IAL Pure 4 Integration exam questions

Exam-style integration questions for Edexcel IAL Pure 4 (WMA14): substitution, by parts, partial fractions and differential equations. With full solutions.

This resource covers the whole of Chapter 6 (Integration) of the Pearson Edexcel International A Level Pure Mathematics 4 course. All questions are original and written in the style of the WMA14 paper — these are not reproduced past paper questions.

What’s covered

Integration by substitution, including choosing the substitution
Integration by parts, including repeated application
Integration using partial fractions
Solving first order differential equations by separating the variables
Finding the particular solution from given conditions
Modelling with differential equations

How to use it

Works as homework, as consolidation across a sequence of lessons, or as revision before the WMA14 paper. The longest chapter in the unit and the one carrying the most marks on WMA14, so the sheet is weighted accordingly, with the differential equation questions set in context.

What’s included

Question paper (PDF, printable)
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 4 (WMA14), Chapter 6. Also suitable for Edexcel A Level Mathematics 9MA0 and for any A Level course covering this material at A2.