1979-12-11 — Page 15

= 1.333seconda Ang。

3

日一十月二十年九七九一滕公年八十六國民峰中

factors of x+px^+qx−18.

3. X, Y, & can do a piece of work in 12, 5, 10 days

育教僑舖:真三第張四第 日二廿月十年未己麽夏 WAH KIU YAT PO

報日僑華

+

二期星

管材 (240)2 (0.025)

.. the time interval

2x550

1980

=

1440N

Ans.

330

660 330

中學會考試題預習專欄

(iii) The wave length.of

fundamental note heard by ear

330

物理

(+)

60 5.5m

Ang.

ཝ

明德出版社魯榮家提供資料

1

Bind =

1.5

= 41" 49

15. Lot a be the critical angle

of the prism.

Physics (10)

W. K. Lo

(Mill & Dale Press Ltd)

—ły-but-the-specific «latent

heat of fusion of ice be

L Jkg...

Mass of water

=0.16kg - 0,06kg

0:1kg

Mass of ice

-0.1845kg

=0.0245kg

0.16kg

3. Since the image is enlarged,

it must be a converging

lens. But the image may be real or virtual. Real-is-positive

Case 1: Real image

n = magnification (linear)

1

บ

16

= 4

鄂

4

41

=qu

?

= 0.16m

+

1

= 0.27

As shown in the figure,

sin39°52'

sin a

sin

Ans

趱

•

0.513

1.5

= 0.342

20°

= 1.5.

sin30°52' 1.5

respectively. All work for 2 days and 'X and Z leave. How long will Y then take to finish the work? 4. A man borrowed $3200 and

repaid it by two equal

5.

annual instalments at 6% compound interest. Find the amount of each instalment correct to the nearest $。

B

心.

In the figure, I is the orthocentre of △ABC.

If AEP - 67, find (BCF.

(Geometry theorem need not

be quoted when used.)

A

second, at which the water. flows through the pipe.

12. by selling eggs at B5 per

dozen. a man gained 20%.

The cost price of the eggs rises by 12%. If he sells at the same price as before, find his new gain percent. By what percent should he raise his selling price to gain as much as formerly on every dozen?

13. The mth term of an A.P. is 'n and the nth term is n where m fn. Find..

14.

(a) the common differencer and the 1st term of

the A.P..

(b) the value of (m+n)th

term.

A

D

Heat energy lost by water

and calorimeter

=(0,1x4200 + 0,00x420)

x (35-13.8)

-9438.24 J

Neat energy gained by ice

-0.02451 +

(0.0245x4200x13.8)

=0.02451 - 1420.02

9438.24

=0.0245L+ 1420.02

L

-

327274.3Jkg"

Ans: The specific latent

heat of fusion of ice

is 327274.3Jkg“

•

2. (i) The wave length for the fundamental note of the transverse wave in the string

=2x2

-4 a

Since the frequency of the fundamental note emitted is bojiz.

the velocity of propagation of the transverse wave in the string =4x60

-240ms

-1

(ii) The linear density of

the string

0.05kg

2m

320, 025kgm

where

velocity of the

transverse wave

in string

T = tension in the

LE

string

= linear density

240 =

of the string

美麗寶島

Apply the lens formula

Cuse 2: Virtual image

19

V

-V

=

- 4

u

41

*

f = 0.16m 爹

Apply the lens formula

1

+

-40 0.16

备

= 0.12m

Therefore, the object must be placed 0.2m or 0.12m from the lens to produce a real or virtual image ungnified 4 times linearly or 16 times superficially.

440ml

330m M 330mm

660m

(i) The tice interval

1460m

= time taken for sound

travels from A to E. and back to A 2AE

330

2x440 330

=-2,667 seconds Ans

''

(ii) The dime interval

(time taken for sound travels along the Path AN髟) (time taken for sound wave

ww

travels along AB)

2AM

AB

ॐ

330

AM=14402+3302

-.550

星馬八天

C

=

+

90°

- a

70°

180°

裁

50°

d = 90° 400

b - 60°

500

Since 40°, therefore the ray will emerge. through the bottom of the priso

1 sin r

1.5 sin r = 0.9642

74 31

The path of the ray is

shown in the figure.

數學

(+)

明德出版社女長波提供資料

Mathematics 10

C. P. Man

(Mill-& hale Press Ltd).

Exercise 4

*..

Anawer ALL questions in Section A and any Six questions in Section B.

-Section A

1. Simplify 3年(x+2+)

x-1

a. Find the values of p and q

if (x+2) and (x-1) are

B

In the figure, BE bisects ZABC' and DE//BC, AB=5cm, BC-7cm. Calculate the length of AD.

(Geometry theorem need not

be quoted when used.)

7. Simplify taux

Cosx

8. Solve the equation, giving.

all values of x from 品

0° to 360°

..

R

4gin-x^+ COBX

Section

9. x, y and k are three

numbers. The aum of z and. twice of y is equal to five time of k. The sum of the aquatre of y and the product of x and y is equal to four 'times the aquare of k.

Find x, y in terms of k.

(h) If x, y, k are all

ponitive, find the value

of k such that x-y 4.

10, P is south and Q is east of

a tower. The angles of

elevation of the top of the

tower from P and Q are

and 50 respectivelyo

If PO ia 160m apart, find the height of the tower.

11. 髟irty water is pumped out

from a pool through a pipe

of 10cm diameter at the

rate of 1100 litres per

minute, Calculate thè

rate, in meters per

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15.

16.

In the figare, ABCD is a trapezium with AD//BC. The diagonals AC, BD cut at 0. From 0, a straight line is drawn parallel to BCyand culB AB, CD at E and F respectively. (a) Prove that EO OF. If AD-8cm, BC-12cm, find the length of EF.

In the figure, ABC-61°, LACB-35". Find the ratio

of BC: CD in the form n1 if = 28.

In the figure, ADPC is a cyclic quadrilateral

PX LAB; \PY_LBC; PZ_LAC. Prove that

(a) [PYX = [PCA,

(b) K, Y, Z are collinear.

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