Basic percentages (8300 - Higher - Number)

Topic:Basic percentages

Specification references (in recommended teaching order)

Specification content Specification notes
R9
  • Define percentage as ‘number of parts per hundred’
  • Interpret percentages and percentage changes as a fraction or decimal and interpret these multiplicatively
  • Express one quantity as a percentage of another
  • Compare two quantities using percentages
  • Work with percentages greater than 100%


    N12
    • Interpret fractions and percentages as operators

    • including interpreting percentage problems using a multiplier


    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 Percentages
    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

    Fractions, decimals and percentages - Nuffield Foundation
    A lesson of activities in which students convert between fractions, decimals and percentages. Good revision of Key Stage 3 work. 11/06/2015

    Fractions, decimals and percentages - Nuffield Foundation
    A lesson of activities in which students convert between fractions, decimals and percentages. Good revision of Key Stage 3 work. 11/06/2015
    Introduction to Percentages
    A basic introduction to percentages, including conversion to fractions and decimals. There are 10 interactive multiple choice questions for students to try. 11/06/2015
    Match the cards
    A pairs card matching game which can be played online or downloaded. Students calculate percentage amounts eg Find 40% of 80% of £15' and pair up calculations with the correct answers.11/06/2015
    Mathland Election
    A problem set in the context of percentage changes in election results in which students must calculate the number of votes obtained by each party in a recent election. 11/06/2015
    Odd Percent Out
    Students must identify which percentage calculation is the odd one out. 11/06/2015
    One or Both
    A problem solving activity in which students must work out how many students take an examination from given percentage information.11/06/2015
    Percentage increase and decrease with a multiplier
    An activity in which students must identify the correct multiplier for a required increase and decrease. There are also some context based questions. You will need to register for a TES account to access this resource, this is free of charge. 11/06/2015
    Percentage Unchanged
    A problem involving percentage change in the context of area.11/06/2015
    The Legacy
    Students must calculate models for how a legacy of £1 000 000 could be invested in order to benefit a school for a period of 50 years. Spreadsheets will be needed to carry out the calculations. 11/06/2015

    PercenTable
    A good starter activity in which students must quickly calculate standard percentages of various amounts.11/06/2015

    PercenTable
    A good starter activity in which students must quickly calculate standard percentages of various amounts.11/06/2015

    Fractions, decimals and percentages - Nuffield Foundation
    A lesson of activities in which students convert between fractions, decimals and percentages. Good revision of Key Stage 3 work. 11/06/2015
    Percentage increase and decrease with a multiplier
    An activity in which students must identify the correct multiplier for a required increase and decrease. There are also some context based questions. You will need to register for a TES account to access this resource, this is free of charge. 11/06/2015

    Fractions, decimals and percentages - Finding the original quantity - Worksheet and Answers
    Downloadable resource in doc format. 15/08/2010
    Fractions, decimals and percentages - Fractions and decimals - Powerpoint 2
    Downloadable resource in ppt format. 11/08/2010
    Fractions, decimals and percentages - Lesson plan 2
    Downloadable resource in doc format. 07/09/2010
    Percentages - Fraction, Decimal, Starter - Powerpoint
    Downloadable resource in ppt format. 14/08/2010
    Percentages - One number as a percentage of another - Lesson Plan
    Downloadable resource in doc format. 15/08/2010
    Percentages - One Number as a Percentage of Another - Worksheet
    Downloadable resource in doc format. 13/08/2010
    Percentages - Percentage Multiplier Activity - Activity Sheet
    Downloadable resource in doc format. 09/08/2010

    Topic Tests

    8300 GCSE Higher Percentage Change Mark Scheme
    Downloadable resource in pdf format. 24/11/2022
    8300 GCSE Higher Percentage Change Topic Test
    Downloadable resource in pdf format. 24/11/2022
    8300 GCSE Higher Percentages Mark Scheme
    Downloadable resource in pdf format. 24/11/2022
    8300 GCSE Higher Percentages Topic Test
    Downloadable resource in pdf format. 24/11/2022
    8300 GCSE Higher Reverse Percentages Mark Scheme
    Downloadable resource in pdf format. 24/11/2022
    8300 GCSE Higher Reverse Percentages Topic Test
    Downloadable resource in pdf format. 24/11/2022

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