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pounds. * pounds.*

1. 500 lb. are

of a ton. 2. 1500 lb. are

of a ton. 3. 1000 lb. are

of a ton. 4. 200 lb. are

of a ton. 5. I weigh pounds. 6. My father's horse weighs pounds. 7. A keg of nails weighs 100 pounds. 8. One ton of nails is kegs. 9. A load of hay weighs from to 10. A load of coal weighs from to 11. When hay is $12 a ton, 1000 lb. cost 12. When coal is $8 a ton, 1500 lb. cost 13. When meal is $16 a ton, 500 lb. cost 14. When hay is $6 a ton, 200 lb. cost 15. When hay is $7 a ton, 200 lb. cost 16. When hay is $5 a ton, 200 lb. cost 17. When hay is $8 a ton, 200 lb. cost 18. When hay is $6 a ton, 2200 lb. cost 19. When hay is $8 a ton, 2200 lb. cost 20. When hay is $5 a ton, 2200 lb. cost 21. 2500 lb. are and

tons. 22. 3000 lb. are and

tons. 23. 4500 lb. are and

tons. 24. 5000 lb. are and

tons. 25. When hay is $12 a ton, 2500 lb. cost 26. When hay is $10 a ton, 3000 lb. cost 27. When hay is $8 a ton, 4500 lb. cost

* When you see a load of hay or a load of coal, courteously ask the man in charge of it to tell you how much it weighs.

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inches.

9. The area of a 2-inch square is 10. The solid content of a 2-inch cube is 11. The area of a 3-inch

square

is 12. The solid content of a 3-inch cube is

inches.

13. The area of a 2-foot

square
is

feet. 14. The solid content of a 2-foot cube is 15. Find the area of— Find the solid content of—-*

(1) A 4-inch square. (a) A 4-inch cube.
(2) A 5-inch square.

(b) A 5-inch cube.
(3) A 6-inch square.

(C) A 6-inch cube. (4) A 12-inch square.

(d) A 12-inch cube. *Problems designated by letters are for the slate.

RATIO AND PROPORTION.

*

1. One fourth of 20 is

20 is į of 2. One half of 11 is

11 is of 3. One third of 10 is

10 is į of 4. One fifth of 45 is

45 is į of 5. Two thirds of 60 are

60 is of 6. Two thirds of 36 are

36 is į of 7. Two thirds of 15 are

15 is ģ of 8. Two thirds of 21 are

21 is ģ of 9. 10 is of 15. 15 is -† of 10,

times 10. 10. 15 is of 20. 20 is

of 15, or

times 15. 11. 20 is of 25. 25 is of 20, or — times 20. 12. 25 is of 30. 30 is

of 25, or times 25. 13. Three fourths of 16 are 2 thirds of 14. Two thirds of 15 are 1 half of 15. Three fourths of 24 are 2 thirds of 16. Two thirds of 12 are 1 third of

or

can

earn

17. Eight is

of 12. A man as much in 8 days as he can earn in 12 days. If he can earn $21 in 12 days, in 8 days he can earn dollars. 18. Fifteen is and

times 6. A man can times as much in 15 days as he can earn in 6 days. If he can earn $10 in 6 days, in 15 days he can

dollars. (a) If a man can earn $104 in 6 weeks, how much can he earn in 15 weeks.

earn

earn

* It may be well, after the pupil has solved “mentally” such problems as Nos. 5 and 6, to require him to solve them with a pencil-this, as a preparation for similar problems in which larger numbers are used.

† Allow the pupil to say, “15 is 3 halves of 10," but remind him that the expression “3 halves of 10," means, 3 times 1 half of 10.

PERCENTAGE.*

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50 per cent=.50 1.
25
per

cent=.25 1
33} per cent =.33} = j.

20 per cent = .20 = š.
(1)†

(2)| 1. 50 per cent of 10 = 10 is 50% of 2. 25 per cent of 12 = 12 is 25% of 3. 33} per cent of 12 12 is 331% of 4. 20 per cent of 10

10 is 20% of 5. 50 per cent of 8

8 is 50% of 6. 25 per cent of 8 =

8 is 25% of 7. 20 per cent of 15

15 is 20% of 8. 33} per cent of 15 = 5 15 is 333% of (3)

(3) 9. 5 is per cent of 10.

5 is

-% of 20. 10. 5 is per cent of 15.

5 is -% of 25. 11. 4 is per cent of 8.

4 is

-% of 12. 12. 4 is per cent of 16.

4 is

-% of 20. 13. 3 is per cent of 6.

3 is % of 15.

14. Henry had 25 cents; he spent 20 per cent of his money; he spent cents.

15. Peter spent 10 cents; this was 25 per cent of all he earned; he earned cents. 16. Roscoe earned 60 cents and spent 30 cents; he spent

per cent of what he earned.

*TO THE TEACHER.–Frequently review this page, and give many similar oral problems as a preparation for page 27.

These figures designate the percentage cases to which the problems below them belong.

PERCENTAGE.

(1)
1. 50% of 18 is
(a) Find 50 per cent of 724;
2. 25% of 16 is
(c) Find 25 per cent of 896;
3. 331% of 18 is
(e) Find 33į per cent of 726 ;
4. 20% of 25 is
(g) Find 20 per cent of 875;

50% of 19 is
(b) of 725.
25% of 17 is
(d) of 897.
331% of 19 is
(f) of 727.
20% of 26 is
(h) of 877.

(2) 5. 7 is 50% of

7] is 50% of (i) 376 is 50% of what ? (j) 3764 is 50% of what? 6. 9 is 25% of

91 is 25% of (k) 524 is 25% of what? (1) 5244 is 25% of what ? 7. 8 is 331% of

81 is 331% of — (m) 652 is 331% of what ? (n) 6524 is 331% of what ?

(3)

8. 11 is 9. 11 is 10. 15 is

-% of 22.
-% of 44.
-% of 30.

11 is
11 is
30 is

-% of 33.
-% of 55.
-% of 60.

(1) 11. One per cent (1%) of a number is 1 hundredth of the number; 2% is 2 hundredths; 3% is 3 hundredths.

12. One per cent of 500 is 2% of 500 is 13. One per cent of 600 is

3% of 600 is

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