104
THE HONGKONG GOVERNMENT GAZETTE, 2ND MARCH, 1872.
CENTRAL SCHOOL EXAMINATION PAPERS FOR 1871.
FIRST CLASS.
1.
x2 + 2 ax + 3 a2 × x
I. ALGEBRA.
-
2 ax + a2.
(60 marks.)
x + 3 (14 − x)
2.
*
www.c
2 x3
3
+ 1
3.
4.
2 æ +1.
Find the value of x.
ww
(212).
have $10; B and C have $12. What have they each?
A and B have $8; A and C
5. Find the Square Root of *
2
'
2 2
8 x y + 24 x y · 32 xy3 + 16 y1.
6. Find the G. C. M. of 4 x* + 3 x 7. Find the values of a and y in-
2 x
-
3 y +
8.
* --
x3-8
x+5
5
x-2
الحرام
= 4.
9.
www
www
3
10 and 4 + 7 x2 .3 X - 15.
2. Find the values of a.
9. A debt can be paid in 52 weeks by paying 1/ the first week, 3/ the second, 5/ the third, and so on.
amount of the debt, and of the last payment?
10.
What is the
A workman was engaged for 28 days at 60 cents a day; but, instead of receiving anything, he had to pay a fine
of 24 cents for every day he was absent. He received $12.60. How many days was he absent ?
II. ARITHMETIC.
(60 marks.)
1. Divide 2
2.
A ship is worth $16,000.
of 34) - by 157.
If I have
77
928′
5
16
of it, and sell of my share, how much have I left, and what is it worth? 3. Divide 1121.4 by 534, and prove by Vulgar Fractions.
4. Reduce 7/10 to the decimal of £2.
5.
Fine the Square Root of 282475249.
6. Find the Cube Root of 69426531.
7. The interest of a certain sum of money, lent for 4 years and 9 months, at $4 per cent a year, is $161.50. What
was the sum lent?
8. Find the difference between the Simple and Compound Interest of £13,333,,6,,8 for 5 years at 5 per cent.
9.
I bought a knife at 1/ and sold it at a profit of 2d. What was the gain per cent?
10.
A can do a piece of work in 20 days of 7 hours, and B can do it in 14 days of 8 hours; how many hours a day
should A and B be engaged together to finish the work in 10 days?
I. METALS:-
III. CHEMISTRY.
(1.) How may the Metals be classified?
(2.) What is the proportion of Metals to Non-metals ?
(3.) What Metals are represented by these symbols:—
II.
ALLOYS:
Fe, Hg, K, Na, Pb, Pd, Pt, Sn?
(1.) What is an Alloy?
(2.) Mention some of the more important ones and their composition.
(3.) What name is given to Alloys which contain Mercury?
III. IRON :-
(1.) What are the properties of Iron ?
(2.) Distinguish Cast Iron, Malleable Iron, and Steel.
(80 marks.)
(3.) What are the processes by which these three states of Iron are produced; and in what does the distinction
between them consist?
IV. COPPER :--
(1.) In what places does Copper occur?
(2.) Mention the principal Copper ores, and the methods by which they are reduced.
(3.) What are the Tests for Copper?
V. LEAD:
(1.) Enumerate and describe the Oxides of Lead.
(2.) Give the more common Salts of Lead, and express their composition in symbols.
(3.) What is the composition of these substances :-
(a) Plumber's Solder, (b) Fine Solder, (c) Type Metal, and (d) Shot?
VI. SILVER :—
(1.) By what process can chemically-pure Silver be obtained?
(2.) How is Silver extracted from Galena?
(3.) What are the properties of Silver?
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