249. Written

1. Find in gallons the capacity of a cistern 11 ft. square and 6 ft. deep.

2. Find to the nearest hundredth (a) the number of gallons that are equivalent to one cubic foot; (b) the number of bushels that are equivalent to one cubic foot.

3. Find to the nearest hundredth the number of gallons that are equivalent to one bushel.

A

4. A box car is 33 ft. long, 8 ft. 8 in. wide, and 7 ft. 6 in. high, inside measure. It is strong enough to carry 30 tons. bushel of corn weighs 60 pounds.

a. How

many

bushels of corn can the car carry?

b. How many cubic feet (to the nearest tenth of a cubic foot) will the load occupy?

c. How many cubic feet of space will be left unoccupied? d. A bushel of oats weighs 32 pounds. How much space, to the nearest tenth of a cubic foot, will be left when the car contains 20 tons of oats? (Allow 14 cu. ft. for a bushel.) 5. A cellar 35 ft. long and 21 ft. wide was flooded, during a storm, to a depth of 3 ft. 8 in. What was the cost of pumping out the water at $.03 a barrel?

6. A watering trough in the form of a rectangular box is 11 ft. long, 18 in. wide, and 14 in. deep. How many barrels of water will it hold? (Result correct to hundredths.)

7. A farmer, having ten 44-gallon casks, used them for storing wheat. How many bushels of wheat could he store in them? (Result correct to hundredths.)

8. I have in my attic a rectangular copper water tank 14 ft. by 9 ft., into which the rain-water from the roof is carried. During a shower, the tank was filled to a depth of 11 inches. How many barrels of water ran into it?

9. A reservoir from which a city is supplied with water has a surface of 35 acres. If no water ran into it, the surface of the water would be lowered 5 inches a day by the pipes that supply the city. How many gallons are used daily?

10. A teamster wanted to know how many gallons of water he could carry in his watering-pail. He had no measure except a foot rule. He measured a feed box and found the inside dimensions to be: length 2 ft. 9 in., width 1 ft. 9 in., depth 1 ft. He filled the pail with oats and emptied them into the box, repeating the process till the box was full. The box held twelve pails of oats. Find, (a), the volume of the box in cubic inches, (b), the volume of the pail, (c), the capacity of the pail in gallons.

11. Some boys found a bowlder, and guessed the number of cubic inches of stone that it contained. To find which was the best guesser, they filled a large pail with water and set it in an empty washtub. Then they placed the bowlder in the pail of water so that the bowlder was entirely submerged, and found that 5 qt. 1 pt. of water had run over into the washtub. Was it too large, or too small,

nearest guess was 350 cu. in. and how much?

12. A cubic foot of water weight of a gallon of water?

The

weighs 621 lb. What is the (Correct to 3 dec. places.)

13. The water displaced by a floating body weighs the same as the floating body. A log containing 20 cu. ft. of wood, floating in a stream, was three fourths under water.

a. How many gallons of water did it displace? (2 dec. places.) b. What was its weight?

14. My house covers a surface equivalent to a rectangle 20' x 40'. During a rain storm, water fell to an average depth of .8 of an inch, according to the record at our weather station. How many barrels of water fell on my roof? (2 dec. places.)

15. A farmer's wagon box was 3 ft. 4 in. wide, 16 ft. 6 in. Find, to the nearest tenth, the number

long, and 20 in. deep. of bushels that it holds.

16. A wagon box 12 ft. long and 3 ft. 6 in. wide holds 40 bushels. Find its depth to the nearest tenth of an inch.

17. A fruit grower made some bushel crates that were 2 ft. long and 1 ft. deep. Find their width to the nearest tenth of an inch.

18. An aquarium is 7 ft. long and 22 in. wide.

a. When it contains 40 gallons of water, how deep is the water?

b. How deep is the water when it contains one hogshead of water?

c. When the water is two feet deep, how many gallons does the aquarium contain?

d. When the water is 8.64 in. deep, how many pounds of water are there in the aquarium? (See Question 12.)

19. How many barrels of water will a rectangular cistern 6' x 5' x 4' hold?

REVIEW AND PRACTICE

250. Oral

1. Read CLI; MCMIX; CDLXXXVIII; CCXVI. 2. Read 10.0010; 100.00100; 101.00001; 101.100.

3. Give results rapidly:

38+45; 98-79; 98+34; 78 × 99; 60 × 80; 1.047 × 100;

96 × 25; 315 × .331; 12 x 25; 1300 ÷ 25; 48 x 125;

428.3 1000; 125 x 2000; 360,000 ÷ 400.

4. What is the smallest number that exactly contains 2, 3, 4, 6, and 8?

5. What is the largest number that will exactly divide 45, 60, and 75?

6. 27 is a power of what number?

7. Name four powers of 10.

8. How is the value of a figure affected by moving it three places to the left?

9. Of what number are 5, 2, and 13 the prime factors?

10. The product of two or more numbers is found by what operation?

11. One of the two factors of a number is found by what operation, when the product and the other factor are known? 12. Describe two tests for examples in subtraction.

13. The product of three factors contains five decimal places. One of the factors has three decimal places and another two. How many decimal places has the third factor? 14. Name four signs of aggregation.

16. How can you tell whether a number is divisible by

(a) 2, (b) 3, (c) 4, (d) 5, (e) 6, (ƒ) 8, (g) 10, (h) 9?

17. The sum of the digits in a number is 27.

bers will divide it?

What num

18. The sum of the digits in a number is 18 and the figure in units' place is 8. What numbers will divide it?

19. The figure in units' place in a given number is 7. What kind of numbers will not divide the given number?

20. Name a number that has no integral factor but itself and What kind of number is it?

one.

21. Two of the three factors of a number being given, how can the remaining factor be found?

23. Change to a fraction whose denominator is 81.

24. Change 85 to an improper fraction.

12

25. Divide 375 by 25.

26. What is the cost of 48 horses at $125 each?

27. The average price per dozen paid for eggs by an egg buyer during a season was $.163. At that rate, what did he pay for 1000 dozen? How many eggs could he buy for $100?

28. A merchant bought 700 yards of damaged cloth at $.142 a yard. He sold 200 yards of it at $.50 a yard, and the rest at $.10 a yard. How much did he gain?

29. Name six parts that a bill should contain.

30. A gallon of spirits of camphor will fill how many 8-ounce bottles?

31. A stationer bought paper at $1.00 a ream and sold it at $.20 a quire. How much did he gain on 10 reams?

32. How many degrees are there in all the angles of a rectangle?

33. Eighteen straight lines are drawn from the center to the circumference of a circle, making equal angles at the center. What is the size of each angle? What is the size of each arc formed in the circumference?

34. What U. S. coin is most nearly like the English shilling? 35. What German coin is most nearly like the U. S. 25-cent piece?

36. What is the silver piece, coined in this country, whose value is most nearly like that of the franc?