1788 THE HONGKONG GOVERNMENT GAZETTE, STH DECEMBER, 1905.

No. 15.

BOOK-KEEPING.

CLASS I.

1. Explain the uses of (a.) a Waste Book, (b.) a Caslı Book, (c.) a

Ledger.

2. What is the meaning of a Bill of Exchange on London at 4 months a 3. What is the good of crossing a cheque ?

66

4. What do the following expressions mean "bad debts”, to honour a bill", "Pass Book ", endorse a cheque"?

66

5. First journalise and then post into ledger the following transac- tions:-

July 21st, 1905.-Brought for cash 3 tons copra @ $7.

July 22nd, 1905.--Bought of Wing Kee 80 chests tea @ $61. July 22nd, 1905.-Sold 3 chests tea for cash @ $69.

July 25th, 1905.-Sold 10 chests tea to Man On @ $69.

July 26th, 1905.--Bought 80 tons Coal from Messrs. Blackheap

@ $12.

No. 16.

ALGEBRA.

CLASS I A. and B.

1. Simplify the following expression and regroup the terms according to the process of x:-

x3 — Abx*— } [12«x−4 {3bx+ − 9 (cx −bx3) — §ox3 { ].

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2. The length of a room exceeds its breadth by 8 feet; if each had been increased by 4 feet the area would have been increased by 128 square feet; find the original dimensions of the room.

3. Find the cube root of:

24x1y2 + 96x*y* 6x3y + x* · 96xy? +64y' — 56x3y3.

4. Find the lowest common multiple of :-

a2 — b2, a3 — b3, q3. a2 b.

ab2 - 2b3.

5. Simplify

1 + x

4x

8

1

X

+

-x

1 + x2

1 +

1 + x2

4x2

I

+

1 + x+

1 x

6. If 4*+ 12x3y + Pæ2y2 + 6xy3 + y2 is a perfect square, find P. 7. In the centre of a square garden is a square lawn, outside this is a gravel walk 4 feet wide and then a flower border 6 feet wide, if the flower border and lawn together contain 721 square feet, find the area of the lawn.

Note.-I B, need not work the last two sums.

No. 17.

1. Add together:

ALGEBRA.

CLASS II.

6x3 + 4x2

x3

x2

X

A

x +

and æa

+

+

A

2

and divide the

6

2

3x + J.

sum by 2x2

2. Solve the following equation :--

7 (3x −6) + 5 (x − 3) = 11

4 (18 - x).

3. Find all the times between 4 and 5 o'clock at which the hands of a

watch are

(1) At right angles;

(2) Opposite;

(3) Together.

4. Find the value of :-

(x + y)2 − (x − y)2; when a = a2 + ab + b2

5. What is factoring?

and y =a2

Factor the following expressions :—

x3 03 x2 + a

2

(22 + d ) * +10 (2 + i ) + 24,

ub + b2

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