日十二月三年九七九一圈公年八十六國民華中

12. In the figure, ABCD 1s

a square, BE EC, CD-KCF.

育教備華頁三第張四第二日二十月二年未己曆夏

1979

WAH KIU YAT PO

郭日僑華

二期星

Certainly

of the circle. OA

(meaning I certainly would niiud."y

Would you mind if left curly??

AB - 7cm, BP-9cm.

straight line

with the preposition, by" and is used when. talking about an agreement, Ponifier": the law rules, etc, but is never used, with his word".

the rules.

He agreed to abide by the contrada,

the conditions of the lagrośnej.

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Observes, in choice C is used, as abide.

above

the rules.

ENGLISH

by E.F. O'Neill

agreement

I certainly would.

"Would you mind, if I used bicycle

Y Not at all.'

Choice "A help yourself would be used if

37. D

When someone apologizes for doing some- thing wrong or for bumping into someone or stepping on one's toes, etc. the person who is being apologized to may respond by saying:

X:

s.

I accept your apology.

That's all right..

"No harm done."

"You're forgiven."

Please forgive me for coming late.

Y: a.

38...C

b.

That's all right."-

You're forgiven.

"I accept your apology

No harm done."

Note that the past participle of "to broad- cast' is broadcast'

When we say that an event or programme is broadcast 'live' we mean that it is broad- cast on television of radio at the same time that it is actually taking place and not sometime later as is often the case with programmes and events.

A:

B is wrong because we can never use more together with an adjective in the comparative form (taller, better, etc.) as the comparative form already includes the meaning of “more”.

"C" is wrong because people is never writ ten with an 's unless it is being used to refer to different races of people. (The peoples of Asia have much in common though they also have their own govern- ments, languages, histories and cultures.). Dis wrong because hardly means. ̈“almost not” and so would be meaningless

here.

Hard when used as an adjective means 'difficult" or "not soft. When used as an adverb, hard means strenuously with all one's force' (e.g. He works hard.) Hardly means "only quite, Just barely'.

scarcely.

40 C

He always studies hard

(He studies with all his effort:)

He hardly ever studies.

(He rarely or almost never studies.) We work hard.

(We work with all our might or force.). They hardly work at all.

(They scarcely work; in other words, they do very little; they almost do not work at all.)

When someone praises us for something we've done or for our appearance, etc., we should respond in English by saying.

“Thank you.”

I'm glad you like it.' (When referring to something we're wearing, the style of our hair, etc.)

I'm glad that you liked/enjoyed it. (When referring to something we've done, a speech we've given, etc.) Note that the responses given in 'A', 'B' and 'C' are not natural English and would not be used by a native speaker in the type of situation described above.

X: You have an excellent voice, Mary. YaThank you

b. I'm glad you like it."

X. You sang beautifully, Mary.

Y a

41°C

Thank you.”

b. I'm glad you enjoyed liked it.”. (The song has already been sung.)

When we wish to say that we shall definite- -ly see a certain film, attend a certain play, football match or other event, we say in English, we wouldn't miss this match for the world' when speaking of a past event which we did, in fact, see or attend, we say we wouldn't have missed that for the world,' meaning that we did see or attend. the event mentioned because we very much wanted to see or attend it..

X: "Peter, are you going to the foot- ball match on Saturday evening? "I wouldn't miss it for the world."

X: Helen, did you see that film?" I wouldn't have missed it for the world.'

Keep one's word do as one has promised

keep one's promise(s)

Helen seldom keeps her word. Notice that the last part of the original sentence on the question paper so people find it very hard to deal with him', makes it impossible for us to use choice "A since never breaks' means 'always keeps and if someone always keeps his word, people should find it easy to deal with him. The word "abides' in choice 'B' must be used

He agreed to observe the conditions of the

and is also used to mein celebráie a holiday“, Tollow a certain, custom,” elc..

They observe the least of Christ's birth on December 25thy:

43. C

'Remember is one of a group of verbs which are usually followed by the infini- tive. However remember is sometimes. followed by the gerund instead of the infinitive, When remember means to: call to mind something that has been done in the past, it is used with a gerund.

I remember going there. (I went there and now I remember it.) is

She, remembers talking to Peter once before. (She talked to Peler once be fore, and now she remembers that she talked to him)

They remember hearing that story when they were in F4. (They heard that story in F 4 and now they jernein- ber that they heard it:)

When remember has the meaning of to be sure to do a certain thing or to accept a certain responsibility, it must be used with an infinitive.

Remember to ring up Mary this evening-g

Did you remember to brush your teeth before going to bed last night?

Please remember to post this letter for me:

(See pages 35-40 of Effective English. Answer Book for a list of the verbs that take an infinitive or a gerund in English.}

44 A

Choice A' nevertheless is the correct answer because it is a conjunction which shows a contrast or conflict between two statements and is usually used after a semi-colon of a full stop whereas but (choice "D) which also shows a con- trast or conflict between two statements cannot be used after a semi-colon.

Notice the difference in the use of never- theless and bur

John is quite intelligent but lazy

(nevertheless)

John is quite intelligent; neverthe he's lazy

He had failed many times but he went. on hoping.

(nevertheless)

He had failed many times; neverthe- less, he went on hoping.

Choices B and C are not correct because ““and” and “so' do not express a contrast and we usually don't expect a very short person to be very strong so there is a contrast or conflict between the ideas in the original sentence on the question paper and so we need a conjunction that will show this contrast.

45. DA

Keep down the noise reduce the noise be less noisy

We can see from the original sentences in. question 45 that the speaker wishes some- one to stop making so much noise so 'D

is the only suitable answer...........

Keep up' in choice "A means to 'continue" some activity which is expressed as a noun, pronoun. or gerund with a modifier ("the".

his, "her", etc.)

46. B

She kept on (continued) singing,

She kept up her singing.

They kept on complaining (kept up)

They kept up their complaining.

It is a rare" means "few. Therefore, "few boys are not interested means most boys" are interested."

It is a rare mother who doesn't love her own children. Most mothers love their own children.

48. A

When speaking of "cost" or price'. in Eng- lish, we must use the adjective: "high" or ‘"low", "reasonable', 'unreasonable', etc.: We may never use 'expensive" or "cheap" with the words "cost" or "price"

That book was expensive (Begin: The price)

The price of that book was high,

When someone asks if we would mind if he

did a certain thing, we may answers

"Yes, I would (mind)."..

"No, I wouldn't (mind),"

Not at all.

someone asked whether or not he could.

use or have a certain thing.

X

May I borrow your pen?.

Y:

Help your+1(7 (meaning take it and use it if you like)

X: May I have an orange?" Y'Help yourself.

Choice 'C' 'yes, you may is used in res. ponse to a request hegun with May

May we'retc

X: May I go.

Y: Yes, you may,

50. B

to be angry with someone for something to be angry with someone because he jus done something one doesn't like

He is angry with me for lying. Choice C is wrong because we must use an of after because when because is followed by a gerund, noun or pro noun and not a clause..

because I left

He was angry because of my leaving

Because

Because she was ill she could attend the meeting

Because he did badly in the Hiiul examination, he had to repeat, F.4. Because it rained, we had no caricet yesterday's picnic.

Because of Because of her illness, she could not attend the meeting. ⠀⠀⠀

Because of his doing badly in the final examination. he had to, repeat F42 Because of the rain, we had to eanect yesterday's picniët

Choice D about the leaving is wrong since “leaving' has not been defined and so. we cannot use the' in front of it.

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MODERN MATHEMATICS (24)

TEST: NINE

Attempt ALL questions

Section A and

SIX

Section B.

SECTION A (40%)

In the figure is the centre of the circle.

arc AB 10cm ZACB

Find in terms

(*) the length of radius DA (b) the #rea of the shaded.

sector AOB.

3x

find the values

and

3. If

3x+2

find the value of

If d, f are the

the

3x+

find the equation with roots d + 28 and ß

5. Ifx € Rufnd" the:

(meaning I wouldn't mind at all.").

In the figure

Is the

不隨禮柯多新彩g無報請遠 另報拜式采穎色任販就道 收附出印多雜華 § 歡訂近閱 費送版刷姿誌僑迎閱向戶

Figure

Find the length of PO,

7. Find the values of the

real numbers a and b if

3)

The difference between the

simple interest and the

compound interest on a

of

ey invested for tw

rs at 4% per annum is

$144. What is the sum of

10N B (60%)

function defined by

| (x+2)2 ((x-6)2

(a) Draw the graph of (b)(1) 18 ↑ injective

9]

function

com A

(1) Is fa

etive

function from A

(e) {t g(x)

find

therwise

graphically

the {x©A : f(x)=2(x)}

ae t

The equation. (*

2y 3) k(2x

“epresents family of stra- ight lines passing through a fixed point P.

(a) For what value of k is

the line in the family parallel to the straight

ine

2x +

For what value of kis the line in the family perpendicular to

7

(c) For what value of ķ

line in the family

pass through the centre

circle

21

(d) Find the

11. In the figure, ABC is 1 triangle

Aquilateral

BC

AF BD CE

find

Figure

3. If

(a) the area of A DEF in

terms of a.

(b) the length of FD in

Germsofa.

(c) Hence, or otherwise

prov

ore that TD is perpend-

icular to BC ¿

gure 4

BF in:

IT AB P.

(a) express AE

terna of k p and q (b) If AE. îs perpendicular

to BF find the value of

13. A square has a perimeter

of 40cm. Along each side,

a point is located two-

fiftha the distance to the

right of each vertex, bý joining consecutive points,

a new square is formed. This process is continued

for each new square so

formed, Calculate

(a) the sum of all the

perimeters of all such

squares

the sum of all the areas

all

such squares.

Pigure 5.!

In an arithmetic

gression, the sum of the

is 156

and first 3 term, their product is 80, Find

the first term and the com

mon difference of this

progre Long

15.(a) In a bag, there are

3 red balls and 2 green bails. One ball is drawn at random and then re-

placed. In three success- ive draws find the pro- bability that balls of different colours are

drawn alternately, (b) Bag A contains 1 red

ball and 4 green balls, Bag B contains 7 green balls. A ball is taken at randon from A and put into B. Then a ball is taken from B and put into Find the chance that the red ball is still in A.

16. In the

gure, ABCD, ABEF are rectangles.

BC -

5. Find

AB =

ZCBE

(a)4 CAE

(b)

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and

the volume of the so)

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