Year 10 / 11 Mathematics

Teaching content aligned to the new WJEC GCSE Mathematics and Numeracy (Double Award) – taught from September 2025, first awards November 2026. Focused on the skills and topics that appear most frequently in exams.

Guide

WJEC Double Award 2026 – what changed and how to revise

The three units, a revision order, and the mistakes that cost marks.

The three exam units

30% of qualification

Unit 1 – Financial Mathematics & Numeracy

Personal finance, household budgets, percentages in money contexts, enterprise and real-world numeracy. Calculator allowed.

Calculator allowed · Higher 1h 45m / Foundation 1h 30m

30% of qualification

Unit 2 – Non-calculator

Strong focus on geometry, probability, number skills and algebraic manipulation without a calculator.

Non-calculator · Higher 1h 45m / Foundation 1h 30m

40% of qualification

Unit 3 – Calculator-allowed

Topics that benefit from calculator use – more complex algebra, statistics, geometry and problem solving.

Calculator allowed · Higher 2h / Foundation 1h 45m

Lessons

Each lesson includes clear explanations, worked examples and practice questions with answers.

Unit 1 – Financial Mathematics

Financial Maths – Percentages, Interest & Money

Core skills for Unit 1: percentage change, simple & compound interest, profit/loss and money problems.

PercentagesSimple interestCompound interestProfit & loss
Open lesson →
Algebra (all units)

Algebra – Forming & Solving Equations

Linear equations, equations with fractions, simultaneous equations and quadratic equations.

Linear equationsSimultaneous equationsQuadratics
Open lesson →
Number (all units)

Number – Ratio, Proportion & Percentages

Ratio, direct & inverse proportion, reverse percentages and repeated percentage change.

RatioProportionReverse percentages
Open lesson →
Unit 2 – Non-calculator (geometry focus)

Geometry Essentials – Angles, Pythagoras & Trigonometry

Key geometry skills tested heavily in Unit 2 and also in Unit 3.

Angle rulesPythagorasTrigonometry
Open lesson →
Unit 2 & Unit 3

Statistics & Probability

Averages, charts, probability (including tree diagrams) and statistical diagrams.

AveragesProbabilityTree diagrams
Open lesson →
Number (all units)

Standard Form & Indices

Writing numbers in standard form, calculating with standard form, and the laws of indices.

Standard formIndex lawsSurds (Higher)
Open lesson →
Algebra (all units)

Graphs & Sequences

Straight-line graphs (y = mx + c), nth term of sequences, and an introduction to quadratic graphs.

Linear graphsSequencesQuadratic graphs (Higher)
Open lesson →
Unit 2 & Unit 3 – Geometry and measures

Area, Volume & Circles

Area of 2D shapes, volume of prisms, surface area and circle formulae – high-frequency exam topics.

AreaVolumeSurface areaCircles
Open lesson →
Algebra (all units)

Inequalities

Solving linear inequalities, representing solutions on a number line, and double inequalities.

InequalitiesNumber linesSolving inequalities
Open lesson →
Algebra (Higher tier)

Higher Algebra – Quadratics & Formula

Quadratic formula, completing the square, and solving equations with algebraic fractions – essential Higher skills.

Quadratic formulaCompleting the squareAlgebraic fractions
Open lesson →
Unit 2 – Geometry (non-calculator)

Transformations

Reflection, rotation, translation and enlargement – describing and performing transformations on shapes.

ReflectionRotationTranslationEnlargement
Open lesson →
Geometry / Algebra (Higher)

Vectors

Column vectors, adding and subtracting vectors, scalar multiples, magnitude, and simple geometric proofs with vectors.

Column vectorsVector arithmeticMagnitudeGeometry with vectors
Open lesson →
Number (all units)

Bounds & Limits of Accuracy

Error intervals, upper and lower bounds for rounded measurements, and calculations with bounds.

Error intervalsUpper and lower boundsTruncationSignificant figures
Open lesson →
Unit 2 – Geometry (Higher)

Circle Theorems

The main circle theorems tested at Higher tier: angles in the same segment, centre and circumference, cyclic quadrilaterals, tangent and radius, alternate segment.

Circle theoremsAngle in a semicircleTangentCyclic quadrilateral
Open lesson →
Unit 3 – Geometry (Higher)

Sine Rule, Cosine Rule & Triangle Area

Using the sine and cosine rules in non-right-angled triangles, and the formula Area = ½ab sin C.

Sine ruleCosine ruleArea of triangle
Open lesson →
Unit 3 – Statistics (Higher)

Histograms & Cumulative Frequency

Drawing and interpreting histograms (frequency density), cumulative frequency curves, medians and interquartile range.

HistogramsFrequency densityCumulative frequencyBox plots
Open lesson →
Unit 2 – Probability

Probability – Conditional & Venn Diagrams

Venn diagrams, mutually exclusive and independent events, and conditional probability.

Conditional probabilityVenn diagramsIndependent eventsMutually exclusive
Open lesson →
Number (Higher)

Surds

Simplifying surds, expanding brackets with surds, and rationalising the denominator.

SurdsSimplifying surdsRationalising denominator
Open lesson →
Algebra (Higher)

Functions & Iteration

Function notation, composite and inverse functions, and iterative methods to solve equations.

FunctionsComposite functionsInverse functionsIteration
Open lesson →
Unit 2 – Geometry

Constructions & Loci

Standard ruler-and-compass constructions and loci (sets of points satisfying a rule).

ConstructionsPerpendicular bisectorAngle bisectorLoci
Open lesson →

Full Year 10/11 Maths coverage for WJEC GCSE Mathematics and Numeracy (Double Award) – Foundation and Higher topics with worked examples and practice questions.

← Progression Step 5