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spokes of the front wheels. How many times do the front wheels revolve in going 1 mile? The hind wheels?

Find, exactly:

9. The distance around a circle drawn with a 4-in. radius.

10. The diameter of a tree 55 in. in circumference.

11. The area of a circle drawn with a 7-ft. radius on the floor of a kindergarten.

12. The capacity in cubic feet of a cylindrical watering trough 21 ft. in diameter and 15 in. deep.

13. A circular wading pool in a park covers 7854

[blocks in formation]

How far is it from the center to the shore?

14. How long is the shore line of the pool?

15. The shore line of a circular pond is 235.62 ft. John swims straight across the pond. What distance does he swim?

16. From the same center draw two circles, one with a 4-in. radius, the other with a 5-in. radius. Find the area of each. Cut out the smaller circle. What is the area of the circular ring left?

17. In the park is a circular flower bed surrounded by a gravel path 3 ft. wide. the path.

10 ft. in diameter Find the area of

18. The following are the dimensions of a cart wheel: hub, 8 in. in diameter; spokes, 1 ft. 8 in. long; rim, 2 in. thick. What is the length of a piece of iron required to make the tire?

MISCELLANEOUS ORAL PROBLEMS

1. The charge for a 3-minute telephone conversation. between two places is 20%, and 5 for each additional minute. Find the cost of a 6-minute conversation.

2. Six people hire an automobile for 8 hours at $ 11⁄2 an What is each one's share of the expense?

hour.

3. Mrs. Green bought 16 yd. of gingham at 121 a yard. How much did she pay for it?

4. Henry paid $15 for a suit of clothes, .1 as much for a hat, and .01 as much for a collar. How much did he pay

for each article?

5. Alfred spent 80 for a spelling book and an arithmetic, paying three times as much for the arithmetic as for the spelling book. How much for each?

6. When 16 oranges are sold for a quarter, what is the rate per dozen?

7. How long will it take a dressmaker to make a dress if she does .4 of the work in a day?

8. On a scale of 10 points for each of the ten problems given in a test, what is the mark of a pupil who solves the first three and the last four, fails on the fourth, solves one half of the fifth, and omits the sixth?

9. What is the cost of 14 yd. of cloth at $ a yard? 10. Ed can run around the square in 7 min. and Joe in 63 min. If they start together, Joe will finish how much sooner than Ed?

11. What is the area of a lot 20 rd. by 5 rd.? How many rods of wire will be required to inclose it? How many posts set 1 rd. apart will be required to support the

12. How many square yards of linoleum will be required to cover a floor 15 ft. by 12 ft.?

13. At 50 per square yard, how much will it cost to lay a sidewalk 6 ft. wide and 60 ft. long?

14. What is the cost of 5 cwt. of shorts at $16 per ton?

15. How many bookshelves 3 ft. long and 8 in. wide can be made from 3 boards 6 ft. by 16 in.?

16. How many board feet in each board in the above example?

17. A glove box is 7 in. long, 4 in. wide, and 3 in. deep. What is its capacity in cubic inches?

18. Allowing 40 cu. ft. to a ton, how many tons of coal can be put into a bin 10 ft. x 8 ft. x 5 ft. ?

19. Reckoning 71 gallons to a cubic foot, how many gallons of water can be contained in a tank 2 feet square and 2 feet deep?

20. What is the net cost of a bill of goods amounting to $560, 121% off?

21. When a merchant sells shovels at 80 each, he makes 33%. Find the cost.

22. How many days from Oct. 22 to Nov. 7?

23. Mr. Whiting borrowed $600 for 1 year at 5%. How much did he pay at time of settlement?

24. What is the interest on $3500 for 60 days at 6%? For 6 days?

25. When money is on interest at 5% a year, how long will it take to earn a sum equal to the principal ?

26. Mr. Hall spent 25 for postage stamps, buying twice as many two's as one's.

did he buy?

How many of each kind

27. Sarah marked off a piece of paper 6 in. x 6 in., into inch squares. She then colored the outside row. Into how many squares was the paper divided? How many squares were colored?

28. A boy in the manual training class painted the surface of a 3-in. cube. How many square inches did he paint? He then cut the cube into inch cubes. How many did he have? How many of the inch cubes were painted on three sides? How many on two sides? How many on one side? How many were not painted at all?

29. What is the premium for insuring a house for $3200 at 7% ?

30. Mr. Burton insures his life for $5000 at an annual

rate of $40.50 per $1000. What is his annual premium?

MISCELLANEOUS WRITTEN PROBLEMS

1. A and B invested equal sums in a business costing $4000. At the end of a year they estimated their stock to be worth $6200, bills receivable $1348, and cash in bank $452. What ought either to give the other to secure the ownership of the business?

2. Mr. Parker hires a man and a boy on his farm at a yearly expense of $480. The man receives $25 a month. What part of the $480 does the boy receive?

3. In 1909, vessels of a total tonnage of 15,407,527 passed through the Suez Canal and vessels of a total ton

nage of 41,390,557 through the Sault Ste. Marie Canal. How much more tonnage through the latter canal?

4. Mr. Porter agreed to pay $5760 for a farm supposed to consist of a certain number of acres. A survey showed that it contained 6 acres less than supposed. The owner then sold the farm to Mr. Porter for $5472. How many

acres in the farm?

5. The average weights and values of the several cuts of mutton from a flock of sheep were: leg, 22.2 lb. @ 104; loin, 17.5 lb. @ 9; rib, 14.5 lb. @ 9; chuck, 19.8 lb. @14. Find the total value. The average price per pound for the carcass.

6. Mr. Jacobs intended to write to Mr. Donaldson that he would sell a pasture for $540, at which price he would gain of the cost. By accident he wrote $450. Mr. Donaldson bought the field at the price named. Did Mr. Jacobs gain or lose? What part of the cost?

7. Two ranchmen had 26,000 sheep each. One sold of his flock at one time and at another. How many had he left? The other sold of his flock at one time How many had he

and of the remainder at another. left?

8. On March 1 Harry and James each had $12 in the school savings bank. On April 1 Harry increased his deposit, and on May 1 withdrew of his money. On April 1 James withdrew of his deposit, and on May 1 increased his deposit by of what he then had to his credit. How much had each then in the bank?

9. A man's estate was divided as follows: to his wife, of the remainder to his son, and the rest equally

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