Solving Quadratic Equations GCSE Maths Booklets | Foundation & Higher + Mark Schemes

Practise every GCSE method for solving quadratics, from simple square roots to the quadratic formula and completing the square.

What’s included
• Foundation Tier practice booklet: 30 questions, 86 marks (15 pages)
• Higher Tier practice booklet: 30 questions, 122 marks (16 pages)
• Full mark scheme for each 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.

Foundation Tier covers
• Solving equations of the form x² = k and x² + c = k
• Solving by factorising (a = 1), including x² + bx = 0
• Solving quadratics using a graph

Higher Tier covers
• Factorising where a > 1
• The quadratic formula, with answers to 2 decimal places
• Completing the square, with answers in surd form
• Forming and solving quadratics from area problems

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.