Starter quiz
- 40% of 120 is ______.
- '48' ✓
- 22% of 520 is ______.
- '114.4' ✓
- 31% of 440 is ______.
- '136.4' ✓
- Which of the following calculations is equivalent to 49% of 200?
- 0.49 × 200 ✓
- 49 × 200
- 100 − 2 ✓
- 100 − 20
-
- Match each calculation with the equivalent percentage statement.
- 0.12 × 560⇔12% of 560 ✓
- 0.21 × 560⇔21% of 560 ✓
- 0.012 × 560⇔1.2% of 560 ✓
- 0.021 × 560⇔2.1% of 560 ✓
- 19% of 840 is ______.
- '159.6' ✓
Exit quiz
- Decrease 40 by 20%.
- '32' ✓
- Decrease 700 by 30%.
- '490' ✓
- Match each question to an equivalent question.
- Decrease 450 by 12%⇔Work out 88% of 450 ✓
- Decrease 450 by 20%⇔Work out 80% of 450 ✓
- Decrease 450 by 80%⇔Work out 20% of 450 ✓
- Decrease 450 by 1.2%⇔Work out 98.8% of 450 ✓
- Match each statement with the correct multiplier.
- Decrease by 22%⇔×0.78 ✓
- Decrease by 2%⇔×0.98 ✓
- Decrease by 80%⇔×0.2 ✓
- Decrease by 8%⇔×0.92 ✓
- Decrease 600 by 39%.
- '366' ✓
- Match each calculation to its answer.
- Decrease 460 by 21%⇔363.4 ✓
- Decrease 800 by 52%⇔384 ✓
- Decrease 70 by 2%⇔68.6 ✓
- Decrease 400 by 12%⇔352 ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A bar model can be used to find a percentage decrease.
- A double number line can be used to find a percentage decrease.
- A ratio table can be used to find a percentage decrease.
- In all of these representations a single multiplier can be used to find a percentage decrease.
Common misconception
Pupil can often get confused with increasing and decreasing an amount e.g Increase 45 by 23% and decreasing 45 by 23% have the same multiplier.
Encourage students to draw double number lines or ratio tables so they can see the increase and multiplier or decrease and multiplier.
Keywords
Proportionality - If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained.
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