GCSE Maths Higher - Equations of Graphs

Master Equations of Graphs for GCSE Higher Maths with this comprehensive Try, Review, Identify, Practise workbook, designed to support students working towards grades 6–9.

This professionally structured resource provides complete coverage of Equations of Graphs topics from the GCSE Higher specification using authentic past exam questions. Ideal for classroom teaching, homework, intervention, tutoring, or independent revision.

What’s Included
Full Equations of Graphs topic coverage for GCSE Higher Maths
Structured Try, Review, Identify, Practise (TRIP) method
Two closely matched exam-style questions per skill
Questions taken from real GCSE past papers
Complete mark scheme (including shadow answers)
RAG (Red/Amber/Green) self-assessment on every question
Print-ready PDF – no preparation required

Topics Covered
Finding the turning point of a quadratic graph by completing the square
Finding the equation of and the turning point of a quadratic graph given its roots
Completing tables of values for cubic graphs
Recognising the shapes of quadratic, cubic, reciprocal, and exponential graphs
Finding the equation of a tangent to a circle centred at the origin
Drawing horizontal lines to determine approximate solutions to quadratic equations
Using fixed point iteration to approximate solutions to equations
Expanding triple brackets in the form (x ± a)(bx + c)(dx ± e)
Solving simultaneous equations graphically
Sketching quadratic graphs with turning points and intercepts

The Try, Review, Identify, Practise Approach
Each skill is practised using two parallel exam questions:
Try the first question independently
Review using the mark scheme
Identify mistakes or misconceptions
Practise immediately with the shadow question

This structure builds confidence, accuracy, and exam technique, helping students secure methods before working independently.

Perfect For
GCSE Higher Maths classroom lessons
Homework and weekly revision tasks
Intervention and catch-up sessions
Private tutoring
Independent study
Cover lessons (fully self-contained)

Why This Resource Works
Exam-authentic questions from past papers
Systematic coverage across 10 distinct skills
Structured repetition without overload
Encourages reflection using RAG ratings
Full mark schemes to support learning from mistakes
Strong focus on linking algebraic methods to graphical representations

Student Benefits
Clear progression through all Equations of Graphs topics
Practice with genuine GCSE exam questions
Immediate application of each skill twice
Builds confidence and exam readiness
Helps identify strengths and gaps quickly

Part of a complete 28-workbook GCSE Higher Maths revision course (also available as a full bundle). Can be used standalone or as part of a structured revision programme – Week 17 in the Trip Maths sequence.