The document contains information about solving equations and calculating values based on ratios, percentages, areas, perimeters, and other geometric concepts. It provides 14 math word problems and questions with multiple choice answers to choose from. The high-level information is that it tests a variety of basic math and geometry skills through multi-step word problems.

1. 11 x + =
3 9
, the value of x is
1 Which of the following number is ‘three hundred
twenty thousand six hundred and fifty three ? A. 6 C. – 7
B. 7 D. – 6
A. 32653 C. 326530
B. 320653 D. 3200653 12
w
=
2
, the value of w is
5 10
2 The place value of digit 2 in the number 826357 is
1
A. hundred C. ten thousand A. 1 C. 2
B. thousand D. hundred thousand 5
B. 10
D. 0
3 −+ =
9 12
A. −3
C. 4 13 The ratio of the number of red marbles to the number of
B. 3
D. 21
white marbles is 5 : 7. The total number of the
marbles is 288. Calculate the difference between the
number of white and red marbles.
4 − − =
4 4
A. 24 C. 120
A. 8
C. 0
B. 1 D. −8
B. 48 D. 168
5 2 − 3)+ 4 )
(− (−
14 Given that x : y = 2 : 7, calculate the value of x if
A. 1 C. 9
y = 28.
B. −5
D. 3
A. 2 C. 8
6 − − 6 )− 4 )
9 (− (+
B. 4 D. 9
A. 7
C. −11
B. 1 D. −7
15 The diagram shows a trapezium.
7 − × 4)
2 (−
5 cm
4 cm
A. 7
C. −8
B. 8
D. −7
11 cm
8 5 −×
3 4
Calculate the area, in cm2, of the trapezium.
A. − 28
C. 7
A. 28 C. 38
B. −7
D. 28
B. 32 D. 44
9 The diagram shows a sequence of numbers.
16 In the diagram, PSR is a straight line.
4, 8, 12, 16, y, 24, 28
0.9 m P
The value of y is R S
A. 19 C. 21
1.5 m
B. 20 D. 22 1.3 m
Q
10 The diagram is part of a number line. Find the length, in m, of PR.
A. 1.2 C. 1.7
K −8 0 L
B. 1.4 D. 1.8
What is the value of K and of L ?
A. K = −4, L = 12 C. K = −10, L = 8
B. K = −9, L = 6 D. K = −12, L = 12
1

2. 17 In the diagram, SQR and PQT are right angled 21 The diagram shows two points, G and H, on a
triangles. PQR and SQT are straight lines. The length Cartesian plane.
of QR is twice the length of PQ.
y
S 6
25 cm G
7 cm
Q 4
P
5 cm R 2
H
T x
O 2 4 6 8
Calculate the length, in cm, of PT.
Calculate the distance between the point G and the
A. 12 C. 17
point H.
B. 13 D. 24
A. 8
units C. 52
units
18 The diagram shows four points on a Cartesian plane.
B. 20
units B. 72
units
y
4
A B 22 In the diagram, P and Q are points on a Cartesian
2
plane.
x
−4 −2 O 2 4 y
−2 P 8
D C
−4 6
Which of the point A, B, C and D represents 4
(−3, 2) ?
2
19 The diagram shows points marked on a grid of equal x
squares with sides of 1 unit. −8 −6 −4 −2 O 2 4 6
−2
C Q
B
If M is the midpoint of PQ, then the coordinates of M
is
P
A A. (−2, 4) C. (3, −1)
D
B. (−1, 3) D. (4, −2)
Which of the point A, B, C or D, is 5 units from the
point P ?
20 In the diagram, L is the midpoint of the straight line
KM. 23 In the diagram, Q is the midpoint of the straight line
PR.
y
K (−2, 10) y
L (2, 3) R (h, 9)
x Q (5, 7)
O P (2, 5)
M (h, −4) x
O
Find the value of h.
The value of h is
A. 4 C. 7
A. 7 C. 10
B. 6 D. 8
B. 8 D. 12
2

3. 24 The diagram shows two squares, PQTU and QRST, of 27 The diagram shows a circle with centre O.
the same size. UQS is a semicircle with centre T and
M
PQR is a straight line.
210°
P Q R
O
N
U T S
1
X is the locus of a point which moves such that its The radius of the circle is 10 cm. Calculate the
2
distance from T is always constant. Y is the locus of a
point which moves such that its perpendicular distance length, in cm, of the minor arc MN. (Use π =
line PQR is always constant. Which of the following 22
points are the intersection of locus X and locus Y ? 7
)
A. Q and S C. U and S
55 1155
B. U and Q D. P and R A. 2
C. 8
77 1617
25 In the diagram, PQRS is a square, PQRT is a quadrant B. D. 8
2
of a circle with centre Q and PSRV is a quadrant of a
circle with centre S.
28 In the diagram, POR is the diameter of circle PQR.
S R
T Q
A
B D
C V O
P R
P Q
5 cm
X is the locus of a point which moves such that its Given that PQ = QR and PR = 14 cm. Calculate the
distance from Q is always 5 cm. Y is the locus of a 22
area, in cm2, of the shaded region. (Use π = )
point which moves such that its distance from PS and 7
RS is always constant. Which of the point A, B, C or
D, is the intersection of locus X and locus Y ? A. 56 C. 105
B. 93 D. 142
26 The diagram shows a square JKLM.
J K
M L 29 The diagram shows a circle with centre O. The length
of the minor arc PQ is 3.3 cm.
JL is the locus of a moving point X in JKLM. Which
statement describe JL correctly ? P
A. Locus of X which is constant from point K 42° 3.3 cm
O
B. Locus of X which is equidistant from JK and Q
JM
Calculate the radius, in cm, of the circle. (Use π =
C. Locus of X which has a constant distance from
22
KL 7
)
D. Locus of X which is equidistant from point J
A. 2.42 C. 14.85
and point M.
B. 4.50 D. 29.70
3

4. 30 The diagram shows a circle with centre O.
B. D.
O 45° 14 cm
Calculate the area, in cm2, of the shaded region. 34 The diagram shows a right prism with right angled
22 triangle PQR as it uniform cross section.
[ Use π = 7
]
P 5 cm
R
A. 105 C. 539
B. 116 D. 616 10 cm
Q 3 cm
31 The diagram shows a closed cylindrical container.
Calculate the total surface area, in cm2, of the prism.
A. 150 C. 132
Which of the following is a net for the container? B. 135 D. 119
A. C.
35 Which of the following geometric solid is a prism ?
A. C.
B. D.
B. D.
32 The diagram shows a prism.
36 The diagram shows a solid cuboid with a square base
FGHJ.
Which of the following is a net for the prism ?
J 10 cm
A. C. F
G H
The area of FGHJ is 49 cm 2. Find the total surface
area, in cm2, of the cuboid.
B. D.
A. 438 C. 378
B. 420 D. 294
33 The diagram shows a prism. The cross section of the
prism has a shape of a regular hexagon. 37 The diagram shows the net of a geometric solid.
Which of the following is a net for the prism ?
A. C. Name the geometric solid.
A. Cube C. Prism
4

5. B. Cuboid D. Pyramid
40 The diagram is a pictogram showing the number of
38 The diagram ia a bar chart which shows the number students with birthdays from July until December.
pupils in SMK Kanibongan who scored grade A in all
the subjects taken in the PMR examination for three July
consecutive years. August
Number of pupils September
18 October
16 November
14
12
10 December
The total number of students is 120. Calculate the
8
number of students with birthday after September.
6
4 A. 20 C. 65
2 B. 55 D. 85
0 Year
2001 2002 2003
Girls Boys
Calculate the difference between the total number of
boys and the total number of girls over the three years
A. 2 C. 6
B. 4 D. 10
39 The diagram is a bar chart showing the number of new
vehicles registered over four days.
Number of new vehicles
Day
Monday Tuesday Wednesday Thursday
The total number of new vehicles registered on
Wednesday and Thursday is 56. Calculate the total
number of new vehicles registered on Monday and
Tuesday.
A. 52 C. 64
B. 60 D. 68
5