GCSE Math
Overview
GCSE Mathematics equips students with essential problem-solving skills, logical reasoning, and numerical fluency. Across AQA and Edexcel, learners explore core mathematical concepts that underpin science, technology, finance, and everyday decision-making.
Core Themes Across AQA & Edexcel
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Place value, rounding, and estimation
Fractions, decimals, and percentages
Powers, roots, and standard form
Ratio, proportion, and rates of change
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Expressions, equations, and identities
Expanding, factorising, and simplifying
Solving linear and quadratic equations
Sequences, inequalities, and algebraic graphs
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Properties of angles, shapes, and constructions
Perimeter, area, surface area, and volume
Transformations: reflection, rotation, translation, enlargement
Pythagoras’ theorem and trigonometry
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Collecting and interpreting data
Frequency tables, bar charts, pie charts, histograms
Averages: mean, median, mode, range
Sampling and data reliability
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Theoretical and experimental probability
Venn diagrams and tree diagrams
Combined events and independent outcomes
Probability scales and expected values
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Direct and inverse proportion
Scale factors and map scales
Speed, density, and other compound measures
Growth and decay problems
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Linear, quadratic, cubic, and reciprocal graphs
Real-life graphs: distance-time, velocity-time
Gradient and intercept interpretation
Graph transformations and solving graphically
Mathematical Skills & Reasoning
Applying formulas and manipulating expressions
Estimating, checking, and evaluating solutions
Interpreting worded problems and modelling scenarios
Using calculators and mental strategies effectively
Communicating mathematical reasoning clearly