1983-04-06 — Page 27

育教華華

真三第張七第日三廿月二年亥発服夏

WAH KIU YAT PO

報日僑

三期星

日六月四年三八九一曆公年二十七國民中

2

1983

B. a-4b

中學會考試題預習專欄

C. a-2b

2

•nx+3x+2

+3 nx+3x+2

2

Bb-4ac >0

A. y=sin20°

C.

B. y=singe

D. b >0.

D. a 4b

E. None of the above.

25. Which of the

C. y=2sine

D. y=2cose

following graphs

數學

(廿九)

|明德出版社資料提供 盧國雄

MATIEMATICS (29)

H.K. Lo

MILL & DALD PRESS LTD

Revision Exercise. Paper II:

Time alowed:14 hours.

1. If

*

A.

z-x

B. X-Z

XZ

D.

E.

E. a+2b

(-2x-y)**

A. 2(x-ty)2

B. 4(x-ty)2

C. 4(x+3)

D. 4(x+y)?

E. 2(x+by)2

12. (x)-(x+

then y

B.

D. 4

E.

D. 6x+2

3x+1

E.

20. #90 is paid for a

task which X can do in 3 days of 8 hours each, Y in 4 days of 9 hours each, and Z in 6 days of 10 hours each. Then the ratio of their hourly pay 18

A. 15:10:6

B.

6:10:15

C.

3:4:6

D.

8:9:10

2. If (x+2)(x+3) 242+23

then

A. A-1, B-0

B. A=2,

B-3

C. A=-3, ·B=2·

D. A=-1,

B-2

E. None of those.

3. Which of the following

is a factor of x-81

13. A manufacturer

producted 900 transistors in the first week, x in the second veek, 3. in the third week and 600 in the fourth' week. If the mean for the four weeks was 825 transistors, then x is

E. 2: 3:5

21. Which of the

following diagrams gives x-5a

A.

50

A. x+9

B. x-9

c.

E

૧

14

thën

A. 206

B. 375

C. 450

D. 750

E. 825

The monthly income of Mr. Ho is $N. He

spent 2/5 of his monthly income on

rent and 1/4 of the remainder on food. He was left with $x; then x-

represents

y=x2 +x+1

E. y=cusze

37. In the figure, 0 is.

the centre of the

circle x

A. 30

B. 70.

0. 80

D. 40

E. 50

38. Which of the

following a statements is/are

true

31. In the figure, AB=b,

the area of triangle ACD=

(1) ADBD.DE (17) AB RD.BC

(III) AC CD.CB

A. (1) only

B. (II) only c. (III) only.

D. (II) and (III)

only

All of them

39 In the figure, CD-

E. None of these.

5. The coefficient of x3y

in (2x2 -3xy+4y2)(4x2 +

C. N

D. Nx 2 1 1

E. None of these.

3xy-3x2) 15.√3+/3_13x√13~ 13-13-

is

A.

B.

C. 21

D. 15

E-15

6. If 8x+21y-11 and

4x-9y--1

Ax=2

B.

then

Which of the following

statements is/are

false if 0x

2

(I)

C. 3

D. 1

E. None of these

16. a, b and c are

non-zero integers; if a+b+c=0, then the value of

(+) + (금+금)+(금)

B.

C.

C. (III) only

D. (II) and (III) only

None

8. If the length of

D. -3

E. None of these:

17. Which of the

following is not rational number?

A. log 1000

B. 3.116

tan

D. 16

E. 12+3

The length of a

rectangle is twice.

A. (1) only

B. (II) only

E. None of them

23. The quadratic

equation with roots 1+3 and a-5 is

$2 A. x+2x+8=0

18.

rectangle is increased

by 10% and the area

as its width. If the perimeter of the rectangle is x metres, then the area of the rectangle in m2 is

G.

-2x-8=

remains unchanged, then the width is decreased by

A. 9%

B. 10%

C. 11%

11

E. 918

7 are the roots

C.

2

E.

24. The following figure

shows the graph of

A2 yax+bx+c

26. If x-2 is a factor of

2x

k

A.

B. 8

C. 16 D.

E. 2.

27. If f(x) is

-12, then

polynomial and f(})=0, then which of

the following is a factor of f(x)

A. £x-3

B. 2x+3

∙C..3x-2

D. 3x+2

E. (x-3)

2

28. If 6x+x-2 is a

factor of f(x), then

A. £(-/-)-(-)-0

B. f(~)~f(3)

C. 1(-) -£(-)=0

A. in sin30°

8. 3b tan30

C. b tan50°

2

D. th2 (siu50-sin20°)

2

E. Ab (tan50-tan20°)

32. Which of the

statements

follow rue

(I) tan(90°+6)

(II)

--1/tane cos(-e)=cosü (III) sin20=2si14.

A. (I) only

B. (II) only

C. (IIT) only

D. (1) and (11) only E. All of them

53. If tan (90-45°)

then

B. 22 30

15

D. 755

E. 60

54. Which of the

豆

B

C. 9

D. 16

E. 7

40. In the figur

B. 180x.

C. 90-x

7321

D. 90-x E. x

following is correct

in

A.

1" 20=1

B. sin(90 +0)=cose

The height of a right circular cone is increased by 200% and its base radius is increased by 100%. The ratio of the volume of the cone so formed to that of the original cone is.

27:1

B 8:1

C. 6:1

D. 12:1

D. f(-2)=f(}) =0

C. sin 20 cos ge=1 D. tan450-10

E. 35:1

42.

sin 30

E. 1(2) -f(3) =0

29. If x+1 is a factor of

ax

A, d=0·

B. d=1

then

F. sin20-sin50-sin

35. 1+sin

A.

B. 1

C. 1+

D. -1

E. 1-T

In the figure, if the equation of the staight line is xcos¿+ysing-p=o, then

↓

~14x+49=0.

+14x+49=0

--49=0°

10. If x+yma and xy=h

then (x-3)2-

A.

ab

P

E.

19. The average age of a class of n boys is x years. Three new boys join the class whose ages are (x-1), (x+1) and (x+2) years, What is the new average age of the class?

f

Which of following NOT correct.

A. * <0

c', a-c=b-d

D. a+c b+d

E. a+bc+d=0

30. If a > 0, b < 0 and

e 0, which of the following graphs represents ax+by+c=0)

36. The figure shows part

of the graph of

50°

B. 60

C. 120"

De 150°.

of

á straight lingot,

inclination 155"

passes through (1,2) [has the equation.