HISTORY FROM 1789.

W. STEBBING, ESQ., M.A.

1. State the circumstances which led to the alienation of Mr. Addington and Lord Grenville from Mr. Pitt; Lord Castlereagh, Sir Robert Peel, and the Duke of Wellington from Mr. Canning; and the majority of the Conservative party from Sir Robert Peel.

2. With what measures are the names of Mr. Dundas (afterwards Lord` Melville), Mr. Huskisson, Mr. Wilberforce, Lord Brougham, Mr. O'Connell connected?

3. Give the names and dates of the battles in which General Graham, Lord Gough, General Stuart, Admiral Codrington, Sir Ralph Abercrombie, Lord Howe commanded.

4. State the grounds on which dissensions have arisen, since 1789, between the East India Company and any Governors of British Possessions in the East Indies.

5. State the causes of our wars with Afghanistan, Persia, Burmah, Turkey, Mehemet Ali.

6. Describe very briefly the various stages through which the French Revolution passed, before the assumption of the title of Emperor by Napoleon I.

7. Sketch the history of Poland since 1789.

8. What revolutionary agitations broke out in 1848 ?

9. What differences are there in the territorial limits of Continental States in 1863, as compared with 1789?

10. Point out the consequences, more or less direct, of the battles of Hohenlinden, Austerlitz, Jena, Friedland, Leipsic. Give the dates of those

events.

ARITHMETIC.

REV. CANON HEAVISIDE, M.A.

1. The sum of 409l. 14s. 10d. is expended in paying 31. 6s. 74d. to each man of a company; how many men were there in the company?

2. How many guineas are there in 13121. 10s.?

3. By a reduction of 5d. per lb. in the duty on tea, the loss to the revenue is estimated at 16590007.; on how many pounds of tea is the duty levied ?

4. If 90 cwt. can be carried 840 English miles for 1211., what should be the cost of carrying 270 cwt. 1000 Irish miles, it being given that 14 English miles are equivalent to 11 Irish miles?

5. Find the simple interest on 3781. 2s. 6d. for 14 years, at 6 per cent. per annum.

6. A man buys a gun for 31. 2s. 6d., and sells it for 31. 5s. 11d.; find his gain per cent. on the purchase money.

7. Explain why the fractions,, may be reduced to equivalent fractions with a common denominator 35. Reduce +16+ and express the result as a decimal.

321

8. What fraction of the habitable globe, which is computed to contain 37673000 square miles, is the area of Great Britain, which contains

74688000 acres, it being given that 640 acres make a square mile. Show that the fraction required is nearly equal to

12.

9. In the decimal 6085 explain the local value of each digit. Divide 0016027 by 341, and 1.69 by '000013.

10. Sugar being composed of 49-856 per cent. of oxygen, 43.265 per cent. of carbon, and the remainder of hydrogen, how many pounds of each of these ingredients is there in 4 tons of sugar?

11. A person purchases 20,000l. 3 per cent. stock at 967, and sells out at 821; how much does he lose by the transaction?

12. Divide (·0001)2 by (02). Find the square root of (1) 9.3467164176; (2) 11 to four decimal places.

Afternoon Paper.

MATHEMATICS.

REV. CANON HEAVISIDE, M.A.

VOLUNTARY PORTION.

1. What is the balance of a Ledger account: If the "Dr." side of an account is the greater on which side is the balance. What is a trial balance?

Open and close in your ledger the stock, cash,

93 17 2

Jan. 4. Paid Wilson for binding

Sales

Jan. 5. Sold 75 copies of Essays, at

6s. each

Jan. 5. Bought books of Cox & Co. and paid Cash.

2. What is meant by the arbitration of exchange? What is a Bill of Exchange?

If 197. 10s. be exchanged for 472 francs 90 centimes, what is the course of exchange between London and Paris?

3. If the course of exchange between London and Paris be 25 francs 60 cents, and between Paris and Amsterdam 57 florins for 120 francs,

find the arbitrated rate between London and Amsterdam ?

4. (A) owes (B) 3201., of which 1007. will become due in 2 months, 140/. in 6 months, 801. in 7 months; find the equated time of payment of the whole 3201.

5. Find by the aid of the logarithmic tables : 1. (·057864)*.

2. A mean proportional between (12.56) and ('0564)3.

6. Prove

7. Parallelograms upon the same base and between the same parallels are equal to one another.

8. The angles in the same segment of a circle are equal to one another.

9. Inscribe an equilateral and equiangular quindecagon in a given circle.

10. When are two rows of magnitudes said to be proportionals "ex æquali." Show that the sides about the equal angles of equiangular triangles are proportionals, and those which are opposite to the equal angles are homologous sides.

11. Define the cotangent of an angle, and trace its sign and extreme values between 0 and 180°.

12. When two sides of a plane triangle, and an angle opposite to one of them, are given to solve