663265-1887-Central-School-Examination-Papers — Page 3

a

THE HONGKONG GOVERNMENT GAZETTE, 22ND JANUARY, 1887.

9. Paraphrase:

Good friend thou hast not cause to say so yet.

But thou shalt have; and creep time ne'er so slow.

Yet it shall come for me to do thee good.

I had a thing to say--but let it go;

The sun is in the heaven and the proud day, Attended with the pleasures of the world, Is all too wanton and too full of gauds, To give me audience.

CLASS I-ALGEBRA.

а

+

b

-b

a+b

1. Find the value of

a

b

Wednesday, 9-12.

61

a b a

2. Show clearly which of the following fractions are Proper and which Improper.

x-m+a

4

X m a

x2 + ax + a2 (x+a)

1

(x − y)' (x+y);

x+y

3. What fraction added to the sum of

and

a (a−b) (a–c)

1

1

=

c (c-a) (c-b) abc

4. What ratio must 'x' have to 'y' for the following expressions to form an equation

bxy (a+b) (y-x)

5. (a.) An Officer formed his men into a square 4

have been 10 men more in the front rank.

X

5. (b.) Solve

а

2b -2+증

+

a

6. (a.) If I sell g of my goods at

p.e. my total loss is 2 p.c. would be increased 1 p.c.

a

(a - b)2

ab

ax (x−y)+xy (a−b)

b (x-y)

deep, if the formation had been 3 deep there would

How many men had he?

certain rate of loss p.c., and the remainder at certain rate of gain But, if I were to exchange the rates of gain and loss my total loss Find the rates.

x2-x-12

6. (b.) Reduce to their lowest terms 2 + 5x + 6 7. (a.) Solve

3

a3 - b3 +2ab+2ab2 + b3 ;

x-x2+2x2-x+1 2x2-2x2+x2+x−1

3 6

(1)

X y

5

5 5

1

2x 3y 6

(2) x −5x=9+ x - 5x11

7. (b.) A farmer buys oxen and sheep, 55 heads in all for £490. How many oxen were there,

seeing each ox cost £13.13.4, and a sheep £3.4.0,

CLASS I-COMPOSITION.

Wednesday, 5th 2-4.30.

What advantages to the Scholars, and to the Community at large, may be expected to be derived from the establishment of the Government Scholarship?

CLASS I-EUCLID.-(BOOKS I. II.)

Thursday 9-12.

1. Any two sides of a triangle are greater than the third.

2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle contained by the sides of the one which has the greater base shall be greater than the angle contained by the sides equal to

them of the other.

Prove that if a scalene triangle be divided into two equal parts, these parts cannot coincide.