SPM Mathematics (Model Test Paper)

01 Standard Form

1. Significant Figures
1. Significant Figures Part 1
2. Significant Figures Part 2
2. Standard Form
1. Standard Form Part 1
2. Standard Form Part 2
3. Further Practice (with Solution)
1. Short Questions
• Question 1 – 5
• Question 6 – 8

02 Quadratic Expressions and Equations

1. Quadratic Expression
• Examples
2. Factorisation of Quadratic Expressions
3. Quadratic Equations
4. Roots of Quadratic Equations
5. Further Practice (with Solution)
1. Long Questions
• Question 1 – 4
• Question 5 – 8

03 Sets

1. Set
2. Subset, Universal Set and the Complement of a Set
1. Subsets
2. Universal Set
3. Complement of a Set
3. Operations on Sets
1. Intersection of Sets
2. Union of Sets
4. Further Practice (with Solution)
1. Short Questions
• Question  1 – 4
• Question 5 – 7
2. Long Questions
• Question 1 & 2
• Question 3 & 4

04 Mathematical Reasoning

1. Statements
• Example
2. Quantifiers “All” and “Some”
• Examples
3. Operations on Statements
• Examples
4. Implication
• Examples
5. Argument
• Example
6. Deduction and Induction
7. Further Practice (with Solution)
1. Long Questions
• Question 1 – 3
• Question 4 & 5
• Question 6

05 The Straight Line

1. Gradient of a Straight Line
2. Gradient of the Straight Line in Cartesian Coordinates
• Examples
3. Intercepts
• Examples
4. Equation of a Straight Line
• Examples
5. Parallel Lines
• Examples
6. Further Practice (with Solution)
1. Short Questions
• Question 1 – 5
• Question 6 & 7
2. Long Questions
• Question 1 – 3
• Question 4 – 6

06 Statistics

1. Class Interval
2. Mode and Mean of Grouped Data
3. Histograms with Class Interval of the Same Size
4. Frequency Polygons
5. Cumulative Frequency
6. Measures of Dispersion
7. Further Practice (with Solution)
1. Short Questions
2. Long Questions
• Question 1
• Question 2
• Question 3

07 Probability I

1. Sample Space
2. Events
3. Probability of an Event
4. Further Practice (with Solution)
1. Short Questions
• Question 1 – 4
• Question 5 – 8

08 Circles III

1. Tangents to a Circle
2. Angle Between Tangent and Chord
3. Common Tangents
• Examples
4. Further Practice (with Solution)
1. Short Questions
• Question 1 – 4
• Question 5 – 8
• Question 9 & 10

09 Trigonometry II

1. Values of Sine, Cosine and Tangent of an Angle (Part 1)
2. Values of Sine, Cosine and Tangent of an Angle (Part 2)
3. Graphs of Sine, Cosine and Tangent
4. Further Practice (with Solution)
1. Short Questions
• Question 1 – 3
• Question 4 – 6
• Question 7 – 9
• Question 10 – 12
• Question 13 & 14

10 Angle of Elevation and Angle of Depression

1. Angle of Elevation and Angle of Depression
2. Solving Problems Involving Angles of Elevation and Depression
3. Further Practice (with Solution)
1. Short Questions
• Question 1 – 3
• Question 4 & 5

11 Lines and Planes in 3-Dimensions

1. Angle between Lines and Planes
2. Angle between Two Planes

Form 5

01 Number Base

1. Number in Base Two, Eight and Five (Part 1)
2. Number in Base Two, Eight and Five (Part 2)
3. Number in Base Two, Eight and Five (Part 3)
4. Number in Base Two, Eight and Five (Part 4)
5. Further Practice (with Solution)
1. Short Questions
• Question 1 – 8

02 Graph of Functions II

03 Transformation III

04 Matrices

05 Variations

06 Gradient and the Area under a Graph

07 Probability II

08 Bearing

09 The Earth as a Sphere