Help your students prepare for their Maths GCSE with this free adding and subtracting surds worksheet of 44 questions and answers
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.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.