8. In what time will 25 men do a piece of work, which 12 men can do in 15 days?

9. (1) From + take +

(2) Find the value of of 13 of 121 of

(3) Reduce ‡ lb. to the fraction of a cwt.

10. (1) Divide ·0068 by 340, and 314 by ·0005. (2) Extract the square root of 3·026.

(3) Reduce 16 cwt. 1 qr. 21 lbs. to the decimal of

a ton.

11. I bought 40 oxen for £500, and sold 12 at a loss of 3 per cent.; how must I sell the rest per head so as to be free from loss on the whole?

12. Five hundred boys are distributed in 3 houses; the smallest house contains of the whole number, and the largest contains 12 of the smallest: what is the number in each?

13. Standard gold is formed by mixing 11 parts of fine gold with one part of copper; how many sovereigns will be coined from 4 oz. avoirdupois of fine gold, when 1 lb. troy of standard gold is coined into 4623 sovereigns? (1 lb. av. 7,000 grs. troy.)

XXV.

1. What number divided by 9,612 gives for a quotient 58,647 ?

2. A gold watch and chain cost £21, the watch being £11 10s. dearer than the chain; find the price of each? 3. (1) Required the cost of 25 cwt. of tobacco at £7 15s. 8d. per cwt.

(2) What is the weight, in lbs., of ten anchors, which weigh altogether 46 tons 1 qr. 17 lbs. ?

4. If A has £3 3s. 32d., and B has £2 0s. 104d.; how many farthings have they between them, and how much money must A give to B that the latter may have 2,000 farthings?

5. A farmer buys 14 sheep at £1 11s. 4d. each: three of them having died, at what price must he sell the rest to gain 38s. by the bargain?

6. What quantity of silver may be bought for £72, if the cost of 14 lbs. 6 oz. 15 dwts. be £45?

7. Find the cost of 2 qrs. 24 lbs. at the rate of 20 guas.

a ton.

8. If the carriage of 6 cwt. 2 qrs. for 124 miles cost £3 4s. 8d., what weight will be carried 93 miles for £3 Os. 7 d.?

9. (1) Add together, and 11.

(2) Divide 5 by 121.

(3) What is the value of 22 of £6 3s. 4d.?

10. (1) Add together 14-1254, 11·5, 16·0004 and 17·112. (2) Multiply 0625 by 1·74.

(3) Reduce 1 to a decimal.

28

11. Having sold 12 yards of cloth for £5 14s., I thereby gained 14 per cent.; what was the prime cost of a yard? 12. What number is that to which if of be added, the sum will be 1?

13. How many 3-inch squares can be cut out of a 12-inch square?

XXVI.

1. From one hundred tons subtract 10 cwt. 3 qrs. 16 lbs. 10 oz.

2. What is the cost of 8,630 yards of cloth at £1 9s. 3d. per yard?

3. Divide 355 tons 13 cwt. 2 qrs. 13 lbs. 12 oz. by 132. 4. A person bought 11 cwt. 1 qr. of sugar for £48 19s. Od., and sold it at 10d. per lb.; did he gain or lose, and how much?

5. What is the pay of 548 labourers for 15 weeks at 2s. 9 d. per day?

6. A bankrupt pays 14s. 74d. in the £ off a debt of £9,655; how much do the creditors lose?

7. If 4 oz. 15 dwts. of silver plate cost £1 11s. 6d., what will five articles, each 3 oz. 12 dwts., cost?

8. If 5 yds. of linen cost 11s. 2d., what must be given for 9 pieces, each containing 21 yds. 1 qr. ?

9. (1) Extract the square root of 172,265,625.

(2) From 1 take

(3) Reduce 4123
331386

to its lowest terms.

(4) Multiply 101 by 51.

10. (1) From 7·0000] take 700001. (2) Multiply 049 by 3.417.

(3) Divide 1138-47 by 125,000.

11. A gardener has a piece of matting 73 yds. 1 ft. 8 in. long, and 3 ft. 9 in. wide, to cover a wall 94 ft. long and 10 ft. high; how many square feet of wall will remain uncovered?

12. Express as a vulgar fraction 7-285714.

13. Find the least fraction which, when added to the sum of 3, 7, and 12, will make the result a whole number.

XXVII.

1. Find the difference between 17 tons 14 cwt. 1 qr. 17 lbs. and 19 tons 12 cwt. 3 qrs., and multiply the result by 175. 2. Find the G.C.M. of 742, 795, and 901.

3. Convert £426 17s. 9d. into dollars, at 4s. 74d. per dollar.

3

4. Divide £814 among 3 persons, in the ratios: 2:55. 5. How many yards of cloth, at 9s. per yard, must be given in exchange for 3 cwt. 3 qrs. 12 lbs. of sugar at 7d. per pound?

6. If the expenses of a family of 10 persons for 3 weeks be £22 1s., what will be the expenses of a family of 15 persons for 2 weeks 1 day?

7. Find the simple interest on £312 6s. 8d. for 1 year 120 days, at 4 per cent. per annum.

8. A person spending annually £240, saves £2 15s. of it

quarterly by ready payment: what is the rate of discount? If he by this means make an increase of 20 per cent. upon his annual saving, what is his annual income?

9. (1) Add together, of 3}, and

(2) Find the difference between of 12s. 6d. and of 15s. 4d.; and reduce the result to the

decimal of 4s. 6d.

10. If of a ship cost £5,427, what will be the cost of of her?

11. Extract the square root of 31.

12. (1) Reduce 0225 and 1·0347 to vulgar fractions.

(2) Divide 17.28 by 0144.

13. Find the sum of 2.024 of 3s. 8d., 128 of 12s. 9d., and 1·023 of £1.28. (Assistant Clerks'.)

SANDHURST AND LINE PAPERS.

XXVIII.

1. Add together 63, 2, 1, and 2.

2. Subtract 22 from 30.

3. Multiply 21 by 42.

4. Divide 5 by 193.

5. Add together 42.307, 05869, 57·933, and 439.2865.

6. Subtract 47.3825 from 150-293104.

7. Multiply 56-4 13 by ·0285.

8. Divide 11.83 by 26.

9. Reduce 275 of £1 13s. 4d. to pence.

10. Reduce I ton 3 cwt. 2 qrs. 9 lbs. to ounces.

11. If 3 acres of land cost £165 18s.; how much may be bought for £6716 14s. 6d.

12. Find the simple interest on £635 for 9 years at 3 per cent. per annum.

13. Add together 21, 5, 3, and 63.

14. Subtract 19,2% from 45.

39

15. Multiply together 65, 12, 163, and 3.

16. Divide 32 by 23.

ΤΟ

17. Add together 0625 of a shilling and 0375 of a pound. 18. Subtract 2.25 pints from 315 of a gallon.

19. Multiply 087654 by 385.

20. Divide 688.2 by ·555.

21. Express 4 hours as the decimal of a week.

22. In 234247 grains troy, how many lbs., ozs., dwts., &c.? 23. If 14 grains of gold cost 2s. 24d.; what is the price per ounce ?

24. If I pay £19 13s. 9d. per annum for income tax, being at the rate of 5 pence in the £; what is my income? 25. In what time will £445 amount to £486 14s. 41⁄2d. at 2 per cent. per annum (simple interest)?

26. Find by practice the value of 5 cwt. 3 qrs. 21 lbs. at £15 per ton.

27. The value of unwrought silver being 4s. 11d. per ounce and the workmanship equal to 3ths of the value of the metal; what will be the whole cost of a salver weighing 45 ounces ?

XXIX.

1. Add together 4, 15,, and .

2. Subtract 6 from 83.

3. Multiply 4 by 1.

4. Divide 17 by 3.

5. Add together 70 152, 00628, 1·905, and 3281.6013. 6. Subtract 47.6125 from 350·013.

7. Multiply 501 32 by 0063.

8. Divide 17-465 by 98.6 to three places of decimals.

9. Find the value of 6·125 of £1 13s. 4d.

10. In 3706529 inches how many miles, furlongs, poles, &c. are there?

11. If 69 lbs. of salt cost 7s. 24d., what will be the value of 4 cwt. 1 qr. 7 lbs.?