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Arithmetic. — For Class E and Junior Civil Service. Time allowed: 3 hours. [The working of each Question must be given.] 1. Divide six million seven hundred and twenty-three thousand eight hundred and sixty-four by forty thousand and twenty-three. To the quotient add half of itself, and square the result. Write your answer in words. 2. Show, by simple examples, (a) that multiplication and division are but short methods of addition and subtraction respectively; and (b) how to prove the correctness of your results in those rules. 3. If the weight of a cubic foot of water be 1,0000z., find the weight of a cubic inch in grains. 4. The cost of carpeting a square room at ss. a square yard is £6 55., and the painting of the walls at 9d. the square yard is £2 12s. 6^d. What is the height of the room ? 5. A field of 13J acres yields corn to the value of £108 18s. when the price is 445. per quarter. Find the extent of a field that would return £134 4s. when corn is selling at 455. 9d. 6. Find, by Practice, the cost of 48 square yards 8 square feet 114 square inches at 13s. 7£d. per square yard. 7. Explain the difference between a vulgar and a decimal fraction, and show how the one may be converted into the other. What fractions produce terminating and what recurring decimals ? 8. Find the value of ££(6§ + 2£)+|^j^|x -95 of ss-+Hd--9. By what decimal must r00503 be divided so that fths of the quotient may be -859? 10. A woman, by selling eggs at 9 for 7d., gains 12 per cent. At what price must she sell them per dozen to gain 20 per cent. ? 11. What sum must be put out to interest at 4f per cent, to become £49 os. sfd. in 5J years? 12. Define discount, and find the present worth of £131 12s. 6d. due three months hence at 5 per cent. 13. The 3-per-cent. stock is at 98f, and the 3J-per-cents at 106 J. Which is the better investment ? 14. The .standard silver coin of Great Britain is made of 37 parts of pure silver and 3 of copper, and a pound Troy of this metal yields 66 shillings. What weight of pure silver is there in 20s. ?

Geography. — For Glass E and Junior Civil Service. Time allowed: 3 hours. [All candidates should take at least two out of the first four Questions. Eight Questions should be answered well to gain full marks.] 1. Explain the following terms: Ecliptic, plane of the earth's orbit, meridians of longitude, tropic, vernal equinox, spring-tide, watershed, avalanche, moraine, cyclone. 2. How are " the seasons "to be accounted for ? When is the sun vertical at the equator, an<? when at either tropic ? 3. Describe the circulation of the water in the North Atlantic and in the North Pacific basin. 4. What are the trade-winds ? What is their direction ? How are they to be explained ? 5. Describe the characteristic physical features of your own provincial district. (N.B. —A good sketch-map will increase the value of your answer.) 6. Draw a map of the English coast from Berwick to Plymouth, inserting rivers and chief coast-towns. 7. Where and what are the following : The Lothians, Connemara, the Fens, the Tyrol, the Landes, the Campagna, the Engadine, the Morea, the Terai, the Tundra, the Sunderbunds, the Great Karroo, the Prairies, the Pampas, the Llanos, the Selvas, the Punjaub ? 8. Describe the course of the Nile or of the St. Lawrence, noting its principal tributaries, the chief towns on its banks, and the characteristic features of its basin. 9. Give the situation of each of the following places: Boston, Lucknow r, Philadelphia, Halifax, Eio Janeiro, Washington, Delhi, Graharnstown, Genoa, Antwerp, Valparaiso, Ballarat, Demerara, Chicago, Dundee, Tokio. 10. What is the general configuration of the Australian Continent ? What reasons are there for thinking that it was not always one island ?

History. — For Glass E and optional for Junior Civil Service. Time allowed : 3 hours. 1. The Barons struggled against the power of John and of his immediate successor: briefly recount the chief incidents of the struggle, and show (more fully) how its issue affected the liberties of the people. 2. What was the fate of each of the following persons: Joan of Arc, Perkin Warbeck, Algernon Sidney, Admiral Byng ? Write a short biography of any one of them. 3. How was the claim that was set up on behalf of Arabella Stuart supported, and what results followed the failure to establish it ? 4. State what you know about the Scotch and the Irish rebellions in the reign of Charles 1., and their effect on the Civil War. 5. There was a Triple Alliance in 1668, and another in 1717 : what countries entered into them, and what were the objects of the contracting parties ? 6. In the reign of Charles 11., and again in 1689, measures were passed by Parliament to render the liberties of the people more secure than they had previously been : what were these measures, and what their principal provisions ?