1980-04-14 — Page 27

曦日僑華

-期星

育教撟華養三第張七第日九廿月二年申庚曆夏

WAH KIU YAT PO

?對於在这些科目在做族成能的學生,是否會推

|校紧接站赞椵平城盛定國號勵學生修業此類學科,

離原校,他們在高中越王科或實用科自

之中 業概

藏

且很篇,接癮一

保

持

雄精

類和力

全校的酸海染及 的試野間先射

日四十月四年〇八九一歷公年九十六國民華中

中三試與工藝科

教育週

的比重問題。隨後報戰又再刊登教育蹲的心, 一出在來年舉行的初中成核評核辦法内造工科目,以?

本

及出版中院港

教

7

1980

中學會考試題預習專欄

新數學(廿八)

明德出版社魯榮家提供資料

MODERN MATEMATICS (28)

J. K. Lo

REVISION TEST

PABER I

me allowed: 2 hours and

30 minutes

Answer ALL questions în SECTION A and ANY SIX în

SECTION 3.

SECTIONA

101922

In figure

BC, EF and

DA ere parallel BC

2AD If the area of

the 2

AADE is 4 ca, find (a) the area of ABEC (b) the area of A EAF

Figure 1

A sells an article to B

at a gain of 20%. B sells it to C at a loss of 10%. If C paid $3600 more than it cost.

A, find

(a) how much A, B and C

respectively paid for the article. (b) the respective pro-

fits for A and B.

Find the values of

R such that

If x varies inversely

las y find the percen-

tage change in x wh

when z is increased by 105. (Answer correct to significant figures

In the figure, 0 IS: the

centre of the circle ACB-15° and A

find the area of the

shaded region. (Take

Figure 2

8. Find the equation of!

the circle which has diameter with ends (2,2) and (4,

SECTION B (60%).

9. In a geometric progres-

sion, the second tera

is 6 and the sum to in- finity is 27. If the

112.

common ratio of this progression is less

than

(a) find the first term

of the progression. (b) how many terms of

the progression must be taken so

that the sum is greater than 26.9.

The table shows the dis-

of a man who tra- lled 10 miles from A

Represent graphically

the above data. ❤

(b) By making use of

the graph plotted in (a), find when andere he met.

another man who

set out from B at

picked at randon

from those who

passed in English, find the probabili- ty that he also passed in Mathe- natics.

1:10 p.m. and tra- 13. The following table sh

velled at a steady

speed of 25 m. 1

to

Tergolate ABCD wing-

́ed in the vertical line

AD, is open through 40o Into the position

ABLOID.

++

VEISEER

gure

m high

If the gate ist and on wide, ind (a) the angle between

AC and AC

the angle which

makes with the plane ACC

鹿

150 students took exa inations in Biglish, Chinese and Mathematics.

25 passed in

Mees

and English, 15 passeds

in Chinese and Mathe-

matics, 10 passed in Mathematics and Eng- iish; 30 passed English only, 40 pass- ed in Chinese only; 20 passed in Mathematics only there are alto- gether 80 passed in English

(a) If a student is

picked at random, find the probabi-

lity that he pass-

Time

:00

Find the values of

1:05

and y if

1:10

27

1:15

and

1:20

815

1:25

1:30

1:3

3.8

7.2

3%

Find the values of the

rational numbers a and

all three sub-

jects (ill one subject.

only

no subject

If a student is

ows the results of 50

students in a mathe-

matics test.

Marks

Frequency

0-40

40-50

50-60

60-70-

14

70-80

80-90

90-100

(a) Find the mean score.

of the test

(b) Construct the corre-

sponding cumulative frequency polygon of the above frequency

distribution.

If 60% of students

passed in the test,

detersine, from

your c.f. polygon, the pass mark of the

test.

In figure 4, the strai ght line L cuts the circle C at P and

O is the centre of the

circle.

J. (0,14)

Figure 4

Find the equation

of L.

Find the equation of 0.

(c) Find the coordinates

of P and G.

In figure 5, ABCD is a rectangle. - E, Fare points on 30 and CD

respectively. If BC = 10 1, BA CFFD

BUY CAME

15 J

2 and

Figure 5

(1) Express Br, AF

and AM in terms

of

I and J.

(11) Find the lengths

of AM and BF.

(111) Prove that

LAMP is a right

angle.

(b) In addition, if

BE EC k:l, find

the value of k.

116. There are 2 types of

buses, 4 and 3, for

hire, The rent on each

bus A is $80, and on

each bus B is $60.

capacity of each bus is given by the table bel-

OW:

People Luggage.

36

140kg

15 200kg

Bus A

Bus B

In a school picnic, there are altogether 180 students and 1400

The

kg of luggage. If the most economical way is to hire x bus A and y

bus B

(a) write down the cost

in terms of x and

(b) write down the con-

straints for y and

y

plot, the solution

set of the con-

straints on the

graph provided (d) what are the values

of x and y.

(e) what is the cost.