5. Make out cost of mowing a meadow containing 29 acres 2 r. 35 p., at 3s. 6d. per acre.

6. What must be paid for paving a yard containing 2344 sq. feet 72 in., at 5s. 6d. per sq. yd. ? 2344 sq. feet. 72 in. = 260 sq. yds. 4 sq. ft 260 square yards.

Cost

=

260 × 5 = £71 12s. 9d.

7. If a rectangular block of stone 11 ft. 11 in. long, 11 ft. 3 in. wide, and 9 ft. 11 in. deep, weigh 146 tous 11 cwt. 25 lbs., what will be the weight of a block of like material 8 ft. 3 in. long, 7 ft. 7 in. wide, and 6 ft. 3 in. deep?

Content of 1st block = 143 × 135 × 119

143 x 135 x 119: 99 × 56 × 75 :: 146 11 25: x

8. If the rent of 39 acres 2 roods 20 poles is £148 11s. 10 d., what will be the rent of 42 acres 1 rood?

9. Three lots of ground are sold, containing respectively 59 acres, 76 acres, and 39 acres 12 poles; £12 7s. 10d. per acre was paid for the first lot, £13 15s. 9d. per acre for the second, and £16 8s. 6d. per acre for the third; what was the price of the whole ? £ s. d. x £12 7s. 10d. = 737 5 7

59

76

39

£13 15s. 9d. = 1054 14 10/
£16 18s. 6d. = 661 6 10

10.

Find the number of square yards in an acre.
Ans., 4840 yards.

11. A strip of land is 282 yards 1 foot long, what must be its width to contain 10 acres ?

Width =

10 × 4840

847

x 9 180 yds.

12. Find the area of a room the length of which is 7 yds. 9 in. and the breadth 17 ft. 8 in.

13. Find the expense of lining with tin the whole of a cubical box, one edge of which is 4 feet 6 in., at 1s. 8d. a square yard.

Cost =

4×6×20

9

14. How often will a wheel 3 yards in circumference turn between London and York, the distance being 176 miles.

15. How many square feet of paper will cover the walls of a room which is 26 feet 10 in. long, 17 feet broad, and 19 ft. 7 in. high?

Surface 26ft. 10in. x 19ft. 7in. x 2+17 × 19ft. 7in. × 2 =19ft. 7in. × 2(26ft. 10in.+17)=39ft. 2in. × 43 10 470 × 526235 × 263.

=

==171638.

16. What length of matting one yard wide will cover the floor of a hospital hut, 32 feet 8 in. long by 19 ft. 10 in. wide?

392 × 238 144 × 9

17. If 55 cubic feet 1605 cub. inches of timber are required to floor a room 30 ft. 6 in. by 20 ft. 7 inches, what is the thickness of the boards?

= !!!!! = 128 in.

32215
27934

18. If the circumference of the fore-wheel of a carriage be 56 inches, and that of the hind wheel 68 inches, how many more turns will be made by the fore-wheel than by the hind wheel in a distance of four miles?

119

19. How many yards of velvet trimming

wide can be cut from 1

yard

yards of velvet which is of a yard wide, and what is the whole number of yards of trimming worth at 24d. per yard.

(x1) yds.

=

78 (18)d.

9

= 8
18

= 18 yds. at 21d. =

45d. 3s. 9d. Ans., 18 yds.; 3s. 9d.

20. How many strokes of his legs must a person on a bicycle give in going 26 miles, supposing each wheel to have a circumference of 34 yards, and that two strokes turn the wheel once round?

Number of strokes = (26 × 1760) × 2

31

Ans., 28,000 strokes.

= 28000

21. If it cost £3 12s. 6d. to paper a room 21 feet square and 14 feet high, what will be the cost to paper one 15 feet square and 9 feet high?

(21 × 14 × 4): (15×9×4):: £3 12s. 6d. : » = 3 x 15 x 9 29

21 × 14

= 8

45

1

7X 29

2

22. How many cubic feet are contained in a case measuring 10 ft. 6 in. long, 6 ft. 8 in. wide, and 4 ft. 10 in. deep?

Cubic contents = (10 × 6 × 4) cubic feet = (7x5x29) cubic feet =

3

23. Find by duodecimals the solid content of a room 14 feet 7 in. long, 12 ft. 5 in. wide, and 11 ft. 3 inches high; express the result in cubic feet and fractions of a cubic foot.

ft. in.

14 7

12 5

175 0

6 0 11

181 0 11

11 3 0

1991 10 1

45 3 2 9

2037 1 3 9 =

(2037+++) cubic feet =

,144+36 +9

2037

Ans., 2087 cubic feet.

24. A canal 10 miles long is 8 yards wide at the top, 6 yds. wide at the bottom, and 5 ft. deep. How soon would the excavation of it be completed by 800 men, each removing on an average 15 cubic yards per day?

Contents of canal = 10 × 5280 ×

24+18
-2

5,544,000 cubic feet.

×5=

25. A room is 24 ft. long, 13 wide, and 93 high; the ceiling is whitewashed at 7d. per doz. sq. yards; the walls are papered at d. the square foot (deducting 16 per cent. for windows, doors, &c.); and the floor is carpeted at 3s. 7d. the square yard. Find the whole cost.

Area of ceiling = (24×133)=(2 * × 21) =
feet 36 sq. yds.

324 sq.

Area of walls = 24× 9 × 2+131 × 9 × 2 = 19(131+24)=19×373=19×25=1425 sq. feet.

Area, including doors, &c. =

26. A rectangular piece of ground of 9 acres 1 rood 16 pls. is one-third as broad as it is long. What is (1) the distance round it, (2) from one corner to the opposite corner?