Finding turning points by completing the square
Turning points are where a curve changes direction — like the
Algebra
Algebra is where many students move from “doing calculations” to working with unknowns, patterns and general rules. These worksheets are designed to help students practise one skill at a time before combining ideas in harder GCSE questions. Start with simplifying and solving equations if confidence is low, then move towards factorising, formulae, sequences and graphs.
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Completing the square
Completing the square is a method used to solve quadratic
Expanding single brackets - easier problems
You’ll often come across expressions like 3(x + 4)
Algebra balancing tool
Whether you're in a chemistry lab or managing
Substitution - multiplication and indices
Algebraic substitution is a handy technique used to simplify complex
Simple substitution
Algebraic substitution is like solving a puzzle — you replace letters
HCF of algebraic expressions
Finding the Highest Common Factor (HCF) of algebraic expressions is
Equations of horizontal, vertical (and common diagonal) lines
Horizontal and vertical lines are all around us—think of
Solving harder quadratics by factorising
When solving harder quadratic equations you're tackling problems
Solving quadratic equations by factorising
Solving quadratic equations by factorising is like finding the hidden