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(&.) He that can apprehend and consider vice with all her baits and seeming pleasures, and yet abstain, and yet distinguish, and yet prefer that which is truly better, he is the true warfaring Christian. I cannot praise a fugitive and cloistered virtue, unexercised and unbreathed, that never sallies out and sees her adversary, but slinks out of the race where that immortal garland is to be run for, not without dust and heat. (c.) But the iniquity of oblivion blindly scattereth her poppy, and deals with the memory of men without distinction to merit of perpetuity. Who can but pity the founder of the pyramids ? Herostratus lives that burnt the temple of Diana :he is almost lost that built it. Time hath spared the epitaph of Adrian's horse, confounded that of himself. In vain we compute our felicities by the advantage of our good names, since bad have equal durations, and Thersites is like to live as long as Agamemnon. (d.) Fame is the spur that the clear spirit doth raise (That last infirmity of noble mind) To scorn delights and live laborious days; But the fair guerdon when we hope to find, And think to burst out into sudden blaze, Comes the blind Fury with the abhorred shears, And slits the thin-spun life, (c.) Yet this inconstancy is such As you too shall adore ; I could not love thee, dear, so much, Loved I not honour more.

Arithmetic. — For Class D. Time allowed: 3 hours. 1. Calculate correct to five places of decimals the value of—■ Ix 3 Ix3xs 1_ Ix3_xsx7 _1, » •ST + 2x4 X * +.2x4x6 X 4 2 + 2x4~xt>xB" 4» + 2. The parallel of latitude which passes through a certain place may be taken to be 17,675 miles long: calculate the number of inches per second through which the place travels by reason of the diurnal motion of the earth. 3. Given a vulgar fraction to be reduced to a decimal, how can you tell, before trial, whether it will terminate, whether it will be a pure recurring decimal, or whether it will be a mixed recurrer ? If the decimal terminate, how do you know the number of digits there will be in the decimal ? Give examples to illustrate your answer. 4. In going a mile the larger wheel of a bicycle makes 915 revolutions fewer than the smaller wheel, whose diameter is 15in.: find the diameter of the larger wheel, having given that the length of the circumference of a circle is found by multiplying the diameter by 3-1416. 5. A bought a piece of land, and sold it to B at an advance of 20 per cent, on the purchasemoney ; B sold it to 0, making an advance of 30 per cent, on his bargain : if C paid £1,950 for the land, what was the cost price to A ? 6. A person by selling an article which cost £14 per cwt. at 2s. 9Jd. per pound makes 5 per cent, more profit than if he had sold the whole for £55 15s. 3fd.: what was the amount sold? 7. If the discount on a bill of £824 ss. Bd. due 2J years hence be £93 155., find the rate per cent, simple interest. 8. At what times between 2 and 3 o'clock are the hands of a watch at right angles? 9. A bookseller buys French books at their published price, and in selling them to a customer charges a shilling for every franc in their published price : if 25-17 francs are equivalent to a pound of English money, what gain per cent, does the bookseller make ? 10. If we were to assume that there is no change in the density of the atmosphere as we ascend in it, the height of the mercurial barometer would be to the height of the atmosphere in the inverse ratio of the densities of mercury and air. It being observed that the barometer is 30in. high, find the height to which the atmosphere would extend on the assumption made, it being given that mercury is 13-J- times, and atmospheric air -00125 times, as dense as water. 11. A rectangular field of 4J acres has two adjacent sides in the ratio of sto 9. Find the number of yards in each side, and the cost of surrounding the field with a wire fence at 2s. 3id. a yard. 12. Two trains are travelling on parallel lines of rails; one train is 60 yards long, and is travelling at the rate of thirty miles an hour; the other is 50 yards long, and travels at the rate of twenty miles an hour. Find how many seconds will be occupied in their passing one another when they are travelling (a) in opposite directions, (b) in the same direction. 13. Three men are employed on a work, and when they work respectively 8, 9, and 10 hours a day they receive the same daily wage ; after working three days at this rate they each work an hour a day more, and the job is finished in three days more. If the total sum paid in wages be £9 10s. Id., how much should each receive ?

Arithmetic. — For Glass E, and for Junior Civil Service. Time allowed: 3 hours. [N.B. —The working must be shown. Simplicity and directness of method, clearness of explanation, and neatness of work, will be taken into account.] 1. What number multiplied by 87542 will give 28 times the difference between 119845689 and 43002572 ? 2. Find, by Practice, the value of 5 tons 19cwt. 2qr. at £7 18s. 9d. per ton.

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