- Number:
- Fractions, Decimals, and Percentages
- Powers and Roots
- Standard Form
- Factors, Multiples, and Primes
- Rational and Irrational Numbers
- Surds
- Algebra:
- Expressions and Equations
- Solving Linear and Quadratic Equations
- Inequalities
- Sequences and Patterns
- Graphs of Linear and Quadratic Functions
- Simultaneous Equations
- Polynomials
- Geometry and Measure:
- Basic Geometry: Points, Lines, and Angles
- Properties of Shapes: Triangles, Quadrilaterals, Circles
- Perimeter, Area, and Volume
- Pythagoras’ Theorem
- Similarity and Congruence
- Transformations: Reflections, Rotations, Translations
- Trigonometry: Sine, Cosine, Tangent
- Statistics and Probability:
- Data Representation: Tables, Charts, and Graphs
- Measures of Central Tendency: Mean, Median, Mode
- Measures of Spread: Range, Interquartile Range, Standard Deviation
- Probability: Probability Rules, Tree Diagrams, Venn Diagrams
- Sampling and Surveys
- Ratio and Proportion:
- Ratios
- Direct and Inverse Proportion
- Rates of Change
- Applied Mathematics:
- Basic Financial Mathematics
- Real-life Problem Solving
- Practical Applications of Mathematics
This list covers the core topics, but there may be variations depending on the specific exam board and curriculum being followed.