Year 12 Maths
Choose a main topic to find your next skill.
Number8 subtopics
Number Properties I
Optional enrichment: Factors, prime powers and common multiples
Number Properties II
Optional enrichment: Divisor counts and HCF/LCM relationships
Number Structure
Optional enrichment: Perfect powers, divisibility and constrained prime factors
Fraction Reasoning
Optional enrichment: Remaining fractions, rates, recurring decimals and rational relationships
Percentage Modelling
Optional enrichment: Repeated changes, weighted percentages and reverse compound growth
Proportional Modelling
Optional enrichment: Changing ratios, inverse variation and joint proportion
Integer Constraints
Optional enrichment: Integer bounds, absolute values and signed relationships
Indices and Surds
Optional enrichment: Fractional indices, conjugates and exact surd relationships
Algebra6 subtopics
Quadratic Equations
Optional extension. Rearrange equations and factorise ax² + bx + c, including fractional roots.
Exponential Equations
Optional extension. Substitution and common exponential factors
Algebraic Structure
Optional extension. Identities, factor structure and coefficients
Equation Systems
Optional extension. Simultaneous equations and parameter constraints
Sequence Modelling
Optional extension. Quadratic patterns, sums and geometric sequences
Function Modelling
Optional extension. Lines, intersections and quadratic functions
Measurement4 subtopics
Circle and Polygon Reasoning
Optional extension: Circle theorems, tangent angles and regular polygon exterior angles
Composite Solids
Optional extension: Cones, hollow solids and changing dimensions
Spatial Pythagoras
Optional extension: Space diagonals, tangents and combined lengths
Similarity Modelling
Optional extension: Area and volume ratios, removed cones and nested shapes
Statistics4 subtopics
Data Modelling · Extension
Optional extension: Frequency density, interpolation and fitted lines
Distribution Reasoning · Extension
Optional extension: Combined means, variance and missing observations
Frequency Modelling · Extension
Optional extension: Unknown frequencies, grouped estimates and weighted spread
Sampling Models · Extension
Optional extension: Stratification, capture–recapture and sample precision
These are the practice sets currently available for this year. Coverage is still growing.
Open Year 12 practice