Chi-Squared Distribution Revision Notes | CIE 9231 Further Probability & Statistics -Paper 4

These Chi-Squared Distribution Revision Notes are a clear, visual, and exam-focused resource designed for Cambridge International Examination Further Probability & Statistics (9231) - Paper 4. Perfect for A Level learners, teachers, and tutors, this pack explains the chi-square distribution in a concise, step-by-step format that improves understanding and exam performance.

This resource is provided as a 63-page PDF file, professionally organised and ready to print or use digitally in the classroom or for independent revision.

This resource includes handwritten, color-coded explanations directly from the teacher, making complex concepts simpler and more memorable. Every key idea-from contingency tables to expected values and p-values is broken down using examples that mirror CIE exam questions.

What’s Included
✔ Clear explanation of the Chi-Squared Distribution
✔ Goodness-of-Fit tests (Uniform, Binomial, Poisson, Normal) with worked examples
✔ Independence tests using contingency tables
✔ Step-by-step guidance
✔ Fully annotated diagrams & graphs
✔ Exam-focused examples similar to CIE past papers
✔ Teacher-friendly layout for quick revision or classroom teaching

Perfect For

• CIE Further Mathematics 9231-Paper 4
• A Level Probability & Statistics students
• Teachers preparing revision lessons or exam prep sessions
• Students who need a clear guide to hypothesis testing and χ² distribution
• Independent study, flipping classrooms, and tutoring