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Algebraic fractions combine fraction skills with algebraic manipulation and are tested at higher tier. Students must simplify, add, subtract, multiply and divide fractions that contain variables, often needing to factorise first.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Cancelling individual terms instead of factors (e.g., cancelling x from (x+1)/x)
Forgetting to find a common denominator when adding algebraic fractions
Not factorising fully before attempting to simplify
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Fractions form the backbone of GCSE maths, appearing in nearly every paper. Students must be confident adding, subtracting, multiplying and dividing fractions, as well as converting between improper fractions and mixed numbers.
AlgebraFactorising 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.
AlgebraRearranging 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.
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 practical, step-by-step guide to improving from a grade 4 to a grade 7 in GCSE Maths. Covers diagnosing weak areas, mastering fundamentals, building exam technique, and knowing when to get expert help.
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.
Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in algebra.