Here’s a compilation of the O Level Mathematics resources to help you with your revision.

Topics Tested in O Level Mathematics

Section 1: Numbers

Prime Numbers
- prime numbers
- prime factorisation
- Applying prime factorisation to LCM, HCF, square roots and cube roots
Numbers and the number line
- Negative and positive numbers
- integers
- rational and irrational numbers
- representing numbers on the number line
- inequalities and representing them on the number line
Approximation and rounding off
Standard form
Ratio and Proportion
- ratios involving rational numbers
- writing ratios in simplest forms
- maps (distance and area)
- direct and inverse proportion
Percentage
- expressing something as a percentage of another
- comparing percentages
- increase/ decrease
- reverse percentage
- simple and compound interests
Rate and Speed
- rate and speed problems
- conversions between different units of speed/ rate
Indices
- positive, negative, fractional and zero indices
- laws of indices
Set language and notation
- understanding set notation
- Venn diagram
Matrices
- display information in matrice
- interpret data in matrices
- product of a scalar and a matrice
- product of matrices
- problem sums involving matrices

Basic operation of algebra
Evaluation of algebraic expressions and formulae
Using algebra to represent nth term of a number pattern
Simplify algebraic expressions
Factorisation:
- extract common factors
- factorisation (4 terms expression)
- by using common formula for expansion
- factorisation of quadratic expressions
Expansion of algebraic expressions
Multiplication and division of algebraic expressions
Simplify addition and subtraction of algebraic fractions into a single fraction
Graphs
- Cartesian coordinates in two dimensions
- Gradient, y-intercepts and x- intercepts
- linear functions
- quadratic functions, their properties, and sketching
- graphs of power functions
- graphs of exponential functions
- drawing tangents of curve to estimate gradient
Coordinate Geometry
- Finding gradient of straight lines
- Length between two points
- Midpoints
- Finding equation of straight lines
Solving equations
- Linear algebraic equations
- Solve linear simultaneous equations
- Solving quadratic equations
- Problem sums involving linear and quadratic equations
Solving equations graphically
Inequalities
- Solving inequalities

Conversion of units: cm² and m² , and between cm³ and m³
Congruent figures
Similar figures
Ratio of length, area and volume of similar figures
Construct perpendicular bisector and angle bisector
Triangles:
- Angle properties
- Pythagoras’ theorem, and trigonometric ratios
- Other formulae to find length/ angle of triangles
- finding area and perimeter of triangles
- constructing triangles
Parallelograms, rhombuses and trapeziums
- properties
- finding area and perimeter
Circles:
- symmetry and angle properties of circles
- radian and degrees conversion
- arc length, sector area and area of a segment of a circle
Volume and surface area of 3-D figures:
- cube, cuboid, prism, cylinder, pyramid, cone, and sphere
Vectors
- Various forms of representing vectors
- vector translation
- magnitude of vectors
- sum and differences of vectors
- parallel and collinear vectors

Data handling and analysis
- Different ways of representing data and their advantages and disadvantages using
  - tables
  - bar graphs
  - pictograms
  - line graphs
  - pie charts
  - dot diagrams
  - histograms with equal class intervals
  - stem-and-leaf diagrams
  - cumulative frequency diagrams
- mean, mode and median
- quartiles and interquartile range
- cumulative frequency curves and their interpretation
- calculating mean and standard deviation
Probability
- probability of single events
- probability of multiple events
- drawing of tree diagrams
- addition and multiplication of probabilities

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