GCSE-readyPearson Edexcel International GCSE Mathematics (4MA1)
106 free lessons that follow the International GCSE specification topic by topic. Each lesson has short notes, a worked example and a quick check with instant marking.
International GCSE · Pearson Edexcel 4MA1
Getting started
5 lessons · about 66 minutes
1 Numbers and the number system
21 lessons · about 5 h 30 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
- Fractional and negative indices · video 16 min
- Simplifying surds · video 17 min
- Surds: brackets and harder denominators 18 min
- Recurring decimals to fractions · video 15 min
- Set language and notation · video 14 min
- Sets: subsets, set-builder notation and Venn problems 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
- Ratio and sharing · video 15 min
- Ratio problems: fractions, 1 : n and changing ratios 16 min
- Rounding and estimation · video 15 min
- Upper and lower bounds · video 17 min
- Standard form · video 16 min
- Compound measures: speed, density and pressure · video 16 min
- Units, conversions and scale · video 14 min
2 Equations, formulae and identities
20 lessons · about 5 h 25 min
- Laws of indices · video 15 min
- Expressions, substitution and formulae · video 14 min
- Expanding and factorising · video 18 min
- Expanding three brackets 15 min
- Algebraic fractions · video 17 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
- Direct and inverse proportion · video 15 min
- Proportion with algebra · video 16 min
- Proportion graphs and gradient as a rate 14 min
- Simultaneous linear equations · video 18 min
- Solving quadratics by factorising · video 18 min
- Harder quadratics: factorising, the formula and completing the square · video 19 min
- Forming and solving quadratic equations 17 min
- Simultaneous equations with a quadratic · video 18 min
- Linear inequalities · video 15 min
- Inequalities on graphs and set notation 15 min
- Quadratic inequalities · video 15 min
3 Sequences, functions and graphs
18 lessons · about 4 h 45 min
- Sequences and the nth term · video 16 min
- Special sequences: triangular, cube, geometric and Fibonacci-type 14 min
- Arithmetic sequences and series 17 min
- Functions, composite and inverse · video 16 min
- Functions: domain, range and harder inverses 17 min
- Plotting graphs from a table of values 14 min
- Straight-line graphs: y = mx + c · video 17 min
- Coordinates, midpoints and shapes on a grid 14 min
- Parallel and perpendicular lines · video 15 min
- Real-life graphs · video 14 min
- Gradients of curves and areas under graphs 18 min
- Quadratic graphs and their roots · video 16 min
- Cubic, reciprocal and exponential graphs · video 14 min
- Graphs of sin x, cos x and tan x 17 min
- Transformations of graphs · video 15 min
- Stretches of graphs: y = af(x) and y = f(ax) 15 min
- Differentiation (International GCSE) 17 min
- Calculus: turning points, maxima, minima and motion 18 min
4 Geometry and trigonometry
23 lessons · about 6 h 15 min
- Angle facts and parallel lines · video 15 min
- Angles in polygons · video 15 min
- Symmetry and the properties of quadrilaterals 14 min
- Bearings, constructions and loci · video 15 min
- Constructions and loci 16 min
- Area and perimeter · video 15 min
- Circles, arcs and sectors · video 17 min
- Volume and surface area · video 17 min
- 3D shapes, nets, plans and elevations 14 min
- Cones, spheres, pyramids and composite solids 17 min
- Parts of a circle, chords and tangents 14 min
- Circle theorems · video 18 min
- Circle theorems: alternate segment and multi-step problems 18 min
- Intersecting chords and secants 15 min
- Geometric proof and congruent triangles 17 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
- 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
5 Vectors and transformation geometry
5 lessons · about 83 minutes
6 Statistics and probability
14 lessons · about 3 h 40 min
- Charts and diagrams · video 15 min
- Pictograms, vertical line charts and time series 13 min
- Averages and range · video 15 min
- Grouped data: estimated mean, modal class and median class 15 min
- Cumulative frequency and box plots · video 17 min
- Quartiles, box plots and comparing distributions 17 min
- Histograms · video 17 min
- Histograms: drawing, reading and estimating 18 min
- 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
- Venn diagrams and probability · video 15 min
- Conditional probability · video 16 min