1. How many sheets inquire? In 2 quires? In 5 quires ?

2. How many quires in ream? In 5 reams? In 10 reams?

3. How many quires in 48 sheets? In 96 sheets?

4. A man bought a box of letter paper containing 2 quires for 48. How much was that a sheet ?

5. I paid 36

for a box of paper containing 1 quire. How much was that per sheet?

6. Which is cheaper, to buy a ream of 500 sheets at a wholesale house for $2, or to buy 20 quires put up in boxes at 10% a quire? Why?

7. A man bought blotting paper at 72 a quire, and sold it at 5 a sheet. How much was his profit?

8. Letter paper is generally bought of a wholesale house by a printer in sheets 17 in. by 22 in. How many letter heads 8 in. by 11 in. can be cut from one sheet? Explain how. How many letter heads of this size will a ream of 500 sheets make?

9. A man wants 8000 letter heads 81 in. by 11 in. How many reams (500 sheets) of paper 17" x 22" must the printer order from the wholesale house for them?

10. A dealer bought 24,000 sheets of linen paper 17" × 22′ at $5 per 1000. He cut it into sheets 8 in. by 11 in., which he sold at 25 for 100. How much did he get for it? How much did he make?

11. A stationer buys 500 sheets of blotting paper 19′′ × 24". He cuts it into blotters 4" x 9". How many blotters will he have? What per cent of each sheet is wasted?

12. If he bought at 3 a sheet and sold at 5¢ a dozen blotters, how much did he gain?

1. How many things in a gross? In a great gross?

2. What does it mean to say that one lived to the age of threescore and ten?

3. How many pencils in 2 gross?

4. How many gross in 1000 pencils?

5. Find the cost of 1200 dozen penholders at $2.50 a gross.

15. ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION OF COMPOUND NUMBERS

The principles and methods of simple numbers apply equally to the fundamental processes in compound numbers. Problems in Addition

1. The lengths of the blackboards in a schoolroom are 4 yd. 1 ft. 8 in., 3 yd. 9 in., and 2 yd. 2 ft. 5 in., respec tively. Find the total length of the three boards.

8. At the remnant counter a girl bought one piece of ribbon containing 1 yd. 16 in.; another containing 2 ft. 20 in.; and a third containing 1 yd. 2 ft. What was the total length of the three pieces?

9. A room is 4 yd. 2 ft. 6 in. wide and 5 yd. 1 ft. long. How much border is required to go around it?

10. If my garden is 24 ft. 8 in. wide and 30 ft. 4 in. long, how much will it cost to fence it at 45¢ a foot?

11. How many feet of weather molding are necessary to go around a door 6 ft. 10 in. by 3 ft. 4 in.? How many for a window 4 ft. 6 in. by 2 ft. 6 in. ?

Problems in Subtraction

1. A piece of cloth contains 3 yd, 1 ft. 9 in. A piece 1 yd. 2 ft. 6 in. is used. How much remains?

WORK

3 yd. 1 ft. 9 in.

EXPLANATION. - Like units are written in columns. Since 1 ft. is less than 2 ft., change 1 yd. to 3 ft. and add the 1 ft. This gives 2 yd. 4 ft. Then 4 ft. - 2 ft. 2 ft., and 1 yd. 2 ft. 3 in. 2 yd. - 1 yd. = 1 yd.

1

2 6

=

6. When a boy was 10 yr. old, he was 1 yd. 11 in. tall. When he was 12 yr. old, he was 1 yd. 1 ft. 7 in. tall. How much did he grow in the two years?

7. Measure the height of some of the tallest pupils in the class, in yards, feet, and inches. Let each pupil find the difference between his height and that of the tallest in the class.

8. A board is 2 yd. 1 ft. long. A boy cuts off a piece 2 ft. 8 in. long. How much is left?

9. From an iron rod 3 yd. 2 ft. 6 in. long a blacksmith cuts off a piece 1 yd. 1 ft. 10 in. long. How much is left?

Problems in Multiplication

1. A wire fence 5 wires high is 34 yd. 2 ft. 8 in. long. How much wire does it take to build it?

WORK

=

EXPLANATION. 5 x 8 in. 40 in.; 40 in 34 yd. 2 ft. 8 in. =3 ft. 4 in. Write the 4 in.; 5×2 ft.=10 ft. 10 ft.+3 ft. = 13 ft.; 13 ft. 4 yd. 1 ft. Write the 1 ft. 5 x 34 yd. 170 yd.; 170 yd. + 4 yd. = 174 yd.

5

174 yd. 1 ft. 4 in. Multiply:

=

4. 2 hr. 13 min. 10 sec.

by 6.

2. 3 yd. 2 ft. 5 in. by 3. 3. 3 gal. 2 qt. 1 pt. by 4. 5. 3 sq. ft. 27 sq. in. by 8. 6. The desks in a school room are placed 2 ft. 10 in. apart. How long a row is required for 5 desks?

7. The side of a square lot is 24 yd. 2 ft. 4 in. What is the perimeter ?

8. How much belting does it take to drive 20 machines in a factory, if it takes 21 ft. 5 in. for each machine?

9. In the wood shop a boy constructs a table 2 ft. 4 in. high. How long a piece of timber does he need for the four legs?

10. A machinist desires to cut 4 bars, each 3 ft. 2 in. long. How long must the bar be from which they are cut?

11. Find the cost of 24 sash curtain rods 3 ft. 10 in. long at 8 a foot. Allow 1 ft. 9 in. waste in cutting.

Problems in Division

1. A man has a lot of which the frontage is 26 yd. 2 ft. He wishes to set 5 shade trees along the lot, one at each end. How far apart must they be placed?

FORM

6 yd. 2 ft. 4)26 yd. 2 ft.

EXPLANATION. 26 yd. ÷ 4 = 6 yd., with remainder 2 yd. Write the 6 yd. Reduce 2 yd. to feet, giving 6 ft. 6 ft.+ 2 ft. = 8 ft. 8 ft. ÷ 4 = 2 ft.

long. It is to contain 9

6. A coat rack is 15 ft. 8 in. hooks. The outer hooks are to be 2 in. from the ends. How far apart must the hooks be placed?

7. A fence 30 yd. 2 ft. 7 in. long is to be made with 12 posts. How far apart must the posts be set?

8. Three boys went nutting and gathered 2 pk. 3 qt. 1 pt. of nuts. They wished to divide the nuts equally among them. How many should each boy have?

16. LATITUDE AND LONGITUDE

NOTE. -A map should be used in teaching this topic. Practice should be given in finding the latitude and longitude of places, and of locating places in given latitude and longitude.

In the study of geography it is seen that the location of any point of the earth's surface is known by learning its distance north or south of the equator, called its latitude, and