The working of the following is to be shown up :

10. Multiply 6842124 by 97036.

11. Multiply £7346 6s. 24d. by 9.

12. Multiply 2 tons 16 cwts. 3 qrs. 1 lb. by 52.

13. Multiply £2008 19s. 1ąd, by 719.

14. Divide 254559164209 by 8.

15. Divide 192354443227 by 623.

16. Divide 9 yards 1 ft. 7 in. by 7.

17. Divide £1625710 12s. 8d. by 541.

18. In 15 weeks 2 days 21 hrs. 15 secs. how many seconds?

19. In 18 tuns 1 hhd. 16 gallons 1 quart 1 pint of wine how many pints?

20. In 30541660 square inches how many acres, roods, &c.?

21. In 6795002 ozs. how many tons, cwts., &c.?

III. Set to Letter-Carriers and Rural Messengers, Post-Office.

(B.) ELEMENTARY ARITHMETIC.

No. 1.

1. Write down in figures four hundred and one thousand three hundred and nine.

2. Write down in figures two hundred millions eight thousand and eleven. 3. Write out in words 90,105,003,

The working of the following is to be shown up :

8. Multiply 75301201 by 97028.

9. Multiply 429772 by 370010. 10. Multiply £4288 6s. 43d. by 7. 11. Multiply £3509 1s. 24d. by 30. 12. Multiply £4156 11s. 6d. by 627. 13. Divide 573747025786 by 7. 14. Divide 697457274930 by 341. 15. Divide 7107107648961 by 5037. 16. Divide £2682076 2s. 6d by 12. 17. Divide £3059678 17s. 1d. 173.

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 of walking per hour?

6 Find (by Practice) the price of 9 qrs. 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. an acre.

10. Find (by Practice) the cost of 90876 articles at £5 12s. 6d. per dozen.

11. If a man travels 45 miles in 3 days by walking 4 hours a day; in what time will he travel 560 miles by walking 7 hours a day?

12. Bring 3 square miles 3 roods 3 poles to square feet.

This paper is used in tests and competitions, principally for Clerkships in the General Post Office. In the former case 1 hour is allowed.

(C.) HIGHER ARITHMETIC.

I. Set to Dockyard Apprentices and Factory Boys.

Time, 3 hours.

1. Write down in figures four hundred million five hundred and ten. 2. Write out in words the number 770050030.

6. From £543061 12s. 2 d. take £18021 15s. 5ąd.

7. Multiply 58640352 by 830506.

8. Multiply £24273 7s. 44d. by 93.

9. Divide £4367074 1s. Od. by 72.

10. Divide £19214673 3s. 3 d. by 5216.

11. If 14 lbs. of coffee cost 15s. 2d., what will be the cost of 129 lbs. ? 12. Find (by Practice) the dividend on £1,780 5s., at 14s. 10d. in the

pound.

13. Find the simple interest on £1,116 10s. for 8 years at 3 per cent. per

annum.

N.B.-The first thirteen questions should be answered before the others

are attempted.

14. In 8709354 inches how many miles, furlongs, poles, &c.? 15. Find the amount of £5,800 in 3 years at 6 per cent. per annum compound interest (neglecting fractions of a penny).

21. Subtract 8309 from 407.02.

22. Multiply 1703.02 by 93.05.

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

24. Divide 480 by 000875.

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

26. If I transfer £8,000 from the 3 per cents. at 89 to 31 per cents. at 91, how is my income affected?

27. Explain the terms "interest" and "discount," and find the difference between the interest and discount on £4180, in 3 years, at 43 per

cent.

28. If by selling wine at 17s. 5d. a gallon I lose 5 per cent., at what price must I sell it to gain 15 per cent.?

29. A cubic foot of water weighs 1,000 oz. Find the length of the side of a cubical vessel whose contents (water) weigh 4 tons, 12 cwts., 3 qrs., 10 lbs., 7 oz.

(A very recent Paper.—1869.)*

1. In 873,456 drachms how many tons, &c.

2. If 3 qrs. 5 bushels cost £8 14s., how much should be paid for 7 bushels

1 peck.

3. Find (by Practice) the dividend on £5,896 15s., at 11s. 6d. in the £.

4. Find simple interest on £125 10s. for 5 years, at 23 per cent. per

annum.

5. Add together 3, 4, 4, 3. (6.) Subtract from.

7. Multiply by 12. (8.) Divide by 19.

9. Add together 57 0346, 554, 7832, and 03.

10. Subtract 6.530267 from 10.82115.

11. Multiply 86-7521 by 15.60307.

12. Divide 694-68675 by 7.75.

13. How many farthings are there in 8.642 shillings?

14. In 3456857 inches, how many miles, &c. ?

15. How many yards of cloth at 10s. per yard are worth 189 yds. at 6s. 8d. 16. Find (by Practice) the cost of 15 cwt. 1 qr. 19 lbs. of sugar at 35s. per

cwt.

17. Find the amount of £880 in 4 years, at 33 per cent. per annum, Com

pound Interest, neglecting fractions of a penny.

*This, or a similar paper, is given where "Arithmetic, including Vulgar and Decimal Fractions," is required, at all Tests, Competitions, and all Qualifying Examinations.The time at Tests is 3 hours; and at Competitions 24 hours, and sometimes 2 hours.

18. Add together 31, 51, 44, 13, and 3.

19. Subtract 2 from 33. (20.) Multiply 8 by 7.

21. Divide 11 by

22. Add together 46832, 5·030267, 84.9736, and '564298. 23. Subtract 95367 from 1.83461.

24. Multiply 50623 by 4.07804.

25. Divide 1179256 by 0068.

26. Reduce 1s. 3d. to the decimal of a pound.

27. In 18 days, 17 hours, 19 minutes, how many seconds?

28. A bankrupt owes £3840, and his assets are £828, how much will his creditors receive in the pound?

29. Find (by Practice) the price of 5683 articles at 18s. 73d. each.

30. If £850 amounts to £913 15s., at 5 per cent. simple interest, find the time the sum is due.

31. Add together 73, 3, 4, and 34.

32. Subtract from 73.

33. Multiply by by f by

34. Divide 13 by 7.

35. Add together 3.64 grains, and 7.863 dwts. (troy).

36. Subtract 326 of a pound from 256 of 50s.

37. Multiply 8.4562 by 9.7302.

38. Divide 11000 by 13.75

39. Reduce 1 qr. 14 lbs. to the decimal of 1 cwt.

Answers of the above.

(1.) 1 ton 10 cwts. 1 qr. 23 lbs. 15 oz. (2.) £2 3s. 6d. (3.) £3,402 18s. 37 (4) £15 13s. 9d. (5) 12%. (6) 2. (7) 18. (8) 13. (9) 8443.0646. (10) 4.290883. (11) 1353-599088947. (12) 89-637. (13) 414-816 farthings. (14) 54 mls., 4 fur., 18 perches, 4 yds., 2 feet, 5 in. (15) 126 yards. (16) £26 19s. 84. (17) £1,009 16s. 5d. (18) 14418. (19) 43. (20) 373. (21) 12. (22) 91-036485. (23) 88094. (24) 2-0644261892. (25) 17.342. (26) 0625. (27) 1617540 seeds. (28) 4s. 34d. (29) £5292 5s. 10d. (30) 11 years. (31) 12726 (32) 633. (33). (34) 18. (35) 8 dwts. 352 grs. (36) 6s. 3.36d. (37) 82-28051724. (38) 800. (39) 375.

Given, as well as the preceding, at Competitive Examinations.
Time, 24 hours,

1. A and B had 140 shares in a company. A had 75 shares and B 65. The profit amounted to £34 2s. 6d.; how much should each get at the end of the year?

2. ✓57214096, and 572-14082 to three places of decimals.

3. An article was sold for 4s. at a loss of 8 per cent., what should it be sold for to gain 6 per cent.

4. A room 18 feet 2 inches long, 17 feet 9 inches wide, and 11 feet 6 inches high, is papered with paper at 73d. per square yards, find the cost?

5. Multiply duodecimally by 8 feet 7 inches 3 parts by 6 feet 7 inches 11 parts, and the product by 2 feet 5 inches, giving answer in cubic feet and inches, and the fraction of an inch.