Indices (8300 - Higher - Number)

Topic:Indices

Specification references (in recommended teaching order)

Specification content Specification notes
N6
  • Use positive integer powers and associated real roots (square, cube and higher)
  • Recognise powers of 2, 3, 4, 5
  • Estimate powers and roots of any given positive number

  • including square numbers up to 15 x 15
  • know that `1000 = 10^3` and 1 million `= 10^6`

N7
  • Calculate with roots, and with integer and fractional indices



The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

  • All students will develop confidence and competence with the content identified by standard type
  • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
  • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below
Downloadable resource in format. 29/08/2014

Diagnostic Questions - Indices
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.01/03/2016
Diagnostic Questions - indices 1
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
Diagnostic Questions - indices 2
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
Diagnostic Questions - indices 3
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017

Catchphrase: Squares, Roots and Cubes
A powerpoint introducing squares, square roots, cubes and cube roots, with differentiated exercises and some fairly challenging metal calculations in a 'Catchphrase' style plenary activity. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
CIMT: Laws of indices
Introduction to the laws of indices followed by an online exercise.04/08/2015
Index Laws Quiz
Student select a level of difficulty and have a varied amount of time to work out the answer, timed by the Crystal Maze music. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
Indices matching cards
Students must match up the cards to make sets of three cards which simplify to give the same answer.04/08/2015
Maths is Fun: Exponents
An introduction to the use of indices, including what is meant by negative indices (higher tier only), followed by ten online questions.04/08/2015
Negative and fractional indices treasure hunt
An activity which can be used as a treasure hunt or dominoes containing some demanding fractional and negative indices questions and allows opportunity to practise substitution into expressions containing indices.04/08/2015
Tarsia Indices
Eight tarsia activities involving simplification of index expressions and the laws of indices. Some of the tarsia activities are suitable for Foundation tier students. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
Transum Indices
Online exercises involving the evaluation and simplification of surds. Levels 1 and 2 are suitable for Foundation tier students, level 7 offers an extension challenge for very able Higher tier students.04/08/2015

Square root golf - Estimating roots
A useful activity to estimate the roots of integers other than perfect squares. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Indices and standard form - Dominoes worksheet 2
Downloadable resource in doc format. 27/05/2010
Indices and standard form - Dominoes worksheet 3
Downloadable resource in doc format. 27/05/2010
Indices and standard form - Further indices - Lesson plan 1
Downloadable resource in doc format. 26/06/2010
Indices and standard form - Homework Sheet and Mark Scheme
Downloadable resource in doc format. 08/04/2010
Indices and standard form - Lesson plan 2
Downloadable resource in doc format. 26/06/2010
Indices and standard form - Worksheet 1
Downloadable resource in doc format. 27/05/2010
Indices and standard form - Worksheet 4
Downloadable resource in doc format. 26/05/2010

Topic Tests

8300 GCSE Higher Indices Mark Scheme
Downloadable resource in pdf format. 09/11/2022
8300 GCSE Higher Indices Topic Test
Downloadable resource in pdf format. 09/11/2022

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