11. How many square yards in a roof the rafters of which are 16 feet long and the ridge-pole 25 feet long.

12. If the height of a staircase is 15 feet, and that of each step is 9 inches, how many steps are there in the staircase?

13. How many yards of carpet, of a yard wide, will be required to carpet a floor 20 feet by 19 feet?

We must decide whether the strips are to run across the room or lengthwise, and how much must be turned under or cut off. The number of yards in a strip multiplied by the number of strips will give the required number of yards.

In this case we decide to lay the strips across the room; 20 feet divided by 3 of a yard will give the number of strips. of a yard equals 24 feet. 20 feet divided by 24 feet equals 8 (times). 8 is the number of strips required. We must buy 9 strips, and turn under or cut off of the width of one strip. 19 feet equals 63 yards, the length of each strip if we cut the strips the exact length of the room. But if we allow of a yard for turning under, the strips will be 6 yards in length. 63 yards × 9 = 60 yards, the number of yards required.

14. How many yards of carpet, of a yard wide will be required for a floor 24 feet by 15 feet, if the strips run crosswise?

15. How many yards of carpet, 3 of a yard wide, will be required for a room 7 yards long, 6 yards wide, if the strips run lengthwise and there is a waste of of a yard in each strip in matching the pattern?

16. How many yards of carpet will be required for a stair of 12 steps, if each step is 18 inches wide and 7 inches high?

17. How many cords of wood in a pile 40 feet long, 4 feet wide, and 5 feet high?

18. How many cords of wood can be piled under a shed 24 feet long, 18 feet wide, and 12 feet high?

19. How many boxes, 4 inches long, 3 inches wide, and 2 inches deep, can be packed in a box 3 feet long, 3 feet wide, and 2 feet deep, measured on the inside?

20. How many fence boards, each 16 feet long, will be required to fence a field 80 rods long and 40 rods wide, the fence being 4 boards high?

21. Mr. A.'s orchard covers 2 acres. Allowing two square rods for each tree, how many trees are there?

22. How many loads of earth of 1 cubic yard each will be needed to fill in a lot, 45 feet front, 90 feet deep, to raise it 14 feet?

1. 1. A man gave away 6 dollars out of every hundred dollars he had. How many dollars did

he give out of 200 dollars?

Of 600 ?

2. 7 is what part of 100?

100? 1 is what part of 100?

Of 300 dollars?

9 is what part of

One one-hundredth of a number is one per cent of it; two hundredths, two per cent.

The term per cent means by the hundred.

Any per cent of a number is so many hundredths of it. The rate per cent is the rate per hundred. 3. 6 hundredths of a number is what per cent

of it? 4 hundredths? 10 hundredths?

25 ?

100

5

4. What per cent of a number is of it?? 100? 100 ? 150 ?

100

100

5. What per cent of a number is .05 of it? .15 of it? .45? .12? .66? .03?

The character %, called the per cent sign, is used for the words per cent. 8% is read, 8 per

cent.% is read, of 1 per cent.

6. How many hundredths of a number is 6% of it? 9% of it? 10 % ? 7% ? 50%? 150% ?

2. Any per cent of a number may be expressed in four ways: In words, as a common fraction, as a decimal fraction, and by the per cent sign.

1. Express decimally: 6%, 11%, 125%, 150%.

125 % = 1.25

2. Express decimally: 12%, 18%, 17%, 331%, 871%, 1121%.

183 % = .183

3. Express, first as a common fraction, then as a decimal: 3%, 5%, 8%, 12%, of 1,2 of 1 per cent, of 1, of 1 per cent, 1 per cent, 3 per cent, of 1 per cent.

First, of 1% = 3 of 10 = 480; second, 3% expressed decimally .003. Ans.

=

% is how many ten-thousandths, expressed decimally. Write and complete the following table:

3. To find a given per cent of any number.

1. What is 5% of 300?

5% of 300 is 1 of 300. 1 of 300=3. 1 of 300 = 15, 5% of 300 is 15. Expressed decimally, 300 ×

.05 = 15.

2. What is 4% of 600? 800? 900? 250 ?

3. What is 8 % of 200? 300? 480? 560? Express the rates decimally.

4. What is 7% of 350? 9% of 630? 10% of 900 ?

5. What is 81% of $984.36? (8% = .08.) 6. What is 6% of $650.80? 121% of $500? 7. What is 3% of 360 days?

8. What is 110% of 250 bushels?

9. What is 200 % of 250 bushels?

10. What is % of $60.50? % of $45?

11. I bought a lot for $500, and sold it for 8% more than it cost me; what was my gain?

12. If a lot is bought for $500, and sold for 6 % less than the cost, what is the loss?

13. In a school of 200 pupils 6% are absent; how many are absent? How many are present?

14. A man having 400 acres of land gave 25 % of it to his son; how many acres did he give away?