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Surds are irrational numbers left in root form and tested exclusively at higher tier. Students must simplify, add, subtract, multiply and rationalise surds, skills that also prepare them for A-Level mathematics.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Thinking the square root of a + b equals the square root of a plus the square root of b
Forgetting to simplify fully (e.g., leaving root 8 instead of 2 root 2)
Errors when expanding brackets containing surds
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Index laws are a core algebra and number skill tested at both foundation and higher tier. Higher-tier students must also handle negative and fractional indices, making this a topic that bridges number work with algebraic manipulation.
Geometry & MeasuresPythagoras' theorem relates the three sides of a right-angled triangle and is one of the most practical geometry topics at GCSE. It is used in 2D and 3D problems, coordinate geometry, and combined with trigonometry at higher tier.
AlgebraQuadratic 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.
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.
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.
Exam PreparationA clear guide to the differences between GCSE Maths Foundation and Higher tiers. Understand grade ranges, content differences, and how to make the right choice for your child's target grade and confidence level.
Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in number.