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Fractions Of Amounts Worksheet
Help your students prepare for their Maths GCSE with this free fractions of amounts worksheet of 43 questions and answers
- Section 1 of the fractions of amounts worksheet contains 36 skills-based fractions of amounts questions, in 3 groups to support differentiation
- Section 2 contains 4 applied fractions of amounts questions with a mix of word problems and deeper problem solving questions
- Section 3 contains 3 foundation and higher level GCSE exam style fractions of amounts questions
- Answer sheets and a mark scheme for all fractions of amounts questions are provided
- Questions follow variation theory with plenty of opportunities for students to work independently at their own level
- All maths resources created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Fractions of amounts at a glance
Finding fractions of an amount is a key skill for proportional reasoning. The simplest case is considering unit fractions of amounts – for example, finding ⅕ of 10. It is important that students understand that finding one fifth is the same as dividing by the denominator 5.
Taking this a stage further, we consider non-unit fractions where the numerator is not 1, such as finding ⅗ of 10. Here we divide by 5 to find the value of ⅕ of the amount, then multiply by the numerator to find ⅗ as required. A bar model can be particularly useful when practising these basic ideas, so students can cut the bar into fifths and shade the appropriate amount.
When finding fractions of a number, the result may not always be a whole number and students may need to apply concepts from decimal arithmetic – for example, finding ¼ of 30. Students may also be asked to calculate fractions of quantities or measurements – for example, finding ¼ of 300g.
Looking forward, students can then progress to additional number worksheets, for example a percentage worksheet or a rounding worksheet.
For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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