2. SULIT 2 50/2
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
RELATIONS
1 m n m n
a a a +
× =
2 m n m n
a a a −
÷ =
3 ( )m n mn
a a=
4 Distance = 2 2
2 1 2 1( ) ( )x x y y− + −
5 Midpoint
( , )x y =
+
2
21 xx
,
+
2
21 yy
6 Average speed =
distance travelled
time taken
7
sum of data
Mean =
number of data
8 Pythagoras Theorem
2 2 2
c a b= +
SHAPE AND SPACE
1 Area of rectangle = length × width
2 Area of triangle =
1
base height
2
× ×
3 Area of parallelogram = base height×
4 Area of trapezium =
1
sum of parallel sides height
2
× ×
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3. SULIT 3 50/2
5 Circumference of circle = 2d rπ π=
6 Area of circle = 2
rπ
7 Curved surface area of cylinder = 2 rhπ
8 Surface area of sphere = 2
4 rπ
9 Volume of right prism = cross sectional area × length
10 Volume of cuboid = length × width × height
11 Volume of cylinder = 2
r hπ
12 Volume of cone =
21
3
r hπ
13 Volume of sphere =
34
3
rπ
14 Volume of right pyramid =
1
3
× base area × height
15 Sum of interior angles of a polygon = ( 2) 180n − × o
16
arc length angle subtended at centre
circumference of circle 360
= o
17
area of sector angle subtended at centre
area of circle 360
= o
18 Scale factor, k =
PA
PA
′
19 Area of image = 2
area of objectk ×
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4. For
Examiner’s
Use
SULIT 4 50/2
Answer all questions.
1 Calculate the value of
3 3 3
1
16 8 4
÷ − ÷
and express the answer as a fraction in its lowest
term.
[2 marks]
Answer:
2 Calculate the value of
3
5.48 ( 6)
4
− × − − and express the answer as a decimal.
[2 marks]
Answer:
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2
2
2
1
5. For
Examiner’s
Use
SULIT 5 50/2
3 (a) Find the value of 3
0.343−
(b) Calculate the value of ( )
2
3
( 3) 169− +
[3 marks]
Answer:
(a)
(b)
4 In Diagram 1, JKL and LMN are right angled triangles.
Given that
3
cos
5
x = .
Find (a) the length of LM
(b) tan y
[3 marks]
Answer :
(a)
(b)
[Lihat sebelah
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3
3
3
4
K
J
L M
N
25 cm
15 cmx°
y°
10 cm
DIAGRAM 1
6. For
Examiner’s
Use
SULIT 6 50/2
5 In Diagram 2, triangle P′ is the image of the triangle P under a transformation V.
Describe in full the transformation V.
[3 marks]
Answer:
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3
5
DIAGRAM 2
0 2 4 6 8 10 12
12
10
8
6
4
2
P
P′
x
y
7. For
Examiner’s
Use
SULIT 7 50/2
6 (a) Diagram 3 in the answer space shows J′ is the image of J under a certain
translation. State the translation.
(b) On the diagram in the answer space, draw the image of quadrilateral ABCD under
a 90° anticlockwise rotation about the point (4, 3).
[3 marks]
Answer :
(a)
(b)
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3
6
J′
J
DIAGRAM 3
0 2 4 6 8 10
10
8
6
4
2
x
y
•
•
C
B
A
D
8. For
Examiner’s
Use
SULIT 8 50/2
7 Express
2
6
4 12
d d
e de
−
− as a single fraction in its simplest form.
[3 marks]
Answer :
8 The data below shows part of the number of goals scored by the 32 teams in the first
rounds of the World Cup 2006.
1 2 0 3 0 2 1
2 1 2 1 1 0 2
0 3 1 2 3 3 3
2 0 0 1 0 0 0
2 0 1 3 1 1 1
3 0 2 1 2 3 1
(a) Using the above data, complete the tally chart in the answer space.
(b) State the mode.
[3 marks]
Answer :
(a) Score Tally Frequency
0
1
2
3
(b)
9 Simplify 2
(2 3) 3(3 4 )a a− − +
[2 marks]
Answer :
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3
8
3
7
9. For
Examiner’s
Use
SULIT 9 50/2
10 List all the integer values of m which satisfy both the inequalities 7 2 3m− ≥ and
2 4m > − .
[3 marks]
Answer:
11 Given
2 1
4
64
n
= . Calculate the value of n.
[2 marks]
Answer:
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2
9
3
10
10. For
Examiner’s
Use
SULIT 10 50/2
12 Simplify
1 3
4 22 2
(4 )qp q p
−
÷ .
[3 marks]
Answer :
13 Given that
2
2
18
2
F m
T
= . Express T in terms of F and m.
[3 marks]
Answer:
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3
12
2
11
11. For
Examiner’s
Use
SULIT 11 50/2
14 Solve each of the following equations.
(a) 7 5 2u u+ =
(b)
3
(4 8) 7
2
w w− + =
[3 marks]
Answer:
(a)
(b)
15 Diagram 4 in the answer space shows a rhombus. S, X and Y are three moving points in
the diagram.
(a) S is the point which moves such that its distance from point A and point C are the
same. By using the letters in the diagram, state the locus of S.
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3
13
3
14
12. For
Examiner’s
Use
SULIT 12 50/2
(b) On the diagram, draw
(i) the locus for the point X that is constantly 2 cm from the line AC,
(ii) the locus for the point Y that is constantly 4 cm from the point A
(c) Hence, state the number of intersection points of the locus of X and the locus of Y.
[5 marks]
Answer:
(a)
(b)
`
(c)
16 Factorise completely :
(a) 2
4 8m m n−
(b) 2
(3 ) 4 2y y y− − +
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5
15
D
C
B
A
DIAGRAM 4
13. For
Examiner’s
Use
SULIT 13 50/2
[3 marks]
Answer:
(a)
(b)
17 Diagram 5 in the answer space shows polygon ABCDEFG and straight line PQ drawn
on a grid of equal squares.
Starting from the line PQ, draw polygon PQRSTUV which is congruent to polygon
ABCDEFG.
[2 marks]
Answer:
18 Set squares and protractors are not allowed for this question.
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3
16
2
17
P
R
Q
DIAGRAM 6
S
60°
DIAGRAM 5
BA
C
D
E
F
G
P
Q
14. For
Examiner’s
Use
SULIT 14 50/2
(a) Using only a ruler and a pair of compasses, construct quadrilateral PQRS as
shown in Diagram 6 using the straight lines PS and SR provided in the answer
space.
(b) Based on the diagram constructed in (a), construct QT, angle bisector of the
∠ PQR such that point T lies on the line PS. Measure the length QT.
[5 marks]
Answer:
19 The pictograph below shows the number of cakes sold by a school canteen within a
week.
Monday
Tuesday
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5
18
RS
P
15. For
Examiner’s
Use
SULIT 15 50/2
Wednesday
Thursday
Friday
Key : represents 10 cakes
Draw a line graph in the answer space to represent all the information in the pictograph
above.
[3 marks]
Answer:
20 Use the graph paper given to answer this problem.
Table 1 shows the value of two variables, x and y of a function.
x −4 −3 −2 −1 0 1 2
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3
19
3
19
Day
Numberofcake
MON TUE WED THU FRI
120
100
80
60
40
20
16. For
Examiner’s
Use
SULIT 16 50/2
y 5 0 −3 −4 −3 0 5
By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 unit on the y-axis,
draw the graph of the function on the graph paper provided in the answer space.
[4 marks]
Answer:
(Refer to graph on page 17)
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4
20
TABLE 1
