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英文中學會考
數學 試題
EDUCATION DEPARTMENT
HONG KONG
ENGLISH SCHOOL CERTIFICATE EXAMINATION, 1962
$7
四 釣星
日一卅月五年六九一曆公年 十五歲民薄牛
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英文中學會考英文作文(二)試題
EDUCATION DEPARTMENT)
HONG KONG,
ENGLISH SCHOOL! CERTIFICATE.EXAMINATION, 1962)
MATHEMATICS I
Time allowed - Two hourg
Attempt No. 12 and NINE others..
1.(a) Using Logarithms, calculate the value of,
(b)
(7.62) + 486.2
16500 x 0.00298
correct to.3 significant figures.
Find correct to 3 eignificant 11gures, the area of the curved surface of a circular cone, given.the, slope_-_12„A „in.. and the height = 9.4.in.
2.
In France, petrol costs. 2 francs 10 centimes per litre) Calculate the cost in Hong Kong dollars of the petrol used on a 800Km. run in France by a car which consumes petrol at the rate of 18 miles to the gallon. Take 8Km = 5 miles: 250 pints,
142 litres; HK$16 83 francs.
3. (a)
A man borrows $2,000 at 5% compound interest and pays back $300, including interest, at the end of each year. How much does he owe after paying his fourth instalment? (Correctl to the nearest dollar).
(b). An estate was bought by a man for $240,000. He sold of the estate at a gain of 20%, and of it at a loss of 15%. At what gain per cent must he sell the remainder, so as to make a profit of 10% on the whole?,
4.
A man bought 280 shares (nominal value $10) at 124. Dividend received by him after a year was 75 cents per share and a bonus. share, on which no dividend was paid, was given for every 5 shares held by him, He then sold all his shares at 124. Calculate the total profit he made on the transaction..
Express the protit as a percentage of the money he in-
vested,
:
5. (a) A student orders three books direct from a publisher in England priced at £1 25. 6d.; 19s. 9d. and £2 is. 9d. Postage charged by the publisher is at the rate of 10d. in the
He buys a money order from a Post Office in Hong Kong for the total amount by paying 80 cents for every shilling, with an extra charge or $2.50. How much does he pay altogether?
(b) Two equal.containers are filled with a mixture of - water and alcohol. One of them contains three times as much alcohol as the other. The mixture in the two containers are then mixed and it is found that the ratio of water to alcohol is 3:2.
Find the ratio of water to alcohol in each of the original containers.
English Composition (II)
Timejallowed-two hours
Candidates must answer both Section A and Section*B:
are reminded of the importance_of_NEATNESS_and_CLEAR. HANDWRITING..
Section A (30 marks)
They
Write a letter to which the letter below" might be a reply. Candidates are, advised.to.spend_not_more, than 35. minutes.om this Section.
(Dear Sir,
(Loxford Press Ltd.,.
21, Old Road,
Hong Kong 27th May.1962.
In reply to the complaint in your letter of May 21st. about the difficulty you have experienced in obtaining copies of our "English Course", Book 4, I wish to tell you that further supplies have now been sent to all booksellers.
The other books you mention are also in stock, and if you have trouble in getting them from your regular supplier, please let us know.
Iou are correct in thinking that we shall publish
In a new book on English, pronunciation early next year. addition, I enclose a pamphlet giving details of the Wấll' Pictures you asked about. I have now put your name on our mailing list, as you requested, and you will get pamphlets and. catalogues about all our new publications.
You mention that you may be buying books in large quantities and ask about discount. We normally give a discount of 20% for orders of 100 or more copies.
Yours faithfully)
C. Page Manager
Section B (70 marks
Write an essay of not less than 400 words on ONE ONLY OI topics.
these
(a) People who make me happy.
(b)
What arguments would you put forward to dissuade a
person from becoming a clerk?
(c)
What things would you show a visitor to Hong Kong ini order to give him an accurate impression of the Colony?
cb k
The diagram represents the cross- section of a hut 60 feet long. The dimensions given are in feet. Find
(a) The area of the four walls; (b) The cost of painting the walls
at $0.85 per sq. yd.. correct to the nearest dollar;
(o The cost of painting the ceiling,
at $0.35 per sq. ft;
(d) The volume of the hutiinicu.ft.
a) Factorize (i) .a2 (2b -1) -4b2(a -(1) -12br+ia,
(b).
(i) kn2: 3m2 + (3ki− 1)mn.)
Solve the equations)
JULY
1ons;
(a).
(e)
Why is it advisable that scientists should appreciate
non-scientific subjects?
In which ways would you criticize and praise the bus
services in_the_Colony?,
3x=2y + 1.
8.(a) Using factors only, calculate the value of the follow>>
ing:
[(137)2 - (6332] = [(7)2+(313)
(b) Find the values of alland' bifl
C = 24.53, correct to 3 significant figures.
,b) A sold a bicycle which costs $250 to B at a gain of x percent. B sold the bicycle rack to A at a loss of_x_percent. thus losing $60. Find the value of x..
11. Simplifyız
(a) (X = X - X = X ) + (
ту - y
I
5x+Tax3-+7bx
+ 3x + Païs exactiv divisible, (by)
{2xml) and .X + l
(e)
Hence find the other factors of (the expression.
(97(a)- (1) Find the value of (14)
12)
Edy
(11) Simplify {xy2(xy*)* tx“y3 1*,
(b) (If a
and by
x and y Hence express
find a and b in terms ofl
(xy + 1) (+) (xy - 1) (-3)
in terms of a and b.
10. (a) From the formula L =
in terms of L and C.
On the same axes and scales, draw the following grapns) *\[ay]= x2-124forivaluesgofax froma−5£to(+57).
(b) y}= 15 and
(c) yf-J x
Find, from your graphs, as accurately as possible:
(1) the square root of 15;"
(ii) the co-ordinates of the points offintersection of
raphs (a) and (c).
find the value of v
Hence find V when L 48.76 and
Write down the quadratic equation that can be solved from the Araphs (a)_and_(c).