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獎此劑 梅 學成人 檢學 全凡按好粥金獎之兆驗學凡容前 落察,學者學個大。位申
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掙得茗景洪蜓 金及政府獎學金。
【申精囊格如阿梅合展的黑教育的原阻取,抑於本平七月廿四
, 本年度助學額約四十五名,但調約見者,將不超倘十名
三期星
日七月五年四六九一磨公年三十五國民基
額學助及學獎之立設大港在府港
請申受接始開
五十四約額學助
十二約額學獎 七於取索署向可格請申 名 囘送為代長校校原由前日四廿月
中學時之同话之入境乎貼金表,知將,哭本箱
大從不躞攻學能
。現上事限本在仍 助設政 ༣་ 請金书者 留有津 外除而申之 及格科市由名將 出年約 選舉士
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英文中學會考初級數學試題
LOWER MATHEMATICS
B. (a) Given that A is an acute angle, aho sin a
without using cacus,
(b) In the figure, 18 the centre OF
the circle, and PQ is a chord. ON is perpendicular to PQ. Calculate the length of PQ. H the radius of the circle is 4 cm and PO0 - 800
+
find the value of cot A
sec A
Ibe allowed - Two hours and thirty minutes.
Answer ALL quesnona from Section 5 and any suur questions, from, Section B. Mathematical Tables may be used wherever required.
SECTION_A.
18 marks for each question).
SECTION B
Answer FOUR questione only from this section
19 marke for each question)
en me ..F, and the 1.C.M. of the following, leaving your answere In prime factorst
2. Tal
* x 5" x 7" z
*
x T x (l*
Express as a simple rangi
1 picul 20 catties
spicule.
C)
If the price or sugar 15 rscents per pound, na the cast of 5 cwt. of sugar in dollars.
10.
(a)
2.
2)
A box nas a square base and height in o cm. It the volume of the box is 1, 176 cu. cm.. find the length of a side of the base,
>>
A sebaer seus a motor cargo vou at a pron5.01 €37. ring' me cost of the motor car and noted his profit as a percentage of the selling price
Simplify-
".
(A)
sme simple interest on SL, NUO for res years is $375. Find the rate per cent per sanu US.
ine area of the curved mugrace of a circular cylinder, of baight 2 C is 55 mq. cm. Find the volume of the celicular. cyllodes
Take 22.
Solve the equation 28x+17- $6 • 0.
[ IZ 10. of merons and 24 (b.of plume core $72, and 16 ab. of melons
and 6 lb. of plume cost $60, find the pries per pound of each kind of fruit,
ABCD is a parzuerogram,
DC is produced to N so
that DC - LCN. Prove
that
11 AM
{i} CM
MN,
MB
23
Wind by tables the value ·
262
273.6 x 15.286
3. (a)
Factoriza
(1)
5%. 3D.
(15)
bb.
(D) · SOLVe the equation
ANING OF STA TWO EQual chords of the circle with centre O. If AD and CD are produced to meet at P. prove that PO bisectaĽ APU.
PËM - KORO Kneipresage warked & on the attached sheet'ant write
a precis în not more than 120 words in the space below. Put down the axeat words used at the and of the preais. 13 mrks)
5. mu passage msreco o de ino artached sneak and answer the tonowiES questions which are based on it. Usa one sentence for each answer.
1) Why did the ful seam to zinwr
1217 Why was the farrow in theftelo so noticeable 7.
(3) E What Gibes the writer way to Now that the wake of the shin is especially
Tonspicuous on a cair day?
(4) WWDET Ls meant by "the furrow of a ship"7
103
EXPLORE M in terms of T. L is
T M-L
«2 - pM.
with ruler ano compasses onsys)
ind
lascruce & Convex quadruatorul ABCD in WDLED AS ■- AD • A 15.
((1)
BC = 24 ina., DC 3 in and BAD » 60°
Draw and measure the median AM in ▲ ABD.
fill) Draw and eneasure the altitude 'GP in A BOÐ.
{All constraction lines and arce must be clearly showo, but statements ind proofs are not required),'
Calculate 4 ACD 800 GED in the figures
C
12. (a) Find by logarithms, the value of
7 sin 59° 30'
ein
24 28
In the figure, ABCD is a rectangle. Find the length of EF
LUBLINDRIES
AB is the diameter of the circle.
ABCD in a parallelogram. If C35°. calculate
ABD.
D
A
in
අස
"
cm
13. Draw the graphs of
from X.
-4 to x •
4y.
6.
3x + 12
And
78 бу
-
9*.
(For the x-axis use the scale for the y-axis use the scale
1 Inch for 2 units:
1 inch for 4 units.)
From the grapbe find the values of x and y which satisfy the above i Bimultaneous equations,
́(5) - why does the amp seem to be wastingite tims cutting a furrow?
Complete each of the following sentences with the most suitable verbal phrasÐ, from the following list. Use each phrase once only and write the answer in the
10 marks). margtos
caine aovuti, war up; looked down apḍa; pub up with; got on; - telf through; Botkin dia bazned down) madá oŭu zgraža all."
coes the writer way the furrows to a field would JAMEY
(1). Last year my clasa ... very well with the form-master- 12) My father teaching as his capear because he liked
The members, who had been exchanging their views Informally." when the Chairman came in.
2.
[7] 5 When would the fieặt be a single brown expanser
(8) Whap is bicant by the harvesting of the HER”?,
comprate the rottowing sentences with a, in or the WHERE NECE
KO KRUVAT:against in number in the maral? Welka 2·1% to article
(6) Ocience studente of our school hava complained that there are (2) de, few chemistry books in one, achool library,, eo our. Principet bas placed (3)... azder for suce books in £43470 Limited Kordoms
TOY SAE 10 1916 BONDUTADES Enzaga'to' dadicat6 AAR'A-WES
- tákn á noble causs.
* {C}! In(7) **** saqloky, women are somatimeR DOMEKEN ECO;
as (8), ;-) fair cox.
The following sentances are la rep
ted spaach
en they would 'kopsar in 's novel, not to a play.
needed,
Rewrite them En direct speeds
16 marka.NE
MENETOS POra me remare applicant that one seeman inbemigOOR AGO"
asked if she had any,experience of office work."
the negatives, but amid that she would do her best ** 16
With
töld her woɔrsport potatu
Monday
The rich man, haina conceited. - his poorer celatives.
15) The manager considered the clerk's request unreasonable
joy Being hard up, MTS, Yu... cager yesterday, (7) The shop assistant, a bill in ink for the articles, I
boughton
He asked how it
that the dullest out in mno Comma
got fall marks in the teat
The building plans, Wie for want ot, adeqūrio tinagicfal
support
(10) The Smiths me sazy deryant (or a monin ang mun
got rid of heri.
Complete each of the following sentences with a word which fe the exact of the word underlined. Write the answer in the margin
(1) Moss schools have a system of rewards and
(2)
Balor
he dived im he thought the water was
doop but in fact it was veryNTENT
(3) The hide ebbs and
(4) Ican speak only of his virtue: « ne não no va
15) What is the difference between a
märkel
Lonym and
10. Repiace each of the underlined phrases by
15 maris Write each answer in the margin.
single worq ending in
(U)CHO TRemers "unny meix neia® SATO"
'day.
BASCO`SIT" Kng hotels are mu. Saħali lod in for you tonight!
OTA Dot on our quarai, the enemy
Khrough our
tha th cons
PASSAGE A
(Question 4: Precis)
in spite of continual warnings to he unselfish and to put the good of society. befoze-aur own good, we may as well admit that all we are concerned about isous own happines.
Irena about a man, who said that there are only two real avus, illness and remorad, and that the beat thing he could do was to live for himself avoiding these two evils. When playing an active part in society, he was not living for others- that was impossible but only seeking their approval, that is, desiring glory. When he was questioned about his family, and it was suggested that surely he ilved for them as much as for himself, he admitted that this was tries the happiness of the members of his family was as important to him as his own, for he could not be content if they were in distress. But he made a distinction between the members of his own family and the mass of people, strangers to himself, who form what is called society
me argued, moreover, that usually when you try to sozye society you do.mòri harm than good, so that it is better not to interfere with others. This is what is interesting about this man, While he did not want to benefit anyone outside his own family, at least he did not want to injure those others. Why not?. In order to w avold the remorse that would inevitably follow. Once when his father was 2.4 commander-in-chief and, in a fit of anger, was going to have a clerk publicly beaten for staaling boots, to prevent his father doing something he would sfterwards regret, he intervened and saved the clerk from this excessive punishment and his father from the torments of remorse, Only the latter mattered; he did not care abo the clark but would have been sorry for his father.
PASSAGE" L
dark thing dun-
iffed and
Question 5: Compretension
the field, leaving a single furrow, The plough had been only once rich groove in the brown sarth that seemed to glow as the rays of the
'the pale caressed it. This one rat was as conspicuous aga meadow as to the wake of a ship when the water is otherwise. sombra and dark. Only there was this differences whereas the fuzzow of radisher soon after it is made, lime la curving it, the ma
endurs for a Mekl
we from which man would.
traces; all that is to
zveating of the enn LoryoE be esen in Tole. Harbons, besides the boste are the inches, above the surface.
the whole field, they would make derive hie
hment. The
buely, that the ship in