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Form 1-3 Chapter 1 Algebraic Expressions
Trial 2012
1. Melaka
i. π(π + π) β (π β π)2
A 3ππ β π2
B π2 β π π
C π πβ π2
D π2 β 3π π
Chapter 2 Algebraic Fractions
Trial 2012
1. Melaka
i. Express 4π+3
5πβ
2ππβ6π
10π2 as a single fraction in its simplest form.
A 3π+6
5π
B 3πβ6
5π
C π+2
5π
Chapter 3 Linear Equation
Trial 2012
1. Melaka
i. Given 2π+1
2β
5βπ
4= 3 , find the value of π.
A 2
B 3
C 5
D 6
Chapter 3 simultaneous linear equations
Trial spm 2012
1. Melaka
i. Find value of p and of q that satisfy the following simultaneous linear equations:
1
2π + 3π = 5
π + 4π = β20
Chapter 6 Linear Inequalities
Trial 2012
1. Melaka
i. List all the integer π that stratify both simultaneous linear inequalities 3π β
2 β₯ 7 and π + 18 > 3π + 2
A 3,4,5,6,7
B 3,4,5,6,7,8
C 4,5,6,7
D 4,5,6,7,8
Chapter 5 Algebraic Formulae
Trial 2012
2. Melaka
i. Given that 3π = ββ4
2ββ, express β in terms of π.
A β =2π+4
1+π
B β =2π+4
πβ1
C β =6π+4
1+3π
D β =6πβ4
3πβ1
Chapter 7 Indices
Trial 2012
1. Melaka
i. 5β2
3 =
A β1
β53
B β1
β52
C 1
β53
D 1
β52
ii. Simplify
Chapter 8 Arcs and Sectors
Trial 2012
1. Melaka
i. Sector πππ ,sector πππ and semicircle πππ with Centre π
Using π =22
7 calculate
(a) The perimeter in cm of whole diagram.
(b) The area in cm2 of the shaded region.
Chapter 9 volume and surface Areas
Trial 2012
1. Melaka
i. A cone with a diameter of 16 cm. A hemisphere of radius 6 cm is removed
from the cone.
Given that volume of the remaining solid 1506
7 ππ3 using π =
22
7, calculate the
height in cm of the cone
Chapter 10 Polygons
Trial 2012
1. Melaka
i. PQRST is a irregular pentagon and USV is a equilateral triangle
Find the value of π₯π.
A 107
B 115
C 120
D 162
Chapter 11 Transformation I & II
Trial 2012
1. Melaka
i. Point π undergoes a rotation of 180πabout centre ( 0 , 1 ).
The coordinates of the image of point π under rotation
A ( β 2, β 5 )
B ( β 5, β 2 )
C ( 5, β 2 )
D ( β2 , 5 )
ii. Under an enlargement, the area of an object is 63 ππ2 and the area of its image
7 ππ2
Find the scale factor of enlargement
A 3
B 9
C 1
9
D 1
3
Chapter 12 Statistic I & II
Trial 2012
1. Melaka
i. A pie chart which shows the number of members in three society in SMK Bestari
Indah. The members of Science & Mathematics society are 45 student and the
members of English society are 50 students
Find the number of students in Robotic society.
A 10
B 15
C 25
D 30
ii. Bar chart which the scores of a group of students in a contest
Determine the score mode
A 2
B 4
C 40
D 45
Form 4 Chapter 1 standard form
Trial 2012
1. Melaka
i. Which number is rounded off correctly to three significant figures?
Number Round off correct to three significant figures
A 0.08567 0.0857
B 0.08575 0.0857
C 94120 94200
D 94250 94200
ii. Given that 12,630,000 = π π₯ 10π ,where π π₯ 10πis a number in standard
form. State the value of m and of n
A m=1.263 ,n = -7
B m=1.263, n = 7
C m=12.63, n= -7
D m=12.63, n= 7
iii. 4.3 Γ 104 β 2.5 Γ 103
A 4.05 Γ 104
B 4.05 Γ 103
C 1.80 Γ 104
D 1.80 Γ 103
iv. 0.00056
40000=
A 1.4 Γ 10β9
B 1.4 Γ 109
C 1.4 Γ 10β8
D 1.4 Γ 108
Chapter 2 quadratic expression and equations
Trial 2012
1. Melaka
i. Solve the following quadratic equation:
4π(π + 1) = 2 β 3π
Chapter 3 sets
Trial 2012
1. Melaka
i. It is given that the universal set, π = π½ βͺ πΎ βͺ πΏ , π½ β π and πΎ β© πΏ β π.
Which Venn diagram represents these relationship?
ii. It is given that set π = π½ βͺ πΎ βͺ πΏ, set π = { π, π, π, π, β} set π = {π, π, π, π, π} and set π = {π, π, π, β} .
List all the elements of set π βͺ (π β© π β²). A {π, π, π}
B {π, π, π, π}
C {π, π, π, π, β}
D {π, π, π, π, π, β}
iii. Venn diagram showing the number of elements in sets πΎ, πΏ and π. Given
that π = πΎ βͺ πΏ βͺ π and π(πβ²) = π(πΏ β© π).
The value of π₯ is
A 4 B 5 C 7 D 9
Chapter 4 Mathematical Reasoning
Trial 2012
1. Melaka
i. Determine whether each of the following sentences is a statement or non-statement.
(i) 2 + 5 = 10 (ii) 3 + π₯ = 7
ii. Complete the following statement using the quantifier "all" or "some", to make
it a false statement.
iii. It is given that the volume of a sphere is 4
3π π3
, where π is the radius of
the sphere, Make one conclusion by deduction on the volume of a sphere with radius 6 cm.
Chapter 5 The Straight Line
Trial 2012
1. Melaka
i. Given that the straight line 2π¦ + π₯ = 6 passes through point (π, β4). Find
the value of π.
A β14 B β5
C 5
D 14
ii. Given that the straight line π¦ = 3π₯ + 5 is parallel to straight line 2π¦ + ππ₯ =
8. Find the value of π.
A β6 B β3
C 3 D 6
iii. π is the origin. Point π lies on the π¦ β ππ₯ππ . QR is parallel to the π₯ β ππ₯ππ and
straight line π π is parallel to straight line ππ. The equation of straight line ππ is
π₯ + 3π¦ = 12.
(a) State the equation of the straight line ππ .
(b) Find the equation of the straight line π π and hence, state its π¦ β πππ‘ππππππ‘.
Chapter 6 Statistic III
Trial 2012
1. Melaka
i. The data shows the masses, in kg, of luggage for a group of 40 tourist.
Based on the data complete Table in the answer space.
Class interval Frequency Midpoint
10 - 14
Based on Table calculate the mean mass of the luggage
By using a scale of 2 cm to 5 kg on the horizontal axis and2 cm to 1tourist on the
vertical axis, draw a frequency polygon for the data
Based on the frequency polygon state the number of tourist who have the luggage mass is more than 30 kg.
Chapter 8 circles III
Trial 2012
i. πππ is a tangent to the circle πππ with centre π at π
Find the value of π₯Β°
A 13
B 38
C 52
D 64
Chapter 9 trigonometry II
Trial 2012
1. Melaka
i. Right angled πππ and πππ. ππ = π π.
Given sin π₯ =3
5 and π π = 25πΆπ, calculated the length in cm of ππ.
A 12
B 15
C 25
D 45
ii. Sailing boat. The sail πππ has a shape of right angled triangle, ππππ and
π ππ are a straight light
Given that ππ = 9π and cos π¦ = β3
5, find the height in π of ππ.
A 2.25
B 6.75
C 8.75
D 11.25
iii. Which graph represents part of = cos 2π₯Β° ?
Chapter 10 Angles of elevation and depression
Trial 2012
1. Melaka
i. Vertical flag on a horizontal plane. π and π are two points on two flags
Point π is vertically below π at same level as π. Point π is vertically above π, at the
same level as π. Which diagram shows the angle of depression , , of point π from
point π
ii. A group of scouts in a camp. The angle of elevation of kite from instructor eve
is 48Β°.
It is given that the base of the tree is 15 m from them and the kite are hang-up 30 m on
the tree above the horizontal ground.
Calculate the eye level of the instructor in m from ground
A 13.34
B 13.51
C 16.49
D 16.65
Chapter 11 lines and planes in 3-D
Trial 2012
1. Melaka
i. A cuboid with rectangle πππ π as its horizontal base.
Name the angle between the plane πππ and the plane πππ π. A β πππ
B β πππ
C β πππ
D β πππ
ii. Right angle with a horizontal rectangular base πΈπΉπΊπ». Trapezium πΈπ»π½πΎ is
the uniform cross section of prism
a) Name the angle between the plane π½πΈπ and the plane π½π»πΊπ
b) Hence, calculate the angle between the plane JEM and the plane JHGM
Form 5 Chapter 1 number bases
Trial 2012
1. Melaka
i. What is the value of the digit 4 , in base ten , of the number 14305
A 25
B 100
C 125
D 500
ii. 1001102 + 1101012 =
A 11110112
B 11011012
C 11011102
D 10110112
Chapter 2 Graph of Function
Trial 2012
1. Melaka
i. A graph function ofπ¦ = βπ₯π + π, where π and π are integers.
Determine the value of π and of π.
A π = β3 , π = β2
B π = 3, π = β2
C π = β3, π = 2 D π = 3, π = 2
ii. On the graph in answer space, shade the region which satisfy the three
inequalities π¦ + π₯ β₯ 3, π¦ β€ 2π₯ + 3 and π₯ < 3.
iii. Complete Table 12 inthe answer space for the equation π¦ = β18
π₯ by writing
down the values of y when π₯ = β 4 πππ π₯ = 1.5 .
For this part of the question" use the graph paper. You may use a flexible curve
rule. Using a scale of 2 cm to 1 unit on the π₯ β ππ₯ππ and 2 cm to 5 units on the
π¦ β ππ₯ππ , draw
The graph of π¦ = β18
π₯ forβ4 β€ π₯ β€ 4
From the graph in 12(b), find
i. the value of y when x = 2.3
ii. the value of x when y = I I
Draw a suitable straight line on the graph in 12ft) to find all the values of x which
satisfy the equation 4π₯2 β 8π₯ = 18 for β4 β€ π₯ β€ 4
Chapter 3 Transformation III
Trial 2012
1. Melaka
i. A shows points π½(3 , 2) and straight lineπ¦ β π₯ = 2 drawn on a Cartesian plane.
(a) Transformation P is a reflection in the line π¦ β π₯ = 2
Transformation T is a translation (2
β3)
State the coordinates of the image of point J under each of the following transformations:
i. T ii. TP
iii. Two trapeziums, KLMJ and POLR drawn on a Cartesian plane
πππΏπ is the image of πΎπΏππ½ under the combined transformation VU.
Describe in full the transformation
a) U
b) V
It is given that πΎπΏππ½ represents a region of area 60 π2, Calculate the area in
π2, of the region represented by the shaded region.
Chapter 4 Matrices
Trial 2012
iv. Melaka
i. If π β (2 β31 0
) = (4 02 β1
)then matrix π =
A (β2 β31 1
)
B (2 31 β1
)
C (6 β11 β1
)
D (6 β33 β1
)
ii. (2 β1) (β3 52 β2
) =
A (β11 8)
B (β8 12)
C (β11
8)
D (β812
)
iv. Given that π (β1 π2 5
) (5 32 β1
) = (1 00 1
), find the value of π and of π
v. Write the following simultaneous linear equations as matrix equation:
5π₯ + 3π¦ = 4
2π₯ β π¦ = β5
Hence, using matrix method, calculate the value of π₯ and π¦.
Chapter 5 variations
Trial 2012
1. Melaka
i. W varies inversely as the cube root of y. Given that the constant is k, find the
relation between w and y.
A π€ = ππ¦3
B π€ = πβπ¦
C π€ =π
π¦3
D π€ =π
βπ¦
ii. Given that πΈ β πΊ such that πΊ = 2π β 1 and πΈ = 6 express E in terms
of G
A πΈ = 9πΊ
B πΈ =πΊ
9
C πΈ =2
3πΊ
D πΈ =3
2πΊ
iii. Table shows some values of the variables π, π and π such that π varies directly
as inversely as the square root of π π π π
7 3 9
π 12 36
Find the value of m
A 1
2
B
3
7
C 8
D 14
Chapter 6 Gradient and area under a graph
Trial 2012
1. Melaka
i. The distance β time graph for journey of a car and a bus, for the period of
π‘ seconds. The graph ππ π represents the journey of the car and the graph
PQRT represents the journey of the bus. Both vehicles start at the same
location and move along the same route.
(a) State the time, in seconds, that both vehicles are at the same location
(b) Calculate the rate of change of distance, in ππ β1,of the car in the first 11 seconds.
(c) If the average speed of the whole journey of the car is three times the average
speed of the whole journey of the bus, find, in seconds, the value of t.
Chapter 7 Probability II
Trial 2012
1. Melaka
i. Some alphabet cards
A card is picked at random. Find the probability that a card with a consonant is picked.
A
2
7
B 3
7
C 4
7
D 5
7
ii. A box contains 6 pieces of red cards, 8 pieces of yellow cards and π₯ pieces of
blue cards. When a card is chosen at random from the box the probability of
getting a red card is 2
7.
Find the value of π₯
A 2
B 5
C 7
D 14
iii. Name of teachers from Teachers school and a Boarding School attending a
singing contest for 2012 teacher day
Two teachers are required to sing an English song.
(a) A teacher is chosen at random from the Boarding School and then another teacher is chosen at random also from the Boarding School. (i) List all the possible outcomes of the event in this sample space. (ii) Hence, find the probability that a male teacher and a female teacher are
chosen. (b) A teacher is chosen at random from the male group and then another teacher is
chosen at random βfrom the female group. (i) List all the possible outcomes of the event in this sample space. (ii) Hence, find the probability that both teachers chosen are from the Technical
School.
Chapter 8 bearing
Trial 2012
2. Melaka
i. Points π and π lie on a horizontal plane. The bearing of π from π is 060Β°. Which diagram shows the correct locations of π and π ?
Chapter 9 Earth as a Sphere
Trial 2012
1. Melaka
i. π is the North Pole, π is the South Pole and π is the centre of the earth. π
and π are two points on the Greenwich Meridian. The latitude of P is 70Β°. and
the latitude of I is50Β°π.
Which diagram shows the correct locations of P and Q?
ii. π·(30Β°π, 50Β°π), πΉ(30Β°π, 25Β° π), G and H are four points on the surface
of the earth. DG is a diameter of the earth.
State the location of point G.
Calculate the shortest distance, in nautical miles, from D to the North Pole
measured along the surface of the earth.
H is 5400 nautical miles due south of F measured along the surface of the
earth.
Calculate the latitude of H.
An aeroplane took off from D and flew due west to .F and then flew due south
to t. The average speed for the whole flight was 450 knots.
Calculate the total time, in hours, taken for the whole flight.
Chapter 10 Plan and Elevation
Trial 2012
1. Melaka
i. A solid right prism with rectangular base ABCD on a horizontal table. ABIMGF
is its uniform cross section. The rectangle ADEF is an inclined plane and the
rectangles EFGH and JKLM are horizontal. GM, HJ, LB and CK are vertical
edges. π»π½ = πΎπΆ = 3ππ " πΈπ» = π½πΎ = 2 ππ.
Draw to full scale the plan of the solid
A solid in the form of a cuboid is bored and taken out from the solid in Diagram 15(i). The remaining solid is as shown in Diagram 15 (ii).
ππ = 4 ππ, π π = 2 ππ πππ π΄π = 2 ππ.
Draw to fulI scale
(i) The elevation of the solid on a vertical plane parallel to AB as viewed from X
(ii) The elevation of the combined solid on a vertical plane parallel to BC as
viewed from Y.