Non-Linear Simultaneous Equations GCSE Maths Higher Booklet + Mark Scheme

Higher Tier practice on solving a linear and a non-linear equation together, both algebraically and graphically.

What’s included
• Higher Tier practice booklet: 30 questions, 134 marks (25 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
• Solving a linear and a quadratic equation by substitution
• Graphical solutions using a drawn line and curve
• Showing a line is a tangent to a curve and finding the point of contact
• Estimating intersections of a line and a circle x² + y² = r²

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.