This is 20% of the entire number belonging to the school. Find the number belonging.

5. On a stormy day in winter, out of a membership of 240 pupils, 121% are absent. How many children are absent? How many are present?

6. A school is in session 5 hours a day. Out of this time, 30 minutes are taken for recesses and recreation. What per cent of the time is used for class work and study?

7. A test in arithmetic contains 5 problems to be solved. What per cent of the whole number is each problem? What per cent of credit should be given for 3 problems correctly solved? For 4 Problems?

8. Find the per cent of credit that should be given when 9 problems out of 10 are correctly solved. When 7 out of 8 are correctly solved.

9. In a test containing 10 questions, a pupil gets a mark of 80%. How many of the questions were answered correctly?

10. How many questions are correctly answered in a test containing 12 questions when the mark given is 833%?

[With pencil.]

II. A certain city has 3420 pupils enrolled in its schools. 20% of this number are in its high school. Find the membership of the high school.

12. It costs this city $72.24 a year for each pupil in the high school and 663% of this amount for each pupil below the high school. How much does it cost the city for each pupil below the high school?

13. Find the total cost to the city of the high school for a year. Of the schools below the high school. (See problems 11 and 12.)

14. In another city the cost per pupil in the high school is $50.00; in the grammar school, $33.50. The cost per pupil in the grammar school is what per cent of that per pupil in the high school?

*15. In a certain school, the cost of heating and caring for the building is $5.72 per pupil. This is 163% of the total amount spent on each pupil. The school has a membership of 308 pupils. Find the total amount spent on the school.

54. Problem Test

[Without pencil.]

1. A boy earns $8.00, 75% of which he puts into a savings bank. Find the amount put into the bank.

2. A bank pays 4% interest. How much interest is due on $300 left to draw interest for 6 months?

3. I borrow a sum of money; 4% of the amount is $8. Find the total amount borrowed.

4. A boy buys a pair of skates for $1.50. Later he sells them at second hand for $1.00. What per cent of the cost does he lose?

5. A book that cost 60¢ is sold at a gain of 30¢. The gain was what per cent of the cost?

6. Shoes are selling at a discount of 20%. At this rate, how much must be paid for a pair marked $10.00?

[With pencil.]

7. A man earning $3600 a year spends 15% of his money for rent, and 10% for clothes for himself and his family. How much of his income is left after taking out these two expenses?

8. A kitchen stove marked $45.60 is sold at a discount of 20%. Find the price at which it is sold.

9. I leave $900 to draw interest in a bank for 4 months at 3%. How much money can I draw out at the end of the four months? 10. Three per cent of a boy's savings amounts to $9.78. Find the total amount.

II. A house was bought for $2500 and sold for $2200. The loss was what per cent of the cost?

CHAPTER VII. MEASUREMENTS

55. Linear Measure

[Use pencil only when needed↓

1. Estimate in inches the width, then the length, of the top of your desk.

2. Compare your estimate with the exact measurements.

Notice in the drawing how the pencil is placed in relation to the ruler, so as to include in the measurements the beveled edge of the desk.

3. What is the length of your desk in feet and inches? What is its width in feet and inches?

4. Estimate in feet the width, then the length, of your schoolroom. Write your estimates in a table like the one below. Complete your table by writing in, first, the actual measurements of the room, and next, the number of feet and inches by which your estimates differ from the correct measurements.

5. Estimate the dimensions of one of the blackboards in your schoolroom. Also of one of the doors and of one of the windows. (Make a table for each.)

6. With a yard stick draw a line 1 yard long.

COMPUTING LENGTHS AND DISTANCES

239

7. Mark off on your schoolroom floor a distance 1 rod long. 8. Find the length of your schoolroom in yards. In rods and feet. 9. Write from memory the table of linear measure, and then compare your table with the one at the back of the book.

10. The top of a school desk is 16 in. wide and 24 in. long. What are its dimensions in feet?

11. A schoolroom is 24 ft. by 28 ft. What is its width in yards? What is its length in yards?

12. A corridor is 2 rd. 10 ft. long. What is its length in feet?

'Two boards are placed end to end. One board is 12 ft. 7 in. long; the other, 11 ft. 9 in. long. What is their combined length?

[Use pencil only when needed.]

1. What is the sum of 18 ft. 10 in. and 12 ft. 11 in.? Of 9 ft. 5 in., 16 ft. 10 in., and 8 ft. 3 in.?

2. Add: 4 yd. 7 in. to 9 yd. 32 in.; 1 rd. 12 ft. to 2 rd. 10 ft.

3. A triangular garden measures 13 yd. 18 in. on one side, 10 yd. 12 in. on another side, and 12 yd. 16 in. on the third side. What is the distance around the garden?

4. What length of fence is required for two sides of a building lot if one side measures 30 yd. 2 ft., and the other, 15 yd. 2 ft.?

5. 9 ft. 4 in. + 7 ft. 7 in. + 8 ft. 9 in. =?

6. 8 yd. 27 in. + 4 yd. 24 in. + 9 yd. 11 in. = ?

7. 4 rd. 12 ft.+ 10 rd. 9 ft. =?

8. 5 rd. 7 ft.+ 4 rd. 6 ft. + 7 rd. 11 ft. =?

II

How much longer is a fish pole 9 ft. 6 in. long than one 7 ft. 3 in. long? Than one 6 ft. 8 in. long?

1. Explain how the first of these answers was found.

In solving the second problem, since the 8 in. could not be subtracted from 6 in., 1 ft. was taken from the 9 ft. in the minuend, called 12 in., and added to the 6 in. The problem then stood: 8 ft. 18 in. - 6 ft. 8 in.

=

?

[Use pencil only when needed.]

2. Find the difference between 14 ft. 9 in. and 12 ft. 7 in. Between 20 ft. 4 in. and 14 ft. 10 in.

3. Subtract 4 yd. 12 in. from 10 yd. 17 in.; 12 yd. 24 in. from 40 yd. 7 in.; 4 rd. 5 ft. from 9 rd. 12 ft.