GCSE & iGCSE Histograms worksheet

Histograms worksheet for GCSE and iGCSE maths: class widths, frequency density, unequal class widths and estimating the median. With full worked solutions.

A complete histograms 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

Finding class widths and midpoints
Reading and drawing frequency diagrams with equal class widths
Estimating how many values lie in part of a class

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

Frequency density
Drawing and reading histograms with unequal class widths
Estimating the median and mean from a histogram

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

123 marks across Sections B to E (61 Foundation, 62 Higher), with a progress tracker on the front page so students can record their score per section. Equal class widths come first so that frequency density arrives as a fix for a problem students have already met, not as an unexplained formula.

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

14-page worksheet (PDF, printable, with answer spaces)
6-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), Statistics. All questions are original.