LESSON 50.

1. A man sold 250 shares of railroad stock at 123% discount, and invested enough of the proceeds in 6% Chicago city bonds at 105 to secure a semi-annual income of $420 and bought a house with the remainder. How much did he pay for the house?

2. A man has railroad stock on which he receives a quarterly dividend of 13%. If he bought the stock at 87, what rate of interest does he receive on his investment?

3. A bank has a capital of $250000. The entire profits in a year are $41795, and the expenses $16895. If the directors pay as high an integral rate of dividend as possible, how much can they add to the surplus fund?

4. An insurance company invests a portion of its reserve fund in 5% state bonds at 43% above par, brokerage 1%, and twice as much in 6% city bonds at 1153, brokerage %, investing $365400 in all. Find the yearly income from both investments.

5. If I buy 8% bank stock on which there is a semiannual dividend of $600, what will it cost at $140 a share?

6. A man receives a quarterly income of 1% on bonds bought at 4% above par. What is the annual rate of interest on the investment?

7. A man bought railroad stock at 16 % premium, brokerage %, paying $5574 for it. How much is his

dividend, if the stock pays 31% semi-annually?

8. A sold several $1000 five per cent bonds, on which the quarterly interest was $275, at 108, brokerage 1%. How many bonds did he sell, and how much did he receive for them?

EIGHTH GRADE - THIRD TERM.

LESSON 1.

1. Learn 377 . . . 427.

2. How long is the hypotenuse of a right triangle whose base is 14 in. and whose perpendicular is 20 in. ?

3. The perpendicular of a right triangle is 14 in. and the hypotenuse 25 in. Find the base.

4. How long is the edge of a cube whose volume is 2197 cubic inches?

5. How long is the side of a square whose area is 156.25 square rods?

6. How long is the diagonal of a rectangle which is 18 rods long and 12 rods wide?

7. The rafters of a building 40 ft. wide are 22 ft. long without the projection. How high is the ridge above the eaves?

8. What is the depth of a cubical bin that holds 40 bushels of wheat?

9. What is the perimeter of a square whose area is 561 square rods?

10. A building 40 ft. wide has the gable ends 10 ft. above the eaves. How long are the rafters, allowing that they project 18 inches on each side?

11. What is the diagonal of a square whose area is 320 square feet?

LESSON 2.

1. Learn 377 . . . 427.

2. The diagonal of a rectangle is 14 ft. and one side is 12 ft. Find the other dimension.

3. What is the entire surface of a cube whose volume is 729 cubic inches?

4. What is the diagonal distance through a cube seven inches on each edge?

One goes

5. Two persons start from the same place. north at the rate of four miles an hour, and the other goes west at the rate of three miles an hour. How far apart will they be at the end of five hours?

6. The longest side of a right triangle is 12 ft., and one of the other sides is 8 ft. Find the length of the other side.

7. The area of a rectangle is 1440 square feet. What is the side of a square of equal area?

8. The two sides about the right angle in a right triangle are 40 ft. and 50 ft. How long is the other side?

9. How long must a cubical bin be made, inside measure, to hold as many bushels as one that is 32 ft. long, 16 ft. wide, and 8 ft. deep?

10. How long is the edge of a cube whose entire surface is 294 square inches?

11. What must be the length of a ladder to reach the top of a building 50 ft. high, the foot of the ladder being 20 ft. from the base of the building and in the same plane?

2. The area of a square field is 10 acres. What is the distance from one corner to the opposite corner?

3. At 5 cents a square foot, how much will it cost to line a cubical vat, the capacity of which is three barrels ?

4. What is the distance from a lower corner to the opposite upper corner of a room 16 ft. long, 14 ft. wide, and 11 ft. high?

5. What is the length of the longest straight line that can be drawn on a rectangular sheet of paper 20 in. long and 15 in. wide?

6. The diagonal of a square is 14 inches. Find the dimension of the square.

7. How much will it cost to build a fence around a square field whose area is 40 acres, if the fence costs $1.25 a rod?

8. What was the length of a pole, standing 40 ft. from a building, the top of which, in falling, struck the building 50 ft. from the ground?

9. What are the dimensions of a cubical pile of wood Containing 13 cords?

10. The area of a square field is 10 acres. is each side?

How long

11. Two sides of a right triangle are each 30 inches. How long is the other side?

2. How long is the diagonal of a square whose area is 225 square inches?

3. A ladder 30 ft. long stands close against the side of a building. How far must the foot of the ladder be drawn out that the top may be lowered 5 ft. ?

4. Find the volume of a cube whose entire surface is 384 square inches.

5. What is the distance from the top of a pole 60 ft. high to the top of a stake 8 ft. high, the two standing 100 ft. apart and in the same plane?

6. The longest straight line that can be drawn on a rectangular surface is 18 ft. and one dimension is 14 ft. Find the other dimension.

7. What are the inside dimensions of a cubical vat that will hold 1275 gallons of water?

8. How long is the diagonal through a cube 5 inches on each edge?

9. What distance will a man travel in going diagonally across a rectangular field 60 rods wide and half a mile long?

10. A ladder 60 ft. long stands 12 ft. from a building, and the upper end rests against the building 6 ft. from the top. How high is the building?

11. How much will it cost, at 3 cents a square foot, to cement the bottom and sides of a cubical cistern, the capacity of which is 80 barrels ?

LESSON 5.

1. Learn 377 . . . 427.

2. How long is the side of a square whose area is equal to the area of a rectangle 49 ft. long and 36 ft. wide?

3. What must be the length of a ladder to reach 8 ft. above the top of a building 40 ft. high, if the foot of the ladder is 16 ft. from the building?

4. The area of a square lawn is 9 sq. rd. What is the distance in feet from the center to each corner and to the middle of each side?

5. The base of a right triangle is 60 ft., and the hypotenuse is 110 ft. Find the length of the other side.

6. How many square inches are there in the surface of a cube whose volume is 1331 cubic inches?

7. Two railway trains start from the same point, and one goes south and the other west. The first goes twice as far as the second and goes 40 miles an hour. How far apart will they be at the end of 5 hours?