This page gathers all the Year 12 maths: lessons, worksheets, quizzes and tests on 16 topics for pupils aged 16-17 (Post-16 (A level year 1 / AS)). They also help you prepare for the A level Mathematics (AS).
Everything for Year 12 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 12 maths
In Year 12 maths, the topics are grouped into 3 strands: Pure Mathematics (11), Statistics (3), Mechanics (2). 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 12 maths
- Proof – Construct proofs by deduction and exhaustion and disprove by counter-example.
- Indices, surds and quadratic functions – Use rational indices and surds, complete the square and use the discriminant.
- Simultaneous equations, inequalities and polynomials – Solve simultaneous equations and inequalities and use the factor theorem.
- Graphs and transformations – Sketch polynomial and reciprocal graphs and apply transformations.
- Straight lines and circles – Use equations of lines and circles, tangents and chords.
- Binomial expansion and sequences – Expand (a + bx)^n, use sigma notation and sum arithmetic and geometric series.
- Trigonometry – Use trig rules, radians, identities and solve trig equations.
- Exponentials and logarithms – Use laws of logs, solve exponential equations and model growth and decay.
- Differentiation – Differentiate and find tangents, normals and stationary points.
- Integration – Integrate polynomials and find areas under curves.
- Vectors in two dimensions – Use vector notation, magnitude, direction and position vectors.
- Statistical sampling and data – Use sampling methods, histograms, box plots, outliers and scatter diagrams.
- Probability and the binomial distribution – Use independence, Venn diagrams and the binomial distribution.
- Hypothesis testing – Carry out one-tailed and two-tailed binomial hypothesis tests.
- Kinematics – Use suvat equations, motion graphs and calculus for straight-line motion.
- Forces and Newton's laws – Resolve forces, use F = ma and connected particles.