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Find the L.C M. of: 2. 24 and 36 5. 56 and 70 8. 22, 44, and 88 3. 36 and 48 6. 42 and 54 9. 36, 42, and 54 4. 32 and 48 7. 30 and 40 10. 54, 72, and 90 Find the G. C. D. of: 11. 30, 34; 36, 40; 24, 36; 48, 80; 40, 65; 144, 168. Write the prime factors of: 12. 15, 40, 48, 54, 60, 77, 92, 84, 120, 96, 140, 210. Find the L. C. M. of:

13. 4, 9, and 12; 3, 9, and 7; 6, 12, and 14; 6, 8, and 10; 3, 5, and 7; 2, 9, and 5.

MISCELLANEOUS WORK

LESSON 30

1. Why are 9 and 17 prime to each other?

2. If of a barrel of oil equals 30 gallons, how many gallons equal of a barrel ?

3. Find the cost of 21 cwt. of sugar at 6¢ a pound. 4. Change 1, š, , and to 12ths; 24ths.

5. At 121$ each, how many articles can be bought for $1?

6. Find the cost of 24 dozen plates at 5$ apiece. 7. What is subtraction ? Division ? Quotient ? 8. What does the denominator of a fraction show ? 9. What is a decimal fraction ? 10. In .444, the second 4 is what part of the value of the first 4 ? How many times the value of the third 4 ?

11. In changing yards to rods, what is your divisor?

12. In changing 31 to 9ths, by what number do you divide both numerator and denominator ?

13. When 12ths are changed to 3ds, are the fractional parts larger or smaller ?

14. If you divide both terms of 1'. by 3, will the value of the fraction be changed ? Multiply:

Divide:

Multiply: 15. 3.6 x 1.8 20. .88 by 8 25. 93 by 8 16. 3.06 x.7 21. .72 by .3 26. 9.3 by .8 17. 51.6 x .04 22. 10.15 by 5 27. 141by 6 18. 30.6 x .12 23. 100.25 by .5 28. 424 by 8 19. 7.001 x 3.6 24. 75.025 by .5 29. $3.63 by .3

30. A man has a piece of land 18 rods long and 15 rods wide.

How many square yards does it contain? How many rods of fence will be needed to inclose it? How much will the fence cost at 18€

per

foot ?

LESSON 31

99

Write as common fractions, and change to their lowest terms: 1. .25 3. .04 5. .8 7. .55

9. .95 2. .35 4. .05 6. .08 8. .75

10. .84 Write as decimals : 11. 41%

13. 79-25
100 15. 49-89

100

17. 63,0 12. 648 14. 864

18. 79180 19. At $.08 a yard, how many yards of muslin can I buy for $8? $80 ?

20. If it takes 9.4 yards of cloth to make one suit of clothes, how many suits can be made from 564 yards ?

16. 361000

Find the L.C M. of: 2. 24 and 36 5. 56 and 70 8. 22, 44, and 88 3. 36 and 48 6. 42 and 54 9. 36, 42, and 54 4. 32 and 48 7. 30 and 40 10. 54, 72, and 90 Find the G. C. D. of: 11. 30, 34; 36, 40; 24, 36; 48, 80; 40, 65; 144, 168. Write the prime factors of: 12. 15, 40, 48, 54, 60, 77, 92, 84, 120, 96, 140, 210. Find the L. C. M. of:

13. 4, 9, and 12; 3, 9, and 7; 6, 12, and 14; 6, 8, and 10; 3, 5, and 7; 2, 9, and 5.

MISCELLANEOUS WORK

LESSON 30

1. Why are 9 and 17 prime to each other?

2. If of a barrel of oil equals 30 gallons, how many gallons equal of a barrel ?

3. Find the cost of 21 cwt. of sugar at 6¢ a pound. 4. Change 1, ğ, 4, and 5 to 12ths; 24ths.

5. At 123$ each, how many articles can be bought for $1?

6. Find the cost of 24 dozen plates at 5$ apiece. 7. What is subtraction ? Division ? Quotient ? 8. What does the denominator of a fraction show ? 9. What is a decimal fraction ? 10. In .444, the second 4 is what part of the value of the first 4? How many times the value of the third 4 ?

11. In changing yards to rods, what is your divisor ?

12. In changing 37 to 9ths, by what number do you divide both numerator and denominator ?

13. When 12ths are changed to 3ds, are the fractional parts larger or smaller ?

14. If you divide both terms of 12 by 3, will the value of the fraction be changed ? Multiply: Divide:

Multiply: 15. 3.6 x 1.8 20. .88 by 8 25. 913 by 8 16. 3.06 x .7 21. .72 by .3 26. 9.3 by .8 17. 51.6 x.04 22. 10.15 by 5 27. 14% by 6 18. 30.6 x .12 23. 100.25 by .5 28. 424 by 8 19. 7.001 x 3.6 24. 75.025 by .5 29. $3.63 by .3

30. A man has a piece of land 18 rods long and 15 rods wide. How many square yards does it contain? How many rods of fence will be needed to inclose it? How much will the fence cost at 18%

per

foot ?

LESSON 31

Write as common fractions, and change to their lowest terms: 1. .25 3. .04 5. .8 7. .55

9. .95 2. .35 4. .05 6. .08 8. .75

10. .84 Write as decimals : 11. 411

100

16. 36-8.0.1 19. At $.08 a yard, how many yards of muslin can I buy for $8? $80 ?

20. If it takes 9.4 yards of cloth to make one suit of clothes, how many suits can be made from 564 yards ?

15. 49103%

13. 79 16
14. 864

17. 6310 18. 79107

12. 641%

21. If 21 oranges cost $], how many oranges can be bought for $11?

22. Find the L. C. M. of 8, 12, and 16.

23. If 9 bottles of chowchow cost $27, how much will a dozen bottles cost ?

24. Change to 15ths ; to 28ths ; & to 24ths. 25. Change to lowest terms: 14, 14, 16, 18, 38. 26. Divide by 4; 1by 5; 1 by 3; 14 by 4; 1; by 6.

27. If of a ton of straw is worth $4, what part of a ton can you buy for $1 ?

28. At $a day, how many dollars will a boy earn in 10 days ?

29. How many pieces 4 inches long can be cut from a yard of ribbon? From 1ị yards ?

30. A farmer sold Z of his chickens and had 12 left. How many chickens had he at first ?

31. At $1 a peck, how many bushels of wheat can you buy for $6?

32. How many bottles holding of a pint each will be required to hold 27 gallons of ink ?

33. What part of $1 is 10 cents ? 20 cents ? 25 cents ? 50 cents ? 75 cents ? 122 cents ? 33} cents ? 165 cents ? 663 cents ?

LESSON 32

1. How many rods of wire fencing will be required to go round a rectangular field 462 feet long and 330 feet wide? How much will the wire cost at $1.60 per rod ?

2. If 1 lb. 7 oz. of butter cost 46¢, how much will 5 lb. 14 oz. cost ?

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