Six graded worksheets on surds for GCSE Higher, with full mark schemes. Builds from simplifying and rationalising the denominator through to surd problems and equations.

How the series builds:

Simplifying, multiplying and dividing — √n to a√b, products, quotients and powers
Adding and subtracting — simplifying surds and collecting like terms
Expanding brackets — single and double brackets, squares and conjugates
Rationalising the denominator I — single-surd denominators
Rationalising the denominator II — conjugate (two-term) denominators
Surd problems and equations — solving, finding unknowns and writing in the form a + b√n

Board-agnostic (AQA, Edexcel, OCR) and supplied as print-ready PDFs — 6 worksheets and 6 mark schemes, with answers in exact, simplified form throughout. Ideal for KS4 higher-tier lessons, homework, starters, revision and exam practice.