IAL Pure 2 Integration exam questions

Exam-style integration questions for Edexcel IAL Pure 2 (WMA12): definite integrals, areas between curves and the trapezium rule, with full worked solutions.

This resource covers the whole of Chapter 8 (Integration) of the Pearson Edexcel International A Level Pure Mathematics 2 course, extending the Pure 1 techniques into area problems and numerical methods. All questions are original.

What’s covered

Definite integrals and evaluating limits
Areas under curves, including regions below the x-axis
Areas between a curve and a straight line
Areas between two curves
The trapezium rule and its use for approximating an area
Whether the trapezium rule over- or underestimates, and why

How to use it

Suitable as homework, as in-class practice, or as revision. The trapezium rule questions ask students to justify whether the estimate is too large or too small, which is a standard WMA12 demand and is almost always answered by reference to the curve’s concavity rather than by guesswork.

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 2 (WMA12), Chapter 8. Also suitable for Edexcel A Level Mathematics 9MA0 and for any A Level course covering definite integration and the trapezium rule.