MUSIC. The Tonic Sol-fa questions are printed in italic. Candidates must keep ENTIRELY to one set of questions or the other. They are not permitted to answer more than four questions. 1. Write underneath each of the following notes the rest corresponding with it. 1. What are the time names? and how are rest silences indicated? 2. Write the following, at the same pitch, on the treble stave: 2. What is the difference between G-two and two-G? Which Doh ought to have the octave mark? 3. Write on the following stave a measure or bar in the kind of time indicated by each time signature. 3. Give examples of the accents in (1) two-pulse measure, (2) three-pulse measure, each in the primary and secondary forms. 4. Between what notes of the major scale is the tritone found? 4. Between what notes of the major scale is the tritone found? 5. Give examples (a) of a minor second, (b) a major third, and (c) a perfect fourth. (a) (b) 。 (c) 5. Give examples (a) of a minor second, (b) a major third, and (c) a perfect fourth. 6. What notes in the scale of B flat correspond with or occupy the same positions as E and F in in the scale of CP 6. What modulation usually takes place in two sharp removes. 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 ob. tained by an intelligible method, will be considered of no value [This direction was repeated in the Arithmetical Paper for Female Candidates (p. 25), and in the Paper on Algebra and Mensuration (p. 26).] SECTION I. 1. Define numeration and notation. (a) Five hundred thousand six hundred and seventeen. (b) Nine thousand and eight. Find the product (c) and the difference (d) of these numbers. Write the sum of (a), (b), (c), and (d) in words. SECTION II. 1. What does a person receive per day when his annual income is 300 guineas ? 2. Find the difference between 19008 farthings and 4301 half-crowns. 3. Make out a bill for : 89 pairs of shoes at 12s. 9d. per pair ; 96 boots at 10 guineas for a dozen pairs; SECTION III. 1. If a wheel makes 1826 revolutions in 2 miles 4961 feet, what is its circumference ? 2. A loaded truck weighs 6 tons 4 cwt. 20 lbs., the truck itself weighing 1 tons: how many packages, each weighing 6 lbs., does the truck contain ? 3. 2 tons 14 cwt. of biscuit had to serve a ship's company of 96 men for a fortnight: what was each man's share per day? SECTION IV. 1. Find the price of 5805 things at £5 18s. 101d. each. 2. Make out the cost of mowing a meadow containing 29 ac. 2 r. 35 pls. at 3s. 6d. per acre. 3. What must be paid for paving a yard containing 2344 sq. ft. 72 in. at 5s. 6d. per square yard? SECTION V. 1. How many yards of cloth at 10s. 6d. per yard must be given in exchange for 180 yds. 2 qrs. of calico at 54d. per yard? 2. Two neighbours pay in the form of poor rate £1 17s. 6d. and £2 18. 3d. respectively; the former amount is paid on a house rated at £25: what is the rateable value of the other house? 3. If £150 will support a family of 8 persons for 10 months, for how many months would £120 support a family of 5 persons ? SECTION VI. 1. Find the amount of £435 10s. in 51 years at 3 per cent. per annum simple interest. 2. The sums invested in a business by two partners are £5500 and £3000; the profit for nine months is £1275: what will be the share of each, and what is the rate of gain per cent. per annum ? 3. An ironmonger bought nails at 18s. 6d. per cwt. and sold them at 3d. per lb. : what did he gain or lose per cent. ? SECTION VII. 1. A man who has lost of 10 of his capital has £3500 remaining: what sum did he lose ? 2. A pint contains 343 cubic inches. How many pints are there in a cubic foot of water? How many in a cubic yard? (1 of 21). SECTION VIII. 1. A clerk copied 62.5 instead of '625 of £100: what was the amount of his error? 2. A grocer bought butter at 1s. 1d. per lb., and sold it at 1s. 4 d. per lb.: express his profit as a decimal of the cost price. 3. Find, by decimals, the rent of 89 acres 1 rood 30 perches of land, at £2 17s. 6d. per acre. SECTION IX. 1. The diagonal of a square field is 1000 links. Find its area in acres. 2. The lb. avoirdupois being equal to 4356 kilograms, express 15 tons 12 cwt. 2 qrs. in kilograms. 3. Express 27 decametres in inches, a metre being 1.094 yd. SECTION X. 1. At what stage of a child's progress would you teach Long Division, and why? 2. Write full notes of a first lesson on Proportion or on Decimals. 3. Describe the successive steps by which you would proceed to teach Mental Arithmetic to a class of children. ARITHMETIC. Female Candidates. SECTION I. 1. Add together three million three thousand five hundred and seventy-one; thirty-nine thousand and eighteen; eight hundred thousand three hundred and ninety one; five thousand and sixty; four hundred and ninety-five thousand and three; from the sum take away one million five hundred and eighty-five thousand four hundred and seventy; and divide the remainder by thirty-nine. SECTION II. Divide 1992375 by 9625, by long division and by factors. 2. Multiply 58212 by 481. SECTION III. 1. Divide 18 tons 3 cwt. 7 lbs. 5 oz. by 48. 2. How many farthings are there in £784 15s. 3 d.? SECTION IV. 1. Find the value of 10912 articles at 98. 4 d. each. 2. Find the value of 17 yards 3 nails of gold lace, at £3 4s. per yard. SECTION V. 1. Find the simple interest on £2187 108. for 219 days at 44 per cent. per annum. 2. A person left £100 per annum for ever to a school in his parish. What sum must have been invested to purchase this annuity in 3 per cents., the stock being at 93 ? SECTION VI. 1. If 17 yards of blue serge 54 inches wide cost £3 18s. 9d., what ought to be the cost of 30 yards, of the same quality, but only 40 inches wide? 2. If 1 cwt. of cheese cost £3 10s., what will be the cost of 2 qrs. 15 lbs. ? SECTION VII. 1. Reduce to a simple form 2. Divide 3 cwt. 3 qrs. 7 lbs. by 34. SECTION VIII. 1. Find the product of 7-407, 1.375, and 2.45. 2. Find the value of £18 28. 8d. × 4.6875. 3. From 2000 subtract 852 2534, and divide the remainder by 16:38, giving the reason for the position of the decimal point in the answer. SECTION IX. 1. From £67054 68. 74d. subtract £7983 128. 10 d., and explain as you would to a class each step of the process. 2. Explain the process for finding the greatest common measure of two quantities, and find the G. C. M. of 185955 and 76153. 3. Explain the fact that when both numerator and denominator of a fraction are multiplied by the same number, an equivalent fraction is produced; and show, 2 × 3 by way of illustration, that is equivalent to f. 5 × 3 EUCLID, ALGEBRA, AND MENSURATION. EUCLID. Capital letters, not numbers, must be used in the diagrams. Not more than ten questions to be answered. The only signs allowed are + and =. The square on AB may be written " sq. on AB." and the rectangle contained by AB and CD, "rect. AB. CD." 1. If two angles of a triangle be equal to one another, |