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Ratio – Difference Known worksheet

Suitable for Year groups: 8, 9
GCSE Tier:
Foundation
Targeting grades: 1-3
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Prerequisite knowledge: Division facts. Dividing an amount into a given ratio.
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Ratio – Difference Known worksheet description

This worksheet provides a structured approach to solving ratio problems where the difference between quantities is known.

In Section A learners will compare two questions: one where the ratio is given and a total, in the other a ratio is given and the difference between the quantities is known. Learners will consider how the two different problems can be solved.

In Section B, pupils will answer a set of 8 minimally different questions. The problems require students to calculate not just one missing quantity but also the total number of individuals based on a given ratio.

Section C takes the application further by introducing more complex scenarios, including medal counts in the Olympics and inheritance divisions, requiring students to work with multi-part ratios and differences.

This worksheet is an excellent resource for reinforcing ratio knowledge, ensuring students develop confidence and accuracy in working with ratios.

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