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5. If a cubic foot of marble weighs 2-716 times as much as a cubic foot of water, find the weight of a block of marble 6 ft. 4 in. long, Ift. 6 in. broad, and 1 ft. thick, having given that a cubic foot of water weighs 1,000 oz. 6. Find the sum, difference, product, and two quotients of lO'Ol and o'oo9l, and the sum of the five results. 7. A merchant fails for £7,852 165., and pays a first dividend of lis. Bd. in the pound, and afterwards a second dividend of Bs. 9d. in the pound on what was then due : find what his estate realised, and how much in the pound he paid altogether. 8. What distance will a train travel in 3 hours 39 minutes 22 seconds at a speed of 49 miles 7 furlongs 52 yards an hour ? 9. A person bought railway stock at 88f, and, after receiving a half-year's dividend at the rate of 4-J- per cent, per annum, sold out at 93f, and made a profit of £142 10s.: how much stock did he buy ? 10. A farmer bought 749 sheep, and sold 700 of them for the price he paid for the whole, and afterwards sold the remainder at the same price a head as the others : find the gain per cent. 11. The capacity of a cistern is the sum of two cubes whose edges are 10 in. and 2 in. respectively, and the area of its base is the difference of two squares whose sides are li ft. and 1-f ft. respectively : find its depth. 12. The capital of a company is £64,875, and the profits of the year amount to £5,143 lis. : find to the nearest quarter the highest dividend that can be paid, and how much will be carried forward.

Arithmetic. — For Class E, and for Junior Civil Service. Time allowed: 3 hours. 1. (a.) Multiply 54-87797 by 1-52332. (b.) Divide 4-318234 by 9-019582. (c.) Find the L.C.M. of 19£, 19f, and 21£. In (a) and (6) give the result correct to three places of decimals. 2. There are three railway lines each one mile long: one rises Ift. 9in. for every 100 ft. of line ; another rises 1 ft. in every 53 ft. of line ; and the third rises 106 ft. in the mile : which line is the steepest, and how much does each line rise in a distance of 76 chains 24 links ? 3. A gallon of water weighs 10 lb. avoirdupois, and a cubic foot of water weighs 62-355 lb. Find correctly to two places of decimals the number of cubic inches in a gallon. 4. The sides of a rectangular plot of grass are 125 ft. and 65 ft. 6 in. : find its area in square feet, and find the length of the side of a square of equal area. 5. If £1 = 4-86 dollars, find the price in English money of 78 cwt : 3 qr. 121b. at 15 dollars 20 cents a hundredweight. 6. The driving wheel of a locomotive is 44in. in diameter: how many times will the wheel revolve while the locomotive travels ten miles ? [Note. —The circumference of a circle may be taken as 3-1416 times the diameter.] 7. A bankrupt's debts amount to £3,549, and he is expected to pay 12s. 6d. in the pound. If it is found that his assets have been overestimated by £133 Is. 9d., how much in the pound can he actually pay ? 8. What sum would amount to £1,405 19s. in three years at compound interest if the rate is 3 per cent, per annum for the first year, 4 per cent, per annum for the second year, and 5 per cent, for the third year? 9. The Post Office Savings Bank allows interest at 3 per cent, per annum on money deposited for each complete month the money is in the bank. A depositor opens an account in January, 1898, by paying in £5 on the 31st January, and he pays in £5 on the last day of each month of the year: find the interest due to him on the Ist January, 1899. 10. What sum of money must be invested in the 3-per-cents at 102 to secure an income of £940 clear of income-tax at sd. in the pound ? 11. A manufacturer ships a crate 10 ft. 2 in. long, 7 ft. 9 in. wide, and 5 ft. 5 in. high : give the dimensions in centimetres, and find how many cubic metres the crate contains. [Note. 1 inch = 2-54 centimetres.] 12. Gold is sold to the mint at £3 17s. 9d. an ounce, and is mixed with an alloy worth ss. 2d. an ounce, in the proportion of 11 of gold to lof alloy. Sovereigns are coined of the mixture, each weighing 5 dwt. 4 gr. : find to the nearest penny the mint profit on 100 sovereigns.

Arithmetic. — For Senior Civil Service. Time allowed: 3 hours. 1. Find the value of 3 tons 3 cwt. 3 qr. 21 lb. at 16s. Bd. per cwt. 2. Show how the product of 315 and 285 may be obtained without multiplying out. q airmail J-l/l+J-Nl V 3 f-_ 2 i_l_ l i • 8 * 3. Simplify 1 1 + m^;} X 3fo£2i _i s | - igg4. Divide 0-0576495 by 384-33; and express 1-2 year - 1-327 of 308 days as the decimal of half a year. 5. Show that the difference between the simple interest and the true discount on any sum of money for a given time at a given rate is equal to the interest 'on the true discount for the same time and rate; and find this difference on £750 16s. due 2\ years hence at 2| per cent. 6. A has an income which is 0-69 of -J- U ]• of B's: compare their incomes; and, if B after spending £364 per annum has a surplus of 0-545 of his income, find A's income.