IAL Pure 1 Integration exam questions

An integration worksheet for Edexcel IAL Pure 1 (WMA11): indefinite and definite integrals, finding functions, and areas under curves, with full worked solutions.

This worksheet covers the whole of Chapter 9 (Integration) of the Pearson Edexcel International A Level Pure Mathematics 1 course, from routine integration through to the area problems that close the WMA11 paper.

What’s covered

Integrating x to the power n, including negative and fractional powers
Indefinite integrals and the constant of integration
Finding f(x) given f’(x) and a point on the curve
Definite integrals
Areas under curves
Areas below the x-axis, and areas between a curve and a line

How to use it

Suitable as homework, as in-class practice, or as revision. The area questions escalate genuinely rather than repeating the same shape with different numbers: later parts introduce a region split by an intersection, a region below the axis, and an exact-value answer.

What’s included

Question paper (PDF, printable, with diagrams)
Full worked solutions (PDF) — complete method, not just final answers
Questions arranged in increasing difficulty

Specification

Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 9. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering introductory integration.