GCSE Maths – Foundation Tier (Grades 1-5)
- Prime or composite
- Prime factorisation
- Highest common factor (HCF)
- Lowest common multiple (LCM)
- Compare & order rational numbers
- Number lines
- Convert between decimals & fractions
- Square roots
- Cube roots
- Classify numbers
- Add, subtract, multiply & divide integers
- Add & subtract rational numbers
- Multiply & divide rational numbers
- Identify equivalent ratios
- Unit rates
- Solve proportions
- Convert between %-fraction-decimal
- Solve percent equations
- Percent of a number: VAT, discount & more
- Write variable expressions
- Distributive property
- Simplify expressions (like terms & distributive)
- Identify equivalent linear expressions
- Solve one-step linear equations
- Solve two-step linear equations
- Linear equation word problems
- Graph one-variable inequalities
- Indices with integer bases
- Negative indices
- Convert ordinary ↔ standard form
- Compare numbers in standard form
- Arithmetic sequences
- Geometric sequences
- Perimeter
- Area of triangles & quadrilaterals
- Circumference of circles
- Mean, median, mode & range
- Probability of simple events
GCSE Maths – Higher Tier (Grades 4-9+)
- Write a recurring decimal as a fraction
- Estimate square roots
- Indices with decimal & fractional bases
- Power rule with integer indices
- Multi-step percent problems
- Identify proportional relationships
- Write inverse variation equations
- Solve advanced linear equations
- Simultaneous equations – elimination
- Simultaneous equations – any method
- Gradient from two points
- Point-gradient form: write an equation
- Transformations of linear functions
- Factorise quadratics (ax²+bx+c)
- Complete the square
- Quadratic formula
- Evaluate exponential functions
- Compound interest
- Rational functions: asymptotes
- Simplify rational expressions
- Volume of spheres
- Surface area of spheres
- Arcs & chords
- Trigonometric ratios (sin, cos, tan)
- Solve a right triangle
- Add vectors
- Add & subtract in standard form
- Multiply in standard form
- Probability of compound events
- Conditional probability (two-way tables)
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