The document provides instructions and information for a 2-hour written examination in mathematics. It includes: 1. Instructions for students to follow such as opening the question paper when instructed and writing their name and registration number. 2. A list of common mathematical formulae that may be helpful in answering questions such as relations, shapes and space, Pythagoras theorem. 3. Ten mathematics questions testing topics like operations, algebra, geometry, trigonometry and statistics. Each question is broken down into parts with multiple steps. 4. Spaces provided for students to show their working and write their answers. 5. Information at the end about who prepared, verified and approved the question paper.

1. ARAHAN:
UJIAN BERTULIS
OKTOBER 2 Jam
1. Buka kertas soalan ini apabila diberitahu.
2. Tulis nama dan angka giliran anda pada ruang yang disediakan.
3. Jawapan anda hendaklah ditulis pada ruang jawapan yang
disediakan dalam kertas soalan ini.
4. Kertas soalan ini hendaklah diserahkan kepada pengawas
peperiksaan pada akhir peperiksaan.
Untuk Kegunaan Pemeriksa
Nama Pemeriksa:
Soalan
Markah
Penuh
Markah
Diperoleh
1 10
2 10
3 10
4 10
5 10
6 10
7 10
8 10
9 10
10 10
Jumlah 100
NAMA : ………………………..………………………………………………………...……….
ANGKA GILIRAN
SM SRI KDU®

2. 2
MATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are commonly
used.
RELATIONS
1 am
× an
= am + n
2 am
 an
= am – n
3 (am
)n
= amn
4 Distance =    2
12
2
12 yyxx 
5 Midpoint
  




 

2
,
2
, 2121 yyxx
yx
6
takentime
travelleddistance
speedAverage 
7
dataofnumber
dataofsum
Mean 
8 Pythagoras Theorem
c2
= a2
+ b2
SHAPES AND SPACE
1 Area of rectangle = length × width
2 Area of triangle =
2
1
× base × height
3 Area of parallelogram = base × height
4 Area of trapezium =
2
1
× sum of parallel sides × height

3. 3
5 Circumference of circle = πd = 2πr
6 Area of circle = πr2
7 Curved surface area of cylinder = 2πrh
8 Surface area of sphere = 4πr2
9 Volume of right prism = cross sectional area × length
10 Volume of cuboid = length × width × height
11 Volume of cylinder = πr2
h
12 Volume of cone =
3
1
πr2
h
13 Volume of sphere =
3
4
πr3
14 Volume of right pyramid =
3
1
× base area × height
15 Sum of interior angles of a polygon = (n – 2) × 180
16


360
centreatsubtendedangle
circleofncecircumfere
lengtharc
17


360
centreatsubtendedangle
circleofarea
sectorofarea
18 Scale factor, k =
PA
PA'
19 Area of image = k2
× area of object

4. 4
Answer all questions.
QUESTION 1
1 (a) Write the place value and digit value for the following underlined numbers.
Answer :
( 3 marks )
(b)(i) Calculate the value of 26 6( 16 4 9)   
Answer :
(ii) Calculate the value of
3 1
1 0.56
4 2
 
  
 
Answer:
( 4 marks )
Number Place value Digit value
(i) 6220
(ii) 98990
(iii) 732455

5. 5
(c) In a stall, the amount of durians and manggosteens sold, in kg, were in the ratio of
13 : 7. At the same time, the ratio of the mass of rambutans sold to the mangosteens
was 3 : 2. Find the ratio of the mass of durians sold to the rambutans sold.
Answer:
( 3 marks )
2 (a) List three prime numbers from 50 – 60
Answer:
( 3 marks )
(b)(i) Find the value of :
3
64
Answer:
(ii) Calculate the value of :
( 12 − 81 ) 3
Answer:
( 4 marks )

6. 6
(c) The mass of an empty box is 2 kg. However, when the box is filled up with several
cans of sardines of the same size, the mass becomes 6 kg 550 g. The mass of a can of
sardine is 650 g. How many cans of sardines are there in the box ?
Answer:
( 3 marks)
3(a) Diagram below shows an equilateral triangle, JKL. JLQ and NLM are straight lines.
Find the value of y.
Answer:
( 3 marks )
K
J
L
M
Q
N
P
130o
yo

7. 7
(b) Diagram below shows a quadrilateral PQRS
(i) Using only a ruler and a pair of compasses, construct quadrilateral PQRS as shown in
Diagram 17 using the straight lines PS and SR provided in the answer space.
(ii) Based on the diagram constructed in (a), construct QT, angle bisector of the  PQR such that
point T lies on the line PS.
(iii) Measure the length QT.
Answer : (i), (ii)
(iii)_______________ cm
(4 marks )
P
R
Q
S
60
RS
P

8. 8
(c) Table below shows the scores of school S, T, U in a Mathematics quiz. All schools
must answer 20 questions. Each correct answer will be given 3 marks whereas for
incorrect answer will be given (–2) marks.
Find the difference in scores of schools S and school U.
Answer :
( 3 marks )
School S T U
Correct
Answer 65% 90% 75%

9. 9
4(a) In Diagram below, PQRS is a rectangle and STUV is a square. Given that PQ = PT.
Express in terms of x, the area of the shaded region, in cm2
Answer :
( 3 marks )
(b) Simplify the following
(i)  524  q
(ii) )4)(4()(4 2
qpqpqp 
( 4 marks )

10. 10
(c) Factorise the following.
Answer:
(i) kjk 515 
(ii) 2
1248 m
( 3 marks )
5(a) Convert the following to the given units
Answer:
(i) 0.088 km = _____________________ m
(ii) 533mm = _____________________ cm
(iii) 77 cm = _____________________ m
( 3 marks )
(b) Kim uses 2.75 kg, 1500 g and 1
4
1
kg of flour to bake cakes, biscuits and bread
respectively in a day. She buys the flour in packets of 5 kg each. Find the number of
packets of flour she uses for 10 days
( 3 marks )

11. 11
(c) Diagram in the answer space shows a square ABCD. X and Y are two moving points
in the diagram
I) In diagram, construct
i) the locus of Y such that XA = XB
ii) the locus of Z such that YA = DA.
(II) Hence, mark with the symbol  the intersection of the locus X and Y.
Answer:
( 4 marks )
A B
CD

12. 12
6(a) In diagram below, UOT is the diameter of the circle with centre O. Given that the
radius of the circle is 5 cm.
Find the length, in cm, of ST. Leave your answer in 2 d.p.
Answer:
( 3 marks )
6(b)(i) In diagram below, O is the centre of the circle and PQR is a straight line.
Find the value of x.
Answer :
T
O
R S
U

1 cm

13. 13
(b)(ii) Diagram below shows a semicircle EFGH with centre O. Given that FG = GH
Find the value of y.
Answer :
( 4 marks )
(c) Table below shows two numbers with their prime factors.
Number Prime factors
63 3, p
90 q, 3, 5
Find the product of p and q.
Answer:
( 3 marks )
OE
G
F
H
y°
20°
●

14. 14
7(a) State the number of line(s) of symmetry for the following shapes.
Answer:
( 3 marks )

15. 15
(b)(i) Diagram in the answer space shows a Cartesian plan. Triangle ABC is rotated 90°
anti- clockwise about the origin. Draw its image
(ii) If )6,2(P is rotated under the same rotation. Find its image and mark P’.
Answer:
( 4 marks )
(c) Diagram in the answer space shows an object P and a straight line AB drawn on
square grids.
Draw the image of the object P under a reflection along the line AB.
( 3 marks )

16. 16
8(a) Diagram 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.
Answer:
( 2 marks )
(b)(i) Simplify (p2
)4
Answer:
(ii) Given that 1432
777 
 xx
, calculate the value of x.
Answer:
( 4 marks )
BA
C
D
E
F
G
P
Q

17. 17
(c)(i) List all integers of y, given -1 ≥ y > 3
(ii) Draw a number line to represent all the integer values of y that satisfy 13425  y
.
( 4 marks )
9(a) Table below shows the scores of a group of students in a quiz.
Score 2 4 6 8 10
Frequency 4 6 8 10 2
Based on the frequency table above, calculate the
(i) mode data
(ii) median data
Answer:

18. 18
( 3 marks )
(b) Table below shows the average temperature of town K from February 1st
to 7th
.
Date Temperature
1 10
2 25
3 30
4 45
5 25
6 25
7 40
On the square grid provided in the answer space, draw a line graph to
represent the information given in the table.
Answer:
[4 marks]

19. 19
(c) Express
 3
325



xx
x
x
as a single fraction in its simplest form.
Answer :
( 3 marks )
10(a) Diagram below shows two right–angled triangles PQT and QRS.
Given that sin x =
5
4
and tan y =
5
12
.
i) Calculate the value of cos y.
ii) Calculate the length, in cm, of TS.
Answer:
( 3 marks )

20. 20
(b) Table below shows the values of the variables, x and y, of a function.
x -3 -2 -1 0 1 2 3
y -32 -13 -6 -5 -4 3 22
By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 10 units 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 next page)
(c) Given that 3
4


k
v
, express v in terms of k .
Answer:
( 3 marks )

21. 21
END OF QUESTION PAPER
Prepared by : Mr Prakash
Verified by : Mr Kaneson
Approved by : The Principal