Form 1-3 Chapter 1 Algebraic Expressions

Trial 2012

1. Melaka

i. 𝑛(𝑛 + 𝑚) − (𝑛 − 𝑚)2

A 3𝑛𝑚 − 𝑚2

B 𝑚2 − 𝑛 𝑚

C 𝑛 𝑚− 𝑚2

D 𝑚2 − 3𝑛 𝑚

Chapter 2 Algebraic Fractions

Trial 2012

1. Melaka

i. Express 4𝑚+3

5𝑛−

2𝑚𝑛−6𝑛

10𝑛2 as a single fraction in its simplest form.

A 3𝑚+6

5𝑛

B 3𝑚−6

5𝑛

C 𝑚+2

5𝑛

Chapter 3 Linear Equation

Trial 2012

1. Melaka

i. Given 2𝑝+1

2−

5−𝑝

4= 3 , find the value of 𝑃.

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

2𝑝 + 3𝑞 = 5

𝑝 + 4𝑞 = −20

Chapter 6 Linear Inequalities

Trial 2012

1. Melaka

i. List all the integer 𝑝 that stratify both simultaneous linear inequalities 3𝑝 −

2 ≥ 7 and 𝑝 + 18 > 3𝑝 + 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 3𝑔 = ℎ−4

2−ℎ, express ℎ in terms of 𝑔.

A ℎ =2𝑔+4

1+𝑔

B ℎ =2𝑔+4

𝑔−1

C ℎ =6𝑔+4

1+3𝑔

D ℎ =6𝑔−4

3𝑔−1

Chapter 7 Indices

Trial 2012

1. Melaka

i. 5−2

3 =

A −1

√53

B −1

∛52

C 1

√53

D 1

∛52

ii. Simplify

Chapter 8 Arcs and Sectors

Trial 2012

1. Melaka

i. Sector 𝑀𝑈𝑅,sector 𝑀𝑇𝑆 and semicircle 𝑃𝑄𝑈 with Centre 𝑀

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 𝑐𝑚3 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 𝑥𝑜.

A 107

B 115

C 120

D 162

Chapter 11 Transformation I & II

Trial 2012

1. Melaka

i. Point 𝑄 undergoes a rotation of 180𝑜about centre ( 0 , 1 ).

The coordinates of the image of point 𝑄 under rotation

A ( − 2, − 5 )

B ( − 5, − 2 )

C ( 5, − 2 )

D ( −2 , 5 )

ii. Under an enlargement, the area of an object is 63 𝑐𝑚2 and the area of its image

7 𝑐𝑚2

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 = 𝑚 𝑥 10𝑛 ,where 𝑚 𝑥 10𝑛is 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 × 104 − 2.5 × 103

A 4.05 × 104

B 4.05 × 103

C 1.80 × 104

D 1.80 × 103

iv. 0.00056

40000=

A 1.4 × 10−9

B 1.4 × 109

C 1.4 × 10−8

D 1.4 × 108

Chapter 2 quadratic expression and equations

Trial 2012

1. Melaka

i. Solve the following quadratic equation:

4𝑛(𝑛 + 1) = 2 − 3𝑛

Chapter 3 sets

Trial 2012

1. Melaka

i. It is given that the universal set, 𝜀 = 𝐽 ∪ 𝐾 ∪ 𝐿 , 𝐽 ⊂ 𝑘 and 𝐾 ∩ 𝐿 ≠ 𝜙.

Which Venn diagram represents these relationship?

ii. It is given that set 𝜀 = 𝐽 ∪ 𝐾 ∪ 𝐿, set 𝑃 = { 𝑑, 𝑐, 𝑒, 𝑔, ℎ} set 𝑄 = {𝑏, 𝑐, 𝑑, 𝑒, 𝑓} and set 𝑅 = {𝑎, 𝑏, 𝑑, ℎ} .

List all the elements of set 𝑃 ∪ (𝑄 ∩ 𝑅′). A {𝑐, 𝑒, 𝑔}

B {𝑐, 𝑒, 𝑔, 𝑓}

C {𝑎, 𝑐, 𝑒, 𝑔, ℎ}

D {𝑎, 𝑐, 𝑒, 𝑓, 𝑔, ℎ}

iii. Venn diagram showing the number of elements in sets 𝐾, 𝐿 and 𝑀. Given

that 𝜀 = 𝐾 ∪ 𝐿 ∪ 𝑀 and 𝑛(𝑘′) = 𝑛(𝐿 ∩ 𝑀).

The value of 𝑥 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 + 𝑥 = 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 𝑟3

, where 𝑟 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 2𝑦 + 𝑥 = 6 passes through point (𝑝, −4). Find

the value of 𝑝.

A −14 B −5

C 5

D 14

ii. Given that the straight line 𝑦 = 3𝑥 + 5 is parallel to straight line 2𝑦 + 𝑘𝑥 =

8. Find the value of 𝑘.

A −6 B −3

C 3 D 6

iii. 𝑂 is the origin. Point 𝑄 lies on the 𝑦 − 𝑎𝑥𝑖𝑠. QR is parallel to the 𝑥 − 𝑎𝑥𝑖𝑠 and

straight line 𝑅𝑆 is parallel to straight line 𝑃𝑄. The equation of straight line 𝑃𝑄 is

𝑥 + 3𝑦 = 12.

(a) State the equation of the straight line 𝑄𝑅.

(b) Find the equation of the straight line 𝑅𝑆 and hence, state its 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡.

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

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i. 𝑃𝑄𝑅 is a tangent to the circle 𝑇𝑄𝑆 with centre 𝑂 at 𝑄

Find the value of 𝑥°

A 13

B 38

C 52

D 64

Chapter 9 trigonometry II

Trial 2012

1. Melaka

i. Right angled 𝑃𝑄𝑅 and 𝑃𝑄𝑆. 𝑃𝑅 = 𝑅𝑆.

Given sin 𝑥 =3

5 and 𝑅𝑆 = 25𝐶𝑀, calculated the length in cm of 𝑄𝑆.

A 12

B 15

C 25

D 45

ii. Sailing boat. The sail 𝑆𝑃𝑁 has a shape of right angled triangle, 𝑀𝑁𝑃𝑄 and

𝑅𝑆𝑃 are a straight light

Given that 𝑃𝑁 = 9𝑚 and cos 𝑦 = −3

5, find the height in 𝑚 of 𝑆𝑃.

A 2.25

B 6.75

C 8.75

D 11.25

iii. Which graph represents part of = cos 2𝑥° ?

Chapter 10 Angles of elevation and depression

Trial 2012

1. Melaka

i. Vertical flag on a horizontal plane. 𝑃 and 𝑄 are two points on two flags

Point 𝑀 is vertically below 𝑃 at same level as 𝑄. Point 𝑁 is vertically above 𝑄, at the

same level as 𝑃. Which diagram shows the angle of depression , , of point 𝑄 from

point 𝑃

ii. A group of scouts in a camp. The angle of elevation of kite from instructor eve

is 48°.

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 𝑃𝑄𝑅𝑆 as its horizontal base.

Name the angle between the plane 𝑃𝑊𝑈 and the plane 𝑇𝑈𝑅𝑆. A ∠ 𝑊𝑈𝑆

B ∠ 𝑇𝑈𝑊

C ∠ 𝑇𝑊𝑈

D ∠ 𝑈𝑊𝑆

ii. Right angle with a horizontal rectangular base 𝐸𝐹𝐺𝐻. Trapezium 𝐸𝐻𝐽𝐾 is

the uniform cross section of prism

a) Name the angle between the plane 𝐽𝐸𝑀 and the plane 𝐽𝐻𝐺𝑀

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 of𝑦 = −𝑥𝑛 + 𝑚, where 𝑚 and 𝑛 are integers.

Determine the value of 𝑚 and of 𝑛.

A 𝑚 = −3 , 𝑛 = −2

B 𝑚 = 3, 𝑛 = −2

C 𝑚 = −3, 𝑛 = 2 D 𝑚 = 3, 𝑛 = 2

ii. On the graph in answer space, shade the region which satisfy the three

inequalities 𝑦 + 𝑥 ≥ 3, 𝑦 ≤ 2𝑥 + 3 and 𝑥 < 3.

iii. Complete Table 12 inthe answer space for the equation 𝑦 = −18

𝑥 by writing

down the values of y when 𝑥 = − 4 𝑎𝑛𝑑 𝑥 = 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 𝑥 − 𝑎𝑥𝑖𝑠 and 2 cm to 5 units on the

𝑦 − 𝑎𝑥𝑖𝑠, draw

The graph of 𝑦 = −18

𝑥 for−4 ≤ 𝑥 ≤ 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 4𝑥2 − 8𝑥 = 18 for −4 ≤ 𝑥 ≤ 4

Chapter 3 Transformation III

Trial 2012

1. Melaka

i. A shows points 𝐽(3 , 2) and straight line𝑦 − 𝑥 = 2 drawn on a Cartesian plane.

(a) Transformation P is a reflection in the line 𝑦 − 𝑥 = 2

Transformation T is a translation (2

−3)

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

𝑃𝑂𝐿𝑅 is the image of 𝐾𝐿𝑀𝐽 under the combined transformation VU.

Describe in full the transformation

a) U

b) V

It is given that 𝐾𝐿𝑀𝐽 represents a region of area 60 𝑚2, Calculate the area in

𝑚2, of the region represented by the shaded region.

Chapter 4 Matrices

Trial 2012

iv. Melaka

i. If 𝑀 − (2 −31 0

) = (4 02 −1

)then matrix 𝑀 =

A (−2 −31 1

)

B (2 31 −1

)

C (6 −11 −1

)

D (6 −33 −1

)

ii. (2 −1) (−3 52 −2

) =

A (−11 8)

B (−8 12)

C (−11

8)

D (−812

)

iv. Given that 𝑘 (−1 𝑚2 5

) (5 32 −1

) = (1 00 1

), find the value of 𝑚 and of 𝑘

v. Write the following simultaneous linear equations as matrix equation:

5𝑥 + 3𝑦 = 4

2𝑥 − 𝑦 = −5

Hence, using matrix method, calculate the value of 𝑥 and 𝑦.

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 𝑤 = 𝑘𝑦3

B 𝑤 = 𝑘∛𝑦

C 𝑤 =𝑘

𝑦3

D 𝑤 =𝑘

∛𝑦

ii. Given that 𝐸 ∞ 𝐺 such that 𝐺 = 2𝑚 − 1 and 𝐸 = 6 express E in terms

of G

A 𝐸 = 9𝐺

B 𝐸 =𝐺

9

C 𝐸 =2

3𝐺

D 𝐸 =3

2𝐺

iii. Table shows some values of the variables 𝑝, 𝑞 and 𝑟 such that 𝑝 varies directly

as inversely as the square root of 𝑟 𝑝 𝑞 𝑟

7 3 9

𝑚 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 – time graph for journey of a car and a bus, for the period of

𝑡 seconds. The graph 𝑃𝑅𝑆 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 𝑚𝑠−1,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 𝑥 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 𝑥

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 ‘from 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 𝑊 and 𝑉 lie on a horizontal plane. The bearing of 𝑊 from 𝑉 is 060°. Which diagram shows the correct locations of 𝑊 and 𝑉 ?

Chapter 9 Earth as a Sphere

Trial 2012

1. Melaka

i. 𝑁 is the North Pole, 𝑆 is the South Pole and 𝑂 is the centre of the earth. 𝑃

and 𝑄 are two points on the Greenwich Meridian. The latitude of P is 70°. and

the latitude of I is50°𝑆.

Which diagram shows the correct locations of P and Q?

ii. 𝐷(30°𝑁, 50°𝑊), 𝐹(30°𝑁, 25° 𝑊), 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. 𝐻𝐽 = 𝐾𝐶 = 3𝑐𝑚 " 𝐸𝐻 = 𝐽𝐾 = 2 𝑐𝑚.

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).

𝑄𝑅 = 4 𝑐𝑚, 𝑅𝑆 = 2 𝑐𝑚 𝑎𝑛𝑑 𝐴𝑃 = 2 𝑐𝑚.

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.