Apothecaries' Weight

See page 282.

Apothecaries' weight is used by druggists in mixing medicines.

1. How many drams are there in 120 gr.? 180 gr.? 30 gr.?

2. How many ounces in 72?

3. How many pounds in 963?

4. How many grains in 13?

360? 8D?

1443? 243?

13? 33?

5. How many grains in b? b? 2?

6. How many pills of 2 grains each can be made from 33 2 of quinine?

7. A pound Avoirdupois weighs 7000 grains. Which is heavier, an Apothecaries' pound or an Avoirdupois pound, and how much?

8. What part of an Avoirdupois pound is an Apothecaries' pound?

9. How many grains in an Avoirdupois ounce?

10. How many grains in an Apothecaries' ounce ?

11. What is the ratio of an Apothecaries' ounce to an Avoirdupois ounce?

12. Change 10 pounds Avoirdupois weight to Apothecaries' weight.

13. How many 5 grain powders can an apothecary put up from 2 Avoirdupois pounds?

14. How many pounds Avoirdupois are there in 20 pounds Troy?

15. Change to grains: 2lb 83, 3lb 43 43.

16. Change to scruples: 61b 33, 23 13 2ð.

17. Change to higher denominations: 42gr.; 18; 403.

Problems from Geography

The map on page 60 is drawn to the scale of 500 miles to the inch.

1. Estimate the shortest distance from Boston to San Francisco.

2. About how long would it take a train to go in nearly a straight line from Boston to San Francisco at an average rate of 40 miles an hour?

3. About what part of the average length of the country is its average width?

4. Estimate the number of square miles in the country.

5. Estimate what part of the whole country is included in New England.

6. About what is the average size of the states?

7. Estimate the size in square miles of Pennsylvania, Alabama, Iowa, Montana, Colorado, California.

8. About how many states of the size of Texas could be formed from the United States?

9. Which states are of about an average size?

10. How much larger is California than the average of the states?

11. About what is the ratio of the area of Massachusetts to that of New York?

12. What is the ratio of the area of New York to that of Texas?

13. What is the ratio of the area of Massachusetts to that of Texas?

14. About what part of the country is west of the Rocky Mountains?

15. What part of the country is drained by the Missis sippi River and its tributaries?

Miscellaneous Problems

1. If I buy a roll of wall paper 24 feet long and 18 inches wide to cover a box 3 feet 6 inches long, 2 feet wide, and 1 foot 6 inches high, how many square feet of paper will be left if there is no waste?

2. What is the volume of a cube whose entire surface is 54 square inches?

3. The length of a rectangle is 5 times its width. It contains 125 sq. ft. What is its length?

4. How many square rods in a piece of land 99 ft. long and 66 ft. wide?

5. If one of the acute angles of a right triangle measures 25° 12', what is the size of the other acute angle?

See p. 78.

6. How large is each of the angles of an equilateral triangle?

7. If one of the angles at the base of an isosceles triangle is 36° 30', what is the size of each of the other angles?

8. An excavation is made for a cellar 60 ft. long, 40 ft. wide, and 7 ft. deep. A cellar wall 2 ft. wide is built around the four sides. How many cubic feet are there in

the wall?

9. What is the distance around the cellar after the wall is built?

10. How many square feet are there on the inside of the walls of the cellar?

11. How many square feet are there in the bottom of the cellar?

12. How much will it cost to cement the bottom of the cellar at 25 cents a square yard?

3. How many times is 20 contained in 100?

In 700?

4. How many times is 25

contained in 100?

In 900?

contained in 100?

In 1500?

5. How many times is 33 6. How many times is 50 contained in 200? In 2400? These fractional parts of 100 are used so frequently in business calculations that it is important to become familiar with them.

7. Multiply 121 by 48.

8 times 121 are 100. Since 48 is 6 times 8, 48 times 12 is 6 times 100, or 600.

8. Divide 500 by 163.

163 is contained in 100 6 times, and in 500 5 times 6 times or 30 times.

In multiplying or dividing think how many times the number it takes to make 100.