Edexcel A Level Pure Mathematics 1 (P1) Past Papers
GradeMax provides comprehensive A Level Pure Mathematics 1 revision with real past paper questions organized by topic. Practice algebra, quadratics, coordinate geometry, differentiation, and integration.
12 years of papers (2014–2025) · 5 topics · Mark schemes included · Free download
A Level Pure Mathematics 1 (P1) Topics
Practice topic-wise Edexcel A Level Pure Mathematics 1 (P1) past paper questions with mark schemes
Algebra and Functions
Laws of indices, surds, quadratic equations, simultaneous equations, and inequalities.
Coordinate Geometry
Equations of lines, parallel and perpendicular lines, circles, and intersection points.
Sequences and Series
Arithmetic sequences, geometric sequences, sigma notation, and binomial expansion.
Differentiation
Differentiation from first principles, derivatives of polynomials, tangents, normals, and stationary points.
Integration
Indefinite integration, definite integration, and area under curves.
A Level Pure Mathematics 1 (P1) Past Papers by Year
A Level Pure Mathematics 1 (P1) — Frequently Asked Questions
What topics are in Pure Mathematics 1?
Pure Maths 1 covers: Algebra and Functions, Coordinate Geometry (including circles), Sequences and Series (including binomial expansion), Differentiation, and Integration.
How do you differentiate from first principles?
Differentiation from first principles uses the limit: f'(x) = lim(h→0) [f(x+h) - f(x)]/h. You substitute f(x+h), simplify, and take the limit as h approaches 0.
What is the formula for arithmetic sequences?
For arithmetic sequences: nth term = a + (n-1)d, sum of n terms = n/2[2a + (n-1)d] or n/2(a + l), where a is first term, d is common difference, l is last term.
How do you find stationary points?
To find stationary points: 1) Differentiate to get dy/dx, 2) Set dy/dx = 0 and solve, 3) Find corresponding y-values, 4) Use second derivative to determine if max, min, or point of inflection.
What's the binomial expansion formula?
(a+b)ⁿ = Σ(r=0 to n) ⁿCᵣ × aⁿ⁻ʳ × bʳ. For (1+x)ⁿ, the general term is ⁿCᵣ × xʳ. Remember ⁿCᵣ = n!/(r!(n-r)!).