PROBLEM INTERPRETATION

Oral and Written Exercises

Without solving, tell how to solve each of these problems; then write the solution :

1. At 50 each, how many books can I buy for $5?
2. How many bushels are 8 bu., 103 bu., and 123 bu.?
3. If 8 yd. six cost $10, how much do 4 yd. cost?

4. Find the cost of 1 doz. melons, if 2 melons cost $.25. 5. A barrel of flour weighs 196 lb. How much does a quarter of a barrel of flour weigh?

6. How far does Edward walk in 4 hours, at the rate of 21 miles per hour?

7. Henry bought 3 pencils at 5 each and had 14¢ left. How much money had he at first?

8. If 2 plum trees bear 22 pk. of plums, how many pecks of plums do 3 such trees bear?

9. Helen spent of the money she had for a fan. If the fan cost 60, how much money had she at first?

10. If a motor car ran 2 miles while a train ran 3 miles, how far did the car go while the train ran 24 miles?

11. The product of three numbers is 432. If two of the numbers are 8 and 9, what is the third number?

12. If of the value of a house is $ 800, how much is the house worth?

13. A train averages 7 miles every 8 minutes. How long would it take to make a trip of 49 miles?

MILNE'S MOD. AR. I— 14

PROBLEM MAKING

Oral and Written Exercises

Write as many problems as you can from the following conditions; then solve your problems:

1. A boy had $11 and afterward spent $1.

2. Alfred had 42 walnuts. He cracked of them.

3. Mary's pansy bed is 8 ft. long and 4 ft. wide.

4. Marbles cost 1 for 6, 14 for 3, 2¢ for 5, 3¢ for 5.

The following are prices at a fruit stand:

Here are some prices at a stationer's store:

13 Pencils, 1, 2, 3, 5¢ each; 10¢ a doz.; 25¢ a doz. 14. Pens, 6 for 5¢.

15. Books, from 25 to $1 each.

16. Blotters, 8 for 5.

17. Ink, 5¢ a bottle, small size; 25 a bottle, large size. 18. Edward spent of his money for a goat and of it for a wagon.

19. Frank had 60%. The price of oranges was 3 for 10. The price of bananas was 20 a dozen.

20. Some berry pickers picked 81 crates of strawberries in the forenoon and 41⁄2 crates in the afternoon.

1. At a union of 12 girls each.

Camp Fire Girl Problems

council fire there were 15 Camp Fires How many Camp Fire Girls attended?

A Camp Fire Girl won an honor by:

2. Riding horseback 81 miles per day, on the average, for 5 days. How many miles did she ride?

3. Hemming the ends of 2 towels each 18 in. wide. How many yards of hemming did she do?

4. Filling a regular position for 18 weeks. Her wages were $6.25 per week. How much did she earn?

5. Walking 42 miles in 10 days. How many miles did she average per day?

6. Raising 82 qt. of strawberries that sold at 121 per quart. How much did she receive for them?

7. Make out and receipt a bill for: 150 honor beads @1; 3 Torch Bearer's pins @ 50; 12 hat pins @ 25; 8 pairs of moccasins @ $1.25.

VOLUME MEASURES

1. The blocks shown in the picture are cubes.

How many corners has a cube? how many edges? how many flat sides, or faces?

2. How do the edges compare in

length? the faces in shape? in

area? Describe the shape of each face.

3. How long is the front face of this cube? how wide? What is its area?

5. Let us see if we can find the number of blocks in the pile at the top of the page, without counting them. There are 2 layers of blocks, and 2 rows in each layer. Now, in 1 row there are 3 blocks.

In 1 layer (2 rows) there are 2 x 3 blocks.
In 2 layers there are 2 times 2 x 3 blocks.

That is, the pile contains 2 × 2 × 3 blocks, or 12 blocks.

6. On the next page there is a picture of a block of wood 4 in. long, 2 in. wide, and 3 in. high, or " 4 in. by 2 in. by 3 in.," marked to show cubic inches.

Find how many cubic inches there are in this block.

There are 3 layers of cubic inches with

2 rows in each.

In 1 row there are 4 cu. in.

In 1 layer there are 2 x 4 cu. in.

In 3 layers there are 3 x 2 x 4 cu. in.

That is, the block contains 3 × 2 × 4 cu. in., or 24 cu. in.

This is the volume of the block.

7. A block is 5 in. by 4 in. by 3 in.

Think of rows and layers of cubic inches.

Find its volume.

8. What is the volume of a cube whose edge is 4 in.?

Such a cube is called a 4-inch cube. What is a 6-inch cube?

Oral Exercises

Find the volume of:

1. A 3-foot cube.

2. A tank, 5 ft. by 4 ft. by 4 ft.
3. A brick, 8 in. by 4 in. by 2 in.
4. A coal bin, 6 ft. by 5 ft. by 3 ft.
5. A cake of ice, 3 ft. by 2 ft. by 1 ft.
6. A stone block, 4 ft. by 4 ft. by 3 ft.
7. A cement wall, 20 ft. by 3 ft. by 1 ft.

8. How many cubic feet of dirt can be put into the box of a cart that is 5 ft. by 4 ft. by 2 ft. on the inside?

9. A packing case is 4 ft. long, 3 ft. wide, and 3 ft. high. How many cubic feet of space does it occupy?