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Brackets with Indices Worksheet

Brackets with Indices Worksheet

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Help your students prepare for their Maths GCSE with this free brackets with indices worksheet of 56 questions and answers

  • Section 1 of the brackets with indices worksheet contains 48 skills-based brackets with indices questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied brackets with indices questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE comprehensive exam practice questions on brackets with indices 
  • Answers and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions are created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
  • Many additional algebra worksheets are available, including solving equations, the quadratic formula, and inequalities

Download your free resource today

  • To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

  • This field is for validation purposes and should be left unchanged.

You can unsubscribe at any time (each email we send will contain an easy way to unsubscribe). To find out more about how we use your data, see our privacy policy.

Brackets with indices at a glance

 

The laws of indices are rules for simplifying expressions involving powers (indices) with the same base. These expressions can be numeric or algebraic. This topic involves application of one of the laws of indices – dealing with single brackets and indices, distributing the power outside the bracket across the terms inside the bracket. 

 

When working with numerical expressions with a single number base, we follow the order of operations and apply the law for brackets with indices. We then evaluate to get the final answer. When working with expressions with an algebraic base, we use the law for brackets with indices; our goal here is to simplify the expression fully. The final answer will usually still contain algebraic terms.

 

Misconceptions often arise where students forget to apply the power to any coefficients within the bracket. We can extend to more challenging problems, including dealing with fractions and fractional indices. 

 

Students may be asked to apply algebra and geometry skills in the same question – for example, solving practice questions using area, volume and surface area to brackets with indices. They may also be required to work backwards from the final answer to find a missing power.

 

Before studying this topic, it is important that students are secure with basic algebraic manipulation of algebraic expressions, simplifying expressions, expanding brackets and factorising.

 

Once students have mastered these concepts, they can progress to further manipulation of algebraic expressions, including negative indices and fractional indices (Higher only). They could also study expanding brackets, including quadratic or double brackets, and solving equations.

 

GCSE-resources-worksheets

 

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

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