Foundation & Higher · GCSE Mathematics

Computational
Mastery.

Master the logic of numbers. From advanced algebra to statistical analysis—interactive, curriculum-aligned practice built for absolute fluency.

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Featured Training

Equation Rush

Speed algebra — solve linear and quadratic equations against the clock.

Fraction Frenzy

Fractions, decimals, percentages — conversions & complex calculations.

Angle Snapper

Geometry & trigonometry — triangles, polygons, and parallel lines.

Full Curriculum

Number

20 Modules

Laws of Indices

Simplify expressions using index laws — multiply, divide, and raise powers.

Prime Factors, HCF & LCM

Break numbers into prime factors and find HCF and LCM.

Write very large and very small numbers using standard form (a × 10ⁿ).

Round numbers to one significant figure and estimate calculations.

Error Intervals

Find upper and lower bounds for rounded measurements.

Product Rule for Counting

Calculate the number of possible outcomes using the product rule.

Percentage increase, decrease, reverse percentages, and compound interest.

Add, subtract, multiply and divide fractions.

Recurring Decimals to Fractions

Convert recurring decimals into fractions using algebra.

Convert between fractions, decimals, and percentages.

Bounds (Upper & Lower)

Upper and lower bounds of rounded measurements.

Fractions (Calculator)

Advanced fraction manipulation with mixed numbers on a calc.

Highest Common Factor & Lowest Common Multiple using Venn diagrams or lists.

Laws of Indices (Calc)

Using fractional and negative powers with a scientific calculator.

Metric Conversions

Converting distance, mass, and complex units like m² to cm².

Compound Interest

Using multipliers to calculate compound interest and exponential growth.

Rounding & Sig Figs

Rounding to decimal places and significant figures.

Standard Form (Calc)

Calculating large numbers using the x10^x button on calcs.

Simplifying surds and rationalising denominators.

Surds & Recurring Decimals

Simplify surds, rationalise denominators, and convert recurring decimals.

Algebra

14 Modules

Expanding & Simplifying

Expand brackets and collect like terms.

Factorise expressions by finding common factors or using quadratic methods.

Substitute values into algebraic expressions and formulae.

Setting Up & Solving Equations

Form equations from word problems and solve them.

Straight Line Graphs

Work with y = mx + c — find gradients, intercepts, and equations.

Parallel & Perpendicular Lines

Identify parallel and perpendicular lines from their equations.

Changing the Subject

Rearranging formulas to make a different variable the subject.

Distance-Time Graphs

Interpreting speed and gradients from graphs.

Expanding & Factorising (Calc)

Expanding double brackets and extracting common factors.

Factorising Quadratics

Factorising expressions of the form ax² + bx + c.

Using iterative formulas to approximate roots of equations.

Substitution (Calc)

Substituting decimals and negatives into complex equations.

Simultaneous Equations

Solve two equations at the same time using elimination or substitution.

Linear (Arithmetic) and Quadratic sequences.

Geometry

18 Modules

Angles in Polygons

Find interior and exterior angles of regular and irregular polygons.

Angles on Parallel Lines

Identify and calculate alternate, corresponding, and co-interior angles.

Area of 2D Shapes

Calculate areas of triangles, rectangles, trapeziums, circles, and more.

Work with three-figure bearings measured clockwise from North.

Pythagoras' Theorem

Find missing sides in right-angled triangles.

Calculate volumes of cuboids, prisms, cylinders, and spheres.

Calculate surface areas of cuboids and spheres.

Plans and Elevations

Understand views of 3D shapes from different directions.

Angle Bisectors

Using compasses to bisect angles and lines.

Area & Money Problems

Calculating costs based on area (e.g. flooring or painting).

Area of 2D Shapes (Calc)

Using formulas for trapezium, circles, etc. with a calculator.

Area & Arc of Sectors

Calculating arc lengths and sector areas of circles.

Surface Area of Cones/Spheres

Using complex surface area formulas (often given in exams).

Pythagoras & SOHCAHTOA

Calculate lengths and angles in right-angled triangles.

Work with movement and direction as column vectors.

Circle Theorems

The geometric laws governing angles in circles.

SOH CAH TOA, Sine rule, Cosine rule, and 3D applications.

Work with column vectors and vector geometry.

Statistics

8 Modules

Frequency Polygons

Read and interpret frequency tables and calculate averages from grouped data.

Estimated Mean (Calc)

Calculate an estimate of the mean from grouped data using midpoints.

Frequency density and unequal class widths.

Pie Charts (Calc)

Calculate angles for pie chart slices using a multiplier.

Lines of best fit and correlation.

Extracting and filling probability tables linking two variables.

Probability Trees

Calculate probabilities of multiple events using tree diagrams.

Venn Diagrams (Prob)

Using Venn diagrams to solve probability and set theory problems.

Maths Discovery Lab

Angle Mastery

Drag the slider to match: 130°

0°0°360°

y = mx + c Explorer

Drag the sliders to see how gradient and intercept change the line.

m (gradient) = 1

c (y-intercept) = 0

y = 1x + 0

Number Properties: True or False?

Test your knowledge of core number facts.

Every even number is divisible by 4.

A square number always has an odd number of factors.

π (pi) is a rational number.

The product of two prime numbers is always even.

Mathematical Fluency & Precision

Maths is a language. Mastery comes from high-frequency practice of the core patterns until they become second nature.

Pattern Recognition

Our algebra tools force you to recognize equation types instantly, reducing cognitive load during complex multi-step problems.

Precision Under Pressure

Speed modes like Equation Rush build the mental accuracy needed to avoid "silly mistakes" when time is running out.

Curriculum-Aligned Depth

Every topic is mapped directly to the AQA and Edexcel specifications, ensuring you practice only what actually matters.

Quick usage checklist

Complete at least 3 topics per session to use the "Interleaving" strategy.
Track your "best streak" to maintain focus on accuracy over speed.
Return to failed topics within 48 hours for optimal retention.

The Comprehensive Guide to GCSE Mathematics

Frequently Asked Questions

What is the difference between Foundation and Higher tier GCSE Maths?

Foundation tier covers grades 1 to 5, focusing on fundamental numeracy, basic algebra, and essential geometry. Higher tier covers grades 4 to 9 and introduces advanced concepts like quadratic formulas, trigonometry, and complex statistical analysis. Your teacher will usually recommend the tier that aligns with your mock exam performance.

How many hours should I revise for GCSE Maths?

Quality of revision is more important than sheer volume. We recommend 2-3 focused hours per week, utilizing active recall and spaced repetition, rather than cramming 10 hours right before the exam. Short, 20-minute daily sessions are scientifically proven to be more effective for retaining mathematical procedures.

Are calculators allowed in all GCSE Maths papers?

No. All major exam boards (AQA, Edexcel, OCR) include at least one non-calculator paper. It is crucial to practice mental arithmetic, fraction manipulation, and surds without computational assistance to ensure you are fully prepared for this specific paper.