REVIEW.

1. The prime factors of 63 are

and

(a) What are the prime factors of 215? (b) Of 470?

2. Three, 3, 3, and 2 are the prime factors of

(c) Of what number are 3, 5, 2, and 23 the prime factors?

3. Add and. The 1. c. m. of 8 and 3 is

(d) Add,, and . The 1. c. m. of 9, 12, and 3 is

(g) Twenty-six and one half rods are how many feet?

(j) How many yards in 42 rods? (k) In 64 rods?

8. When wheat is 70¢ a bushel, 240 lb. cost

(1) When wheat is 90¢ a bushel, how much will one ton of wheat cost?

9. A pile of wood 32 feet long, 4 feet wide, and 4 feet high contains

cords.

(m) How many cu. ft. in a pile of wood 32 ft. by 4 ft. by 2 ft.?

10. If 12 lb. of sugar are worth 454, at the same rate 8 lb. are worth

cents.

(n) If 12 boxes of soap are worth $22.50, how much are 8 boxes worth at the same rate?

MISCELLANEOUS PROBLEMS.

1. The perimeter of a rectangular surface 7 feet by 9 feet is

feet.

(a) How many rods of fence are required to enclose a rectangular field 38 rods by 54 rods?

2. If the sun rises at 7 o'clock and sets at 4:30, from sunrise to sunset it is hours and minutes.

(b) If the sun rises at 7:14 and sets at 4:28, how long is it from sunrise to sunset?

3. A man bought 16 dozen eggs at 10¢ a dozen; he lost 25 per cent of them by decay; he sold the remainder at 12¢ a dozen; he lost

cents.

(c) A man bought 360 dozen eggs at 94 a dozen; he lost 25% of them by decay; he sold the remainder at 114 a dozen. How much money did he lose?

is

4. From midnight Monday to midnight Wednesday it

hours.

(d) How many hours in a week? (e) In the month of January?

cost

5. At 45¢ each, 3 copies of "Robinson Crusoe" will dollar and cents; for $1.80 I can buy

copies.

(f) How much will 7 copies of "Robinson Crusoe" cost? (g) How many copies of "Robinson Crusoe" can I buy for $10.35? (h) For $4.95?

(i) Add four thousand three hundred twenty-four and twenty-five thousandths, and seven hundred forty-six and thirty-four hundredths, and seventy-five and eight tenths.

(j) From forty-five hundred subtract forty-five hundredths.

*This means, find how many times 70 lb. are contained in 8540 lb. 70 lb. are contained in 8540 lb. times. Story-In 8540 lb. of ear corn there are

bushels. lb. Story

lb. in each sack.

†This means, find 1 twentieth of 1480 lb. 1 twentieth of 1480 lb. is -I wish to put 1480 lb. of wheat into 20 sacks; I must put

COMMON FRACTIONS.

1. Add and 12.

*

(a) 375+256.

2. From 7 subtract 24.† (b) 3467 – 1282.

16. At $8 per ton, 2 tons of hay cost

*The pupil is expected to find by trial that the 1. c. m. of 10 and 12 is

Take 1 from the 7, change it to fifths and add it to the }.

In problems 9 to 13 inclusive, think of the number to be multiplied as the price per yard; this will suggest the following:

DECIMAL FRACTIONS.

(a) Multiply $546 by 3.24. This means, find 3 times $546, plus 2 tenths of $546, plus 4 hundredths of $546.

(b) Multiply $437 by 2.36; (c) $375 by 5.27. (d) Multiply $352 by 6.21; (e) $284 by 7.32.

(f) Multiply four hundred seventy-three dollars by four and thirty-five hundredths.

(g) When oil meal is $28 a ton, how much will 4680 lb.

* One hundredth of 8.2 is .082. The pupil should write the decimal point in the first partial product immediately after writing the tenths' figure of the partial product.