GCSE Maths Higher - Proportion and Graphs

Master Proportion and Graphs for GCSE Higher Maths with this comprehensive Try, Review, Identify, Practise workbook, designed to support students working towards grades 7–9.

This professionally structured resource provides complete coverage of advanced Proportion and Graph 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 Proportion and 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
Plotting reciprocal graphs and identifying their key features
Identifying the y-intercept of exponential graphs
Determining unknown values in exponential functions
Exponential modeling to make predictions from data points
Solving trigonometric equations using graphs (within and outside the range)
Transformations of functions, including translations and reflections
Determining new equations of functions after algebraic translations
Sketching transformed trigonometric graphs
Velocity-time graphs: Estimating distance (area under curve) and acceleration (gradient)
Advanced proportionality: Inverse proportion involving powers and roots
Compound proportionality: Connecting relationships with a common variable
Recognising graph shapes for direct, inverse, and square proportionality

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 14 distinct high-level skills

Structured repetition without overload

Encourages reflection using RAG ratings

Full mark schemes to support learning from mistakes

Strong focus on graph interpretation and multi-step proportional reasoning

Student Benefits
Clear progression through all Proportion and Graph 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. Can be used standalone or as part of a structured revision programme – Week 22 in the Trip Maths sequence.