Relative frequency worksheet for GCSE and iGCSE maths: estimating probability, expected frequency, frequency trees and fairness. With full solutions.

A complete relative frequency 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

Working out relative frequencies and using them to estimate probabilities
Finding expected frequencies
Completing and using frequency trees
Deciding whether something is fair, and explaining why more trials are better

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

Expected profit
Working backwards from an expected frequency
Probabilities from frequency trees

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 (62 Foundation, 61 Higher), with a progress tracker on the front page so students can record their score per section. Frequency trees are included here rather than left to the tree diagram sheet, since the exam uses them as a Foundation-tier tool in their own right.

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), Probability. All questions are original.