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? (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 are worth 8 lb. 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 104 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 9¢ a dozen; he lost 25% of them by decay; he sold the remainder at 11¢ 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. (1) 347 by 70. (m) 8540 lb. by 70 lb.* (0) 575 by 70. (p) 9470 lb. by 70 lb. (k) of 430 ? (n) 1480 lb. by 20.† Divide. (q) 1350 lb. by 20. *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. This means, find 1 twentieth of 1480 lb. 1 twentieth of 1480 lb. is -lb. Story -I wish to put 1480 lb. of wheat into 20 sacks; I must put lb. in each sack. 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: Problem 9, 24 yd. of ribbon at 20¢ a yard. Problem 11, 6 yd. of ribbon at $3 a yard. yd. of ribbon at $1 a yard. Problem 12, $62 is dollars. of dollars. Story-At $6 a ton, 21 tons of 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. cost? (4680 lb. = tons.) * 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. |