IAL Pure 1 Radians exam questions

A radians worksheet for Edexcel IAL Pure 1 (WMA11): radian measure, arc length, and areas of sectors and segments, with full worked solutions.

This worksheet covers the whole of Chapter 7 (Radians) of the Pearson Edexcel International A Level Pure Mathematics 1 course, including the exact-value and segment-area problems that WMA11 uses as multi-mark questions.

What’s covered

Converting between degrees and radians
Exact values of trigonometric ratios in radians
Arc length using s = rθ
Area of a sector using ½r²θ
Area of a segment
Multi-step problems combining sectors, segments and triangles, with answers left in exact form

How to use it

Suitable as homework, as consolidation, or as revision before an assessment. Answers in terms of π are required throughout the later questions, since leaving a decimal where an exact value is asked for is one of the most common mark losses on this topic.

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 7. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering radian measure at AS.