Mathematics
SPM · 34 topics available
Form 4
Chapter 1 · Quadratic Functions and Equations in One Variable
Chapter 2 · Number Bases
Chapter 3 · Logical Reasoning
Chapter 4 · Operations on Sets
Intersection of Sets
Find the common elements of two sets using the intersection symbol, Venn diagrams and n(A ∩ B).
OpenUnion of Sets
Combine all elements of two sets using the union symbol, Venn diagrams and n(A ∪ B).
OpenCombined Operations on Sets
Combine complement, intersection and union, and count with n(A ∪ B) = n(A) + n(B) − n(A ∩ B).
OpenChapter 5 · Network in Graph Theory
Chapter 6 · Linear Inequalities in Two Variables
Chapter 7 · Graphs of Motion
Chapter 8 · Measures of Dispersion for Ungrouped Data
Chapter 9 · Probability of Combined Events
Combined Events
List the sample space of combined events using tables and tree diagrams, and find their probabilities.
OpenDependent and Independent Events
Distinguish independent from dependent events and apply the multiplication rule of probability.
OpenMutually Exclusive and Non-Mutually Exclusive Events
Apply the addition rule of probability and recognise when events are mutually exclusive.
OpenChapter 10 · Consumer Mathematics: Financial Management
Form 5
Chapter 1 · Variation
Direct Variation
Model relationships where one quantity varies directly with another, find the constant, and use $y = kx$.
OpenInverse Variation
Model relationships where one quantity varies inversely with another using $y = \frac{k}{x}$.
OpenJoint Variation
Model quantities that vary with two or more variables at once, combining direct and inverse variation.
OpenChapter 2 · Matrices
Matrices
A matrix is a rectangular array of numbers arranged in rows and columns. This section covers order, equal matrices and the identity matrix.
OpenBasic Operations on Matrices
Matrices can be added, subtracted, multiplied by a scalar and multiplied together. The inverse of a 2×2 matrix lets us solve simultaneous linear equations.
OpenChapter 3 · Consumer Mathematics: Insurance
Chapter 4 · Consumer Mathematics: Taxation
Chapter 5 · Congruency, Enlargement and Combined Transformations
Congruency
Congruent figures have exactly the same shape and size. This section covers the tests for congruent triangles and how congruency differs from similarity.
OpenEnlargement
An enlargement changes the size of a figure using a centre and a scale factor. Lengths multiply by the scale factor and areas by its square.
OpenCombined Transformation
A combined transformation applies two or more transformations one after another. The order in which they are applied usually matters.
OpenTessellation
A tessellation covers a flat surface with shapes leaving no gaps and no overlaps. Whether a regular polygon tessellates depends on its interior angle.
OpenChapter 6 · Ratios and Graphs of Trigonometric Functions
Values of Sine, Cosine and Tangent for 0° ≤ θ ≤ 360°
The sign of a trigonometric ratio depends on the quadrant. A reference angle lets us find any value from the special acute angles.
OpenGraphs of Sine, Cosine and Tangent Functions
The graphs of sine, cosine and tangent are periodic. Each has a characteristic shape, period and range that we can read off directly.
OpenChapter 7 · Measures of Dispersion for Grouped Data
Dispersion for Grouped Data
When data are grouped into class intervals we use frequency tables, histograms, cumulative frequency and the ogive to display and read the distribution.
OpenMeasures of Dispersion for Grouped Data
For grouped data we estimate the mean using midpoints, compute variance and standard deviation, and read the interquartile range from an ogive.
OpenNeed help with Mathematics? A verified JomKelas tutor can guide you through any topic.
Find a verified tutor