# AS Maths

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## Topic Areas covered in AS Maths

Pure Mathematics

- PROOF: proof by deduction, proof by exhaustion, disproof by counterexample
- ALGEBRA & FUNCTIONS – completing the square, cubics, curve sketching, discriminant, indices, inequalities, polynomials, quadratics, simultaneous equations, surds, transformations
- COORDINATE GEOMETRY: straight lines, equation of a circle
- SEQUENCES & SERIES – binomial expansion
- TRIGONOMETRY – non-right-angled triangles, trigonometric equations, trigonometric graphs, trigonometric identities
- EXPONENTIALS & LOGS – exponential & logarithmic graphs, logs, their rules and solving log equations, growth & decay, differentiating e to the kx
- DIFFERENTIATION – differentiation from first principles and differentiating polynomials, increasing & decreasing functions, stationary points, tangents & normals, differentiating e to the kx
- INTEGRATION – fundamental theorem of calculus and integrating powers of x, definite integrals
- NUMERICAL METHODS – (not covered at AS Level)
- VECTORS – two-dimensional vectors, vector arithmetic, vectors in context

Statistics

- STATISTICAL SAMPLING – Sampling,
- DATA PRESENTATION & SAMPLING – box plots, frequency polygons and cumulative frequency diagrams, histograms, correlation, measures of central tendency, measures of variation, linear interpolation and coding
- PROBABILITY – mutual exclusivity and independence, tree diagrams, Venn diagrams
- STATISTICAL DISTRIBUTIONS – discrete probability distributions
- STATISTICAL HYPOTHESIS TESTING – hypothesis tests, conducting hypothesis tests

Mechanics

## AS Maths Exam Information

Pure Maths PAPER 1

Paper 1 covers the pure (or core) aspects of the course. The paper is out of 100 marks and is worth 62.5% of the qualification. The duration is 2 hours and the exam paper code is 8MA0/01.

- Paper examines Pure Maths components
- Out of a possible 100 marks
- Worth 62.5% of the A-Level Maths qualification
- Duration – 2 hours
- Paper code – 8MA0/01

Applied Maths PAPER 2

Paper 2 covers the pure (or core) aspects of the course. The paper is out of 50 marks and is worth 37.5% of the qualification. The duration is 1 hour and the exam paper code is 8MA0/02.

- Paper examines Statistics and Mechanics components
- Out of a possible 50 marks
- Worth 37.5% of the A-Level Maths qualification
- Duration – 1 hour
- Paper code – 8MA0/02