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1. This question paper consists of 20 questions.
5. The maximum marks allocated for each question are shown in brackets.
NO. KAD PENGENALAN
ANGKA GILIRAN
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah
INFORMATION FOR CANDIDATES
1. This question paper consists of 20 questions.
2. Answer all questions.
3. Write your answers clearly in the spaces provided in the question paper.
4. Show your working. It may help you to get marks.
5. If you wish to change your answer, neatly cross out the answer that you have done. Then write down the new answer.
6. The diagrams in the questions provided are not drawn to scale unless stated.
7. The marks allocated for each question are shown in brackets.
8. A list of formulae is provided on pages 3 and 4.
9. A booklet of four-figure mathematical tables is provided.
10. Calculators are not allowed..
Unit Kurikulum
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 5 Circumference of circle = d = 2 r
6 Area of circle = r2
7 Curved surface area of cylinder = 2 rh
8 Surface area of sphere = 4 r2
9 Volume of right prism = cross sectional area õ length
10 Volume of cuboid = length x width x height
11 Volume of cylinder = r2 h
12 Volume of cone = 3 1
r2 h
13 Volume of sphere = 3 4
r3
14 Volume of right pyramid = 3 1
x base area x height
15 Sum of interior angles of a polygon = (n– 2) x 180
16 arc length = angle subtended at centre
circumference of circle 360
17 area of sector = angle subtended at centre
area of circle 360
18 Scale factor, k = PA’
PA
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah
Answerallquestions.
1 Calculate the value of 2 4 3
2 4 1
5 3
and express the answer as a
fraction in its lowest term. 2 marks
Answer :
2 Calculate the value of 3 2 1
( ─ 1.5 ) 0.8 and express the answer as a
decimal. 2 marks
Answer :
2 1
2
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 5
DIAGRAM 2
In Diagram 2, N is the image of M under enlargement at centre P with a scale of k.
(a) On the Diagram, mark and label point P.
(b) Find the value of k.
2 marks
Answer :
(b)
5
2 y
x M
N
-4
-2 0 2 4 6
4
-4
-2 6
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 6 Diagram 3 shows polygon ABCDEF drawn on a grid of equal squares. Shade
4 1
of the
figure ABCDEF. 2 marks
Answer :
DIAGRAM 3 E
D
C F
B A
6
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 7 Diagram 4 shows a cuboid.
DIAGRAM 4
Make a full scale drawing of the net for the cuboid on the grid in the answer space. The grid has equal squares with sides of 1 unit.
3 marks
Answer :
7
3 1 unit
4 unit
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 8 Table 1 shows the T-shirt size used by 30 students in a class.
TABLE 1
(a) Using the data, complete the frequency table in the answer space.
(b) State the mode.
3 marks
Answer :
(a)
T-shirt size Frequency
S
M
L
XL
(b)
9 Simplify
3x2
2
x5
2 2 marksAnswer : 8
3
9
2
S XL M M M S
XL M M S S L
M M L XL M M
S S L L M M
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 10 (a) Solve the inequality 5x ≤ 3
(b) List all the integer values of x which satisfy the inequalities
24x < 10 and x ≤ 4 +
5
x
4 marks
Answer :
(a)
(b)
11 Find the value of 83 2
31 [2 marks]
Answer:
12. Simplify 2
3 2n
m ÷ 5m6n4 × mn [3 marks]
Answer:
2 11
3 12
Unit Kurikulum
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 15. Diagram 5 in the answer space shows a square, TUVW. Point O is the point of
intersection of diagonals TV and UW. MON is a straight line. X and Y are two points moving inside the diagram.
On the diagram,
(a) construct the locus of X such that XM = XN.
(b) (i) construct the locus Y given that OY = 2.5 cm
(ii) mark with the symbol all the intersections of the locus of X and the locus of Y.
[5 marks]
Answer:
DIAGRAM 5
5 15
T U
V W
N M
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 16. Factorise completely:
(a) 2
9m 1
(b) 3p6q pq2q2 [3 marks]
Answer:
(a)
(b)
17. Express
n m
2 mn m
8 12 4 2
as a single fraction in its simplest form.
[3 marks]
Answer:
3 16
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 18. Set squares and protractors are not allowed for this question.
DIAGRAM 6
Diagram 6 shows a trapezium PRST and Q is a point on PR.
a) Start with the line TS given in the answer space, construct (i) the trapezium PRST
(ii) the perpendicular line TQ from T to the line PR, with Q being on the line PR, as shown in Diagram 6.
b) Based on the diagram constructed, measure the length of PT.
[6 marks]
Answer: (a) (i),(ii)
(b)
6 18 S
T
T S
R Q
P
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 19. Table 2 shows the number of gold medals won by four sports houses in a school.
Sports Houses Number of Gold Medals
Alpha 20
(b) Complete the bar chart to represent all the information given in the Table 2.
Unit Kurikulum
Jabatan Pelajaran Perak Lihat sebelah 20. Use the graph paper provided to answer this question.
Table 3 shows the values of two variables, x and y, of a function.
x - 4 -3 -2 -1 0 1 2
y 15 4 -3 -6 -5 0 9
TABLE 3
Draw the graph of the function using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 unit on the y-axis.
[4 marks]
