This page gathers all the Year 13 maths: lessons, worksheets, quizzes and tests on 14 topics for pupils aged 17-18 (Post-16 (A level year 2)). They also help you prepare for the A level Mathematics.
Everything for Year 13 A level maths is split by type, so you can go straight to what you need: lessons, worksheets, multiple choice questions, quizzes, tests or starters. Each card opens the full list of topics.
- Lessons
Notes and worked examples - Worksheets
Printable PDF with answers - Multiple choice
Ten questions per topic - Quizzes
Quick checks with instant results - Tests
Marked out of 20 - Starters
Mental maths warm-ups
About Year 13 maths
In Year 13 maths, the topics are grouped into 3 strands: Pure Mathematics (9), Statistics (2), Mechanics (3). First, choose a topic in the list, then open its page. Every topic has a lesson, a worksheet with a separate answer page, multiple choice questions, a quiz, a test and starters. Also, most pages have a PDF, so you can print them for homework or revision.
Finally, when a topic feels easy, move on to the next one, because each topic builds on the one before. Because every topic page links to the others, you can switch from learning to practising in one click. Meanwhile, the sidebar shows the other year groups, so you can go back or move ahead. In addition, the answers always sit on their own page; therefore you can try first and check later.
Topics in Year 13 maths
- Proof by contradiction – Prove statements by contradiction.
- Functions, modulus and partial fractions – Use composite and inverse functions, the modulus function and partial fractions.
- Binomial expansion for rational n and series modelling – Expand (1 + x)^n for any rational n and use series in models.
- Further trigonometry – Use small-angle approximations, reciprocal functions and compound and double angle formulae.
- Parametric equations – Convert between parametric and Cartesian forms and use them in context.
- Differentiation: chain, product and quotient rules – Differentiate with the chain, product and quotient rules and implicitly and parametrically.
- Integration techniques and differential equations – Integrate by substitution, by parts and with partial fractions and solve separable differential equations.
- Numerical methods – Locate roots, use iteration, Newton-Raphson and the trapezium rule.
- Vectors in three dimensions – Use three-dimensional vectors, magnitude and geometric problems.
- Conditional probability and the Normal distribution – Use conditional probability, tree diagrams and the Normal distribution as a model.
- Hypothesis tests: correlation and Normal mean – Test a correlation coefficient and the mean of a Normal distribution.
- Projectiles and variable acceleration – Model projectile motion and use calculus for variable acceleration.
- Forces in two dimensions and friction – Resolve forces in a plane and use friction and inclined planes.
- Moments – Solve equilibrium problems with moments.