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?