8. Divide 9.3828 by 1117, by 11'17, and by '01117. 9. What is the difference between the simple and compound interest on 550/. for 3 years at 5 per cent. ?

10. A merchant sold goods for 7537. more than he gave for them, and cleared 15 per cent.: what sum did he buy them for?

11. Two boats start from Iffley to row a race: the one rows 31 strokes a minute, and clears 30 feet every stroke; the other rows 33 strokes and clears 28 feet: in how long will the quicker boat of the two row the course (1 mile 720 yards), and how far will it be ahead when it passes the winning post?

XIV.

1. What is the price of a Turkey carpet 20 feet 6 inches long by 12 feet 9 inches wide at a guinea the square yard?

2. If I can write 300 pages of a book in 2 months working 7 hours a day, in how many months could I write 450 pages working 9 hours a day?

4. Express as decimals, and ; and as a vulgar fraction ⚫6765.

5. Find the value of 05625 of 17. and 38671875 of a cwt.; and reduce 41d. to the decimal of half a crown.

6. Divide 138:4365 by 61.5 and 3.25 by 81; and multiply 45.51 by '0347.

7. What is the difference between the value of the

simple and compound interest on 2751. for 3 years at 5 per cent. per annum ?

8. If I invest 3570l. in stock at 2 premium, which pays a dividend of 7 per cent., what income do I derive from it?

9. A grocer bought 40 lbs. of tea at 2s. 6d., and 90 lbs. of coffee at Is. 9d. per lb.; he sold the tea at 4s., and the coffee at Is. 6d. what did he gain or lose by the transaction ?

XV.

1. Find the L.C.M. of 34, 51, 85, 120, 170.

2. Simplify

3. Add together of g of 5s. 4d., 1⁄2 of 1⁄2 of 6s., and of of 25.

4. The rental of an estate is 13847. 16s. per annum: what is the nett income derived from it after deducting an assessment of 2s. 91d. in the pound?

5. Two clocks are set together; one loses 7 seconds in 24 hours, the other gains 8 seconds in the same time: when will one be half an hour before the other?

6. Reduce 3 d. to the decimal of 10s., and divide the result by 12'5.

7. Find the cost of papering a room 21 ft. long, 161 ft. wide, 101 ft. high at 71 per square yard.

8. Find the square roots of 3452164 and of 0001.

E

9. A person buys shares in a railway at 197. 10s. when 15. has been paid, and after paying a call of 10l. per share, sells them again at 327. 9s.: how much per cent. does he gain?

10. If Moira coal costs 31s. per ton, and Wallsend coal 46s. per ton, how much do I gain or lose by buying 24 tons of Moira, supposing 3 tons of Wallsend to last as long as 4 tons of Moira?

XVI.

1. A can run 10 yards to B's 9: how many yards start must A give B in a mile to make an even race? 2. Find the G.C.M. of 180194 and 1973594.

4. Divide I by '0025 and by '0025, and multiply 1000

by 0001 and 0001.

5. Add together 0015 of ten shillings, 2:0615 of half a guinea, and 13357 of half a crown.

6. Find by Practice the value of 6156 articles at 8s. 1 d. each.

7. A room 10 feet high, 20 feet long, and 16 feet wide; it contains a door 8 feet high by 4 feet wide, and two windows, each 5 feet by 3 feet: how many square yards of paper are required to cover the walls?

8. If I sell out 10000l. from the 3 per cents. at 94 and buy 6 per cent. debentures at 105, what will be the difference in my income?

9. Find the discount on 10257. 12s. 6d. for six months at 5 per cent. per annum.

10. A, who has of a property, assigns of his share to his son; his son pays 77. 10s. for income tax, at 6d. in the £: what is the annual value of the whole property?

XVII.

4461219

1. Reduce to its lowest terms 359715, and find the L.C.M. of 2, 3, 4, 5, 8, 12, 72, 84.

2. Simplify the following fractions :

3. What will be the cost of paving a passage 15 yds. 2 ft. 6 in. long and 3 yds. 6 in. wide with tiles costing 18s. per square yard?

4. Add together 53, 36.875, 431, and 2 of 71; and divide the result by 'OI.

5. Find the value of 2.325. + 457.—'497.—175 of 3s. 4d., and reduce 3 lbs. 6 oz. to the decimal of 4 cwt. 2 lbs.

6. Find the square root of 1461681 and of 901.8009. 7. If 6 men can dig 5 acres in 8 days of 10 hours each, in how many days of 12 hours each can 4 men dig 6 acres?

8. At what rate of interest will 2560l. amount to 33287. in 5 years?

9. If I sell out 1000l. from the 3 per cents. at 88, and buy shares at 110 bearing 5 per cent. interest, what difference do I make in my income?

10. A tradesman bought tea to the amount of 100% at 25. per pound, and retailed it at 4s. per pound; afterwards he bought tea to the same amount at 4s. per pound, but, in consequence of damage sustained in transit, he was compelled to retail it at half the cost price; what did he gain or lose on the double transaction?

XVIII.

1. A man has to place 10 stones in a row 10 yards apart from each other, returning for each stone separately to the place of starting: how far will he have to walk supposing that he deposits the first stone at the place of starting?

2. Simplify the following expressions:

(1) 3−(1⁄2 + 1) −(3 + 1).

3. Divide 42.5 by '017 and find the value of '625 of 3 lbs. Avoirdupois.

4. If a man buys 560 tons of coal at 14s. 8d. per ton, and sells them at 11d. per cwt., how much will he gain by the transaction, and what will be his profit per cent. on his outlay?

5. Find the square root of 1'00060009.

6. If 5 bricklayers build a wall 5 ft. high and 100 yards long in 3 days, how long will it take 7 men to build a wall 200 yards long and 34 ft. high?