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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:
SoalanMarkah
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®
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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 a
n = a
m – n
3 (am)
n = a
mn
4 Distance = 212
2
12 y y x x
5 Midpoint
2,
2, 2121 y y x x y x
6
takentime
travelleddistancespeedAverage
7
dataof numberdataof sumMean
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
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5 Circumference of circle = πd = 2πr
6 Area of circle = πr 2
7 Curved surface area of cylinder = 2πrh
8 Surface area of sphere = 4πr 2
9 Volume of right prism = cross sectional area × length
10 Volume of cuboid = length × width × height
11
Volume of cylinder = πr 2h
12 Volume of cone =3
1πr
2h
13 Volume of sphere =3
4πr
3
14 Volume of right pyramid =3
1 × base area × height
15 Sum of interior angles of a polygon = (n – 2) × 180
16
360
centreatsubtendedangle
circleof ncecircumfere
lengtharc
17
360
centreatsubtendedangle
circleof area
sector of area
18 Scale factor, k = PA
PA'
19 Area of image = k 2 × area of object
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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 of3 1
1 0.564 2
Answer:
( 4 marks )
Number Place value Digit value
(i) 6220
(ii) 98990
(iii) 732455
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(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 )
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(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
P130
o
y o
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(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
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(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%
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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 q pq pq p
( 4 marks )
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(c) Factorise the following.
Answer:
(i) k jk 515
(ii) 21248 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 14
1kg 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 )
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(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
C D
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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
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(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°●
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7(a) State the number of line(s) of symmetry for the following shapes.
Answer:
( 3 marks )
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(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 )
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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 x x , calculate the value of x .
Answer:
( 4 marks )
B A
C
D
E
F
G
P
Q
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(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:
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( 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]
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(c) Express 3
325
x x
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 )
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(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 34
k
v, express v in terms of k .
Answer:
( 3 marks )
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END OF QUESTION PAPER
Prepared by : Mr Prakash
Verified by : Mr Kaneson
A roved b : The Princi al