Mathematics 9709 · Cambridge International AS & A Level
Paper 1: Pure Mathematics 1
1 hour 50 minutes · 75 marks · 60% of the AS Level
- Duration
- 1 hour 50 minutes
- Marks
- 75
- Practice here
- 70
What is on this paper
- 10 to 12 structured questions based on the Pure Mathematics 1 subject content
- Externally assessed
How it is weighted
- 60% of the AS Level
- 30% of the A Level
- Compulsory for AS Level and A Level
Which papers you sit
Paper 1 is compulsory for AS Level and A Level. Paper 3 is compulsory for A Level.
Papers 2, 4, 5 and 6 make up the optional routes; not every paper is taken by every candidate.
Assessment details are taken from the official Cambridge Mathematics 9709 syllabus for 2026-2027. Read the syllabus ↗
Practise the topics on Paper 1
All Mathematics topics →70 original questions, each with a full worked solution. Free to read, no account needed.
Quadratics
Complete the square and use the discriminant to analyse ax² + bx + c; solve quadratic equations and inequalities by…
Coordinate Geometry
Find the equation of a line from given information and use its forms to solve distance, gradient, midpoint and…
Functions
Understand domain, range, one-one functions, inverse functions and composition; find inverses and compositions in…
Series, Progressions and the Binomial Expansion
Expand (a + b)ⁿ for positive integer n using binomial coefficients; recognise arithmetic and geometric progressions…
Trigonometry
Sketch and use the sine, cosine and tangent graphs for angles of any size in degrees or radians; recall exact values…
Differentiation
Interpret the derivative as the limiting gradient of a chord; differentiate xⁿ for rational n and combinations of…
Integration
Recognise integration as the reverse of differentiation and integrate (ax + b)ⁿ (n ≠ −1) and linear combinations of…