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7. Multiply 35,0871. 178. 71d. by 7. 8. Multiply 9,0037. 19s. 1d. by 39. 9. Multiply 3,0017. 6s. 41d. by 351. 10. Divide 2975069895 by 35. 11. Divide 628010082621 by 709. 12. Divide 89,075l. 13s. 6d. by 9. 13. Divide 713,2021. 13s. 4d. by 576. 14. Write down in figures :—

(1) Nine million ten thousand and nineteen.
(2) Five thousand and six million eight thou-
sand and ninety-four.

15. How many yards of paper (one yard wide) are required to paper a room 15 feet long, 12 feet wide, and 10 feet high?

16. How many days were there between the 3d June 1850, and the 3d March 1855, both inclusive?

17. If the telegraph posts are known to be 66 yards apart, and one is observed to pass the window every three seconds, how many miles an hour is the train travelling?

b. Including Vulgar and Decimal Fractions.

Reduction.

1. Reduce 63 cwt. 2 qrs. 5 oz. to drams.
2. Reduce 14 lbs. 11 oz. 11 grs. to grains.
3. Reduce 496 sq. yards 2 sq. feet to inches.

4. How many half-crowns are there in 83,645 dollars, each worth 4s. 6d.

5. How many miles, &c. are there in 3,126,749 inches?

6. Reduce 2,099,520 cubic inches to yards.

Proportion.

7. Find the amount of income tax on 9457. 17s. 6d. at 14d. in the £.

8. A bankrupt's effects amount to 2,548 guineas, and his debts to 3,0577. 12s.; what will his creditors

9. How many yards of paper, 29 inches wide, will paper a room which is 22 feet 9 inches long, 17 feet 3 inches wide, and 9 feet 8 inches high?

10. If 5 men can do a piece of work in 27 days, how long would 6 men be in doing double the quantity?

11. If, when wheat is 11s. 3d. the bushel, the sixpenny loaf weighs 28 oz., how much should it weigh when wheat is 84s. the quarter?

12. If the carriage of 65 lb. for 120 miles costs 6s., how much may I have carried 750 miles for a guinea?

Practice.

13. Find the value of 372 at 8s. 74d.

14. Find the value of 19 cwt. 1 qr. 13 lbs. at 21. 11s. 4d.

15. Find the value of 204 at 37. 12s. 5d.

16. What is the dividend on 5,3987. at 14s. 3d. in the pound?

17. Find the value of 2 roods 19 poles 12 yards of land at 801. 13s. 4d.

per acre.

18. What must a person whose property is rated at 430l. 14s. contribute to a poor rate of 10d. in the pound.

Interest.

19. Find the interest on 30007. for 8 months at 4 per cent., less income tax at 14d. in the £.

20. Find the interest on 260l. 10s. for 3 years at 4 per cent.

21. What sum of money put out to interest for 31 years at 4 per cent. will amount to 2961. 8s.?

22. At what rate per cent. will 3201. amount to 3607. 16s. in 3 years?

23. In what time will 1711. 7s. 6d. amount to 2177. 1s. 6d. at 3 per cent.

24. Find the compound interest on 250l. for 2 years at 4 per cent. per annum, the interest being payable every half year.

Vulgar Fractions.

25. Reduce 3432 to its lowest terms, and divide the

result by 12.

26. Add together

+ + 12 + 8 + 10% and

substract the result from 21.

27. Reduce 34 of 47 of 384 to a single fraction, and multiply it by 63.

28. Add together of a pound, of 21. 10s. 3d., and 3 of 14s.

29. Reduce 6 acres, 1 rood, 4 poles to the fraction of 21roods.

30. If lb. cost 8s. 2d. what must I pay for 54 lb.?

Decimals.

31. Add together 004, 2.08, 314-6073, 19784, 10000, 90-4; and subtract the result from 21118-0116. 32. Multiply 41.018 by 200 and 1·02 by 3·067. 33. Multiply 671 by 42 and by 0420.

34. Divide 738.952716 by 07 and by 70. 35. Divide 69-814 by 00521 and by 52100.

36. Reduce of a half-crown to the decimal of a guinea.

37. Reduce 2.0445 and 000625 to vulgar fractions. 38. Reduce and 49 to decimals.

39. Reduce 144 and 34218 to vulgar fractions.

It is to be remarked, in respect to the preceding as well as other examination papers, that it is not absolutely necessary that the candidate should answer all the questions. The Commissioners have purposely intermixed easy questions with others of greater difficulty, with the object of enabling candidates moderately acquainted with the subject to show sufficient knowledge, and at the same time to afford an opportunity for the display of better acquaintance with the subject to those who may have acquired it. The latter, of course, will have the advantage of standing first in the list, and in strictly competitive examinations will gain

2. BOOK-KEEPING.

a. Single Entry.

Read the following memorandum of part of a day's transactions:

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1. State what books would be necessary to record these transactions, and which of them would be entered in each.

2. Give a copy of the ledger account of W. Barton as it would stand when all these entries are posted into it. 3. Give a similar copy of my account as it would stand in W. Barton's ledger.

Record the following transactions in the necessary books:

1856.

Jan. 1. Bought of R. Symonds & Son :

20 doz. Sauterne, 40s.

10 doz. Chablis, 42s.

4. Bought of J. Copplestone:

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Answer the following questions:

1. In what is book-keeping by double entry different rom book-keeping by single entry?

2. In the ordinary system of book-keeping by double entry, what books are necessary, and which of them is peculiar to it?

3. A buys goods of B to the amount of 50l.: What should be the entry of the transaction in A's journal, and what in B's?

4. If on balancing the ledger the amount on the lefthand side of merchandise / should be greater than

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