The working of the following is to be shown up.

8. Multiply 5301201 by 57023. 9. Multiply 429772 by 370010. 10. Multiply £4288. 6s. 43d. by 7. 11. Multiply £3509. 1s. 24d. by 39. 12. Multiply £4156. 11s. 6d. by 620. 13. Divide 573747025786 by 5. 14. Divide 697457274930 by 341. 15. Divide 107107648961 by 5037. 16. Divide £2682076. 2s. 6d. by 12. 17. Divide £3059678. 17s. 1d. by 133.

N.B.-In working the above, correctness is of the greatest importance. Additional credit, however, will be given for doing them quickly.

No. 2.

(Including Reduction, Rule of Three, and Practice.)

Time allowed, 1 hour.

1. In 2306090 ozs. how many tons, cwts., &c.?

2. A ton of potatoes cost £7; what would have been the price of 24 lbs.

3. Find (by Practice) the dividend on £1740. 5s. at 14s. 2d. in

the pound.

4. In 6 furlongs 4 poles 5 yards 2 feet how many inches?

5. A man walks 17 miles 1650 yards in 3 hours and 45 minutes; what is his rate per hour?

6. Find (by Practice) the price of 9 quarters 2 bushels 1 peck at £2. 16s. 8d. per quarter.

7. Reduce 600 half-guineas to half-crowns.

8. A bankrupt pays a dividend of 6s. 8d. in the pound; what is the loss of the creditor to whom he owes £750?

9. Find (by Practice) the rent of 23 acres 3 roods 15 perches at £1 13s. 4d. the acre.

(c.)-HIGHER ARITHMETIC.

No. 1.

(Set to Dockyard Apprentices and Factory Boys.)

1. Write down in figures four hundred million five hundred and ten. 2. Write out in words the number 77005003.

5. From 1974821862 take 820905820.

6. From £543061. 12s. 2d. take £18921. 15s. 5 d.

7. Multiply 58640352 by 830506. 8. Multiply £24273. 7s. 41d. by 9. 9. Multiply £7053. 11s. 6d. by 52. 10. Divide 532659798203 by 467. 11. Divide £4367074. 1s. Od. by 72. 12. Divide £214673. 3s. 3 d. by 521.

N.B.-The first twelve questions should be answered before the others are attempted.

Reduction.

13. Reduce 12 cwt. 3 qrs. 13 lbs. and 5 oz. to ounces.
14. In 8709354 inches how many miles, furlongs, poles, &c.?

Proportion or Practice.

15. Find the dividend on £7352. 13s. 4d. at 12s. 6d. in the pound. 16. If 8 cwts. cost 42 guineas, what is the price of 195 lbs. ?

Decimals.

21. Add together 500-9, 125, 0037, and 903. 22. Subtract 8309 from 407.02.

23. Multiply 1703.02 by 93.05.

24. Divide 112.03 by 98.52 to 3 places of decimals.

25. Divide 480 by 000875.

26. Reduce 9s. 44d. to the decimal of a pound.

Miscellaneous.

27. Extract the cube root of 25 to 3 places of decimals.

28. Multiply by the method of duodecimals 3 ft. 1 in. 11 pts. by 4 ft. 6 in. 8 pts., and the product by 2 ft. 7 in.

29. Express the result of the last question in cubic feet, cubic inches, and a fraction of a cubic inch.

30. Define "Present Value," and find the true Discount on £501. 10s. Od. due 6 months hence, at 4 per cent. per annum, simple interest.

31. A bankrupt has good debts to the amount of £456. 18s. 1d., and the following bad debts, £360. 7s. 10d., £120. 13s., and £19. 18s., for which he receives respectively 4, 5, and 9 shillings in the pound; his own liabilities amount to £3408. 12s.; how much can he pay in the £?

No. 2.

(a.) Used in Preliminary Test Examinations, and others which are not competitive.

1. How many lbs., ozs., &c., are there in 721572 grains of gold? 2. A ton of potatoes cost £7; how many pounds might have been bought for 3s.?

3. Find (by Practice) the dividend on £1430. 12s. at 13s. 4d. in the pound.

4. Find the simple interest on £435. 15s. for two years at 2 per cent. per annum.

5. Add together 84, 14, 4, and 217.

6. Subtract 3 from 83.

7. Multiply 9 by 48.

8. Divide 72 by 41.

9. Add together 813, 420.91, 00093, 7·043, and 12560. 10. Subtract 59.87 from 506.222.

11. Multiply 757.04 by 15.8.

12. Divide 22.097 by 543·14 to three places of decimals. 13. Find the value of 2.625 of a pound sterling.

14. In 5864542 inches how many miles, furlongs, &c.?

15. If a horse trots 23 miles in two hours and a half, what is his rate per hour?

16. Find (by Practice) the price of 7 ozs. 14 dwts. 21 grains of gold at £2. 13s. 4d. per ounce.

17. Find the amount of £2700 for four years at 3 per cent. compound interest (neglecting fractions of a penny).

22. Add together 50004, 46, 579, and 1201-043. 23. Subtract 19.9876 from 75.

24. Multiply 45-267 by 7.045.

25. Divide 15.96 by '065.

26. Reduce 18s. 84d. to a decimal of 2s. 2d.

27. Reduce 5 acres 13 poles to square feet.

28. If 4 cwts. of sugar cost 21 guineas, what is the price of 195 lbs.?

29. Find (by Practice) the price of 34 cubic yards 3 feet 288 inches

of earth, at £3. 6s. 9d. per yard.

30. In what time will £2,220. be doubled at 6 per cent. simple interest?

35. Add together 2764, 1824, 176·09032, and 47.

36. Subtract 7·20147 from 872.70032.

37. Multiply 7.045 by 974.01.

38. Divide 1.765 by 2470 to five places of decimals.
39. Reduce 1s. 2d. to the decimal of 12s. 84d. to four places.

No. 3.

Used in Competitive Examinations of candidates who have not been previously tested.

1. In 3 lbs. 10 ozs. 4 dwts. 12 grs., how many grains troy? 2. How many acres will 34 men reap in the time that 10 men take to reap 23 acres?

3. Find (by Practice) the price of 2 cwt. 1 qr. 10 lbs. of soap, at 3s. 9d. per stone of 14 lbs.

4. Find the simple interest on £73. 5s. 6d. for 5 years 6 months, at 3 per cent. per annum.

9. Add together 802.573, 31.095, 9.7235, and ⚫507. 10. Subtract 11.709 from 12.0954.

11. Multiply 34.742 by 3.25.

12. Divide 169-24 by 549 to 3 places of decimals.

13. Find the value of 2.0875 of £1.

14. In 2771443 seconds, how many weeks, days, &c.?

15. A fortress is provisioned for 3 weeks, at the rate of 15 ozs. a day for each man: If only 10 ozs. are served out daily to each man, how long can the place hold out?

16. Find (by Practice) the amount of a man's wages for 3 weeks, 4 days, 8 hours, at 6s. 8d. a day; reckoning 10 hours to a day. 17. Find the amount of £2,700. for 4 years, at 6 per cent. compound interest (neglecting fractions of a penny).