Pearson Edexcel GCSE Mathematics (1MA1)

109 free lessons that follow the GCSE specification topic by topic. Each lesson has short notes, a worked example and a quick check with instant marking.

Start learning Mathematics Topic list and checklist

GCSE · Pearson Edexcel 1MA1

Getting started

5 lessons · about 66 minutes

Number skills: order of operations and written methods · video 14 min
The language of algebra · video 14 min
Shapes, angles and coordinates · video 13 min
Measures: scales, time and money · video 13 min
How GCSE Maths is assessed · video 12 min

Number

14 lessons · about 3 h 40 min

Place value, ordering and negative numbers · video 14 min
Prime factors, HCF and LCM · video 16 min
Powers, roots and estimating 15 min
Fraction arithmetic · video 18 min
Fractions, decimals and percentages · video 15 min
Laws of indices · video 15 min
Fractional and negative indices · video 16 min
Standard form · video 16 min
Simplifying surds · video 17 min
Surds: brackets and harder denominators 18 min
Recurring decimals to fractions · video 15 min
Rounding and estimation · video 15 min
Upper and lower bounds · video 17 min
The product rule for counting · video 13 min

Algebra

33 lessons · about 8 h 50 min

Expressions, substitution and formulae · video 14 min
Expanding and factorising · video 18 min
Expanding three brackets 15 min
Changing the subject of a formula · video 15 min
Harder rearranging: when the subject appears twice 17 min
Solving linear equations · video 16 min
Forming and solving equations from words and diagrams 16 min
Linear inequalities · video 15 min
Inequalities on graphs and set notation 15 min
Sequences and the nth term · video 16 min
Special sequences: triangular, cube, geometric and Fibonacci-type 14 min
Quadratic sequences and the nth term 17 min
Plotting graphs from a table of values 14 min
Straight-line graphs: y = mx + c · video 17 min
Real-life graphs · video 14 min
Gradients of curves and areas under graphs 18 min
Parallel and perpendicular lines · video 15 min
Solving quadratics by factorising · video 18 min
Quadratic graphs and their roots · video 16 min
Harder quadratics: factorising, the formula and completing the square · video 19 min
Forming and solving quadratic equations 17 min
Simultaneous linear equations · video 18 min
Simultaneous equations with a quadratic · video 18 min
Quadratic inequalities · video 15 min
Functions, composite and inverse · video 16 min
Functions: domain, range and harder inverses 17 min
Algebraic fractions · video 17 min
Algebraic proof · video 15 min
Iteration · video 15 min
Cubic, reciprocal and exponential graphs · video 14 min
Graphs of sin x, cos x and tan x 17 min
Equation of a circle and tangents · video 15 min
Transformations of graphs · video 15 min

Ratio, proportion and rates of change

10 lessons · about 2 h 35 min

Ratio and sharing · video 15 min
Ratio problems: fractions, 1 : n and changing ratios 16 min
Percentages and percentage change · video 15 min
Simple interest, percentages over 100% and growth problems 15 min
Reverse percentages, compound interest and decay · video 17 min
Compound measures: speed, density and pressure · video 16 min
Direct and inverse proportion · video 15 min
Proportion graphs and gradient as a rate 14 min
Proportion with algebra · video 16 min
Units, conversions and scale · video 14 min

Geometry and measures

29 lessons · about 7 h 50 min

Angle facts and parallel lines · video 15 min
Symmetry and the properties of quadrilaterals 14 min
Angles in polygons · video 15 min
Geometric proof and congruent triangles 17 min
Constructions and loci 16 min
Area and perimeter · video 15 min
Circles, arcs and sectors · video 17 min
Parts of a circle, chords and tangents 14 min
Volume and surface area · video 17 min
3D shapes, nets, plans and elevations 14 min
Cones, spheres, pyramids and composite solids 17 min
Coordinates, midpoints and shapes on a grid 14 min
Transformations · video 16 min
Enlargement: centres and scale factors 16 min
Combined transformations and invariant points 16 min
Similarity and congruence · video 17 min
Similar shapes: area and volume 18 min
Pythagoras' theorem · video 16 min
Right-angled trigonometry · video 18 min
Angles of elevation and depression, and bearings with trigonometry 16 min
Exact trigonometric values · video 14 min
Sine rule, cosine rule and area of a triangle · video 19 min
Problems with the sine and cosine rules 18 min
Pythagoras and trigonometry in 3D · video 16 min
Circle theorems · video 18 min
Circle theorems: alternate segment and multi-step problems 18 min
Vectors · video 17 min
Vector proofs: midpoints, ratios and collinear points 18 min
Bearings, constructions and loci · video 15 min

Probability

8 lessons · about 2 h

Probability basics and relative frequency · video 15 min
Sample space diagrams and listing outcomes 14 min
Frequency trees and two-way tables 15 min
Tree diagrams and combined events · video 17 min
Set language and notation · video 14 min
Sets: subsets, set-builder notation and Venn problems 16 min
Venn diagrams and probability · video 15 min
Conditional probability · video 16 min

Statistics