Maths Resources GCSE Worksheets


Adding And Subtracting Surds Worksheet

Adding And Subtracting Surds Worksheet

Help your students prepare for their Maths GCSE with this free adding and subtracting surds worksheet of 44 questions and answers

  • Section 1 of the adding and subtracting surds worksheet contains 36 skills-based adding and subtracting surds questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied adding and subtracting surds questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam style questions on adding and subtracting surds
  • Answers and a mark scheme for all adding and subtracting 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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Adding and subtracting surds at a glance


Surds are numbers left as square roots. They are used to give exact values for answers which are square roots of non square numbers. Surds are irrational numbers which means that, when written as decimals, they go on forever without any pattern. Irrational numbers cannot be written as fractions with integer numerators and denominators.


To add and subtract surds, the number under the root sign must be the same. We can only add or subtract two surds with different numbers under the roots if we can simplify one or both of them so that they have the same number under the root. 


After we have added or subtracted the surds we can simplify surds by taking out factors which are square numbers. Surds are in their 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 a fractions worksheet or a rounding worksheet.



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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