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Quadratic equations appear throughout the higher tier GCSE paper and are a significant step up from linear equations. Students need to factorise, complete the square, and use the quadratic formula to find solutions.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Forgetting that x squared = 9 gives x = 3 and x = -3 (two solutions)
Sign errors when substituting into the quadratic formula
Failing to rearrange the equation to equal zero before factorising
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Factorising is the reverse of expanding brackets and is essential for solving quadratics, simplifying expressions, and working with algebraic fractions. Students progress from single-bracket factorisation to double brackets and the difference of two squares.
AlgebraQuadratic graphs produce a characteristic U-shape (parabola) and are tested at both foundation and higher tier. Students must plot quadratics from tables, identify key features like turning points and roots, and use graphs to solve equations.
AlgebraSimultaneous equations require students to find values that satisfy two equations at the same time. Foundation students solve linear pairs, while higher-tier students tackle one linear and one quadratic equation together.
Everything you need to know about revising for GCSE Maths in 2026. From building a revision schedule to mastering every topic area, this comprehensive guide covers exam structure, study strategies, and expert tips to maximise your grade.
Study TipsA detailed breakdown of the 10 most challenging GCSE Maths topics on the Higher tier. For each topic, understand why it is difficult, the most common mistakes, and practical strategies to master it.
Online LearningDiscover online maths games that make learning advanced concepts fun and accessible. From algebra puzzles to geometry challenges, these games build real skills without students even realising it.
Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in algebra.