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Prerequisites
Estimating percentages of quantities
Before working out precise percentages of quantities, it can be helpful to make estimates so that you can sense-check your eventual answer. For example, you can quickly work out that 26% of 362 must be a little more than 25% or 360 i.e. it must be greater than 90.
Interactive applet: finding a percentage of a given quantity
Part 1 – Finding percentages multiplicatively using decimals
Teacher resources for Part 1
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- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
- Skills drill worksheet (15 questions on one side of A4; answers included)
Links to past exam questions
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Unlimited practice questions: Turning a percentage into a decimal multiplier
Unlimited practice questions: Turning a percentage into a decimal multiplier
Part 2 – Finding percentage changes multiplicatively using decimals
Click to play video
Teacher resources
Teachers: log in to access the following:
- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
- Skills drill worksheet (15 questions on one side of A4; answers included)
Links to past exam questions
Teachers: log in to access these.
Unlimited practice: Turning a 'percentage change' question into a 'find a percentage of...' question
Unlimited practice: Percentage change using decimal multipliers
In the real world
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What next?
- R9d – Solving original value problems involving percentage change
- R9e – Comparing two quantities using percentages
- Percentages assorted problems – requiring knowledge of R9b, R9c, R9d and R9e