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Define "principal," "amount,"" interest," (simple and compound), "discounts," stocks,' annuities."

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2. A farmer mixes wheat; 93 qrs. at 38s. 6d., the same quantity at 40s. 6d., and at 428. 9d. per quarter, and 243 qrs. at 458. and the same quantity at 47s. per quarter. What is the average price of the mixture? What is a percentage? an average?

DICTATION AND PENMANSHIP.

Twenty minutes allowed for these exercises.

Candidates are not to paint their letters in the Copy-setting Exercises, but to take care that the copy is clean and without

erasures.

Omissions and erasures in the Dictation Exercise will be counted as mistakes.

The words most not be divided between two lines; there is plenty of room for the passage to be written.

Write in large hand, as a specimen of Penmanship, the words Major Fitzgerald.

Write in small hand, as a specimen of Penmanship, the

sentence-

There is a willow grows aslant a brook,

That shows his hoar leaves in the glassy stream.

DICTATION.

(For the Examiners.)

The passages A, B are to be given alternately if the number of Candidates is large and there is danger of copying. If one is enough, give the first (A).

The passage should be read once distinctly, and then dictated once in portions as marked.

If the room is large, and there is danger of your not being heard at its extremity, you may permit one of the officers of the college to stand half-way down the room, and repeat the words after you exactly as you give them

out.

It is essential that there be no complaint on the part

of the Candidates that they could not hear or understand; you can only prevent this by clearness, accuracy, and audibility.

A.

They paddled onward hour after hour, sheltering themselves as best they could | under the shadow of the southern bank; | while on their right hand | the full sunglare lay upon the enormous wall of figs, and laurels, | which formed the northern forest, | broken by the slender shafts of bamboo tufts, and decked with a thousand gaudy parasites; | bank upon bank of gorgeous bloom | piled upward to the sky, | till where its outline cut the blue | flowers and leaves, too lofty to be distinguished by the eye, formed a broken rainbow of all hues | quivering in the ascending streams of azure mist, | until they seemed to melt | and mingle with the very heavens.

B.

As the sun rose higher and higher, | a great stillness fell upon the forest. The jaguars and the monkeys | had hidden themselves in the darkest depths of the wood, the very butterflies ceased their flitting | over the tree-tops, and slept with outspread wings upon the glossy leaves, | undistinguishable from the flowers around them. Now and then a parrot swung and screamed at them from an overhanging bough; | or a thirsty monkey | slid lazily to the surface of the stream, I dipped up the water in his tiny hand, and started chattering back, as his eyes met those of some foul alligator peering upward through the clear depths below.

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SCHOLARSHIP QUESTIONS,

1883.

MALE CANDIDATES.

ARITHMETIC.

Three hours allowed for this paper.

Candidates may not answer more than THREE of the sections under Question 1, and may answer ELEVEN other questions.

The solution must be given at such length as to be intelligible to the Examiner, otherwise the answer will be considered of no value.

1. (a) Write out the rule for division of decimals when the number of decimal places in the divisor exceeds the number of decimal places in the dividend.

(b) In dividing a number by 315, if I divide the number consecutively by 5, 7, 9, and obtain remainders 3, 2, 1, what is the complete remainder ?

(c) Show that the ratio of two numbers may be expressed by a fraction.

(d) Make a diagram showing how a line or a cube may be divided in such a way as to prove the truth of the proposition = 24

(e) Work a sum in simple interest by the method of proportion, so as to show the truth of the shortened process which is commonly employed.

(f) Explain clearly in what sense 1.3 is represented by 11.

2. A chest containing 350 oranges is bought at Naples for 42 pence, and the cost of carriage is 10 per cent. additional; the oranges are retailed in London at the rate of ten for threepence; find the profit upon 100 oranges.

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3. If of a ship is worth £101 0s. 1d.; what share can be bought for £3,131 2s. 7d. ?

4. Simplify

5+11) 3, of £1 38. 4d.
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5. What decimal of one pound multiplied by 39 is equal to £1 78. P

6. The inhabited house duty at ninepence in the pound on the rent of a house is £3 10s. more than the income tax at sixpence in the pound. Find the annual

rent of the house.

7. What principal will amount to £42998-1696 in eight years at 20 per cent. compound interest per annum ?

8. If the ratio of threepenny to fourpenny pieces in a given sum which consists entirely of those coins were altered from 3: 7 to 7: 3 the sum would be diminished by £20. Find the sum.

9. Find the square root of 89820-09; find also the cube root of 16503.

10. The rainfall for the first four weeks of the year was 108, 95, 315, 172 respectively; and the average was 1.25 higher than the average of the first four weeks of the previous year. Find the average of the two years together.

11. A floor is half as long again as it is broad, and contains 13,824 square feet. shorter side and the cost of yard.

Find the length of the flooring at 4d. per square

12. A man makes 15 per cent. profit by selling 700 tons of coal for £1,006 5s. What would have been his profit per cent. and per ton if he had sold them for £936 5s.?

13. The Three per Cents. are at 101; the Four per Cents. at 121. Find the gain in income obtained by transferring £10,000 stock from the Three per Cents. to the Four per Cents.

14. A sum of £3,070 3s. 3d. has to be divided between A, B, and C, so that A may have of of B's share, B of A's and C's together. Find their respective shares.

15. A tax of 5d. in the pound is paid on a certain sum, and a further tax of 14 per cent. on the remainder. The sum now remaining is £31 2s. 9d. Find the original

sum.

EUCLID, ALGEBRA, AND MENSURATION.

Three hours allowed for this paper.

Candidates who attempt either of the questions in Mensuration must omit Questions 5 and 6. (Marks are given for portions of questions.)

EUCLID.

In the Euclid questions all generally understood abbreviations for words may be used, but no symbols of operations (such as −, +, ×) are admissible.

N.B.-Capital letters, not numbers, must be used in the diagrams.

1. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another.

Show that the lines bisecting the external angles of an equilateral triangle are parallel to the sides.

2. Triangles on equal bases and between the same parallels are equal to one another.

If the perpendiculars drawn from the vertices to the bases of two triangles be equal, the bases being equal and in the same straight line, the triangles are equal.

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3. Draw the figure required for Euclid, Book I., Prop.

If perpendiculars be drawn from the middle point of the hypotenuse of a right-angled triangle to the two sides, the square on the hypotenuse will be equal to four times the sum of the squares on the two perpendiculars.

4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. State this algebraically.

5. The diameter is the greatest straight line in a circle.

Draw a chord equal to the radius of a given circle, and parallel to a given diameter.

6. The opposite angles of a quadrilateral figure inscribed in a circle are together equal to two right angles.

If two sides of a quadrilateral figure inscribed in a circle be parallel, the other sides will be equally inclined to them.

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