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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

**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 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

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