What we cover

Maths, Year 7 to Further Maths.

Every strand on the specification, taught to the exam board your child sits. Pick a level for the detail.

What we cover

The whole specification, from Year 7 to Further Maths.

Not a subject list. The actual strands and topics your child will be examined on, taught to the board they sit.

Years 7, 8 and 9 · Ages 11 to 14

KS3 Maths

The three years where the gaps open up. We close them before GCSE starts, and build the habits of working that GCSE marks reward.

National CurriculumSchool schemes of work
KS3 Maths in detail
Number
Place value, negative numbers, fractions, decimals and percentages, powers and roots, order of operations, rounding and estimation
Algebra
Expressions and simplifying, substitution, solving linear equations, sequences and nth term, straight-line graphs, inequalities
Ratio and proportion
Sharing in a ratio, scaling, unit conversion, percentage change, direct proportion, speed and rates
Geometry and measures
Angles and polygons, area and perimeter, circles, Pythagoras, transformations, constructions, 3D shapes and volume
Probability and statistics
Averages and range, charts and tables, scatter graphs, probability of single and combined events

Years 10 and 11 · Ages 14 to 16

GCSE Maths

Foundation or Higher, taught to the exact board your child sits. Every topic below is on the specification, and every lesson uses real past papers.

AQA 8300Edexcel 1MA1OCR J560EduqasCambridge IGCSE

Three papers of 1 hour 30, Paper 1 without a calculator. Foundation covers grades 1 to 5, Higher grades 4 to 9.

GCSE Maths in detail
Number
Indices and surds, standard form, bounds and error intervals, recurring decimals, HCF and LCM, systematic listing
Algebra
Quadratics (factorising, formula, completing the square), simultaneous equations, functions and inverse, iteration, quadratic sequences, algebraic proof, graphs of cubic, reciprocal and circle, transformations of graphs
Ratio, proportion and rates of change
Compound measures, direct and inverse proportion, growth and decay, compound interest, gradients as rates of change
Geometry and measures
Circle theorems, trigonometry including sine and cosine rules, vectors, similarity and congruence, constructions and loci, bearings, area and volume of compound shapes
Probability
Tree diagrams, conditional probability, Venn diagrams, set notation, relative frequency
Statistics
Cumulative frequency, box plots, histograms, sampling, comparing distributions

Years 12 and 13 · Ages 16 to 18

A-Level Maths and Further Maths

Understanding first, exam craft second, and a revision plan that runs through both years. Further Maths for students aiming at maths, physics, engineering or economics degrees.

AQA 7357Edexcel 9MA0OCR H240OCR MEI H640Cambridge International

Three papers of 2 hours each for A-Level Maths. Further Maths is a separate A-Level with its own papers.

A-Level Maths and Further Maths in detail
Pure
Proof, algebra and functions, coordinate geometry, sequences and series, binomial expansion, trigonometry and radians, exponentials and logarithms, differentiation, integration, numerical methods, vectors
Statistics
Sampling and the large data set, data presentation, probability, binomial and normal distributions, hypothesis testing, correlation and regression
Mechanics
Kinematics and SUVAT, variable acceleration, forces and Newton’s laws, connected particles, moments, projectiles, friction
Further Maths
Complex numbers, matrices, further algebra and series, further calculus, polar coordinates, hyperbolic functions, differential equations, plus the applied options your board sets

By school year

What your child’s year actually covers, and where it goes wrong.

Year 7 maths tutorYear 8 maths tutorYear 9 maths tutorYear 10 maths tutorYear 11 maths tutorYear 12 maths tutorYear 13 maths tutor

By exam board

AQA GCSEEdexcel GCSEOCR GCSEAQA Level 2 Further MathsAQA A-LevelEdexcel A-LevelOCR and MEI A-LevelA-Level Further Maths

Not sure which level or tier?

Ask for a free 30-minute call. We work it out together, and you book afterwards if it feels right.

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