Algebraic Proof GCSE Maths Higher Booklet + Mark Scheme

Build confidence with one of the most feared Higher Tier question types. Students learn to set up general expressions for even, odd and consecutive numbers and write clear, complete algebraic proofs.

What’s included
• Higher Tier practice booklet: 30 questions, 130 marks (24 pages)
• Full mark scheme for the booklet, giving the answer and worked method for every question

Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath.

Topics covered
• Proving expressions such as n(n + 1) are always even
• Consecutive odd and even number proofs
• Proving (n + a)² − (n − a)² is always a multiple of a given number
• Difference of two squares arguments
• Proving identities involving algebraic fractions

Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.