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1. 8 times the number of stripes in our flag is the number of years from 1800, until Roosevelt was elected President. In what year was he elected President?

2. From the Declaration of Independence to the World's Fair in Chicago was 9 times as many years as there are stripes in the flag. How many years was it?

3. A man fed his horse 1 pecks of oats each day for 4 weeks. How many bushels of oats did he feed him?

4. Mr. Jones traveled 195 mi. a day for 2 weeks. How far did he travel in the two weeks?

5. A train ran 14 miles in 30 minutes. How far would it run at the same rate in 24 hours?

6. A piece of ground 1008 ft. wide is divided into 14 equal strips. What is the width of each strip?

7. A boy bought 3 dozen oranges at the rate of 15¢ a dozen. What did they cost him apiece?

8. A girl bought 12 handkerchiefs at the rate of 2 for 15¢. What did they cost her?

9. Railroad fare for a picnic excursion was 15¢ for the round trip. How much was collected on a train of 9 cars with 65 persons in each car?

10. In a square mile of land there are 16 farms of equal size. How many acres in each (see p. 243)? If one of these farms is divided into 3 fields, two of which contain 16 acres each, what is the area of the third field?

11. From a bin containing 80 lb. of meal, two 8-lb. packages were taken. How many 16-lb. packages can be made from what is left?

12. How many 4-oz. packages can be made from eight 10-lb. packages of spices, allowing 8 oz. for loss in packing? How many 4's in 80 sixteens?

PROBLEMS IN VALUES-RATIOS

Answer all you can orally.

In the following problems, "at the same rate" is understood.

257

1. 3 pounds of butter cost 75¢. What is the cost of 4 pounds?

2. At 9 barrels of flour for $45, find the cost of 7 barrels. 3. 5 acres of land cost $250. What is the cost of 7 acres of land?

4. I received $63 for 9 weeks' work. What should I receive for 12 weeks' work?

5. What is the cost of a dozen chairs if of a dozen cost $12?

6. If I pay 4¢ for 10 marbles, what should I pay for 25 marbles?

7. Eggs sell at 30¢ for 2 dozen, what is the cost of of a dozen?

8. A dozen pairs of boots cost $36. What is the cost of 8 such pairs?

9. When 2 gallons of syrup cost $1.50, what is the cost of 3 quarts?

10. A man receives $1200 a year and spends $45 a month. How much does he save the first 6 months? How much does he spend?

11. A piece of string is equal to 6 lengths of an 18inch rule. How many feet long is it?

12. A man had 30 bushels of wheat, of which he sold at 95¢ a bushel. The remainder he sold at 98¢ a bushel. What did he receive for the entire load?

13. The curtains for a room with 3 windows cost $5. What will they cost for a room with 12 windows?

14. 3 dozen neckties cost $1.80. What is the cost of 4 neckties?

NOTE-In plastering, many contractors make no deductions for windows or doors on account of the extra time necessary to do the work carefully around the frames. In all the problems, therefore, on plastering, unless otherwise stated, the walls are counted as solid.

1. A room is 9 ft. by 21 ft. and 9 ft. high. How many sq. yd. in the walls? In the ceiling? What will it cost to plaster the walls and ceiling at 21¢ a square yard?

2. A room is 12 feet square and 10 feet high. What will it cost to plaster the walls and ceiling at 23¢ per square yard?

3. What will be the cost of plastering the walls of a room 9 by 12 feet and 9 feet high at 45¢ a square yard?

4. What will be the cost of plastering the ceiling of a room 24 feet square at 28¢ a square yard?

5. Mr. Jones wishes to plaster the walls and ceilings of 3 rooms. The first room is 9 by 12 ft., the second 12 by 15 ft., and the third 15 by 18 feet. The height of each room is 9 feet. What will be the cost of plastering the three rooms at 28¢ a square yard?

6. What would be the cost of enough carpet a yard wide for the three rooms at 75¢ a yard?

7. The floor of a room contains 324 square feet. One side of it is 4 yards long. How many yards long is the other side?

8. The 4 walls of a square room 8 feet high contain 384 square feet. What is the length and the width of the room?

9. What is the length of a wall 12 feet high the area of whose side is 3 times 264 square feet?

10. A room is 10 feet wide and 11 feet long. A rug on the floor is 2 yards wide and 3 yards long. How much of the floor is not covered by the rug?

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2. Solve mentally, by adding, or subtracting the 10's,

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(1) 38+22=?

3. Solve mentally, as rapidly as you can give results

correctly; first adding, or subtracting the 10's, then the 1's:

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4. How many 2's in 4? How many 2's in 2 fours? In In 4 fours? In 5 4's? In 6 4's?

3 fours?

5. How many 4's in 8? In 2 8's? In 3 8's? In 4 8's? In 6 8's? In 7 8's? In 10 8's?

6. How many 3's in 6? In 2 6's? In 3 6's? In 5 6's? In 7 6's? In 12? In 2 12's? In 3 12's?

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