SMK RAJA PEREMPUAN,IPOH
MODUL CEMERLANG 2008/2009
Mata Pelajaran : Matematik
Tingkatan: 4
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1. x² + y² – (2x – y)² =
A. -3x²
C. -3x² + 4xy
B. -3x ²+ 2y² D. -3x² + 2y² – 4xy
m m2  4
as a single

3
6m
fraction in its simplest form.
m4
m2  4
A.
C.
6m
6m
2
m4
m 4
B.
D.
6m
6m
7. Given that 2h = h + 3,then h =
A. 1
C. 3
B. 2
D. 4
2. Express
3. Given that h- k(4 + h) = k,express h in
terms of k.
5k
5k
A. h =
C. h =
2
1 k
5k
2k  4
B. h =
D. h =
k 1
2
4. Given that p =
1 2p
1 p
1 2p
B.
1 p
A.
5.
3
5
1
53
1
35
1
D. 5
3
1
53
 
B.
10. Find all the integers x that satisfy both the
inequalities x < 7 and 13 – 4x ≤ -3 .
A. 4,5,6
C. 5,6,7
B. 3,4,5,6
D. 4,5,6,7
11.
4p – 5q = 23
2p + 3q = -5
The possible solution for the simultaneous
equations above is
A. p=3,q= -2
C. p=2,q=-3
B. p=-2,q=3
D. p=-3,q=2
C. 
6. Simplify n 3
A.
9. Find the solution of the inequality 5 – h ≤ 2.
A. h ≥ 3
C. h <-4
B. h > 4
D. h ≤ 3
=
A. 
B.
1 q
, then q =
2q
1 2p
C.
1 p
1 2p
D.
1 p
8. Given that 5(2q – 7) – (3 – 4q) = 4,then the value
of q
7
A. 7
C.
3
B. 3
D. 1
n
n
2
5
 n7 =
C.
D.
8
n
n
22
12.
3m – 2n = 5
4m = n
The value of n for the simultaneous equations
above is
A. -4
C. 1
B. -2
D. 3
13. Simplify (x – y)² + (x + y)(y – x)
A. 2y² – 2xy
C. 2x² – 2xy
B. 2y² – 2x
D. 2x² – 2y
14. Factorise 9x² - 4y²
A. (3x + 2y)²
B. (3x + 2y)(3x – 2y)
20. A dice is thrown.The event of getting a
prime number is
A. {1,3,5}
C. {2,4,6}
B. {2,3,5}
D. {1,2,3,4,5,6}
21. The number of significant figures of
0.045
C. (3x – 2y)²
C. 3
D.(2x + 3y)(2x – 2y) A. 1
B. 2
D. 4
15. Express 26 in standard form.
A. 0.26 x 10 1
C. 2.6 x 10 1
B. 2.6 x 10 1
D. 26 x 10 1
22. The diagram below is a pie chart which
shows the number of pupils who passed and
failed in a Mathematics test.
16. 3.7 x 10 5 + 67000 =
A. 4.37 x 10 5
C. 4.4 x 10 6
B. 437 x 10 5
D. 4.4 x 10 6
17. The diagram below shows a straight line
line PQ on the Cartesian Plane.
The y-intercept is
7
P
Q
F
5
A. 5
B. 7
C. (5,0)
D. (0,7)
Fail
Pass
The number of pupils who failed the test is 10.
Find the number of pupils who passed the test.
A. 10
C. 30
B. 20
D. 40
23. The table below shows the frequency
distribution of the scores obtained by a group
of 20 pupils in a quiz.
Score
18. Find the gradient of the straight line
Which passes through (1,5) and (-3,4).
1
A. 4
C.
4
9
2
B. 
D. 
2
9
19. A coin is tossed, The sample space is
A. {heads}
C. {head,tails}
B. {tails}
D. {heads,heads}
0
1
2
2
6
4
Find the mean score
A. 1.9
C. 3
B. 2.1
D. 5
Frequency
3
8
24. Convert 27.4° to degrees and minutes.
A. 27° 41’
C. 27° 40’
B. 27 °24’
D. 27° 44’
25.
(a) Round off the following numbers to 2 significant figures.
1) 80 526 : …………………….
2) 0.008326: …………………….
3) 5.076 : ……………………..
(b) Round off the following numbers to 3 significant figures.
1) 60 781 : …………………………...
2) 1.00764 : …………………………..
3) 0.052784 : …………………………..
(c) Express the following numbers in standard form.
1) 0.0713 : ……………………………
2) 60 781 : ……………………………
3) 46.000 : ……………………………
26. Factorise the following
a) x² + x – 12 =
b) 2x² – 13x + 6 =
27.
The Venn diagrams in the answer space shows the universal set
ξ = A U B U C on the diagram, shade the region which represents
( a ) Set A U C’
A
B
C
( b ) Set ( A ∩ C ) U B
A
B
C
28. . Diagram 4 shows a solid formed by joining a cuboid and half-cylinder. The radius of halfcylinder, r = 3 cm and the height, h = 14 cm. The length of the cuboid, AB = 14 cm, the width,
BC = 6 cm and the height, CF = 4 cm.
r = 3 cm
E
F
H
G
4 cm
D
C
A
14 cm
6 cm
B
Diagram 4
By using π = 22
7
Calculate the volume in cm³ of the :
(i) half-cylinder
(ii) cuboid
(iii) whole solid
29.
Diagram 1 shows three triangles ABC, DEF and GHJ on a Cartesian plane.
Diagram 1
(a)
 4 
Transformation Q is a translation  
  6
Transformation T is a reflection in the y- axis
Transformation R is a reflection in the line y = 2
State the coordinates of the image of
(i)
Point F under transformation Q
(ii)
Point E under combined transformation RQ
(iii)
Point D under combined transformation TR