All About Maths

Basic decimals (8300 - Higher - Number)

Topic:Basic decimals

Route Map

Specification references (in recommended teaching order)

Specification content Specification notes
N1
  • Order positive and negative decimals

    N2
    • Apply the four operations, including formal written methods, to decimals – both positive and negative
    • Understand and use place value (e.g. when calculating with decimals)
    • including questions set in context (knowledge of terms used in household finance, for example profit, loss, cost price, selling price, debit, credit and balance, income tax, VAT, interest rate)
    N10
    • Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and `7/2` or 0.375 and `3/8`) including ordering
    • Change recurring decimals into their corresponding fractions and vice versa


      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 - Basic Decimals
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.26/02/2016
      E-library
      Type(s): Diagnostic Questions (e-library)

      Decimals Jeopardy Game
      Online game to practise addition, subtraction and multiplication of decimals. Students can play individually or in up to 4 different teams. The questions have four levels of difficulty in each round. 02/06/2015
      E-library
      Type(s): Activities (e-library) | Game (e-library)
      Inequalities
      The level 4 activity involves placing the correct inequality symbol between two measurements given in different units (eg mm and cm) and involving decimals.02/06/2015
      E-library
      Type(s): Activities (e-library)
      Noodle Whack
      Starter activity in which students must divide two integers in order to identify a 'noodle whack' - a decimal with a single repeated recurring digit. 02/06/2015
      E-library
      Type(s): Activities (e-library)
      Ordering Game
      Online activity in which students must 'drag and drop' the number cards into the correct order. Several decimal ordering games of differing levels of difficulty are available in the menu. 02/06/2015
      E-library
      Type(s): Activities (e-library)
      Recurring Decimals
      A starter activity in which students must identify two integers which can be divided to produce a given recurring decimal. 02/06/2015
      E-library
      Type(s): Activities (e-library)
      Recurring Decimals Loop Cards
      A set of loop cards which require students to convert from a recurring decimal to a fraction. Students could have one card each and complete the activity as a class, or each pair of students could have one set of loop cards. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
      E-library
      Type(s): Activities (e-library)
      Spiralling Decimals
      An activity in which two students must alternately place given decimals between 0 and 1 in the correct position on a spiral. 02/06/2015
      E-library
      Type(s): Activities (e-library)

      Converting Fractions, Decimals and Percentages differentiated
      Differentiated worksheet in which students must convert between fractions, decimals and percentages (the columns for percentages could be omitted if preferred as this topic occurs later in the routemap; student are likely to be familiar with percentages from Key Stage 3 however). You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
      E-library
      Type(s): Worksheets (e-library)
      Decimal Worksheets
      A bank of worksheets which allows practise and consolidation of the four operations on decimals. 02/06/2015
      E-library
      Type(s): Worksheets (e-library)
      Real life calculations with decimals
      A series of 26 contexts in which students carry out calculations with decimals using the four operations. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
      E-library
      Type(s): Worksheets (e-library)
      Real life decimals problem solving
      Students use calculations with decimals to solve problems in the context of insurance. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
      E-library
      Type(s): Worksheets (e-library)

      Decimals Jeopardy Game
      Online game to practise addition, subtraction and multiplication of decimals. Students can play individually or in up to 4 different teams. The questions have four levels of difficulty in each round. 02/06/2015
      E-library
      Type(s): Activities (e-library) | Game (e-library)

      Decimals Powerpoint
      A powerpoint from Mr Barton Maths which discusses different types of decimals, shows methods for the four operations and illustrates how to convert a recurring decimal to a fraction. (Section 4 is only suitable for Higher tier students.) You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
      E-library
      Type(s): Miscellaneous (e-library)

      Topic Tests

      8300 GCSE Higher Ordering Decimals Mark Scheme
      Downloadable resource in pdf format. 30/09/2022
      220 KB
      Related resources: Fractions and decimals | Basic decimals
      8300 GCSE Higher Ordering Decimals Topic Test
      Downloadable resource in pdf format. 30/09/2022
      221 KB
      Related resources: Fractions and decimals | Basic decimals
      Exampro

      Access thousands of exam questions with Exampro Mathematics

      Sign up to All About Maths

      Create, edit, and share assessments quickly and easily with Exampro Mathematics

      Quick links