GCSE & iGCSE Compound Measures worksheet

Compound measures worksheet for GCSE and iGCSE maths: speed, density, pressure, rates and distance-time graphs. Foundation and Higher, with full solutions.

A complete compound measures worksheet for Pearson Edexcel GCSE (1MA1) and International GCSE (4MA1), written so one resource works for both tiers. Every section is clearly labelled Foundation or Higher, and questions get harder as you go.

What’s covered — Foundation

Using speed, density and pressure, and rearranging each formula
Working with times in hours and minutes
Rates such as flow and pay
Reading distance-time graphs

What’s covered — Higher (grades 6 to 9)

Average speed over several stages
Mixtures and combined densities
Pressure problems
Meeting and catch-up problems

How it’s structured

A. Worked examples & Your turn — a model solution beside a matching question to try
B. Fluency — core skills
C. Reasoning — explain it
D. Problem solving — unfamiliar, multi-step questions
E. Exam practice — exam-style questions with mark allocations

126 marks across Sections B to E (65 Foundation, 61 Higher), with a progress tracker on the front page so students can record their score per section. Average speed over several stages is included properly, so students meet the fact that you cannot simply average the two speeds.

How to use it

Works as a full lesson, homework, a cover lesson or targeted intervention. Because each tier is labelled, you can set the Foundation sections to one group and the Higher sections to another from the same print.

What’s included

13-page worksheet (PDF, printable, with answer spaces)
7-page full worked solutions (PDF) — complete method for every question, not just final answers
Calculator allowed

Specification

Pearson Edexcel GCSE Mathematics (1MA1) and International GCSE Mathematics (4MA1), Ratio, Proportion and Rates of Change. All questions are original.