The passages marked B are more difficult than those marked A; those marked C more difficult than those marked B. The Examiner should avoid testing two successive Candidates with the same passages. A The Examiner, beating time, will sol-fa, or recite without musical intonation, any one of the measures marked A, and then any one marked B; calling upon the Candidate, after each has been so sol-faed or recited, not more than three times, to give the Duration names (Crotchet, Quaver, or other) of the notes composing it. Or, C The Examiner will himself give the Duration Names of which any measure is composed, and call upon the Candidate to sol-fa or recite it. In classifying the Candidates, credit should be given to readiness as well as to accuracy, in answering to the tests. ARITHMETIC. Male Candidates. The solution must in every instance be given at full length. A correct answer if unaccompanied by the solution or if not obtained by an intelligible method, will be considered of no value. [This direction was repeated in the Arithmetic paper for Female Candidates (p. 20), and in the paper on Algebra and Mensuration (p. 23).] SECTION I. 1. Multiply three millions seven thousand and five by four hundred and seven. Prove the sum by casting out the nines. 2. Divide eight hundred and sixteen millions eight hundred and eighty-seven thousand six hundred and sixty-five by four hundred and seven. Why do you begin at the left hand side? 3. Divide £404 88. 01d. among 17 women and 19 men, giving each woman twice as much as a man. SECTION II. 1. How many turns does a hoop, 2 yds, 16 in. in circumference, make in a quarter of a mile? 2. How many 9 oz. packets of tea are there in 40 chests, each containing 243 lbs.? 3. Find the value of the silver at 4s. 5d. per oz. in a bar containing 19 lb. 7 oz. SECTION III. 1. Make out the following bill:- 2. Divide £2944 9s. 7d. into an equal number of shillings, sixpences, fourpences, and threepences. 3. A table, five feet square, is covered with halfpence, placed in rows; find the value of the halfpence, each halfpenny being one inch in diameter, and no one touching more than four others. B SECTION IV. Find by Practice, the value of 1. 5098 articles at £15 14s. 94d. each. Or 2. 17 cwt. 3 qr. 4 lbs. at £5 158. per cwt. Or 3. The assets of a bankrupt on debts amounting to £595 at 78. 24d. in the £. [The sum should be worked so as to be intelligible to a class learning Practice.] SECTION V. 1. What is meant by ratio and proportion? Find the fourth term in the proportion 118, 130, 177, and a mean proportional to 1764, 2304. 2. If 9 cwts. 3 qr. 5 lbs. of cheese can be bought for £31 198. 11d. what will 8 cwt. 2 qr. 8 lb. cost? 3. If 575 men perform a piece of work in 180 days of 10 hours each, how long will it take 115 men working 9 hours a day? SECTION VI. 1. Add together 65, 1, 331, subtract from this sum 534, divide the remainder by 5 of 3. 2. A job can be finished in 25 days by 30 men, at the end of each week (consisting of 6 days) 5 men are withdrawn, how many weeks must the last five men work by themselves to finish the job? 3. Three fields are bought for £240, £270, and £470 respectively; they contain 4 ac. 3 ro., 5 ac. 2 ro., 9 ac, 3 ro. respectively; find the average cost per acre and the highest priced field. SECTION VII. 1. Divide 15 by 30, 1500 by 005, 015 by 003. Prove the second result by vulgar fractions. 2. A.'s share is 09 of B.'s, B.'s is 3-08 of C.'s, C.'s 1.1 of D.'s; C.'s share is £2,750; find A.'s, B.'s and D.'s. 3. 1,802,830 gallons of wine, value £658,405, were imported in 1874, 1,902,415 gallons in 1875, value £671,374; find the increase per cent. in quantity and value to two places of decimals. SECTION VIII. 1. Define interest, principal. Find the simple interest on £1575 10s. for 4 years at 8 per cent? 2. Define discount, present worth. Find the present worth of £1296 due 9 months hence at £10 13s. 4d. per cent. 3. A man invests £1585 10s. in 3 per cents. at 944, brokerage is charged at the rate of per cent., what income does he derive? SECTION IX. 1. A labourer's wages some years ago were 15s. 2d, week and he could save 18. weekly; his wages are per now 188. 6d., but the cost of living has increased 174 per cent.; what can he save now? 2. The rates of a parish amount to 3s. 6d. in the £; is poor rate, highway rate, the rest is school-board What will a man pay for school purposes who is rated at £170 per annum? rate. SECTION X. 1. A cubical space containing 941,192 cubic inches. is exactly filled by 64 cubical boxes; find the length of the side of each box. 2. How many deals 4 feet long and 8 in. wide are required for the floor of a room 16 feet long and 123 feet wide? 3. Find the cost of papering a room 18 feet long, 12 feet wide, 12 feet high, with paper 18 inches wide, at 14d. per yard. |