All worksheets KS3

Free KS3 maths worksheets

Years 7 to 9. One worksheet for each unit of the course. Pick a unit to find its worksheet.

1Number, Area and Algebra
2Powers, Shape and Probability
3Equations, Sequences and Angles
4Fractions, Percentages and Brackets
5Ratio, Percentages and Circles
6Coordinates, Graphs and Data
7Similarity, Rates and Graphs
8Standard Form and Bounds
9Quadratics and Simultaneous Equations
10Congruence and Trigonometry
11Averages, Scatter Graphs and Probability

Unit 1Number, Area and Algebra

Directed numbers, rounding, primes, area and simplifyingCalculating with negative numbers, rounding and bounds, prime factors, HCF and LCM, the area and perimeter of rectangles and triangles, and simplifying and substituting into expressions.Year 7 · about 80 minutes · 88 marks

Unit 2Powers, Shape and Probability

Powers and roots, transformations, constructions, Pythagoras and probabilitySquares, cubes and roots, moving shapes on a grid, perpendicular bisectors and loci, Pythagoras' theorem, and probability from counts and from experiments.Year 7 · about 85 minutes · 86 marks

Unit 3Equations, Sequences and Angles

One-step equations, nth terms and angle factsSolving one-step equations, including ones with negative numbers, finding and using the nth term of a linear sequence, and using angles on a straight line, angles at a point and vertically opposite angles.Years 7–8 · about 80 minutes · 85 marks

Unit 4Fractions, Percentages and Brackets

Fractions, decimals and percentages, brackets, and angles in polygonsAdding and subtracting fractions and mixed numbers, moving between fractions, decimals and percentages, expanding and factorising single brackets, and angles in polygons and on parallel lines.Years 7–8 · about 85 minutes · 84 marks

Unit 5Ratio, Percentages and Circles

Ratio, percentage change, circles, trapezia and inequalitiesSharing in a ratio and best buys, percentage change with a multiplier, the area and circumference of a circle, the area of a trapezium, and equations and inequalities with the unknown on both sides.Year 8 · about 85 minutes · 98 marks

Unit 6Coordinates, Graphs and Data

Coordinates, straight-line graphs, volume and surface area, and pie chartsCoordinates and midpoints in all four quadrants, straight-line graphs and their equations, the volume and surface area of prisms and cylinders with plans and elevations, and pie charts.Year 8 · about 85 minutes · 93 marks

Unit 7Similarity, Rates and Graphs

Similar shapes, speed, density and pressure, and distance-time graphsFinding missing sides with scale factors, congruent triangles, area and volume scale factors, speed, density and pressure, and reading speeds from distance-time graphs.Years 8–9 · about 80 minutes · 86 marks

Unit 8Standard Form and Bounds

Standard form for very large and very small numbers, and upper and lower boundsWriting numbers in standard form and back, calculating with them, and finding the upper and lower bounds of a rounded measurement and of a calculation that uses one.Years 8–9 · about 80 minutes · 82 marks

Unit 9Quadratics and Simultaneous Equations

Lines through two points, double brackets, algebraic fractions, quadratic graphs and simultaneous equationsFinding the equation of a line from two points, expanding and factorising double brackets, simplifying algebraic fractions, reading roots and turning points from quadratic and cubic graphs, and solving simultaneous equations by setting two lines or curves equal.Year 9 · about 85 minutes · 89 marks

Unit 10Congruence and Trigonometry

Congruent triangles, proof and right-angled trigonometryProving triangles congruent with SSS, SAS, ASA and RHS, knowing why two sides and a non-included angle prove nothing, and using sin, cos and tan to find sides and angles in right-angled triangles.Year 9 · about 85 minutes · 89 marks

Unit 11Averages, Scatter Graphs and Probability

Averages, scatter graphs, tree diagrams and Venn diagramsFinding the mean, median, mode and range from lists and frequency tables, estimating a mean from grouped data, reading scatter graphs and lines of best fit, and combining probabilities with tree diagrams and Venn diagrams.Year 9 · about 85 minutes · 92 marks