1969-01-21 — Page 15

ENCE LIFE

21 JAN 1969

离收優率,貝三第張四第日四初月二十年申戊磨夏 WAH KIU YAT PO

HALL

報日僑莘

期星

日一廿月一年九六九一屣公年七十五國民華中

CX文中學會考試題預習

1969

本文中學會考試題預習

數學科

(十二)

歐陽餘文

英文科

(t) 桂

MATHEMATICS (12)

LESSON 12: ELEMENTARY ALGEBRAIC

OPERATIONS & TRANSFORM

ATION OF FORMULAE

EXAMPLE:2:- Two rectangles have the same perimeter,

The first is 5x in. long and 2x in

The second is Lx in. long. Find differ ence in their areas.

(ENIGISH" (12}·

Answers to Paper XI

clambering up the legs of the bed. They were rurning this way and that over the bedspread. Finch stretched out his hand and turned on the light. He took another tablet, for he must be fit to play that night. He remembered that he was in Oregon and that the Pacific was near. That was calming thought. He pictured the endless rolling of the waves. He tried to repeat poetry about the sea but the poema eluded him,

One line from some forgotten poem went on and in his brain - "Hateful is the dark-blue sky,' Over and over it was reiterated till he felt nothing, could see nothing but that dark-blue arch burning above him, Hateful is the dark-blue sky. Not since boyhood had he remembered Ithe words beautiful and menacing..

15.Ya sense of strangene 39.

SOLUTION:

the length of the first rect

breadth

5x"

2xTi

perimeter

second

2(751Smum 1420" 14%*

length

breadth ♬

Area of the lat reat(5x)(2x)sq.in10x2sq.in.) (4x) (3x)sq.in 12x^aq. in.]

2nd

the difference between their areas.(12x2+10x2)sqj

- 2x2ecido.

PLE 2: Two men are walking along a straight road in

the same direction. The faster man is walking at x mph, the other at y mph. At the start. the faster man is a miles bening, but after- z min. he is only b miles benind. Find an expression for b in terms of a,x,y ondes. Find also an expression for the time" (in min) at which the faster man will be a miles behind the other. (cza)

SOLUTION: The speed of the fester man x mph

"other

y moh

in 1 hr the faster man catches up(x-y) mi, the faster man catches (x-y) mi, in 1

is equal to z min.

(a-b) mi

·60%

(11) at the beginning, the faster man is a mi behind,

1 hr. later,

a-c

x-y.

the time needed

(a–c)mi,

x-y

[or 2(acc) min.]

EXAMPLE

Change the subject to n

SOLIT

13. funny

1. cool-headed man]

D. 2. dramatic

many of the villagers hearty laugh.

the

II.1. pretty quite

2. giddy: dizzy

3. tumbler drinking-glass

4. vibratory: moving rapidly.

5. utterly completely

6. tremors: thrills of fear Ziravine: a deep, narrow gorge,

a mountain-cleft

a marrow opening between the hills

impotent: powerless

overwhelm: overpoweri

ceased: stopped

Paper XII

He riung to the other side of the bed. He felt suffocated by the heat of the bedroom. He had turned off the radiator and opened the window but still it was too warm. The overheating of the hotels was one of the trying things about a town.

Aesolutely he lay on his back. He pictured thee? little church at home, the first snowfall lying in the churchyard. He pictured the family plot, where those who had given themselves to so many emotions now lay at peace. The snow lay lightly on the graves. Too lightly, for it did nothing to restrain those within. A restless, movement ran through their bones. In frantic haste his spirit fled from the place. He pressed his fingers to his temples, was it possible that he was going to have. one of those attacks of pain in his head and neak.

which once before had nearly wrecked him? He gently. massaged the back of his neck. He looked at his watch. Just twenty minutes had passed since last he had looked at it. He could not go on like this. He took one of the tablets in a gulp of water and settled down to let it "work its beneficent will. But he was so thoroughly

awake that the tablet took some time to soothe him, in truth his imagination seemed more terribly alive. He felt himself playing Bach'a Italian Concerto in F major, But he could not control the black keys. The white keys behaved themselves, doing his bidding, but the black keys raced away from under his fingers like ants, He wondered why the thought of ants was so intolerable ton him. There was some painful scene in his memory connected with ants but he could not recall what it was. Now the black keys had run right away from the key- board scuttled down the legs of the piano, and were,

Fake a precis or the passage using far as possible.

Choose the correct answers.

own words 491

2. The physical cause of the writer's sleeplessness

19:

(1) the pain in his head and neck,

(11), the restless movement that ran through him. (111) the frantic haste in his spirit.

(iv) that he had to massage the back of his neck.,

()the thought of the vrecku

The rental cause of hi

li) his terror sto

11) his liveliness..

(111) his imagination.

Leeplessness 13:

(iv) his having to play. Bach's Italian Conce

(v) his lack of control.

He tried to calm his nerves physically by a (1) taking a gulp of water

(ii) taking a tablet

(iii) taking a tablet with a gulp of water,

(iv) playing Bach's Italian Concerto in F mejor.

himself, (v)

4. He tried to calm his nerves mentally by

(1) taking a tablet.

(11) looking at the dark-blue arch burning above

him.

(iii) reiterating the words "ber utiful and

(iv) writing poems about the sea, (v) repeating poems about the

the sea."

5. "Now the black keys had run right away from the?.

keyboard, scuttled down the legs of the piano, and were clambering up the legs of the bed. They were running this way and that over the bed spread," This suggests that the writer wishes” to create an atmosphere of

(1) excitement

(41) horror DWT

(iii) the ludicrous

(iv) nervous strain,

(v) the superb

Give for each of the following words another expression of similar meaning to that found in

the passage.

1. suffocated 2. trying 3. pictured restrain frantic,

T

6. gulp

intolerable clambering,

eluded menacing":

91*( 5-0 ) = −an (4

KAUPLE

SOLUTION:

ST

51

The sum of the cubes of the first n integers

Find (1) the sum of the cubes.

of the first 16 integers; (ii) the sum of the cubes of the integers from 11 to 20; inclusive.

(1) when in ma 16.

Sum of the first 16 cubes 1 +

16 x (16+)

18496

EXAMPLE 6: In an examination, a candidates were baya

and b were girls; x per cent of the boys passed and y per cent of the girls. What per- centage of the whole number of candidates: failed?

SOLUTION: Tatal no, of candidates-a boys. + b girls w

Total no. of failur

the % of candidates failed

=(I-XX) of a

+(1-1) of b (100-x)x+(100-v)b 100

Total no. of failures 7X Total no. of candidates

a(100-x)+b(100-y)+(atb)

100

a(100-x)+b(100 a+b

AND. (C_J

the given expression should be

Total

fance coverest: Av. speed S

time taken

Note : } 1+ tan'8_z_set"8 (12) See's

chión, answer (8)

ld be +1

18, <Ė) both (a) and (b) the impossible.

CDJ

JOSE 7

when 1=1

sum of first 10 cubes=13+

210 x (18+1)"

((ET

perimeter =

when ne 20, aum of first 20 cubes 1a.

44100

the sum of the cubes of the integera from 11 to 20, frælustre, fa

$43.00 - 3025-41075

EXAMPLE 5: Taking 1 cu. ft. at water to weigh x lb.)

find in tons, the weight of water which falls on)

y-acre field in a rainfall of z in.

& ANS. TO LESSON !!

21, (A) Average

*; (0) The exact compound interest in the second year.)

the comp interest for 2 years. i.e

(A).

need to subst. Tr.

SOLUTION:

1. ac. 4840 8q, yd: Fac840 y sq. ya..

(8)

Volume of the 2" - rainfall

4840y x 9 x 12 cu. ft. 3630yz cu.ft.

10% do not lake isathemati ės 15% 352

Physics chemistry

(3630yz 1b),(x)

ton.

the wth".

3630xyz

2240

363xys ton.

·224

at most (10% +15% +35%) do not take wher the least that learn all: te

(A) ¡As in prob. 5.

(E)

Guinea of "lestal agerty

No. of children:

(E) Not in proportion

(D) The proportions ale #5:30 138,

Vol. = f base area y height.

(83)

Exercise

102:38

what length in ft. of lead pipe of cross-section sp in weighs n sut if cu. th. of lead weigh

A cyclist cycles from A to B at an avarage spaen of x mph and returns from & to A

an average spend of y mph what will be his av, spud_m_mph_for the double joumey!

Sum of squares of the first 'n integers is

Find (a) the sum of squares of the first 20 integers And (b) the sum of sq from 31 to 40, incl

and

bitta find & in terms of 7.

Also find the value of a to decimal places when p=1.3*10*, q=0.9×108 x = 107 6=0.3 × 103

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