1978-04-11 — Page 26

頁二第張七第日五初月三年午戊惠

WAH KIU YAT PO

報日僑華

育教僑華

A. 105:

B. 22°301

c. 15°

MHFA· Dale Déess'

B

1978

中學會考題預習專欄

B. 75958

E. 60"

34. Which of the following is

correct in general ↑

A. sin29 + Cos29 = F

二期星

41. The height of a right

circulax cone is increased

by 200% and its base ráding is increased by 100%, The

ratio of the volume of the

Cane no formed to that of

the original cone is

A 27 : 1

8.1

日一十月四年八七九一股公年七十六國民中

R. 24

S. -24

T. Cannot be determined.

P. i

4.

S. -1

then

育教僑華

0 is the centre of the

cirela, radius 3cm and

08-5cm Find the radius

of the circle which touches

A externally and passes through. B.

6. Find the difference between

compound and 'simple' interests for $10000 et 3% p.a. for 2 years compounded yearly.

1. sin(90°, 0)

-

C

61

T. 123/98

50. Two dice are rolled, the

probability that getting

sum not less than 10 im

新數學廿八番榮家

MODERN MATHEMATICS (28)

Revision Exercise

Paper II (cont.)

D. tan450 - 10

D. 12 1

B. 35: 1

B. win20°

ain50

sin30°

35% 1 + singh

42 In the figure if the

equation of the straight

line is

P.

A..

28. The figure shows the graph

of y = mx+bx + c

ysind –

then

C.

R.

5.13

36. The figure shows part of

In the figure, H is the orthocentre of AABC, BM=MC_ If ZBAC-50". Find ZFME. (Geometry theorem need not

quoted when used)

"Which of the following is in-

correct

R>

4ac > 0

T. None of these

29. Which of the following

grapha representa y «

the graph of

-"Bin20°

singe

20 ing"

y = 2 coa

37. In the figure, 0 in the

centre of the circle

P. 30°

Q. 70-

B. 80

S. 110

T. 40

51. A bag contains six cards,

each marked with a number.

The numbers marked in the cards are 1,2,3,4,5 and 6. Two cards are drawn, the probability that the sam

is divisible by 4 iA

A 30

60°

C. 120°

D. 150°

E. 90°

43. A

straight line of incli- nation 135° and passes through (1, 2) has the equation

B.

A y

B. y

y =-x - 3

D.

Ey

44. (2x 1)2+ 4(2 − y)2= 16

ne presents a circle with

centre

(1, -2)

~H, (2, 2).

c. (1, 2)

D. (1,

E.

If A 21

radius

E.

52. 5 coins are tossed, the

probability of getting exac

19 2. heads is A. 2/5

5.1/32

c. 5/16

D. 5/32

B. 1/4

53. If fand g are functione

I such that f(x) ×

In the figure, BC/ DE; AD-2ED, If. DE»fem, find the length of BC, theorem need not be

when used).

Section B

9. A man donates $30000 each,

as scholarships to school A and B. The number of scholarship-bolders in school A is 5 less than that in school Đị but each $500 more than each in the latter school. Find

(a)how many scholarship-holders are there in School A and school B.

(b)how much does each

scholarship-holder in

school A and each in schgol Bawarded?

10. In the equation

x=-3kx+3k+8=0, k is a real

number.

(a)If the equation has equal roota, find the values of

(b)If the equation has no real

roots find the range of values of k.

arid

then the magnitude of å «

6(x) = { – x, which of the

following is the value af *(e(2)) ?

A. -2

11.

B.

C.

D. 1

E.

30. Ir a 0, b < 0 and c 20.

which of the following

represente {(x,y).

XX

31. In the figure, AB

Braphe

by+c=0]

the area of triangle ACD

A. +b2sin30°

38. Which of the following

statements is/are true

- BD. DC

(1) AD

2

(11) AB BD-BC

(III) AC CD-CB

P. (1) only

Q. (II) only.

B. (111) only

S. (11) and (III) only

T. All of them

39. In the figurè, CD

P. 48/7 9.42/8

R. 9 s. 16

T. 7

A. 10

B. 126

c.√54

E. 10

+√34

46. In the figure, ABC is ́ an

isoceles triangle with ÂB ■AC, if Dis

then he mid-point of BC,

of the following statements is/am true

Δ

(1) AB =

AC

(11) AÐ » 3(AB + AC)

(111) AB 5C >

P. (1) only

Q. (11) only

R. (1) & (III)only

S. (1) & (11) only

T. (I) only

47. The shaded region in

the figure is

40. In the figure, Y.

P... x

Y. (x,y):12+52>1 and x+y>1

Q. (1,3);x2+y2>1 and 1+941

B. b tan30"

C. th2 tan50°

D.

(sin50°- a£ï20°)

E. 4b2 (tang 0°- tan20°)

32 Which of the following

statements is/are trus (1) tan(90°+ 9) - tanú

(II) cos (~8)

" cost

(111) sin20 × 28in@

A. (1) only

B. (II) only

¤. (111) only “

D. (1) and (II) only

·E. 'All of them

33. If tha(8 45°) =

theh 0 -

1.7321

R. 90

10. 180.

3. 90

T. ix

R. (1,7):x2+y2<1 and x+7>1

9.

(x,y):x2+y2<<1 and x+y<1

T. (x,y): x2+241

or. x+y> 1

48. If ŭ is a unit vector,

then a (L.)

P. 241

9. -247

Ju and ☎ - -4 ti

54, L1RB is a sure

jective function, where

f(x) = 26083x

and it is the set of real

numbers, then B-

A. {y 1-6 £y 26]

B. (y = -3 sy≤ 3]

C. {y = −253 € 2 ] D. {y + -1dy ≤ 1}

E.

R

數學(廿八)女長波

Mathematica 28

Exercise 14

Anewer All questions in

Section A and any Six queationa

in Section B..:

Section A.

1. If p and q be the roots of

2

x2+2x+6=0, find the value

of 2.

2. If a pair of shoes is sold for $270, the loss is 10%, If a gain of 10% is intended, bow much must it be sold?

3. If x-30° find the value of

4

(1+sinx+ √1-sinz

Solve the equation,

3m

In the figure, AQ-BP, AY-CX and RQ-BY; RQ//CX and KB; PQ=RF?• HC. Show that a)ABPQ and ACXY are 11gram, (b)Area of ABPQ-Ares of ACXY. 12.ABCD is a toapezium with

parallel sides AD and BC, The diagonals AC, BD cut at 0. From 0 a straight line is drawn parallel to the base and, cute AB, CD respectively at E and F. (a)Prove that EO-OF.

(b)IP AD-8cm, BC-12cm, find

the length of EF.

13.From point A dug east of

tower, the angle of elevation of the tower is 45, and from another point B $60′′E of the tower, the angle of elevation is If A and B are 471m apart, find the height of the tower.

30.

14.The ath term of an A.P. n and the nth term is m

Pind where afb.

(a) the common - Frenca of

this A.P. (b)the 1st term of this A.P.

of (min)th term.

15.If the surface of a soap bubble increases by 214, find the percentage increase in (a) its diameter, (b) its volume.

16. Five men agreed to complete

a piece of work in 48 days. working 8 hours a day.

One ceased work at the end of 12 days and a second at

The the end of 15 days. rest then agreed to work

9 hours

day. By what

percentage (to the nearest

percent) must they increase their rate of work to finish in the specified time?