LESSON 12

1. What part of a pound is 88. 4d.? 120d.?

2. What part of a pound is 480 far.?

3. If I pay £1 a week for board, how much is the price per day? How much per meal?

4. A man bought a quantity of silk for £17 98. Express the cost in United States money.

5. An importer purchased silk at 10 francs a yard and retailed it at $2.12 a yard. Find the gain.

6. Change to United States money: 250 francs; 500 marks; 300 rubles; 350 lira.

7. $500 equal how many rubles? How many francs? How many marks? How many lira?

Long Measure is used in measuring lines or estimating distances. The standard unit of long measure is the yard.

1 mi. = 320 rd. = 1760 yd. = 5280 ft.
=5280 ft. 63,360 in.

=

8. Change 2 mi. 180 rd. 4 yd. 2 ft. 8 in. to inches. 9. Change 683,721 in. to higher denominations. 10. How many inches in 6 yd.? ft.? .16 of 2 yd.? .16 ft.? .55 yd.? .08 of 3 ft.?

11. Find the sum of 21 mi. 42 rd. 3 yd. 2 ft. 9 in., 32 mi. 14 rd. 13 ft. 8 in., 32 rd. 16 ft. 7 in., 18 mi. 9 ft. 9 in. 12. Multiply 18 rd. 5 yd. 11 in. by 9.

13. Divide 160 mi. 49 rd. 9 ft. 4 in. by 7.

LESSON 13

1. Express .75 rd. in integers of lower denominations.

3.2 rd.; .31 ft.

8. Change to yards: .4 mi.;

9. Change to rods: .05 mi.; 66% of 5 mi.; 21 ft.; 64 yd. 10. Change 2 yd. 1 ft. 11 in. to the fraction of a rod.

11. Change 2 ft. 3 in. to the fraction of a rod. 12. Change 3 yd. 1 ft. 8 in. to the fraction of a rod. 13. Change & mi. to integers of lower denominations. 14. Change 128 rd. 4 yd. 2 ft. 6 in. to the fraction of a mile.

15. Change 147 rd. 3 ft. 3.6 in. to the decimal of a mile.

MODEL. 147 rd. 3 ft. 3.6 in. 29145.6 in.

16. Change 46 rd. 6 ft. 7.2 in. to the decimal of a mile. 17. Change 2 yd. 1 ft. 1.5 in. to the decimal of a rod.

18. Change 139 rd. 1 yd. 3.6 in. to the decimal of a mile. 19. Change rd. to integers of lower denominations. 20. Change .875 rd. to integers of lower denominations.

LESSON 14

1. Reduce 24 of a rod to the fraction of an inch.

MODEL. rd. = 2 × 16 ft. = ft.
2

2. Reduce

3. Reduce

4. Reduce

5. Reduce

24

1 ft. = × 12 in. = in. Ans.

56

of a rod to the fraction of an inch.
of a rod to the fraction of a foot.
o of a mile to the fraction of a foot.
of a foot to the fraction of a mile.

MODEL. 1 mi. = 5280 ft.

6. Reduce

1 ft. = 5280 mi.

ft.

=

= 3 × 5280 mi. = 7040 mi. Ans.

yd. to the fraction of a mile. 7. Reduce ft. to the fraction of a rod. 8. Reduce in. to the fraction of a yard.

9. Find the sum of § mi. 3 rd. .375 yd.

10. Find the sum of .45 mi., § rd., yd., .32 ft.

11. Find the sum of 3 mi., rd., 4 ft.

12. Find the sum of .625 mi., .25 rd., .375 yd.

2. From 93 mi. take 6 mi. 165 rd. 9 ft.

3. Take rd. from mi.

4. From of 42 mi.

5. How much will

a rod?

6

42 Ans.

take g of 16 mi. 1 rd. 9 ft.

of a mile of fence cost at $1.50

6. If a boy can earn £5 12s. 6d. in 6 da., how much can he earn in 1 da.? Express answer in United States money.

7. If a primer costs 9d., how many primers can be bought for £6 68.?

8. Each side of a square field is 100 rd. 3 yd. 2 ft. 6 in. What is the distance around it?

9. If a ship sails 12 mi. 240 rd. 23 yd. in an hour, in how many hours will she sail 408 mi. 16 rd.?

10. How many pence equal £ + z8. ?

LESSON 16

The principles of reduction as explained in Long Measure apply to all denominate numbers.

Surveyors' Linear Measure is used by surveyors and engineers in measuring distances, as roads, dimensions of land, etc.

Gunter's chain, named after its inventor, Edmund Gunter, is 792 inches, or 66 ft., or 4 rd. long, divided into 100 links of 7.92 in. each. Engineers generally use a chain or tape 100 ft. long.

1. How many chains in 5 mi.? 2 mi.? 5 mi.?

2. How many links in 5 ch.? 10 ch.? 6 ch.?

3. How many feet in 2 ch.? How many miles in 240 ch.? 4. What part of a mile is 20 ch.? 48 rds. equal how

many chains?

5. How many chains in 132 ft.? 720 ch. equal how many miles?

6. How many chains in 550 li.? In 825 li.?

7. Reduce 2 mi. 36 ch. 24 li. to links.

8. Reduce 64 ch. 75 li. 2 in. to inches.

9. Change 6336 in. to chains.

10. Find the cost of constructing a road bed for a railroad 80 mi. 70 ch. at $2000 a mile.

11. Change 42 ch. 60 li. to rods. To feet.

12. 45 ch. 80 li. equal what part of a mile?

13. A boy rode on his bicycle a distance of 30 ch. in At the same rate, how long would it take him to go a mile?

45 sec.

14. How many chains and links in 480 li.?

15. Reduce ch. to units of lower denominations. 16. Change ch. to the fraction of a mile.

LESSON 17

1. What is a surface?

Any plane surface bounded by three or more straight lines is called a Polygon. The Area of a polygon is the