5. At $2 a rod, what is the difference in the cost of fencing a lot of land 20 rods square, and another lot containing the same area which is 40 rods long?

6. A man has a straight fence made of three lengths of wire. The three wires are supported by 11 posts, the distance between the centers of the posts being 10 feet. These posts are each 6 inches in diameter, with holes through which the wires pass. The wires are fastened on the outside of the end posts by twisting them around spikes driven into the posts, and it took 3 inches of wire to fasten each end of each wire. How many feet of wire are required for the fence?

1143. Boston Examination Questions. Mental.

1. A room is as wide as it is long. Its length is 20 ft. How many sq. ft. are there in the floor?

2. What will 5 tons of granulated sugar cost at 64 per lb. ? 3. If 5 yd. of cloth cost 90, what will

4. What will be the cost of 1 pk. 1 qt. 1 per qt.?

of a yd. cost?

pt. of nuts at 10¢

5. What is the value of an acre of land at 10%

per sq. ft.?

6. An agent insured a house for me at a commission of 1%. His commission was $15. How much was the house insured for? 7. A gold-digger who had 3 lb. of gold dust, lost 9 oz. What per cent was left?

8. What is the interest of $50, for 3 yr. 7 mo. 12 da., at 6% ? 9. How many days from May 16 to July 5?

10. Add 379 and 297.

11. What is the bank discount on a sixty-days note for $400, at 6%?

12. A dealer sold flour at a profit of $2.00 a barrel, and gained 25%. What was the cost?

13. In what time will $50 double itself at 8%?

14. What would 51 lb. of butter cost at 331¢ a lb.?

15. Mrs. Allen bought 7 chairs at $4 apiece, 2 tables at $9 apiece, and a carpet for $33. She paid two $50 bills. How much change was due her?

16. If $1 is paid for insuring a piano worth $500, what is the rate of insurance?

17. In what time will any sum of money double itself, at 6% ? 18. Into how many lots, containing of an acre each, can eight acres be divided?

19. A man lends $1,200 at 6%, and $1,500 at 5%. What is the difference in the amount of yearly interest due on each?

20. A man owning of a ship, sold of his share. What part of the ship did he still own?

21. Find the sum of the prime numbers as far as 12.

22. 2+3+ 431 = ?

23. Interest of $1,234, for 30 days, at 6% ?

24. Interest of $1,234, for 6 months, at 4%?

25. How many rings, each 2 pwt. 12 gr., can be made from lb. of gold?

26. How far apart are two places whose difference in time is two hours and three minutes?

27. Find the number of sq. in. on the surface of a block 10 in. X 4 in. x 3 in.

28. How much would you pay for 3 yd. of cloth at 371¢ a yard?

29. Oil is worth 37 a pint. How many pints can I buy for $6?

30. Sold oranges for 1 apiece, gaining 50%. How much did they cost apiece?

1144. Boston Examination Questions. Slate.

1. Find the interest of $67.90 from June 24, 1871, to April 1, 1874, at 51%.

Find the amount of $389.75 from May 27, 1881, to February 12, 1885, at 8%.

2. If a man owning 45% of a steamboat sells of his share for $5,860, what is the value of the whole boat?

3. A farmer having 6 bu. 8 qt. of cranberries, lost by decay 7 pk. 7 qt. What, % had he left?

4. Sold tea for 114% of its cost, and made a profit of 7 a lb. Find selling price.

5. In of an acre of land how many building lots, each 60 ft. by 121 ft.?

6. What is the balance of a bill of $64.50 after two deductions have been made: the first, 10% on the $64.50; the other, 5% on what remained?

7. I bought a store for a certain sum, and after paying a tax of 21% on the cost and 1% more for insurance, I sold it for $7,828, which exactly covered the cost, tax, and insurance. What was the cost?

8. I send to my agent $4,488.75, of which he is to lay out what he can in land at $15.00 an acre, after deducting his commission of 5% on the cost of the land. How many acres can he buy, and what is his commission?

9. Find the interest of $2,500, for 2 yr. 3 mo. 7 da., at 71%. Find the bank discount and the proceeds of a 4-months note for $450, dated June 10, 1889, and discounted July 25, at 7%. For what sum must a 90-days note be drawn so that when it is discounted at a bank at 6%, the proceeds shall be $886.05?

10. John Johnston, of Vermont, sent to Smith Bros., of Boston, to be sold on commission, the following goods: 25 tons of hay, 2

tons of butter, 1,500 lb. of maple sugar, 75 gallons maple syrup. Smith Bros. sell the hay at $18 a ton, the butter at 20¢ a lb., the sugar at 7 a lb., the syrup at 90¢ a gallon.

Smith Bros. charge 2% commission. How much do they send to John Johnston?

11. How much will a granite block weigh which is 7 ft. long, 2 ft. 6 in. wide, 3 ft. 4 in. high? (12 cu. ft. of granite weigh a ton.)

12. Some men mowed 164 acres of grain in 7 days. same rate, how many acres could they mow in 93 days?

At the

13. Change and to decimals, and add them. Divide six hundredths by two ten-thousandths, and multiply the quotient by four millionths.

14. Lucy's hoop was 9 feet in circumference. How many yards would it travel in making 48 revolutions?

15. Bought 1 pk. 2 qt. 1 pt. of berries for $21. At what price per quart must they be sold to gain 121%?

16. I bought of an acre of land for $480, and sold it at a gain of 121%. What did I receive for it by the square foot?

17. A coal dealer bought 350 tons of coal, weighing 2,240 pounds each, at $3.50 a ton. He sold the coal at $4.25 a ton, each ton weighing 2,000 pounds. What was his profit?

18. A man paid $5,085 for his house, and as much for his lot. The cost of both amounted to of all his money. How much had he?

19. Mrs. Burns buys 40 yards of carpet of a yard wide. She uses 10% of it for a rug, and the remainder to carpet a floor. How many square yards does she use for the floor?

20. Mr. Burns sold his carriage for $224, which was of its cost. What per cent would he have gained if he had sold it for $210?

21. What is the difference between four thousand nine and seven hundred eighty-six ten-thousandths, and four hundred thousand nine and seven hundred eighty-six millionths.

If of a lb. of coffee costs $, what will 1 lb. cost?
Discover a fraction which, multiplied by 4, equals .

22. A box is 10 ft. long, 5 ft. wide, and 4 ft. high. How many yards of carpeting one yard wide will it take to cover the box on all sides?

23. A note for $1,750, with interest at 5%, is given May 10, 1887. How much money would pay it June 20, 1890?

What should I get June 10 for a 90-days note for $375, dated May 5, and discounted at 6%?

24. What % of of of is?

25. What must be the face of a note, given for 125 days, to obtain $1,244 from a bank, discount being at 8%?

26. Franklin Park contains 525 acres of land. worth at $0.37 a sq. ft.?

What is it

27. A owns 12 A. 13 sq. rd. 2 sq. ft., and B % of an acre of land. How much is it all worth at 10% per sq. ft.?

28. How many inches in of a mile?

29. Bought a horse for $90, and sold him for $95. What per cent of gain? Bought another horse for $95, and sold him for $90. What per cent was lost?

30. Bought land at $62.50 per acre, and sold it again at $75 per acre, thereby making $846,875. How many acres were bought?

VOLUMES OF PRISMS AND PYRAMIDS. OF CYLINDERS AND CONES.

1145. Slate Exercises.

SUGGESTION.

Have the pupils construct of cardboard a hollow square prism of convenient size, and a pyramid having base and altitude respectively equal to those of the prism. Let them use sand or water to ascertain how