EXAMINATION PAPERS. COMBINED EXAMINATION. ARITHMETIC. SENIOR FIFTH BOOK. 1. During the six years ending 1886, there were in the United States 3903 strikes and 2182 lockouts, and the total number of employees involved in them was 1,478,172; the direct loss of the employers was $34,164,914.00 and of the employees $59,948,882.00.-United States Labor Bureau. Which lost most and by how much? What was the total loss? What was the loss of each employee? What was the average number of employees involved in each strike or lock-out? What was the average loss from each strike or lock-out? 2. In deep sea sounding it was recently found that it took 24'. 10' for the weight at the end of the sounding apparatus to reach bottom in 2096 fathoms of water. Express this depth in miles and decimal of a mile, and give the rate at which the weight sank in miles per hour. 3. If 6 compositors in 16 days of 10 hours each can set in type 720 pages each of 60 lines with 40 letters in a line, in how many days of 7 hours each will 9 compositors set 960 pages each of 45 lines with 50 letters in a line? 4. In the early part of the year the Government offered to take French broze pennies from the public at the rate of 13 for a shilling. The Government would be able to exchange them again at the rate of 252 for a sovereign. would the exchequer gain or lose on every million pennies. so received. What 5. For how much must a four months' note, without interest, be made so that it may yield $1,000.00 when discounted at a bank at 6 per cent. 6. In 5 months at 4 per cent. a man pays a certain interest; had he borrowed $400,000 and paid five per cent. on the whole sum his interest would have been $20 10/12. Find the interest which he paid. 7. What sum must be invested at the beginning of each year for 3 years to pay off a debt of $600.00 due at the end of 5 years, interest reckoned at 5 per cent.? 8. If oranges 2 inches in diameter are worth 75c, a dozen, how much are oranges 24 inches in diameter worth? 9. If 5 men can mow a square meadow in 4 days, find the time 9 men will take to mow a square meadow half as long again as the former. 10. A person invests £3500 in railroad ordinary stock at 871. The railroad pays a dividend at the rate of 2 per cent. for the first half year, and the price of the stock rises to 91. He sells half his stock and buys 6 per cent. preference shares at 117. The next half-yearly dividend is at the rate of 6 per cent. per annum on the ordinary stock. How much did he lose by changing? and what was his whole income for the year? 1. If a 1, b = ALGEBRA. SENIOR FIFTH BOOK. 2, c = 3, d 4, e 2, find the numerical value of (a2b+3c)2- (3c2ba)2 + (ce) (c—b). 2. Simplify 3a [2a2a4 (32a)+5a - — 4] 9. John, James and Henry have each the same amount of pocket money; John would spend his in 76 days, James his in 95 days and Henry spends 12c. per day more than James; their united spendings for 20 days would amount to the entire pocket money each possessed; find this amount. SENIOR FIFTH BOOK. GEOMETRY. 1. What definition does a carpenter practically apply when he tries the flatness of a board by a straight edge ? 2. The straight lines which join the extremities of two equal and parallel straight lines are themselves also equal and parallel. (1.33). 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. 4. Construct a triangle whose angles are as 1:2:9. (11.9). SENIOR FIFTH BOOK. ENGLISH GRAMMAR AND COMPOSITION. 1. Define inflexion. Name the different kinds. Discuss the in crease or loss of them in English, and the results therefrom to the language. 2. Explain the formation of drake, gander, lass, children, kine. 3. Account for the ss in less, the th in farther and other, the I in could and would. 4. What is the origin of -ed in the past tense of weak verbs? What were the old forms of the suffix -ing in the verbal noun and in the present participle? 5. Mention each possible syntax for the infinitive mood Give an example of each. 6. Define co-ordinate, principal and subordinate clauses. What is meant by a phrase in analysis? 7. Analyse : I know where a garden grows Fairer than aught in the world beside, All made up of the lily and rose That blow by night, when the season is good; 8. Parse the italicised words in the foregoing passage. 9. Paraphrase:— My heart leaps up when I behold A rainbow in the sky; So was it when my life began ; So is it now I am a man ; So be it when I shall grow old, Or let me die! The child is father of the man, And I would wish my days to be Bound each to each by natural piety. 10. Write a letter of application for some vacant situation, stating imaginary qualifications, etc., of applicant. SENIOR FIFTH BOOK. SPELLING AND DERIVATION. 1. Write, from dictation, (The High School Reader), page 289. beginning The bold," to the end of the paragraph. |