Pearson EdexcelWMA11

A Level Pure Mathematics 1: Complete Study Guide & 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.

5Topics
11Years of Papers
2014-2024Coverage
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A Level Pure Mathematics 1 (P1) Topics

1

Algebra and Functions

Laws of indices, surds, quadratic equations, simultaneous equations, and inequalities.

algebraindicessurds
2

Coordinate Geometry

Equations of lines, parallel and perpendicular lines, circles, and intersection points.

coordinate geometrystraight linescircles
3

Sequences and Series

Arithmetic sequences, geometric sequences, sigma notation, and binomial expansion.

sequencesseriesarithmetic
4

Differentiation

Differentiation from first principles, derivatives of polynomials, tangents, normals, and stationary points.

differentiationderivativestangent
5

Integration

Indefinite integration, definite integration, and area under curves.

integrationarea under curveindefinite

Past Papers by Year

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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)!).

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