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Transcript of smk taman tasik
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Answer all questions.
1 Round off 0.052784 correct to three significant figures.
A 0.053
B 0.0528
C 0.05280D 0.052800
24
5.18 10
v !
A 5180000B 5200000
C 0.000518D 0.000520
3 The area of a rectangular oil palm estate is 242km . Its length is 2800 m. Find the width, in
m, of the oil palm estate.
A 41.5 10v
B 31.5 10v
C 51.2 10v
D 61.2 10v
424 ( 3 ) (3 ) x x y x y !
A2 2
12 x xy y
B2 29 x xy y
C 2 25 6 x xy y
D2 25 18 x xy y
5 Given that the universal set , E F G\ ! 0E F { and G F . The Venn diagram that
represents these relationships is
A
B
\
F
G
\
F
G
\
E
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C
D
6
The diagram above shows a Venn diagram with the universal set P Q R\ ! . Which of
the following four regions A, B, C, and D represents the set ?)'( RQP
7
The diagram above shows a Venn diagram with the universal set \ ! {form five students},
setL = {students who are good in the Malay language}, andset M= { students who are good in the English Language }.
Given that n(L)= 125, n(M)= 92, n(L M )= 40 and the number of students who are not
good in both the languages are 28. Find the total number of form five students.
A 285
B 257
C 245
D 205
\
F
G E\
E
\
F G
\
E
P Q R
A B C D
L M
\
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8 It is given that the
Universal set { : 2 10, is an integer} x x x\ ! e e ,
setH= {x:xis an even number }, and
setN= {x:x>4}
The elements in the set
H N are
A 5,7,9
B 6,8,10
C 2,4,6,8
D 3,5,6,7,8,9,10
9 It is given that F= {a,b}. Find all the subsets ofF.
A {a}, {b}
B {a}, {b}, {}
C {a}, {b}, {a,b}, {b,a}
D {a}, {b}, {a,b}, {}
10 TheDiagram below shows two circles with centresM and N. PQ is a common tangent to the
circles.
M
8 cm N
6 cmP 10 cm Q
Find Tan PMN
A 78o41
B 11o19
C 44o
25
D 11o
5
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11 Inthe Diagram below, RST is a tangent to the circle centre O, at point S.
Q
100o
PO 55
o
xo
R yo
S T
The value of x + y =
A 170
B 60
C 125D 110
12 In the Diagram, PQR is a tangent to the circle centre O, at point Q. PTO, OUQand SUT are straight line.
O
S T
xo
U
50o
R P
Q
Find the value x.
A 20
B 25
C 30D 40
13 Express 358 as a number in base 5.
A. 855
B. 545C. 1045
D. 455
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P
153o
Q
R
S
27o
37o
x
14 ! 222 10111101111001
A. 110011 2
B. 1010012
C. 1001012
D. 111002
15 What is the value of the digit 3, in base 10, in the number 1324 5 ?
A. 5
B. 75
C. 125
D. 375
16 List all integers x that satisfy the inequalities xxx 3832 e .
A. -4, -3, -2, -1, 0, 1, 2, 3B. -4, -3, -2, -1, 0, 1, 2
C. -3, -2, -1, 0, 1, 2, 3
D. 0,1, 2,3
17 Given that ,31 m
my
! express m in terms of y.
A.y
ym
!
1
B.
y
ym
!
1
C.y
ym
31!
D.y
m31
1
!
18 The line PQRS in the diagram below is a straight line.
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Find the value of x .
A. 10o
B. 27o
C. 135o
D. 145o
19 In the diagram below, PQ is a straight line.
y
P
x
0 5
-3
Q
What is the gradient of PQ?
A. 5
B.3
5
C.5
3
D.5
3
20 The diagram below shows a regular pentagon ABCDE.
A
ox
E B
oy
D C
Calculate the value of xand of y.
A. x = 108o
, y = 36o
B. x = 72o
, y = 108o
C. x = 45o
, y =128o
D. x = 36o
, y = 108o
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R
S
30o
50o
xo
21 The diagram below shows a pentagon PQRST.
T
S o150 ox2 P
R ox4 o
156
Find the value of x . P
A. 15
B. 24
C. 39D. 72
22 In the diagram, PQ = RS.P
Q
What is the value of x?
A. 15
B. 25
C. 30
D. 50
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3yo
75o
2yo
23 In the diagram, PQRS is a cyclic quadrilateral.
P
Q
S
Find the value of QRS.
RA. 36o
B. 72o
C. 105o
D. 108o
24 The diagram shows O is a centre of circle.T
60o
O
ox S
U
RV
25 The table below shows the distribution of the scores of a group of pupils in an IQ test.
Score Frequency
0 0
1 2x
2 6
3 7
4 x
5 1
The mean score of the distribution is 2.5. find the value ofx.
A. 1B. 2
C. 3
D. 4
Value of x is
A. 40
B. 60
C. 70
D. 120
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26. The table shows the number of books borrowed by a group of students from a library during
a semester.
Number of books 5 10 15 20 25
Frequency 3 5 6 4 2
Calculate the mean number of books borrowed by students.
A. 14.25
B. 14.50
C. 15.00
D. 16.25
27 The diagram below shows five quadrilaterals drawn on square grids.
Which of the quadrilaterals A, B, C orD is the image ofQ under an enlargement with a
scale factor of 2?
28 The diagram below shows two triangles, P and Q, drawn on square grids.
Q is the image ofPunder an anticlockwise rotation of 90 o . Which of the points A, B, C or
D is the centre of rotation?
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29 2 !
65
32
21
31
A.
86
60
B.
107
90
C.
86
61
D.
1612
122
30 !
2
1
5
632
A. 25
B. 12310
C.
215
632
D.
26
13
52
31 Given that 23023
021 !
pp
Calculate the value of p.
A. 30
B. 2
C. -2
D. -30
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32 The table below shows some values of the variables x and y such that y varies inversely as
the square ofx.
x 1 0.5
y 3 12
Find the relation between y and x.
A. xy !
B.x
y3
!
C.2
3
xy !
D. 25xy !
33 It is given that y varies directly as the cube ofx and y =16 when x =2. Calculate the value of
x when y=54.
A. 2.5
B. 3
C. 25
D. 30
34 The table below shows some values of the variables x,y and z such that zvaries directly as y
and inversely as the square root ofx.
x 4 9
y 4 5
z 6 p
Calculate the value of p.
A. 3
B. 4C. 5
D. 6
35 There are 16 Science books, 14 Mathematics books and x History books. A book is chosen
from the cupboard and the probability of choosing a Science book is5
2. Find the value ofx.
A. 5
B. 10
C. 20
D. 40
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36 A bag contains 20 red marbles, 40 green marbles and some yellow marbles. When a marble
is randomly taken out, the probability of taking out a yellow marble is4
1. How many
marbles are there in the bag?
A. 40
B. 60C. 80
D. 120
37 Diagram below shows three points X, YandZon a horizontal plane.
It is given that Yis due south of X. What is the bearing ofZfrom Y?
A. 050o
B. 065o
C. 130o
D. 295o
38 Diagram below shows a ferry and a lighthouse. The height of the lighthouse is 35 m. The
angle of depression of the ferry from the top of the lighthouse is 45o. When the ferry moves
from Pto Q, the angle of depression becomes 25o. Calculate the distance of PQ.
A. 16.38 m
B. 37.82 mC. 40.06 m
D. 75.06 m
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39 P(70oN, 80
oE) and Q are two points on the earths surface.PQ is a diameter of the latitude
70oN. The position ofQ is
A. (70oN, 100
oW)
B. (70oN, 80
oW)
C. (70o
N, 100o
E)D. (70
oN, 80
oE)
40 The diagram below shows three points P,Q and R on the surface of the earth,
Point Q is 3024 nautical miles due east of P. R is 3600 nautical miles due north ofQ. What
is the position ofR?
A. (61oN, 106
oE)
B. (43oN, 79oE)
C. (61oN, 53
oE)
D. (43oN, 26
oE)
END OF QUESTIONS PAPER
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SKEMA MARKAH
NO JAWAPAN NO. JAWAPAN
1 B 21 B
2 C 22 C
3 A 23 B
4 D 24 C
5 A 25 B
6 D 26 A
7 D 27 A
8 A 28 C
9 D 29 B10 A 30 A
11 A 31 D
12 A 32 C
13 C 33 B
14 B 34 C
15 B 35 B
16 B 36 C
17 C 37 D
18 A 38 C
19 C 39 A
20 D 40 D