1979-04-10 — Page 26

頁二第張七第

日四十月三年未已曆夏

1979

中學會考試題預習專欄

WAH KIU YAT PO with ends (2, 2) and` (4-4)

SECTION B (605).

新數學

•CHE)

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MODERN MATIEMATICS (27).

REVISTON - TEST

In a geometric progression,

the second term is 6 and

the sum to infinity is 27.

If the common ratio of this

progression is less than 2,

Marks

20

30

30

PAPER T

Time allowed. 2 hours and

(a) find the first term of

the progression (b) how many terms of the

40

5.0

50.

·60

60

70

inutes

progressi must be

taken so that the sum

is greater than 26.9.

70

80%

80

90

90

100

Answer ALL questions in

SECTION A and ANY SIX in

SECTION B

SECTIONA

1. In ure 1, BC, EF and DA are parallel BC-2AD

If the area of ZADE is

4cm find

The table shows the dis-

tance of a man

an who travelled

10 miles from A to B.

Time (p.m.) | Miles from

1:10

the area.

A BEC

1:15

(b) the area of EAF

1:20

1:25

1:30

135

Figure 1

sells an article to

at a gaì of 20% Bselis it to at a loss of 10% If C paid $3600 more than

cost find

(a) how much A B and

R

respectively paid for the

article,

(b) the respective profita

for A and B

Find the values

eR such that

:40

(a) Represent graphically

the above data.

(b) By making use of the

graph plotted in (a),

find when and where he

met another man who set out from B at 1:10pm, and travelled at a steady speed ́of 25 m.p.be to As

A

11. 4 large gate ABCD hinge

vertical line AD: in the

open through 40° into

position ABC D.

郭日僑

31.8 15

passed in Matliematics

13. The following table shows

the results of 50 students

in a mathematics. test

Frequency

二期星

日十月四年九七九一展公年八十六國民華中

terms of x and y

(b) write down the constraints

for x and y

(c) plot the solution set of the

constraints on the

provided.

(d) what are the values of

x and y

(e)

Is the cost

育教僑華

“and”,

John has already eaten and left. Peter will come and help us.

A is wrong because it is contradictory. 'B' is wrong because it is talking about future time whereas the part of the sentence given is referring to the past time. 'D' is wrong because when referring to past time, we would have to use the type of verbs found in the conclusion of a third condition, (I would have visited you), since, in fact the speaker did not visit the person being spoken to [Refer to the Answer Book to Effective English, pages 31-34. "I meant to visit you" in answer "C" means that I had intended or planned to visit you". This idea fits in perfectly with the idea expressed in the part of the sentence given in question 7 and C is, therefore, the answer.

8 B

After be sure or be sure not expressing a command we always use an infinitive.

"Lose" means, to have taken away from one. by accident, misfortune, carelessness, etc. but loose' means 'not tight.

Don't lose these notes.".

Tighten this rope. It's too loose;

give one's assent to something

give

permission to someone for something, or

英文

(HE)

to do something

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ENGLISH

to the plan.

He gave his assent

(a) Find the mean

the test.

(b) Construct the corresp-

onding cumulative freq-

uency polygon of the

above frequency dratri-

hutson

(c) If 60% of students passed

in the test, determine

from your c.f. polygon

the pass mark of the test.

14. In figure 4, the straight.

line I cuts the circle t

at Pand

O is the cen-

tre of the cir

Figure

(a) Find the equation of (b) Find the equation of (c) Find the coordinates of

P and 4

E:F. O'Neill

In English, we say that someone takes' or

wears a certain size shoe.

What size shoe do you take? "I take a size 10. What about you?

In English we say treat injuries'. We can- not use bandage, clean or cure when speaking of injuries. Wounds or injured parts of the body are cleaned and band- aged while diseases are 'cured.

The doctor treated the boy's injuries:

Fillness. How can one treat such an injury?

The nurse bandaged his.

illness?

wound arm. injured leg. sickness.

The doctor cured Peter's tuberculosis,

+cold.

People die in an accident or place, die ‘of a disease, hunger, starvation or grief. sadness of other feeling, and die “from injunes or wounds.

to. Peter's being made

manager

ascent the climbing up:

The ascent of the mountain was very dangerous.

It took them an hour to make the ascent of the steep hill..

accent individual or local way of pro- nouncing words

That man has a strange accent:

could tell from his accent that he was an American.

essence the inner nature or most impor- tant quality of a thing

10 D

In this book, we can find the essence of that writer's philosophy of life. The essence of the problem is that John refuses to co-operate with us.

loose consciousness suddenly become unaware of what is going on around one, lose the ability to know things by means of one's bodily senses and mental powers.

We became alarmed when the injured mad lost consciousness. Choice

C is wrong since one cannot feel unconscious since being unconscious. means losing one s ability to 'feel' things.

ind the values of

15.

In figure rectang

on BC and CD

ioi

ABCD is a

are

CF FD

respectivel

153.

and BM

That man died of

old age. cancer. tuberculosis.

fright. fear. hunger.

injuries received

'to'

means about or conceming. He inquired as to the chances of bis getting the job..

aird

Find the values of the

nal numbers. a and

varies inversely us find the percentage change in x hen z is increased by 10%. (Answer

correct to: 3.

figures.)

ificant

In the figure,

centre of the circle

ACB 15° and 04 - 10cm, find the area of the

shaded

(Take π - 3)

Figure 2

Find the equation of the

which has

ili amo ter

igure 3.

If the

ate is 2m high and 6m wide Find (a) the angle between

AC

Figure

press

and

(a)(i).

and

AM in terms

and

angle which All makes

the plane ACC

150 students took examina-

tions in English, Chinese and Mathematics, 25 passed in hinese and English, 15.

passed in Chinese and Math-

ematics, 10 passed in Máth-

ematics and English; 30 passed in English only.

40

passed in Chinese only: 20

passed in Mathematics only. There are altogether 60

passed in English. (a) If a student is picked

at random, find the probability that he passed

in

(i) all three subjects (ii) me, subject only (iii) no subject

who

(b) If a student is picked.

at random from those passed in English, find the

probability that he also

Find the lengths of

AM and BF

Prove that AMP is

a right angle (b) In addition if: BE EC

Efind the value of

The re are types of buses, A and B, for hire, The rent on each bus A is £80, and on each hus H is $60. The capacity of each bus is given by the table below:

People Luggage: Bus A ·36

140 kg Bus B 15.

200 kg

In a school picnic, there are altogether 180 students. and 1400 kg of luggage. If the most economical way is to hire x bus A and y bus B (a) write down the cost in

in an accident

The young man died from wounds received

Jin battle.

the freezing cold.

automobile acci dents every year, wats, every cen

drive at (used in the progressive tenses only) mean, intend

What is he driving at? What is he trying to say?

Many people die in

tury

fires every

month

specialize in give special or particular attention to

That restaurant specializes in

That shop specializes in

French food.

Pekinase cuisine. Italian cuisine.

women's wear.

men's wear.. old books.

After a preposition, verbal ideas (actions, etc.) must be expressed by the gerund form. (ing) of the verb.

of the y

Notice the preposition without in this sentence. In addition, to see in this sen- tence means to find out, to learn and after 'see' meaning to find out" or "to learn we must use either "whether or "if or a question word (who, what, why, etc.) to introduce a clause.

Go to scu

who is at the door.

Whether John is ready.

if Helen has arrived.

where Peter has put the box. Henry went to the old house to see whether anyone lived there.

Peter was wrong to lose his temper and (to) leave the room.

The to of leave' may be left out since when we have, two verb. forms expressing two actions done by the same person connected by an "and", after the "and" we may omit the part(s) of the verb form which has already been used before the

13

.14. B.

[Refer to the Answer Book to Effec tive English Language Usage, pages 123-1241*

After verbs or phrases showing doubt, ignorance or uncertainty (I doubt, I won- der. I am not sure, I do not know), the conjunctions "whether” or “if” are used to take the place of that to introduce a clause Note, however, that whether and if are not used to take the place of question words used as conjunctions (who, what, how, etc.).

Note:

I doubt whether (or if) Mary is home.

I wonder whether (or if) Mary is home. am not sure whether (or if) Mary is home.

There is some doubt whether Mary is. home.

There is no doubt that Mary is home, "There is no doubt is the opposite of "There is some doubt and therefore does not fit our definition that verbs or phrases showing doubt, etc. take whether? or 'if

I am sure that Mary is home.

take pleasure in doing something pleasure from doing something

Mary takes pleasure in teaching others.

(from)

Mary gets (or obtains) pleasure from teaching others.