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24. What number divided by 320 gives 47 for quotient and 163 for remainder?

25. What is the cost of a pane of glass 30 inches wide and 50 inches long, at 40¢ per square foot?

26. If a river current carries a raft of lumber at the rate of 4 miles 4 furlongs 20 rods (4 miles 180 rods) per hour, how long will it take the raft to float 365 miles?

The

27. In a school room there are 35 pupils and a teacher. room is 30 feet long, 20 feet wide, and 15 feet high. How many cubic feet of air space has each person?

28. What is the interest of $247.50, for 8 months 19 days, at 4 per cent?

29. A merchant sold a quantity of flour for $282, losing 6 How much money did he lose?

per cent.

30. I bought 2,500 bushels of wheat at 80 per bushel, and sold it for 84 per bushel, on a note for 60 discounted immediately at a bank, at 6%.

gain?

days, which I had How much did I

INTEREST AND BANK DISCOUNT.

928. Slate Problems.

1. Find the interest on x dollars, for 2 years 3 months, at 5%.

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2. What principal will produce $180 interest in 2 years 3 months, at 5%?

Let x= the principal.

3. Find the interest on $4,250, for x years, at 6%.

4. A man loaned $4,250 at 6%. He received $765 interest. Find the time.

5. What sum, at 4%, will produce $240 in 3 years?

6. How long will it take $2,020 to produce $606 interest, at 6%?

7. Find the interest on $6,000, for 2 years 6 months, at x%.

8. At what rate per cent will $6,000 produce $900 interest in 2 years 6 months?

9. Find the amount of $1,875, for 7 mo. 15 da., at x%. 10. What is the amount of $682.90, for x months, at 3%?

11. Find the discount on a 60-days note, for x dollars, at 6%. x × 180 × 3830

6

12. A 30-days note for $400 is discounted at x%. What is the discount?

13. What is the discount on an x-days note for $300, at 6%? (Do not forget days of grace.)

14. Find the proceeds of a 4-months note for $200, discounted at x per cent.

15. Find the proceeds of an x-days note for $600, discounted at 6%.

16. What is the amount of x dollars, for 4 years 3 months 10 days, at 41%?

17. Find the proceeds of a 3-months note for x dollars, discounted at 6%.

929. Slate Problems.

MEASUREMENTS.

1. Mark in each division of each of the following rectangles its area in square feet. Dimensions of each rectangle 100 ft. by

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2. Find the area of each of the following triangles in square feet; base of each 100 feet, altitude 60 feet.

4444

100

100

100

100

3. Mark in each of the following eleven triangles its area in square feet; altitude of each, 60 ft.

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4. Find the area of each of the following four triangles in square feet; altitude of each, 60 ft.

50

60

'70

40

5. Find the area of each of the following four quadrilaterals; altitude of each, 60 ft.

[blocks in formation]

6. Find the area of each of the following trapezoids; altitude of each, 60 ft. The number of square feet in each is equal to 60

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7. One diagonal of each of the following quadrilaterals measures 100 feet. The perpendiculars let fall on this diagonal from the opposite corners measure 30 ft. and 40 ft., respectively. Find the area of each in square feet.

30

100

30

30

100

8. Cut from a strip of paper, AB, two inches wide, a rectangle, a rhombus, and a rhomboid, as given in the accompanying diagram. Show that the three parallelograms are equal in surface.

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9. Cut from a strip of paper, two inches wide, three trapezoids. Make one parallel side of each 2 inches long, and the other parallel side 3 inches long. Divide up each trapezoid in such a way as to show that its surface is equal to that of a rectangle 24 in. by 2 in.

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1. How many cubic feet are there in a block of granite whose base is 4 feet square, and whose height is 6 feet?

2. Find the value of the above block at 60 per cubic foot, and the cost of polishing its six faces at 60¢ per square foot.

3. A contractor charged 30 per cubic yard for digging a cellar 21 feet wide, 60 feet long, 9 feet deep. What was the amount of his bill?

4. What will be the cost of cementing the floor of the above cellar at 75 per square yard? Deduct from the given dimensions the thickness of the four walls, eighteen inches each. Make a diagram.

5. A cubic foot of water weighs 1,000 ounces, Marble is 2.8 times as heavy. Calculate the weight, in tons, of a marble shaft 4 feet square and 12 feet high. (Cancel.)

6. A carpenter is making a cubical box whose inside measurement is 1 foot. Each side consists of a single piece of wood 1 inch thick. Give the dimensions, in inches, of each of the six pieces used.

7. How many pounds avoirdupois would there be in a brick of pure gold 8 × 4 × 2 inches, gold being 19.4 times as heavy as water?

8. Find the weight in pounds of a cord of pine wood, which is .66 times as heavy as water.

9. A cube of marble, 12 inches on a side, is enclosed for transportation in a tightly fitting wooden box made of material one inch thick. What are the outside dimensions of the box? How many cubic inches in the wood and the marble together? How many cubic inches are there of each?

10. An iron cube 2 feet long weighs 2 tons. How many times as heavy as water is iron? Calculate the weight of an iron cube 1 foot long. Of one 3 feet long.

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