PROPOSED TO STUDENTS IN TRAINING COLLEGES, AND TEACHERS IN ELEMENTARY SCHOOLS. CHRISTMAS, 1876. A Notice to the following effect is issued to Candidates as to Copying and Clandestine Assistance. CANDIDATES WHO ARE DETECTED (a.) Introducing into the Examination Room, or (c.) Answering, under any circumstances what- (e.) Conniving at any misconduct of this kind; will be dismissed from the Examination, and will be suspended, for a period not exceeding three years, from all recognition by the Committee of Council. The plea of accident, or forgetfulness, will not be received. Candidates must leave the blotting paper, and paper for making rough drafts, which are supplied by the Inspector, on their desks at the end of each sitting, and must bring none other into the room. The use of blotting paper for rough drafts, or for any writing whatever, is strictly forbidden. Whatever questions Candidates may have to usk, or remarks to make, during the Examination, must be addressed to the Inspector only. NOTE.-Except where different directions are printed, the time allowed for each paper in the following series was three hours, and Candidates were restricted to one question in each section. The questions marked with an asterisk (*) in certain of the first year's papers were specially noted for Acting Teachers. MALE CANDIDATES-FIRST YEAR. ARITHMETIC.† Two hours and a HALF allowed for this Paper. 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 last direction was repeated in all papers on the same subject for other classes of Candidates.] SECTION I. *1. Multiply fourteen million two hundred and forty-five thousand nine hundred and twenty, by four thousand one hundred and ninety-nine, and divide the product by four thousand eight hundred and forty-five. *2. Find the least multiple of thirteen that can be expressed by nines only, and subtract this multiple from ten million ten thousand and one. *3. A man buys 497 sacks of potatoes for £339. 18. 11 d., and sells 248 sacks for 178. 94d. per sack, the remainder for 18s. 24d. per sack; find the total gain. SECTION II. *1. Make out the following bill, allowing five per cent. discount:: 95 yards of calico, at 103d. per yard; 70 score of handkerchiefs, at eight for 3s. 6d. *2. A man engages to ride 500 miles in sixty hours; he rides every 2 miles at an average rate of 114 min. and stops every forty miles for an hour's rest, how much time has he to spare? 3. Find the expenses of an excursion, which includes 5782 miles of railway at d. per mile, 517 miles of carriage at 101d. per mile, 57 days of hotel keep at 148. 3d. per day, allowing 5 guineas for extras. †See infrá, p. 37. SECTION III. 1. What illustrations would you place on the black board to shew the truth of the following expressions (a) & of (b) 2 + 3 15 (e) The number of yards of carpet, 18 inches wide, required for a room 12 ft. long and 9 feet broad, is 24. (d) 3·5 × ·2 = ·7. (Two such illustrations will be considered equivalent to a complete answer.) SECTION IV. 1. Express 2304, 1728, 1296 as powers of prime numbers and hence find their G. C. M. and L. C. M. 1 + 31 41 and *2. Simplify the expression find the number of lbs. in 3 of 5 tons + 4 of 62 cwt.+ 1 of 513 qrs. 3. 4ths of the agricultural land of a district is arable, ths is pasture, ths of remainder wood lands, the remaining 1800 acres are common; find the number of acres in the whole and the relative size of each kind of land. SECTION V. 1. Divide 37-2812 by 00407 and prove the result by vulgar fractions. Also, find the value of 3.75 of 5s. 6d. + 5·05 of £3. 18. 8d. + 5·07 of 78. 6d. + 3·135 of £2. 18. 3d. *2. Find the square root of 8658-3025 and the cube root of 753.571. 3. In 1861 three towns had populations of 17341, 15540, and 18760 respectively. In 1871 it was found that the population of the first had decreased 17 per cent., that of the second had increased 19 per cent., while the population of the three had increased by 5000; find the increase or decrease per cent. in the population of the third town. SECTION VI. *1. Find the value of 581 articles at £3. 11s. 9d. each, and of 29 oz. 5 dwt. 16 grs. of gold, at £3. 178. 9d. per oz. 2. A bankrupt has £975 worth of goods in stock, his creditors would have received 148. 9d. in the pound if the goods had been sold for cost price, but of the goods are sold at 17.75 per cent. below cost price, and the remainder at 21.75 per cent. below cost price; for what were the goods sold, and what dividend is paid? 3. A piece of work can be done by 40 men working 10 hours a day for 17 days; how long will 17 men, 17 women, and 17 children over ten years of age, take to do it, each child working four hours a day and its working power in a given time being equal to one-third of a man's, each woman working 6 hours and her power being equal to two-thirds of a man's, each man working 8 hours a day. SECTION VII. 1. Find the present value of £1565. 2s. 33 d., due 4 years hence, at 53 per cent. simple interest. 2. Find the amount of £5750. for 6 years at 5 per cent, allowing £175. for annual expenditure. 3. The French 5 per cents. being at 1053 and the English 3 per cents. at 961; find the loss of income caused by transferring £5000 French stock into English stock, and the value of the stock in English money. SECTION VIII. 1. £12540. has to be divided between A, B, and C, so that A shall receive three sevenths of B's and C's shares, B shall receive two ninths of A's and C's; find the share of each. 2. Three boys run a race of 21 miles; A starts four minutes before B, and runs at the rate of 5 miles per hour; B starts two minutes before C, and runs at the rate of 6 miles per hour; C runs at the rate of 62 miles per hour. Find which will win the race, and the intervals between the arrival of each boy at the post. 3. Two clocks, one of which gains 3 min. 25 sec. daily, and the other loses 4 min. 15 sec. daily, at 12 o'clock on Monday are respectively 13 min. behind and 14 min. before the true time; what time will be told by the first clock, and on what day, when the second tells the true time? GRAMMAR AND COMPOSITION. COMPOSITION. Every Candidate must perform the exercise in Composition. Candidates are recommended not to take more than half an hour for this exercise. *1. Describe in simple prose the country scenes and sounds that are most attractive to the pensive man. Or 2. Describe Sir Roger de Coverley's character as drawn in the Spectator. Or 3. Give some account of Milton's prose works. *Or 4. Give some account of the introduction of printing into England and of its earlier processes. *Or 5. Classify the contents of the newspaper you are in the habit of reading. GRAMMAR. Every candidate must do the parsing. Part of a question well answered will obtain marks. SECTION I. *1. To which parts of speech are the terms abstract, relative and neuter applied? Show clearly the full primary meaning of the terms, and deduce their more limited grammatical uses. *2. Give rules respecting the concords of verbs with their subjects, when subjects differing in number or person or both are connected by "and," -also when they are connected by "or" and "nor." |