MENTAL EXERCISES.

1. Here are 6 boys with a kite; how many times 3 boys are there?

ANS. 2 times. Why 2 times? Because there will be as many times 3 boys as 3 is contained times in 6; 3 in 6, 2 times. Therefore 6 boys are 2 times 3 boys.

2. Jane divided 8 peaches equally among 4 of her companions; how many did she give to each? Why?

3. At 3 cents a quart, how many quarts of cherries can you buy for 9 cents? Why? How many for 12 cents? Why?

4. How many hats, at 4 dollars apiece, can you buy for 12 dollars? How many for 16 dollars? Why?

5. When lemons are 3 cents apiece, how many can be bought for 15 cents? Why? How many for 18 cents? Why?

6. If you walk 4 miles an hour, how many hours will it take you to walk 20 miles? Why? How many to walk 24 miles? Why?

7. There are 3 feet in a yard; how many yards are there in 21 feet? Why? In 27 feet? Why?

8. At 4 dollars a cord, how many cords of wood can be bought for 28 dollars? Why? How many for 32 dollars? Why?

9. A gentleman divided 30 cents equally among 3 children; how many did each one receive? Why?

10. A class of 3 boys answered 33 questions in arithmetic, each an equal number; how many questions did each one answer? Why?

11. There are 4 quarts in a gallon; how many gallons in 36 quarts? Why? In 44 quarts? Why? In 40 quarts? Why? In 48 quarts? Why?

MENTAL EXERCISES.

1. If 6 ladies and gentlemen can ride in one carriage, how many carriages will accommodate 12 ladies and gentlemen? ANS. 2 carriages.

Why 2 carriages? Because, if only 6 ladies and gentlemen can ride in 1 carriage, it will require as many carriages for 12 ladies and gentlemen to ride in as 6 is contained times in 12; 6 in 12, 2 times. Therefore, it will require 2 carriages.

2. Harriet paid 5 cents a yard for silk braid; how many yards could she buy for 10 cents? Why? For 20 cents? Why? For 15 cents? Why?

3. When lard is 6 cents a pound, how many pounds can be bought for 18 cents? For 28 cents? For 24 cents? Why?

4. A man has 30 dollars, which he wishes to lay out in flour, at 5 dollars a barrel; how many barrels can he buy? If he had 40 dollars, how many barrels could he buy? Why?

5. How many tons of coal, at 6 dollars a ton, can a blacksmith purchase for 30 dollars? For 42 dollars? For 36 dollars? Why?

6. At 5 cents a quart, how many quarts of milk can you buy for 35 cents? For 45 cents? Why?

7. In New England, 6 shillings make a dollar; how many dollars are there in 48 shillings In 54 shillings? In 60 shillings? Why?

8. How many spools of thread, at 5 cents apiece, can you obtain for 50 cents? For 60 cents? For 55 cents? Why?

9. When bonnets are 6 dollars apiece, how many can be bought for 54 dollars? For 66 dollars? For 72 dellars? Why?

MENTAL EXERCISES.

1. Seth sold his wagon for 21 cents; how many slates can he buy with the money, at 7 cents apiece? ANS. 3 slates.

Why 3 slates? Because, if he pay cents apiece, he can buy as many slates for 21 cents as 7 cents are contained times in 21 cents; 7 cents in 21 cents, 3 times, since 3 times 7 are 21. Therefore, he can buy 3 slates.

2. Levi paid 7 cents for his ball; how many balls can he buy for 14 cents, at the same price? Why? How many for 28 cents? Why?

3. If Giles can buy a hoop for 8 cents, how many hoops can he buy for 16 cents? For 32 cents? For 24 cents? Why?

4. If it take 7 yards to make one dress for a girl, how many dresses can be made from 35 yards? From 42 yards? Why?

5. How many bins will be required to contain 48 bushels of wheat, if each bin contain 8 bushels? How many bins to contain 40 bushels? Why?

6. At 7 dollars a ton, how many tons of hay can I buy for 49 dollars? For 63 dollars? For 56 dollars? Why?

7. If there are 8 trees in each row, how many rows are there in an orchard consisting of 64 trees? How many in an orchard consisting of 56 trees? Why?

8. In one week there are 7 days; how many weeks are there in 70 days? In 84 days? In 77 days? Why?

9. How many books can you buy for 72 cents, at 8 cents apiece? How many for 88 cents? For 80 cents? For 96 cents? Why?