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Learning objective

1 Determine a specified percentage of a given amount. 2 Represent one amount as a percentage of another. 3 Compute percentage increases or decreases. 4 Perform calculations involving simple and compound interest, which may include scenarios with repeated percentage changes. Note that formulas will not be provided. 5 Execute calculations using reverse percentages, such as finding the original price when given the selling price and the percentage profit. Percentage calculations may involve: deposits, discounts, profit and loss (expressed as either a value or a percentage), earnings, and percentages exceeding 100%.

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  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended NumberSupplement content

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Quick explanation

1 Determine a specified percentage of a given amount. 2 Represent one amount as a percentage of another. 3 Compute percentage increases or decreases. 4 Perform calculations involving simple and compound interest, which may include scenarios with repeated percentage changes. Note that formulas will not be provided. 5 Execute calculations using reverse percentages, such as finding the original price when given the selling price and the percentage profit. Percentage calculations may involve: deposits, discounts, profit and loss (expressed as either a value or a percentage), earnings, and percentages exceeding 100%

  • This point belongs to Percentages, especially Percentages outcomes.
  • You need to be able to 1 Determine a specified percentage of a given amount. 2 Represent one amount as a percentage of another. 3 Compute percentage increases or decreases. 4 Perform calculations involving simple and compound interest, which may include scenarios with repeated percentage changes. Note that formulas will not be provided. 5 Execute calculations using reverse percentages, such as finding the original price when given the selling price and the percentage profit. Percentage calculations may involve: deposits, discounts, profit and loss (expressed as either a value or a percentage), earnings, and percentages exceeding 100%.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

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This objective helps connect Percentages outcomes to exam-style questions, flashcards, and revision notes for Percentages.

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Paper 2 structured question: Percentages

Paper 2Core or Extended Mathematics3 marks

Description

Profit Calculation

A shop sells a bicycle for £360. The shop makes a profit of 20% on the cost price.

  1. a

    Calculate the cost price of the bicycle.

    Aim for approximately 3 distinct marking points.

    [3]
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