GCSE Maths Higher - Vectors and Proof

Master Vectors and Proof 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 Vector 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 Vectors and Proof 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

• Identifying column vectors from diagrams and coordinate points
• Scalar multiplication and vector arithmetic (addition and subtraction)
• Finding vectors involving midpoints and specific sub-routes
• Determining ratios by expressing vectors through multiple routes or different scalars
• Collinearity proofs using vector variables to show three points lie on a straight line
• Solving complex vector problems by the introduction of a scalar
• Ratio problems involving vector extensions and intersections in geometric shapes

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 9 distinct high-level skills
• Structured repetition without overload
• Encourages reflection using RAG ratings
• Full mark schemes to support learning from mistakes
• Strong focus on geometric reasoning and formal vector proof

Student Benefits

• Clear progression through all Vectors and Proof 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 21 in the Trip Maths sequence.