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MathidiaMathematics Academy
Decimals and percentages
Lesson 29 of 75
Challenge

Percentages of amounts

Objective. Calculate familiar and composite percentages mentally.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Percentages of amounts is built on a small number of dependable facts. Connect fractions, decimals and percentages in calculations and contexts. Represent the information first, choose a method deliberately, show each step and use an inverse operation or estimate to check that the result fits the question.

Worked example

Write 0.5 as a percentage.

0.5
Illustrated card showing 0.5
  1. 1Identify the mathematical information and what must be found.
  2. 2Represent it with a number line, diagram, table or expression where helpful.
  3. 3Apply the relevant fact carefully and keep each line clear.
  4. 4Check the result against the conditions in the question: 50%.

Answer: 50%

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

Complete a practice set to see your concept breakdown here.

Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

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Common mistake. A common mistake in percentages of amounts is to apply a remembered procedure before reading the signs, units or order carefully. Write the structure first, then calculate and check.

Your progress

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