Simplifying Surds Worksheet

• Section 1 of the simplifying surds worksheet contains 36 skills-based simplifying surds questions, in 3 groups to support differentiation
• Section 2 contains 3 applied simplifying surds questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 8 foundation and higher level GCSE exam questions on simplifying surds
• Answers and a mark scheme for all simplifying surds questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Simplifying surds at a glance

Surds are numbers written as square roots. Surds are used to give very accurate values for answers by using square roots of non square numbers. Surds are irrational numbers. When written as decimals surds go on endlessly with no pattern. You cannot write irrational numbers as fractions with integer numerators and denominators.

We can sometimes simplify surds by taking out any square factors of the number under the root. A surd is in its simplest form when the number under the root sign has no factors which are square numbers.

Looking forward, students can then progress to additional number worksheets, for example aor a

For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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