SIMPLE NUMBERS. 1. Alfred rode his bicycle for 3 consecutive hours; the first hour he rode 10 miles; the second hour, 8 miles; the third hour, 6 miles; altogether he rode average speed was (24 ÷ 3) miles; his miles an hour. 2. A farmer bought 20 sheep; for 10 of them he paid $35, and for the other 10, $25; for all he paid the average cost per head was dollars. dollars; (a) If 8 cows cost $204, what is the average cost per head? (b) Five boys were examined in received were 90, 95, 85, 80, and 75. age standing of the boys? spelling; the marks What was the aver (c) The temperature at noon of each day for 1 week was as follows: Sunday, 94; Monday, 91; Tuesday, 96; Wednesday, 95; Thursday, 90; Friday, 89; Saturday, 89. What was the average temperature at noon for the week? (d) Six beef cattle weighed as follows: 1560 lb., 1430 lb., 1640 lb., 1350 lb., 1420 lb., and 1660 lb. What was the average weight per head? REVIEW. 3. The prime factors of 70 are (e) What are the prime factors of 195? 4. 2, 3, and 7 are the prime factors of (g) Multiply 864 by 50 and (f) of 185? Forty-two by; by (h) Divide 7650 by 50. COMMON FRACTIONS. 1. Add and . The 1. c. m. of 16 and 6 is (a) Find the sum of 3767, 2541⁄2, 321§, and 342. (b) Find the difference of 6274 and 842%. 3. Multiply by 8. This means 6 (c) Find the product of 357 multiplied by 8. 4. Multiply 1 by . This means (d) Find the product of 573% multiplied by 4. 5. Multiply 19 by . This means (e) Find the product of 643 multiplied by . 6. Multiply 19 by 2%. This means (f) Find the product of 643 multiplied by 4. 7. Multiply 15 by 21. This means (g) Find the product of 345 multiplied by 4. 8. Divide 8 by 3. (Change 8 toths.) (h) Find the quotient of 86 divided by . Story. (i) Find the quotient of 3 divided by . Story, 11. Divide $1 (8) by 5. This means (k) Find the quotient of 84 divided by 9. (1) Find the quotient of 453 divided by 4. 4* 1. Divide .45 by .09. This means (a) Find the quotient of 46.75 divided by .25.† Story. 2. Divide 9 by .6. This means 9* (b) Find the quotient of 874 divided by .5.‡ Story. 3. Divide 6 by .05. This means 14* (c) Find the quotient of 96 divided by .25.§ Story. Division. Case II. 5* 5. Divide $.63 by 7. This means Story. Story. Story. (h) Find the quotient of $87.15 divided by 7. Story. (i) Find the quotient of $375.50 divided by 25. Story. (1) Tell the meaning of each of the following, (2) solve, and (3) tell a suggested number story: (j) Divide $256 by $8. (n) Divide $53.6 by $.8 (k) Divide $256 by 8. *These figures refer to notes on pages 8 and 9. +Find how many times 25 hundredths are contained in 4675 hundredths. Find how many times 5 tenths are contained in 8740 (874.0) tenths. ? Find how many times 25 hundredths are contained in 9600 (96.00) hundredths. Find how many times 25 hundredths are contained in 4650 (46.50) hundredths. ¶ Find how many times 25 tenths are contained in 575 (57.5) tenths. ** Find how many times 25 hundredths are contained in 6850 (68.50) hundredths. Find how many times 25 hundredths are contained in 7600 (76.00) hundredths. 6. George bought a ream of paper for $2 and sold it at the rate of 2 sheets for a cent; he gained cents. 7. Arthur bought a ream of paper for $2.25 and sold it at 154 a quire; he gained cents. REVIEW. 8. Ten thousand feet are nearly miles. miles. 9. Fifteen thousand feet are nearly (a) Twenty thousand feet are how many feet less than four miles? (b) Five miles are how many feet more than 25000 feet? 10. One thousamd feet are nearly one -th of a mile. (c) Two fifths of a mile are how many feet more than 2000 feet? (d) of a mile, than 3000 ft.? MEASUREMENTS. 1. In one cubic yard there are cubic feet. (a) To dig a cellar 15 feet long, 12 ft. wide, and 6 feet deep would require the removal of how many cubic feet of earth? (b) How many cubic yards? (c) How many square feet in the floor of the cellar described in problem (a)? (d) How many sq. yards? 2. To make an excavation 2 yards long, 2 yards wide, and 2 yards deep would require the removal of cubic yards. (e) How many cubic feet in the excavation described in problem 2 ? 3. The area of one of the faces of a 2-yard cube is square yards; of all the faces, square yards. (f) The area of all the faces of a 2-yard cube is how many square feet? REVIEW. 4. A piece of land 20 rods by 8 rods contains (g) How many acres in a piece of land 20 rd. by 46 rd.? 5. A shed 16 feet long, 10 feet wide, and 6 feet high contains cubic feet. (h) How many cords of wood will the shed described in problem 5 contain? Find the number of acres in each of the following: (i) 80 rods by 24 rods. (k) 20 rods by 52 rods. (j) 40 rods by 73 rods. (1) 30 rods by 84 rods. Find the number of cords in each of the following: (m) 8 ft. by 12 ft. by 8 ft. (0) 16 ft. by 4 ft. by 8 ft. (n) 16 ft. by 8 ft. by 8 ft. (p) 20 ft. by 8 ft. by 8 ft. |