11. The tax assessed in a town is $4,500. The property is valued at $1,750,000. There are 500 polls, each taxed at $2. Find the rate of taxation, and a man's tax whose property is valued at $24,000, and who pays one poll tax. ($3,500 is raised on property, $1,000 being raised by poll tax.)

12. Find the difference between the greatest common divisor of 480 and 520, and the least common multiple of 5, 6, 15, and 20.

13. Find the value of a pile of wood 40 ft. long, 8 ft. wide, and 4 ft. 6 in. high, at $5.50 a cord.

14. A cargo of flour was bought for $690. For what must it be sold to gain 66%?

15. Reduce to a simple fraction: (+)×

REVIEW FRACTIONS.

969. Slate Exercises.

NOTE. Do not use too many figures.

1. Add 4, 21, †, §.

2. Divide each of the following fractions by 6:

3. Reduce of

5 12 25 84

휴, 주름, 물품, 우승.

13: 46' 103.

of 5 of 24 to a simple fraction.

4. 385-2111.

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

6. Multiply 241 by 1 of 4.

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 3 and 408 to their lowest terms.

10. Which is the greatest and which is the least, of 3, 4 of §, and 2 of?

11. What must be added to 3 to make 54?

12. Add of a week, 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 41 to produce 161?

19. What is the value of +?

41

20. What quantity must be divided by 44 to produce 85? 21. Find the value of 24÷

3

-

22. How much is of 3 da. 15 hr. 32 min. ?

2층

23. Reduce mile to rods.

24. Add , 4, 51. Subtract 45 from the sum.

25. Multiply of 5 by 7. Divide the result by 1.

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 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 54 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 no 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, 24 ft. wide, and 14 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. × 12 ft. 8 in. × 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 yardsyd. 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?

مجھے

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