AQA · Mathematics · 8300

GCSE Maths: Ratio: given two ratios

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Ratio: given two ratios (Corbettmaths Video 271), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. If blue to green counters is 3:2 and green to yellow is 2:5, what is the combined ratio of blue to green to yellow?

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    3:2:5. The green part is already the same (2) in both ratios, so combine directly.

  2. When combining two ratios with a common middle term, what must be done if the middle term values differ?

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    Scale one or both ratios so that the middle term has the same value in both ratios, then combine.

  3. Given the ratio of Scott to Georgia to Fiona is 11:6:7 and Oscar to Georgia is 3:4, what is the ratio of Fiona to Oscar?

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    14:9. Scale Oscar:Georgia (3:4) by 1.5 to get 4.5:6, then scale to whole numbers (9:12). Fiona is 14 when Georgia is 12, so Fiona:Oscar = 14:9.

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