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

## Section 2: Algebra

- 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

## Section 3: Geometry and Measurement

- Conversion of units: cm
^{2}and m^{2}, and between cm^{3}and m^{3} - 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

## Section 4: Statistics and Probability

- 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

- Different ways of representing data and their advantages and disadvantages using
- Probability
- probability of single events
- probability of multiple events
- drawing of tree diagrams
- addition and multiplication of probabilities

## All Our O Level Mathematics Videos

~ Coming soon!

## O Level Mathematics Crash Course

~ Coming soon!