4. What was the gain per cent in the population of a state that had 416,396 inhabitants in 1880, and 416,552 in 1890?

5. A man marks an article $1.50, and sells it at a discount of 25% from the marked price. If the article cost him 90, what is his gain per cent?

6. Goods costing $8 are sold at an advance of 20 per cent. The marked price is $12. What per cent reduction is made on the marked price?

7. A rug costs $20. It is sold at a profit of 20%. The selling price is 20% below the marked price. How much is What is the marked price?

received for the rug?

8. What price must cloth, which costs $2 per yard, be marked so that a profit of 20% will be made when the cloth is sold at 20% less than the marked price?

2. Divide each of the following fractions by 6:

5. What fraction of £1 18s. 9d. is 5s. 6d. ?

6. Multiply 241 by # of .

7. What is the greatest common divisor of 657 and 1,168? The least common multiple of 12, 16, 20, 30?

8. What must be taken from 85% to leave 3?

9. Reduce and 40% to their lowest terms.

10. Which is the greatest and which is the least, of †, 1 of §, and 21 of 4?

11. What must be added to 34 to make 54?

12. Add of a week, ğ of an hour,

of a minute.

13. How much is 9 times each of the following fractions?

16. What part of a ten-acre field is 4 A. 100 sq. rods?

17. What is the least number that will contain each of the numbers 6, 15, 18, and 20?

18. What must be multiplied by 4 to produce 16?

20. What quantity must be divided by 44 to produce 85?

23. Reduce mile to rods.

24. Add ,, 51. Subtract 45 from the sum.

25. Multiply of 5 by 7. Divide the result by 14.

MEASUREMENTS.

970. Slate Problems.

1. A tank 18 ft. long, 15 ft. wide, requires 63 sq. yd. of lead to line its sides and bottom. How many feet deep is it? (Make diagram.)

2. A farmer has a 3-acre field in the form of a right-angled triangle. If one perpendicular side measures 242 yards, what is the length of the other?

3. One parallel side of a field in the shape of a trapezoid measures 150 yd., the other measures 200 yd. How many square yards in the field, the perpendicular distance between the sides being 50 yards? (Make diagram.)

4. The shorter parallel side of a trapezoid is x yards, the other is 100 yd., the perpendicular is 60 yd. Find the area in square yards.

How long is the shorter parallel side when the area is 5,400 sq. yd.?

5. One parallel side of a trapezoid is 80 yd., the other is 120 yd., the perpendicular is x yd. Find the area in square yards.

How long is the perpendicular when the area is 4,000 sq. yd.? 6. One parallel side of a trapezoid is x yd., the other is x + 40 yd., the perpendicular is 60 yd. Find the area. Find the length of the parallel sides when the area is 6,000 sq. yd.

7. The sum of the parallel sides of a trapezoid is 200 yards, the perpendicular is 100 yards. How many square yards in the area?

8. How many flagstones 5 ft. long, 3 ft. wide, will be needed. to lay a sidewalk 1 mile long, 6 ft. wide?

9. What would it cost, at 10 a square yard, to paint the walls of a room 16 ft. 6 in. long, 14 ft. 9 in. wide, 13 ft. 4 in. high?

10. A room 20 ft. long and 17 ft. 6 in. wide will require how many yards of carpet 2 ft. 6 in. wide to cover it, making not allowance for waste?

11. Find the weight of a plank 15 ft. 9 in. long, 10 in. wide, and 2 in. thick, at 414 lb. per cu. ft.

12. Find the entire surface of a block of marble 3 ft. long, 21 ft. wide, and 1 ft. thick. (Draw "development.")

13. The area of a floor is 135 sq. ft., and its length is 12 ft. 8 in. What is its width?

14. How many bushels will a bin contain, its dimensions being 10 ft. 8 in. x 12 ft. 8 in. x 8 ft. 9 in.? (Cancel.)

15. Find the capacity in gallons of a tank 6 ft. 5 in., by 3 ft. 9 in., by 4 ft. 6 in.

16. A farmer wishes to construct a post and rail fence around a square field containing 40 acres. He pays 15 each for the posts, which are placed rod apart. The rails cost 10 each. If the fence is 5 rails high, how much will the material cost?

17. A farm 1 mile square is divided into square fields each containing 40 acres. Make a diagram of the farm, and say how many miles of fence will be needed to enclose all the fields.

18. How many cords of wood in a pile 164 ft. long, 16 ft. wide, 30 ft. high?

19. A cubic foot of water weighs 1,000 oz. What will be the weight of a gallon of water? (Give answer in pounds and fraction.)

20. Find the weight of a quart of mercury, considering mercury 13 times as heavy as water.

21. A plot of ground 320 ft. long, 210 ft. wide, is enclosed by a tight board fence 6 ft. high. How many square yards in the surface of the fence?

22. Find the number of square yards

in a sidewalk, six feet wide, on the outside of the above plot.

The inner rectangle measures 320 × 210 ft. What are the dimensions of the outer rectangle?

210

Sidewalk

320

Find the difference between the area of the outer rectangle and that of the inner one.

23. Find the area of a gravel walk, 6 ft. wide, just inside a fence surrounding a plot 320 ft. long, 210 ft. wide.

Make a diagram. Find difference of areas, as above.

971. Oral Problems.

CAUSE AND EFFECT.

1. If 4 books cost $1.25, what will a dozen cost?

2. If 3 lb. sugar cost 131, what will be the cost of 50 lb.?

3. If 48 lb. tea cost $20, what will 12 lb. cost?

4. Bought 17 yards of cloth for $30. could I have bought for $90?

How many yards

5. If 36 men do a piece of work in 105 days, how long will it take 72 men to do it?

6. If 7 railway trucks weigh 14 tons, how much would 29 trucks weigh?

7. How long will it take 8 horses to plow a field, if 3 horses can do it in 8 days?

8. What is the height of a steeple that casts a shadow of 300 ft., if an 8 ft. pole casts a shadow of 12 ft.?

9. If 18 men mow 90 acres of grass in 5 days, how many acres will 36 men mow in 5 days? In 10 days?

10. If 60 yd. carpet yd. wide will cover a floor, how many yards yd. wide will be required?

972. Slate Problems.

1. A piece of cloth, measured with a yard measure that is 1 inch too short, appears to be 25 yd. long. What is its true length?

2. Exchanged 40 yd. muslin, worth 101 per yd., for 15 yd. linen. What is the value of the linen per yd.?