MATHEMATICS SPM - SPM Trial Paper Questions and Answer

JUJ2008

Mathematics

MATHEMATICS SPM

This module aims to prepare the Form five students for the SPM examination and also for

the Form four students to reinforce as well as to enable them to master the selected

topics. It also serves as a guidance for effective acquisition of the various mathematical

skills.

At the end of each topic, sample answers are given. Discussions on common mistakes

that result in the students¡¯ failure to obtain full mark are included as well. This module

suggests specific strategies for each chosen topic and strategies which can help the

students in problem solving. It is hoped that this module can benefit all the Pahang

students as well as helping them towards achieving excellent results in SPM

Mathematics.

TABLE OF CONTENTS

1.1

1.2

1.3

1.4

1.5

1.6

Authentic Examination Format

Topical Analysis of SPM Paper 1

Topical Analysis of SPM Paper 2

General strategies in answering the Mathematic questions based on the

task words.

Examination Tips

A full set of Paper 1 and Paper 2 sample questions (Praktis Bestari)

JUJ Pahang SPM 2008

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Mathematics

FORMAT OF ASSESSMENT INSTRUMENT

MATHEMATICS 1449

NO

1

TOPIC

Instrument type

PAPER 1 (1449/1)

Objective questions

PAPER 2 (1449/2)

Subjective questions

2

Item type

3

Number of

Questions

Multiple Choice

Questions

40 questions

( answer all)

Open ended structure and

limited response

Section A

11 questions (answer all)

Section B

5 questions (choose 4)

4

Total Marks

40

Section A

Total marks

: 52

Section B

Total marks

: 48

(Each question 12 marks)

Overall Total :100

5

Test Duration

1 hour 15 minutes

2 hours 30 minutes

6

Constructs Weights

Knowledge - 45%

Skills

- 55%

Knowledge - 25%

Skills

- 70%

Values

- 5%

7

Context Scope

?

?

8

9

Difficulty level

Low

- L

Medium - M

High

- H

Additional Tools

Lower secondary

school scope with

continuation in the

upper secondary.

All aspects of

learning from Form

4 and Form 5.

?

?

Lower secondary school

scope with continuation

in the upper secondary.

All aspects of learning

from Form 4 and Form 5.

L:M:H = 5:3:2

L:M:H = 5:3:2

a. Scientific Calculator

b. Four-figure

Mathematical table

b. Geometry Set

a. Scientific Calculator

b. Four-figure Mathematical

table

b. Geometry Set

JUJ Pahang SPM 2008

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Mathematics

2. LIST OF MATHEMATICS TOPICS 1449

No. FORM 1 ¨C 3

FORM 4

FORM 5

1

Circles I and II

Number Bases

2

Polygons I and II

3

Solids and Volumes

4

Transformations I and II

5

Trigonometry I

Algebraic Expressions I

and II

Algebraic fractions

Standard Form

Quadratic Expressions

and Equations

Sets

Mathematical

Reasoning

The Straight Line

6

7

8

9

Algebraic Formulae

Linear Equations(1 and

2 unknowns)

Indices

11

Linear Inequalities

12

Statistics I and II

Arc Length & Area of

Sector

13

Transformations III

Matrices

Probability I

Variations

Gradient and Area under

a Graph

Probability II

Circles III

Bearing

Trigonometry II

Earth as a Sphere

Statistics III

Angles of Elevation

and Depression

Lines and Planes in 3

Dimensions

10

Graphs of Functions II

Plans and Elevations

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1.2 .

TOPICAL ANALYSIS OF SPM MATHEMATICS PAPER 1

TOPICS

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

Mathematics

Standard Form

Number Bases

Polygon II

Circles III

Angles of Elevation

& Depression

Trigonometry II

Lines and Planes in

3 Dimensions

Bearing

Earth as a Sphere

Transformations I

Algebraic

Expressions II

Linear Equations I

Algebraic

Expressions III

Algebraic Formulae

Indices

Linear Inequalities

Matrices

Graph of Function

II

The Straight Line

Sets

Variations

Probability I

Statistics I

Statistics II

Transformations II

Trigonometry I

Probability II

Statistics III

4

5

3

4

4

2003

1,2,3,4

5,6

7,8

9

10

NUMBER OF QUESTIONS

2004

2005

2006

1,2,3,4

1,2,3

1,2,3,4

5,6

4,5

5,6

7

6,7

7

8

8

8

15,16

15

15,16

2007

1,2,3

4,5

6,7

8

15

4

4

11,12

13

11,12

14

5

5

2

2

FORM

11,12,13

14

11,12,13

14

11,12,13

14

14

18

15

17

16,17,18 10

19

20

16

17,18

9,10

19

17

18

9,10

19,20

16

17,18

9,10

19

2

3

3,20

21

22

20

22

22

21

3

3

3

5

5

22

21

23,24

23,24

25,26

25,26

27,28,29 40

30

29

21

23,24

25

39,40

28

21

23

24

39,40

28

20

23,24

25

39,40

28

4

4

5

4

2

3

3

3

5

4

31

33,34

32,33

32,33

32,33,34 30,31,32 29,30,31 29,30,31

35,36

38,39

36,37,38 36,37,38

37,38

35,37

34

34,35

39

27

27

26,27

40

28

25

9

13

36

35

26

-

22

19

JUJ Pahang SPM 2008

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32,33

29,30,31

36,37,38

34,35

26,27

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Mathematics

1.3 TOPICAL ANALYSIS OF SPM MATHEMATICS PAPER 2

No. Form Topic

Part A (Question 1 to Question 11)

1.

1-3

Linear Simultaneous Equations

2

4

Quadratic Equation

3.a 4

Sets (Shade Venn diagrams)

3.b 5

Region for Inequalities

4.

4

Mathematical Reasoning (Statement,

implications, argument, mathematical induction,

converse )

5.

4

The Straight Line ( parallel, equation, y-intercept)

6.

5

Probability II

7.

1-3

Arc Length & Area of Sector

8.

1-3

Volume of Solids

a. Pyramids and half cylinders

b. Cones and Cylinders

c. Cones and cuboids

d. Pyramid and prism

9.

5

Matrices ( Inverse, matrix equation )

10. 5

Gradient and Area Under a Graph

a. Speed-Time Graph

b. Distance-Time graph

11. 4

Lines & Planes in 3 Dimensions (angle between 2

planes)

Part B (Question 12 to 16 - Choose any four)

12. 5

Graphs of Functions II

a. Quadratic

b. Cubic

c. Reciprocal

13. 5

Transformations III ( combined )

14. 5

Earth as a Sphere

15. 5

Plans and elevations

a. Prism and cuboids

b. Cuboids and half cylinder, prism

c. Prism and prism

16. 4

Statistics III

a. Raw data, frequency table, mean, frequency

polygon, modal class

b. Ogive

c. Histogram

d. Frequency Polygon

e. Communication

Total Questions

JUJ Pahang SPM 2008

5





Total Question

04

05

06

07

1

1

1

1

1

1

1

1

1

1

1

1

1

1

-

1

1

1

1

1

1

1

1

1

1

1

1

1

1

-

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

-

1

-

1

1

1

1

16

1

1

1

16

1

1

16

1

1

1

1

1

1

1

16

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