14. How many square

inches in the surface of a sheet of paper

1 ft. 8 in. long, 11 in. wide?

15. How many pieces of paper 2 inches square will exactly cover a slate 12 inches long, 8 inches wide?

815. Slate Problems.

1. What part of 6 hr. 17 min. 5 sec. is 3 hr. 15 min. 25 sec.?

2. If a man walks at the rate of 3 mi. and 96 rd. per hour, now far will he walk in 3 hr. and 20 min. ?

3. What is one-ninth of 28 bu. 3 pk. and 7 qt.?

4. Three men buy a house for $1,200. A furnishes $600; B, $400; C, $200. They sell the house for $1,500. How much money should each receive?

5. If 5 T. and 1,000 lb. of coal cost $30.25, how much will be paid for 7 T. and 320 lb.?

6. At 25¢ per hour, how much should a man receive that works 8 hours and 36 minutes?

7. At $45 per month, what is the rent of a house for 2 yr. 7 mo. and 8 da.?

8. If 2 lb. 4 oz. of tea cost $1.35, what will be the cost of 11 lb. 12 oz.?

9. How many sq. in. in a paving tile 6 in. square? How many sq. in. in a rectangle 4 ft. by 3 ft.? How many paving tiles 6 in. by 6 in. would cover a surface 4 ft. by 3 ft.?

10. A merchant imports 360 yd. of dress goods, 27 inches wide, costing 30% per yd. What will the duty be at 8¢ per square yard, and 50 per cent of the cost in addition?

11. A man pays $60 interest per year. How much interest does he pay in 3 yr. 7 mo. 10 da.?

12. Find four-ninths of 28 bu. 3 pk. 7 qt.

APPROXIMATIONS.

816. Give an estimate of the answer (Art. 521):

1. If 3 T. and 1,988 lb. of coal cost $19.97, what will be the cost of 8 T. and 1 lb.? (Nearly 4 tons cost nearly $20.)

2. At $500 per year, what will be the rent of a house for 1 year 11 mo. and 29 da.? (Nearly 2 years.)

3. Find the cost of 5 bbl. sugar, averaging 299 lb. each, at 41% per lb.

4. What is the interest on $199.86 at 6%, for 5 mo. 28 da.?

5. If 11 men and 2 boys can finish a piece of work in 23 days, how long would it take 23 men and 5 boys?

6. What decimal of 639 acres is 321 acres?

7. What will be the cost of 20,060 bricks at $19.90 per M.?

8. A farmer sells 5,584 lb. of rye at 87¢ per bu. of 56 lb. How much does he receive?

9. If 9 lb. and 15 oz. of tea cost $7.95, what will be the cost of 21 lb. and 1 oz. ?

10. Paid freight on 1,987 lb. at 70¢ per hundredweight. How much did I pay?

MEASUREMENTS.

817. Make diagrams when necessary.

1. A man has a lot 100 feet by 200 feet. How many square feet will he have left for a garden after he builds a house 25 feet by 60 feet?

2. One wall of a room is 24 feet long and 12 feet high. There is a door in it 8 feet high, 4 feet wide. How many square yards of plastering will be needed to cover the wall?

3. A brick is 8 inches long, 4 inches wide, 2 inches thick. How many square inches are there in the surface of the widest face? In the surface of one side? In the surface of one end?

4. How many bricks laid on the widest face will be needed for a walk 288 inches long, 96 inches wide?

5. How many bricks laid on the side will be needed for a walk 24 feet long, 8 feet wide?

6. Make a diagram of a piece of paper that when folded will just cover the six faces of a brick 8×4 × 2 inches. How many square inches of paper would be needed?

7. How many square feet are there in a roll of wall paper 24 feet long, 18 inches wide?

8. How many rolls 24 feet long, 14 feet wide, would be required to paper the ceiling of a room 45 feet long, 36 feet wide, making no allowance for matching or waste?

9. The owner of a piece of ground 200 feet wide, 300 feet long, divides it into lots 25 feet by 100 feet. How many lots are there?

11. The owner of a piece of ground 600 feet long, 150 feet wide, builds a fence 6 feet high around the plot. How many square feet of fence are there?

12. What would be the cost of building 1,800 feet of fence 6 feet high at $1 per square yard?

13. A farm is one mile square. How many 40-acre fields does it contain?

14.

How many yards of fence will be needed to enclose the plot of ground shown in the following diagram?

15. The above field was originally a rectangle, but the owner sold one piece 5 rods by 3 rods, and a second piece 3 rods by 7 rods. How many square rods did it contain at first? What is its present area?

16. How many acres in a field in the shape of a triangle whose base and perpendicular measure 40 rods each?

17. Calculate the number of square yards in the field shown in the accompanying diagram.

18. The owner of a field 160 yards long, 121 yards wide sold from one corner a triangular piece

15 yd.

24 yd.

15 yd.

24 yd.

j6 yd.

40 yards long, 30 yards wide. Find the number of square

yards in the part remaining. (Make diagram.)

8 in.

4 in.

4 in.

4 in.

19. How many acres are there in a triangular plot of ground when the base measures 80 yards and the perpendicular measures 60 yards?

20. What are the dimensions of the box that can be made of a piece of paper of the size shown in the following diagram? How many square inches of paper are needed for such a box (making no allowance for pasting)?

8 in.

4 in.

8 in.

4 in. 4 in.

DENOMINATE NUMBERS. (Long Measure.)

819. Slate Exercises.

1. Change 43 yd. to rods and a fraction.

2. Change 43 yd. to rods and yards.

3. Change 43 yd. to rods, yards, and feet.

4. Change 43 yd. to rods, yards, feet, and inches.

5. Change 72 yd. to rods, etc.

6. Change 66 yd. to rods.

4 in.

4 in.

4 in.