LESSON VIII.

Dividing for Quotients of Five.

HOW many times are 3 contained in 15?

SOLUTION.-3 are contained 5 times in 15, because 5 times 3 are 15.

2. How many times are 2 contained in 10? 4 in 20? 5 in 15? 6 in 30? 3 in 15? 7 in 28? 9 in 45?

3. How many times are 6 contained in 24? 7 in 21? 8 in 40? 7 in 35? 9 in 36? 10 in 50? 12 in 60?

4. How many books can I buy for 50 cents, at the rate of 10 cents apiece?

5. How many pairs of boots, at 6 dollars a pair, can you buy for 24 dollars?

6. If there are 8 quarts in one peck, how many pecks are there in 40 quarts?

7. How many hours must a boat sail to go 36 miles, at the rate of 9 miles an hour?

8. Put the proper numbers after the symbol ÷ in the

1)5 2)10 3)15 4)20 5)25 6)30 7)35 8)40 9)45

5)55 8)80 4)124 5)250 8)248 9)279 4)808 3)129 7)217 6)240 5)205 2)408 6)306 7)2107 3)3639 4)4884 5)15005 6)12006 7)35714

LESSON IX.

Multiplying by Six.

IF one melon is worth 3 cents, how many times 3 cents are 6 melons?

2. How many are 6 times 3?

SOLUTION.-Six times 3 are 18, because the sum of six 3's is 18. 3. How many are 6 times 1? 6 times 2? 6 times 4? 8 imes 5? 6 times 6?

4. How many are 6 times 7? 6 times 8? 6 times 9? 6 times 10? 6 times 11? 6 times 12?

5. If Henry learned 4 lessons in a day, how many lessons would he learn in 6 days?

6. If

yards of cloth make a coat, how many yards will make 6 coats?

7. If a stage goes 8 miles in one hour, how far, at this rate, will it go in 6 hours?

8. There are 12 pence in one shilling; how many pence are there in 6 shillings?

9. Write the table of six times on the slate or blackboard, using the symbols X and =

LESSON X.

Dividing for Quotients of Six.

HOW many times are 5 contained in 30?

SOLUTION.-5 are contained 6 times in 30, because 6 times 5 are 30.

2. How many times are 3 contained in 18? 7 in 21? 8 in 24? 4 in 24? 9 in 36? 7 in 42? 9 in 54?

3. How many times are 12 contained in 24? 11 in 66? 7 in 42? 10 in 40? 8 in 48? 4 in 12? 10 in 60? 11 in 55? DIVISION TABLE.

4. If there are 2 pints in one quart, how many quarts are there in 12 pints?

5. Mary's doll cost 10 cents; how many dolls could she buy for 60 cents?

6. There are seven days in one week; how many weeks are there in 35 days?

7. In an orchard there are 48 trees, and 8 trees in a row; how many rows in the orchard?

8. Put the proper numbers after the division sign in the following.

1)6 2)12 3)18 4)24 5)30 6)36 7)42 8)48 9)54

6)42 3)42 4)56 6)72 7)98

8)104

9)117 6)240

3)396 8)488 9)549 7)427 6)366

5)305 6)360

4)3220 3)9630 5)2515

6)24060 7)14014

LESSON XI.

Multiplying by Seven.

IF one pen is worth 2 cents, how many times 2 cents are 7 pens worth?

2. How many are 7 times 2?

SOLUTION.-Seven times 2 are 14, since the sum of seven 2's

is 14.

3. How many are 7 times 1? 7 times 3? 7 times 4? 7 times 5? 7 times 6?

4. How many are 7 times 7? 7 times 8? 7 times 9? 7 times 10? 7 times 11? 7 times 12?

5. How much is the postage on 7 letters, if the postage on 1 letter is 3 cents?

6. If in one window there are 6 lights, how many lights are there in 7 windows?

7. John walked 9 miles, and Henry walked 7 times as far; how far did Henry walk?

8. You have 8 bones in one wrist; how many bones have you in both wrists?

9. Write the table of seven times on the slate or blackboard, using the symbols X and =.

LESSON XII.

Dividing for Quotients of Seven.

HOW many times are 4 contained in 28?

SOLUTION.-Four are contained 7 times in 28, because 7 times 4 are 28.

2. How many times are 3 contained in 21? 6 in 18? 7 in 49? 5 in 20? 6 in 42? 8 in 56? 9 in 54?

3. How many times are 8 contained in 56? 6 in 30? 4 in 16? 10 in 70? 11 in 66? 5 in 35? 12 in 84?

4. How many sheep, at 3 dollars a head, can be bought for 21 dollars?

5. If a boat sails 9 miles in one hour, how many miles will it sail in 7 hours?

6. If a tree yields 11 bushels of pears, how many peartrees will it take to yield 55 bushels?

7. How many tops can James buy for 32 cents, at the rate of 8 cents apiece?

8. Put the proper numbers after the division sign in

1)7 2)14 3)21 4)28 5)25 6)42 7)49 8)56 9)63

3)51 4)68 5)75 6)78 7)98 6)426 7)497 5)575 2)744 4)648 6)672 7)434 6)444 8)176 3)657

NOTE.-The teacher will show the pupils how to divide when there are remainders.