4- 100-56= 96-65= 54-37= 49-27= 63-44= 42-36= 71-42= 86-29= 73-34= 8. 17+48= 56+24= 28-37= 45-28= 51-23= 64+27= 39+46= 81-27= 96-18= Subtract from 100 the {9) {10) (11) {12) {IS) 18 24 34 42 58 17 28 32 43 63 16 23 38 46 47 following numbers : {14) {IS) {16) {17) 38 85 43 38 83 64 25 76 74 35 87 44 32 BXEBCIBE 9. 1, B. 3. 4- a. 54 + 26 = 27 + 45 = 46 + 18 = 46-11= b. 65 + 27 = 78 + 17 = 54-19 = 78-17 = c. 81-14= 36-19 = 71-16^ 36 + 19= d. 36 + 35 = 65 + 26 = 25 + 13 = 65-26= e. 93-55 = 43 + 38 = 42 + 12 = 43-38= / 79+17 = 84-17 = 23 + 46 = 84 + 17 = ff- 42-33 = 52-25 = 32-16 = 93-26= h. 28 + 46 = 93-48 = 27 + 38 = 81-27 = • 53-19 = 81-38 = 49-26 = 36 + 49= S. 6. 7, 8. a. 39 + 14 = 34-17 = 40-24 = 45 + 16 = h. 42+13 = 28 + 14 = 30-15 = 71 + 19= c. 27-19 = 36 + 17 = 40-18 = 56+12= d. 56-18 = 45 + 18 = 50-25 = 38+14= €. 35-14 = 36-19 = 60-16 = 28 + 18= /. 27 + 64 = 29-18 = 70-28 = 91-16= ff' 33 + 28 = 37-28 = 40-27 = 27 + 52 = k 43-15 = 42 + 24 = 60-42 = 34 + 18 = • 68-25 = 33 + 17 = 30-19 = 56-19 = 9. From 100 take 46; 37; 69; 28; 51; 47. 10. Add to itself each number from 10 to 30. (10 + 10, 11 + 11, etc.) 11. Make problems for 100 - 36; 8x7; 4x9; 504(3x4); 50-(6x7); 100-(9x8). ] SXERCISE la 8a Copy and add : a) 24 22 12) 31 26 {3) 43 24 (4) 36 40 25 j42 31 (7) 27 30 iS) 48 30 {9) 20 26 34 40 ill) 45 30 {12) 53 20 27 J3 {14) 48 _32 (IS) 24 66 (16) 34 {17) 45 35 53 27 U5) 27 J6 48 {21) 24 {22) 34 48 45 37 53 29 i^S) 36 48 45 28 {27) n 55 53 _28 {29) 39 36 {30) 28 47 {SI) 17 46 {32) 35 37 {S3) 48 45 {S4) 24 68 {S5) 56 35 .^.'^ 1^ 1*^ ^1^) «^) «^) 39 54 46 37 39 24 28 ^ JiL. ^ J^ _U 37 ^6 65 {42) 64 28 64 BXBBCISB IL Copy and add • • \ (i) (^) (3) (4) (^ (6) 13 22 31 43 12 24 24 43 24 12 41 31 M 24 32 34 36 44 (7) (S) (9) (10) (n) (12) 22 34 41 30 22 25 3e 21 28 47 34 42 32 25 31' 23 24 23 (IS) (U) (IS) (16) (17) (IS) 59 48 25 56 37 14 18 26 44 27 32 24 23 14 23 14 25 52 (ip) im (21) (22) (23) (^4) 27 42 36 53 19 26 34 36 27 18 27 35 24 16 26 27 52 27 (^^ (26) (27) (28) (29) (30) 43 26 40 38 27 33 27 43 24 27 36 42 14 25 14 28 26 15 EXERCISE 12. 86 Dbili, Table A.* a. b. c. d. e. /. (}■ A. i. *. I. m. 1 2 11 12 21 22 31 32 41 42 51 01 62 71 "72 "sT 82 91 92 n. 3 13 23 33 43 53 6? 73 83 03 0. 4 5 14 IF 24 25" 34 44 45" 54 Is" 64" 65 74 76 84" 86 94 95 g- 16 26 36 40 66 66 ~TQ 86 96 r. 7 17 27 37 47 57 67" 77 87 97 a. 8 18 28 38 48 58 68 1% "is" 98 t. 19 29 39 49 69 69^ to" 89 99 u. 10 1 20 30 40 50 80 70 80 90 100 a. h. Dbili, Table B.* «• /. p. A. m u. I 1 11 16 41 46 21 20 61 66 31 36 71 1q 61 56 81 86 91 96 . 3 13 43 23 63 33 73 53 83 93 . 8 18 48 28 68 38 78 58" 88 98" 5 15 45I26 66 36 76 65 85 95 2 12 42 22 62 32 72 52 82 '02 7 17 47 27 67 37 77 57 87 97 4 14 44 24 64 34 74 "ir 84 94 9 19 49 29 69 39 79 59 89 99" 10 20 50 30 70 40 80 60 90 (GO Tablks A AND B. 1 n+ 9 = 2, % + 19 = 3. p+ 8 = 4- P+IS = 5. /• + 15 = 6. t+ 7 = 7. q~ 8 = 8. !Z-18 = 9. 0-17 = 10. m- 9 = 11. ax 7 = 12. 8x « = IS. ax 6 = 14- 9x « = 15. /- ^ 9 = 16. 9- i- 7 = 17. h- '- 9 = 18. €-. - 4 = 19. • t-: - 9 = 20. a-^ - 8 = • The further u«e of these drill tables is BUowa iu the Manual for Teacher. ' .Tl ' -.l-tlW tfO BXBBCI8B 18. Bbiil Tabus 0. a. ft. e. d. e. /. 9' k. i. k. I 1 12 26 34 47 63 67 76 84 06 m. 2 10 22 31 43 52 70 73 87 03 n. 6 16 28 30 41 66 03 70 76 72 83 86 loo 07 02 0. 8 17 21 33 i4 60 62 68 P- 3 15 27 36 40 51 9- 7 20 24 32 46 58 61 80 82 00 r. 4 13 20 38 42 54 60 71 88 06 01 9. 9 18 23 40 45 67 64 77 86 t. 11 30 3d 60 66 66 74 80 08 U, 10 14 25 37 48 60 60 78 81 100 To the numbers from — 1. a to h add 12, 13, 14, 15, 16, 2. a to g 3. a to / 4' tt to e II It It 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 42, 43, 44, 45, 46, '% S. a to d tt 52, 53, 54, 55, 56, i 6. a to c it 62, 63, 64, 65, 66, i From the numbers — 7. c to A; subtract 11, 12, 13, 14, 15, 8. dtok 21, 22, 23, 24, 25, 9. etok 31, 32, 33, 34, 35, 10. f to k 41, 42, 43, 44, 45, 11. g tok 51, 52, 53, 54, 55, 12. htok 61, 62, 63, 64, 65, 17, 18, 19. 27, 28, 29. 37, 38, 39. 47, 48, 49. 57, 58, 59. 67, 68, 69. 16, 17, 18, 19. 26, 27, 28, 29. 36, 37, 38, 39. 46, 47, 48, 49. 56, 57, 58, 59. 66, 67, 68, 69. J. J. J. a. 11 + 11 + 11 = ^. 12+L?+i- = c. 13 + 13 + 13 = «^- 14 + 14 + 14 = €. 15+15 + 15 = /. 16+16 + 16 = Sf- 17 + 17 + 17 = /'. 1S + 18 + 18 = ». 19 + 19+19 = BXBRCISB 14. 11x3 = 12x3 = 13x3 = 14x3 = 15x3 = 16x3=. 17x3 = 18x3 = 19x3 = 4. a. 33-r3 = b. 36-r3 = c. 39-^3 = d. 42^3 = €. 45^3 = / 48--3 = ff- 51-3 = h. 54~S = i. 57-r3 = 8. 13x4 = 16x4 = 18x4 = 15x4 = S. 44-4 = 48 --4 = 52-4 = 56 --4= 60^4 = 64-4 = 68-4 = 72-4 = 76-4 = 9. 48-4 = 64-4 = 72-4 = 80-4 = 6. 11x5 = 12x5 = 13x5 = 14x5 = 15x5 = 16x5 = 17x5 = 18x5 = 19x5 = 14x5 = 17x5 = 18x5 = 13x5 = ©7 8. 11x4 = 12x4 = 13x4 = 14x4 = 15x4 = 16x4 = 17x4 = 18x^^ = 19x4 = 7. 55^5 = 60-5 = 65^5 = 70-5= 75-5= 80-5= 85-5 = 90-5 = 95-5 = 11. 70-5 = 80-5 = 75-5 = 95-^5 = 88 BZEBCISB 16. 1. 11x6 = 2. 11x7 = 3. 11x9 = 4. 14x4 = 12x6 = 12x7 = 11x8 = 15x5 = 13x6 = 13x7 = 12x7 = 13x7 = 14x6 = 11x8 = 13x6 = 14x3 = 15x6 = 12x8 = 12x6 = 15x6 = 16x6 = 11x9 = 13x5 = 14x5 = 5. 12x5 = 6. 12x8 = 7. 16x3 = 8. 14x3 = 13x6 = 13x7= ' 16x5 = 13x3 = 11x8 = 14x7 = 16x4 = 15x5 = 14x7 = 15x6 = 15x5 = 16x5 = 15x6 = 16x6 = 15x4 = 13x5= • 9. 12x8 = 10. 18x5 = 11. 16x5 = 12. 13x7 = 14x5 = 15x3 = 18x4 = 14x5 = 16x4 = 19x5 = 15x4 = 12x7 = 15x5 = 14x6 = 14x7 = 11x9= 17x4 = 13x6 = 12x6 = 15x5 = 13. 96-12= 14^ 78^13= 15. 42-14= 16. 32^16= 88-11= 39-13= 70^14= 64-16= 52-13= 70-14= 98^14= 80^16= 65-13= 56-14= 75-15= 96-16= 91-13= 84-M4- 45^15= 48-M6= BZBBCISB la 1. 68-17 = 51-^17 = 85-rl7 = 36-M8 = S. 64-rl6 = 68-17 = 72-rl8 = 75-15 = 80-16 = • 9. 18 X 4 = 85-17 = 12 X 5 = 11 X 7 = 39-13 = 13. I of 60 = ^of 34 = I of 54 = I of 65 = 2, 54-18« 90-18 = 72-18 = 57-19 = 95-19 = e. 76-19 = 52-13 = 45-15 = 54-18 = 78-13 = 10. 57-19 = 54-18 = 13 X 6 = 16 X 6 = 51-17 = A of 90 = S. 76-19= 80-20= 38-19= 68-17 = 72-18 = 7. 72-18 = 78-13 = 65-13 = 68-17 = 84-14 = 11. 18x 5 = 75-15 = 16 X 4 = 52-13 = 72-18 = IS. 4 of 98 = 3 of 51 = of 85 = 88 45-15 = 75-15 = 51-17 = 65-13 = 60-15 = 8. 48-16 = 70-14 = 84-12= 52-13 = 57-rl9= 12. 39-13 = 19 X 4 = 13 X 6 = 90-18 = 17 X 5 = of 78= I of 91= 1 iof64= I of 45= 1 I of 96= I of 38= iof52= i 16. of 90 = of 65 = lof 72 = of 42=' of 76 = hi :. 90 EXEBCISE 17. 1. 2. S. 4. 76-23- 37 + 48 = 84^ 8 = 76- 3 44 + 48 = 100-69 = 37 + 18 = 19 X 4 37 + 36 = 82 + 18 = 49-16 = 83-29 29 + 52 = 94-18 = 18 X 4 = 17 X 5 80-27 = 67-38 = 90-^ 4 = 48 + 24 ^. 6. /. 8, 85^ 5 = 25 + 46 = 47 + 18 = 19 X 5 13x 7 = 82-29 = 18 X 4 = 27 + 56 82-46 = 17 X 5= . 73-27 = 90^ 4 70^ 9 = 43 + 29 = 48 + 36 = 16 X 4 = 44 + 27 = 13 X 6 = 76^ 3 = 43-19 = 9. 10. 11. 12. 72-- 4= 18 X 4= 78^ 3 = 16x 5 = 13 X 3 = 87 -^ 9 = 48+18 = 68-r 4 = 25 + 58 = 69-35 = 19x 3 = 91-52 = 41-27 = 84 + 16 = 37 + 65 = 27 + 48 = 38 + 16 = 98-^ 5 = 86-48 = 14x 7 = 13. 14. 15. 45 + 38= 65-37 = 16. 17 + 58= 100-- 3 = 16x 6= 100^ 6= 14x 7= 13x 7 = 18x 3= 63 + 29= 85-66= 36 + 38 = 51-29= 17x 4= 54 + 39= 15x 4= 100^ 7= 83^ 4= 100-^ 8= 74-28=' SECTION VI. EXERCISE 1. times as much as ~~ t™ "^ as much IS -?. 4 apples will cost — 1 apple. ^. 10 peaches will cost as 1 peach. ^. 1 lamp will cost i as much as - lamns 5. 2 cents are what part of 3 cents? I cent - of 3 cents. 2 cents are _ of 3 cents 6. 3 dollars is what part of 8 dollars? 1 dollar 18 _ of 8 dollars ^ ,l„ii 8 dollars. *'''"'"■" "'"^ - "^ books? 1 book will cost _ as much as 5 books books? 2 bo'„r"rr' '^'"' P«'-' - ■»->> as 5 books? 2 books will cost -as much as 5 books cost of ?n ;,r* '•" ''°"»''^' ^ l«>«kwil S cost 2 tin. '''/n - ''""''^«- 2 books "/ If it ,!r T '*°"'"^' "'■ - dollars. 10. If ,t takes a boy four hours to do a nionp Of work. It would have taken 2 boys - ^ 62 EZEBCISE 2. 1. If I can buy 20 lb. of sugar for a dollar, what will 4 lb. cost? 6 lb.? 15 lb.? 2. Four men can build a wall in 6 days. It will take one man — days to build it. 3. At 1|^ each, how much will it cost to get washed at the laundry 12 collars and 8 pairs of cuflfs? 4' 16 gallons are how many quarts more than 32 quarts? How many gallons less than 100 quarts ? 5. What is the cost of 8 apples at 2 cents apiece? If 1 apple costs 2 cents, 8 apples will cost 8 times 2 cents. 8 times 2 cents are . 6. At 3 cents apiece, what will 9 oranges cost? 9 oranges will cost 9 times as much as 1 orange. 9 times 3 cents are — cents. 7. If four pencils cost 12/, 1 pencil will cost — of 12/, or — /. 5 pencils will cost 5 times — /, or — /. 4 pencils cost 12/. 1 pencil cost — /. 5 pencils cost — /. 8. 3 bottles of ink cost 24/. 1 bottle of ink cost — /. 8 bottles of ink cost — /. EXERCISE a d3 1. At 6 cents a pound, what will 12 lb of meat cost? What will 4 lb. 8 oz. cost? ^' 4 tops cost 12/. 1 top cost — /. 9 tops cost — A ^. 12 apples will cost — times as much as 3 apples. If apples cost 2/, 12 apples will cost — times 2/, or — /. 4' A pound of n.eat costs 20 cents. What can you say about 2 pounds? about 30 bents? If a pound of meat costs 20 cents, 2 i)ounds will cost — cents. For 30 cents I can buy — pounds of meat at 20 cents a pound. 5. A boy can saw one-half a cord of wood in a day. What can you say about 1 -^ord ? about 2 cords? about 6 days? about 2 boys? 6. A man earns |7 a week. How much will he earn in a quarter of a year? 7. If a man smokes 3 cigars every week-day and 4 on Sunday, how many will he smoke during a month of 4 weeks ? 8. Name two equal numbers whose sum is 35 + 37. 9. Name three equal numbers whose sum is 38 + 46. B 94 BXBBCISE 4. 1. Name four equal numbers whose sum is 34 + 50. 2. A purse contains one dollar. How many times may 10 cents be taken from it? 2 cents? 4 cents? 3. How many "nickels" or five-cent pieces in 90 cents? 4' What five coins may make 82 cents? S. Charles has 25 cents and Edward 17 cents. How many cents mus^ Charles give Edward '•at both may have the same amount? o. I of what number is equal to | of 50? 7. How many days in the months of June, July and August ? 8. What two months, one following the other, have together 62 days? 9. Provide yourself with a long string and measure off 16^ feet. Tie a knot at the end of every foot and tie a little piece of colored string at the end of every yard. This string is just 1 rod long. How many feet in 1 rod? Keep this string to measure distances. 10. In 10 ft. there are — yd. and — ft. 11. In 14 ft. there are — yd. and — ft. 12. In 1 rod there are — yd. and — ft. 13. There are how many yards in 1 rod? EZERCI8B 6. 06 1. " Guess " and then measure the following distances. Give the difference between your estimate and the true measure. Make a table as follows: DiSTAirCK. Estimate. True Measvbe. Erbob. Length of school-room Height of window Width of school grounds Length of this page Your height Width of winduw-pane Height of teacher's desk ....... — —^——^— Distance around your hat 2. How many rods and feet wide is the lot upon which your school-house is placed? 8. In 20 ft. there is — rd. and ft. 4, In 8 yd. there is — rd. and yd. I 06 BiXBBCISB 6. I^ln2 rd. there are — ft. How many ft. m 3 rd.? in 4 id.? ^. In 40 ft. there are — rd. tmd ft. 3. In 50 ft. there are — rd. and ft. 4' In 70 ft. .there are — rd. and ft ^^•. \}^ I^' ^^^"^ ^'^ - ^^- How many rd. m 22 yd.? ^ 6. In 30 yd. there are — rd. and -^ yd. 7. A room is 4 yd. long. How many feet longer must it be to be a rod long ? 8. A farmer owned 100 acres of land. He planted i of it with potatoes and the rest with com. How many acres did he plant with corn? 9. There are 24 hours in a day. How many hours in 3 days? 10. How many 5 cent pieces make a half- dollar ? 11. 24 sheets of paper make one quire How many sheets in 2 quires? in 3 quires? How many quires and sheets are 50 sheets ? 12 If it takes 12 panes of glass for one window, how many windows can be made with 48 panes of glass? 13. How many shoes will be needed for 8 horses ? How many for 4 yoke of oxen ? BZBBCI8B 7. g_ i- ^"^ """"y qn«rts in 12 gal.? in 15 gal » ^. How many yards and how many feet besides are there in 40 feet of string? f How many dozen pens and what na-t «f a^^ao.en, at 1 cent each, can you^^ £ 6. How many faces have 8 cubes? r: How many faces have 12 cylinders? 23 shtp'^anT"'' "7. '' ^"^P" '» """""er sneep, and m another 31 shppn ii„ many in the th,^e pastui^s? ^^ ^'"' ^^How many pecks in 9 bushels? m How many quarts in 6 pecks? beiiaTrcera'';^-- Quarts Of in f.^7 *"* *^ P'**"*' '" " stmwberry bed L' «q-l rows. How many plants in'e^h iS. What number do von nnf «r-*u the following „umbers\rmrk ^ Tie 18, 25 34, 45, 15, 21, 38 and 20? ' ' 14. How many leaflets in 12 clovere? 98 BXBBCISB 8. 1. There are 95 pages in one book and 40 pages in another book. How many more pages in the first than in the second book? 2. How many cows in 5 fields? 40 in the first, 25 in the second, 32 in the third, 14 in the fourth, 27 in the fifth. 8. How many sheets of paper in 2| quires? How many quires and sheets in 45 sheets? 4- If there are 18 buttons on one card and 24 buttons on another, how many buttons on both ? 5. How many mittens in 15 pairs? 6. Into how many yard-sticks can a stick be cut which is 36 ft. long? 45 ft. long? 7. When cloth is 25 cents a yard how manv yards can you buy for a dollar? 8. A little boy spent 25 cents and 15 cents and 30 cents out of a dollar bill. How much money had he left? 9. If 45 cents will buy 9 yards of calico what will 1 yard cost? 10. Mary had 24 cents in .5-cent pieces. How many 5-cent pieces were there? 11. In one car there were 84 people, and in the second Q5. How many more in the first car than in the second? BXBBCISB 9. gg flies? °*"' """"^ ''^' '"'^' ^ «P' ''t 2 'ij»^K5foiiJgJ'£i!!»{'«^'« mMMm ii^i^: rturfjt* ,w«