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
1
JUJ2008
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
2
JUJ2008
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
JUJ Pahang SPM 2008
3
JUJ2008
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
4
32,33
29,30,31
36,37,38
34,35
26,27
JUJ2008
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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