R5a – Dividing a quantity in a given ratio, and expressing the division of a quantity as a ratio

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Prerequisites

Skill isolation: Understanding the concept of “parts” in a ratio

Part 1 – Dividing a quantity in a given ratio, and expressing the division of a quantity as a ratio

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)
- Worked solutions to all questions

Card sort

Mashup activity: From radius to angles to area

Links to past exam and UKMT questions

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Visual representation of sharing in a given ratio

Type in a quantity and adjust the red and blue sliders for to set a ratio. Then drag down the black slider for a step-by-step solution:

Part 2 – Finding the quantity shared or the ratio in which the quantity was shared given information about individual shares

Teacher resources for Part 2

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)
- Worked solutions to all questions

Links to past exam questions

Teachers: log in to access these.

Unlimited practice questions

Ratios and distances

In the real world

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What next?

R5b – Applying ratio to real contexts
Ratio assorted problems – requiring knowledge of R3a, R4a, R5a, and R5b
R6a – Expressing a multiplicative relationship between two quantities as a ratio or a fraction