Volume (8300 - Higher - Geometry and measures)

Topic:Volume

Specification references (in recommended teaching order)

Specification content Specification notes
R12
  • Compare lengths, areas and volumes using ratio notation
  • Scale factors
  • Make links to similarity 


G16
  • Know and apply the formulae to calculate the volume of cuboids and other right prisms (including cylinders)


    G17
    • Calculate the volume of spheres, pyramids, cones and composite solids

    • including frustums

    N8
    • Calculate exactly with multiples of `pi`



      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 - volume 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.25/07/2017
      Diagnostic Questions - volume 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.25/07/2017
      Diagnostic Questions - volume 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.25/07/2017
      Diagnostic Questions - volume 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.25/07/2017

      GCSE Bitesize Volume and Surface Area
      An introduction to the formulae for finding the volume of a pyramid, cone or frustrum.05/08/2015

      Changing Areas, Changing Volumes
      This activity provides useful revision of surface area. Students consider the volume of nine cubes / cuboids and place them in the correct location on a grid depending on their volume and surface area. 05/08/2015
      Grouping Volumes
      Students find the volume of a number of spheres, cones, cylinders, triangular prisms and cuboids and identify those solids which have the same volume.05/08/2015
      Ice Cream Investigation
      An investigation in which students can ask a limited number of questions about measurements in order to answer questions about the surface area and volume of ice creams. This involves the volume of spheres, cones and frustrums and some revision work on surface area. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015
      Standards Unit: SS4 Evaluating statements about perimeter and area
      One of the activities in this lesson involves evaluating the truth of a range of statements about enlargements and the subsequent effect on area and volume.05/08/2015
      Transum - Volume
      A series of 3 online activities in which students find the volume of a range of solids including cuboids, cones, spheres and prisms with a range of cross sections. The level 3 activities involve working with multiples of π.05/08/2015

      Frustrums
      A powerpoint which explains the method for finding the volume of the frustrum of a cone or pyramid, with an associated worksheet. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

      Topic Tests

      8300 GCSE Higher Volume (Spheres and Cones) Mark Scheme
      Downloadable resource in pdf format. 09/09/2022
      8300 GCSE Higher Volume (Spheres and Cones) Topic Test
      Downloadable resource in pdf format. 09/09/2022
      8300 GCSE Higher Volume of a Prism Mark Scheme
      Downloadable resource in pdf format. 09/09/2022
      8300 GCSE Higher Volume of a Prism Topic Test
      Downloadable resource in pdf format. 09/09/2022

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