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Function notation is a higher-tier topic that formalises the input-output relationship. Students evaluate, combine, and find inverses of functions, building skills that are directly extended at A-Level.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Confusing fg(x) with gf(x) — the order matters
Writing the inverse as 1/f(x) instead of properly rearranging for x
Forgetting to swap x and y when finding an inverse function
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Rearranging formulae requires students to change the subject of an equation, using the same inverse-operation skills as solving equations but with multiple variables. Higher-tier questions involve subjects that appear twice or under roots and powers.
AlgebraStraight-line graphs are tested at every tier and form the basis for understanding gradients, intercepts and real-world modelling. Students need to plot lines from equations, find gradients and interpret y = mx + c.
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.
A 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.
Exam PreparationEverything 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.
Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in algebra.