GCSE Maths Higher - Further Algebra

Master Further Algebra 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 Algebra 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 Further Algebra 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
Changing the subject of a formula where the subject appears multiple times
Rationalising the denominator of fractions involving surds
Simplifying algebraic fractions using quadratic factorisation
Multiplying and dividing algebraic fractions (including non-monic quadratics)
Adding and subtracting algebraic fractions with quadratic denominators
Solving equations involving algebraic fractions that lead to quadratics
Functions, including substitution, composite functions, and inverse functions
Solving equations with inverse functions
Equating coefficients to determine constants in algebraic identities
Formal algebraic proof and proving properties of consecutive integers

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 12 distinct high-level skills
Structured repetition without overload
Encourages reflection using RAG ratings
Full mark schemes to support learning from mistakes
Strong focus on algebraic fluency and rigorous proof

Student Benefits
Clear progression through all Further Algebra 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 20 in the Trip Maths sequence.