Arithmetic. FEMALE CANDIDATES. ARITHMETIC. THREE HOURS allowed for this paper. 117 Candidates are not permitted to answer more than one question in each section. 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. SECTION I. 1. Add together eight hundred and four thousands nine hundred and fifty-nine; one hundred and eighty-six thousands four hundred and two; seven hundred thousands and seventy-seven; nine millions four hundred and fifty thousands and sixty-eight; twenty millions forty-seven thousands three hundred; from the sum subtract six hundred and seventy thousands and seventy-six; and divide the remainder by eighty-seven. SECTION II. 1. Divide 14261760 by 4608, by long division and by factors. 2. Multiply 98765 by 840; and prove the truth of the result by division. SECTION III. 1. A chest of tea, weighing 91 lbs., was divided between A, B, and C, 4 receiving 40 lbs., B 30 lbs., and C the remainder. The price of tea was 2s. per lb., and the carriage of the chest was 5s. 84d. How much ought each to pay for his share? 2. In I ton 7 cwt. 14 lbs. 3 oz. 1 dram, how many drams? SECTION IV. 1. Find the value of 15495 francs in English money, at the rate of 25 francs for £1. 2. Find the value of 7 lbs. 4 oz. 8 dwts. 20 grs. of silver at 78. 6d. per ounce. SECTION V. 1. Interest is paid half-yearly on a loan of £500 at the rate of 4 per cent. per annum. Income tax, at the rate of 3d. in the £1, is deducted from each payment. What is the amount of the half-yearly payment ? 2. A person speculated with £1000 and gained 10 per cent.; speculated again with the amount, and lost 10 per cent.; again speculated, and gained 10 per cent.; and again, and lost 10 per cent. How much was he then worth? SECTION VI. 1. The single fare for a given distance is 7s. 1d., the return fare is 9s. 11d. Express in its simplest form the ratio between the single and return fares. 2. The diameters of two circular pieces of silver are as 2 to 3, and their thickness as 9 to 10. Assuming the areas of circles to be as the squares of their diameters, find the value of the larger piece, if the smaller be worth one shilling. 3. If 10-2 metres of ribbon cost 8.5 francs, how many metres may be bought for 21.15 francs ? SECTION VII. 1. Add together 27-316, 11-877058, 17.271, and 43.53. 2. Multiply 81.25 by 21.76, divide the result by 2.125, and give the reason for the decimal place in each result. SECTION VIII. 1. Simplify 71 × 8 × 2÷114. 2. Multiply £17 14s. 6d. by 14 of 5, and divide the result by 1 of 53. SECTION IX. 1. Divide 1684030 by 29, and explain each step of the process. 2. A woman bought sugar, tea, and coffee. She paid 28. for the sugar and tea together; 1s. 9d. for the sugar and coffee together; and 2s. 3d. for the tea and coffee together. What was the cost of each? 3. Write out notes of a lesson on simple interest, giving an example, worked out, in illustration. DOMESTIC ECONOMY. Candidates are not permitted to answer more than one question in each section. SECTION I. (Household Work.) 1. What are the special qualifications and duties of a house and parlour maid? Describe the general requisites for good waiting at table. 2. Write down rules of practical advice to a young girl entering on her duties as nursemaid. SECTION II. (Investment.) 1. Name any safe investments for a school teacher; state clearly the benefit of Domestic Economy. 119 such investment and the percentage thus obtained, and give your reason for thinking these investments safe. 2. The salary of a young schoolmistress at the present date is greater than the expenditure naturally demanded of her on what principle, and to what extent may she fairly be expected to lay by for her support in later life? SECTION III. (Cooking.) 1. Describe various methods by which eggs may be used in cooking, and explain their value and nourishment as food. 2. Show clearly the difference between roasting, boiling, broiling, frying, and baking meat; explain which plan is the most economical, and which renders the food most easy of digestion. SECTION IV. (Sickness.) 1. Describe the qualifications and duties of a sick nurse; and write down instructions to be observed in a sick room with regard to (a) noise, (b) hours of food, (c) cleanliness, (d) light, (e) temperature of room. 2. Describe the common symptoms in any or all of the following diseases: -whooping cough, measles, roserash, ring-worm, chicken-pox: and give recipes for making arrow-root, barley-water, lemonade, beef tea, barley gruel. SECTION V. (Clothing and Washing.) 1. Give recipes for the following To remove fruit stains, ink, and iron-mould from linen. To wash flannel so that it may retain its colour and not shrink. To clean woollen cloth. 2. "Calico, flannel, cotton print, and coburgs, are the principal materials of dress which are useful for cottage wear, and there is a material called derry, which is cheap and strong, and therefore suitable for working dresses." Describe these different materials, and show their suitableness for the objects stated, and give the width and the price per yard of each. SCHOLARSHIP QUESTIONS, 1877. The time allowed for each paper is three hours, unless otherwise specified. Candidates are not permitted to answer more than one question in each section. The solution must be given at such length as to be intelligible to the Examiner, otherwise the answer will be considered of no value. ARITHMETIC. SECTION I. Express in figures, thirty billion, ninetyfive million, seventy thousand and five. Express the year 1988 A.D., in Roman numerals. How many times can 75 be subtracted from 6075 so as to leave a remainder equal to itself. Divide the continued product of 17, 18, 19, 23, 301, 113, by the difference of 259867, and 126145. (These form one question.) SECTION II. 1. In a bag are 90 shillings, 100 sixpences, and 120 fourpenny pieces; find the least number of threepenny pieces that must be added, so that the whole may be distributed in sums of eighteen pence, no such sum being made up of any one coin exclusively. 2. An orphan asylum contains 120 children, each of whom consumes 40 oz. of meat per week: find the weekly saving effected by using American beef at 6d. per lb., allowing also 2s. 4d. per cwt. for carriage, in place of English beef at 68. 4d. per stone of 8 lbs. 3. The length of the solar year being 365 days, 5 hrs. 48 min. 50 sec., and the Chinese civil year consisting of 12 months of 29 and 30 days alternately, how many months of 30 days must be added in the course of 60 years that the Chinese civil year and the solar year may agree most nearly? SECTION III. 1. Make out the duty payable on the following goods: 7,000 lbs. of coffee at 14s. per cwt. 6252 packs of cards at 3s. 9d. per doz. packs. 90 bushels of malt at £1 4s. per qr. SECTION IV. Find, by Practice, the value of— 1. 15 cub. yds. 21 cub. ft. 648 cub. in. at £4 4s. per cub. yd. Or 2. 75 miles 5 fur. 9 chains 23 yds. at £56 per mile. SECTION V. 1. A tradesman sold some goods at 15 per cent. above the price at which he bought them: the two prices together amounted to £733 3s.: find the price at which the goods were bought. 2. A block of granite 16 ft. long, 8 ft. broad, 4 ft. deep, stands on one of its broadest faces; the other faces are polished at a cost of £16: find the cost of polishing similarly another block 24 ft. long, 10 ft. broad, 5 ft. deep, similarly placed. 3. The earth's orbit is 446 millions of miles, and is traversed in 365 days; the distance of the earth from the sun may be reckoned as 71 millions of miles, and light travels at the rate of 186,000 miles per second: how far will the earth travel on its orbit, while a ray of light is passing from the sun to the earth? 7- 8 12 15 ÷ 13/ = one 2. Reduce 2 cwt. to the fraction of 4 tons 2 cwt. 14 lbs.; and 19 guineas to the fraction of £14 9s. 3d. Show that ad. and every multiple of it will give a terminating decimal of one pound. 3. If of an estate be worth 200 guineas, and the value of the estate be increased 075 per cent. by improvements, find the value of 28 of the improved estate. SECTION VII. 1. Express as decimals 180, 78, 3, 32. Show that +++ etc. ad infinitum = 18. 10 13 1 11 2. Find the value of (+) of four guineas + (·09 ̊ — ·01) of £2 18. 3d. + (5·05·005) of 5s. 3. The rainfall of London in the months of April, |