DIVISION

Lesson 14

In the following examples give the statements of balance:

1. What must 8 mi. be multiplied by to give 72 mi.? If a boy travels 72 mi. on a bicycle at the rate of 8 mi. an hr., how many hours is he travelling?

2. 6 is one factor of 42, what is the other? If 6 lb. of dates cost 42, what is the price per lb.?

3. At 5 a lb. how many pounds of sugar can you buy for 80?

4. A horse trotted 48 mi. in 6 hr. How many miles an hour did he average ?

5. In the preceding four questions name the given quantity, the measuring unit, and the number of units in the quantity.

6. Reduce to quarts: 18 pt.; 25 pt.; 36 pt.; 43 pt.; 57 pt.; 128 pt.; 141 pt.

7. Find the number of strips of carpet each 2 ft. wide required to carpet a room 16 ft. wide; 20 ft. wide; 26 ft. wide; 17 ft. wide.

8. Reduce to yards: 42 ft.; 96 ft.; 105 ft.; 141 ft.; 186 ft.; 204 ft.; 167 ft.; 343 ft.; 196 ft.

9. How many strips of carpet each 3 ft. wide will be required to carpet a room 24 ft. wide? 33 ft. wide? 20 ft. wide?

10. Reduce to gallons: 28 qt.; 37 qt.; 56 qt.; 86 qt.; 107 qt.; 260 qt.

11. Find the number of school weeks in 20 school days. In 35 da. In 100 da. In 200 da.

12. If a man works 6 days a week, in how many weeks will he work 96 da.? 150 da.? 192 da.? 222 da.? 264 da.?

13. Reduce to weeks: 84 da.; 98 da.; 126 da., 175 da.; 240 da.; 365 da.

pecks:

14. Reduce to 40 qt.; 58 qt.; 72 qt.; 125 qt.; 197 qt.; 215 qt.; 288 qt.

15. Reduce to square yards: 81 sq. ft.; 108 sq. ft.; 164 sq. ft.; 200 sq. ft.; 243 sq. ft.

16. Reduce to dimes: 80; 120; 93; 168; 248; 290; 312; 415.

17. Reduce to meters: 40 dm.; 70 dm.; 82 dm.; 94 dm.; 99 dm.: 100 dm.

18. How many yards in 1 rod? Measure off 1 rd. in the schoolroom. Measure this distance again with a unit half a yard in length. Count the number of half-yards in 1 rd. How many?

19. What is the number of rods in 33 half-yd.? 66 half-yd.? 88 half-yd.?

20. Divide by 11: 75; 92; 132; 189; 210; 265; 331; 484.

21. Reduce to feet: 72 in.; 89 in., 117 in.; 169 in.; 254 in.; 288 in.

22. How many dozen are there in 60 units? 93 units? 384 units?

Quarts to
Square

23. State how you reduce a quantity expressed in pints to quarts. Quarts to gallons. pecks. Inches to feet. Feet to yards. feet to square yards. Days to weeks. dimes.

Lesson 15

Cents to

1. What must 5 lb. be multiplied by to get 40 lb.? 40 lb. of butter is packed into pails each containing 5 lb.

How many

?

2. 4 is one factor of 36, what is the other? If 4 yd. of ribbon cost 364, what is the price per yd.? 3. A pail contains 9 qt. of water. How many quarts will be left in the pail after 8 pt. are taken out?

4. What will a dozen oranges cost at the rate of 3 for 10%?

5. How many lemons can I buy for 50 at the rate of 4 for 10¢?

6. A man travels 18 mi. at the rate of 6 mi. an hr., and returns immediately at the rate of 9 mi. an hr. How many hours is he gone?

7. A man drove to the city in 3 hr. at the rate of 8 mi. an hr., remained 2 hr. to transact business, and returned at the rate of 6 mi. an hr. How long was he

gone

?

8. A dairyman traded 4 horses worth $90 apiece for cows worth $30 apiece. How many cows did he get?

9. If 3 lb. of rice cost 24, what will 2 lb. cost?

10. I select the cheaper of two rugs, one of which costs. $48 and the other $66. With the difference in price, how many chairs can I buy at $6 apiece?

11. A room is 10 yd. 2 ft. long. How many steps will a boy take in walking the length of the room if he steps 2 ft. each time?

12. A room is 12 ft. wide. How many strips of carpet each 2 ft. wide are needed to carpet it? How many yards of carpet are needed if the room is 15 ft. long?

13. A room is 15 ft. wide and 18 ft. long. How many yards of carpet are needed to carpet it, if the carpet is 3 ft. wide, the carpet running lengthwise?

14. A room is 20 ft. wide and 24 ft. long. How many yards of carpet are needed to carpet it, if the carpet is 2 ft. wide, the carpet running lengthwise?

15. If two 5-lb. pails of butter cost $1.05, what will 20 lb. cost?

16. If 6 bu. of corn cost $3, what will 30 bu. cost? 17. What is the cost of 12 boxes of berries at 3 for 25¢?

18. A farmer's wife sold to a grocer 8 lb. of butter at 18 a lb. and took in exchange raisins at 12 a lb. How many pounds of raisins did she get?

19. A man divided 3 lb. 8 oz. of candy equally among 4 children. How many ounces did each get?

20. Some workmen work 9 hr. a day at 24 an hour. They demand the same daily wages for an 8-hr. day. How much would that be per hour?

21. What is the cost of 5 qt. 1 pt. of milk at 24¢ a gal.?

22. To how many customers does a milkman sell 8 gal. 1 qt. of milk if he sells 3 pt. to each customer?

23. I bought 7 chickens giving for them a $2 bill and receiving in change 25. What did they cost apiece?

24. A grocer buys 6 baskets of peaches at 30 a basket. He uses two baskets and sells the remainder for what all cost him. Find the selling price of each basket.

25. Find the number of strips of paper in a room 20 ft. long and 18 ft. wide, the paper being 2 ft. wide.

Lesson 16

1. Find the weight of an iron bar 5 yd. 1 ft. long of which 2 ft. weigh 13 lb.

2. A block of stone is 10 in. long, 8 in. wide, and 6 in. thick. Find its weight if 5 cu. in. weigh 1 lb.