AQA · Mathematics · 8300

GCSE Maths: Ratio: simplifying

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Ratio: simplifying (Corbettmaths Video 269), 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. What is the simplest form of the ratio 4 : 6?

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    2 : 3 (divide both terms by the greatest common factor, 2)

  2. What is the simplest form of the ratio 30 : 10?

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    3 : 1 (divide both terms by 10)

  3. What is the simplest form of the ratio 48 : 60?

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    4 : 5 (divide both terms by 12)

  4. What is the simplest form of the ratio £4 to £20?

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    1 : 5 (divide both by 4; units cancel when they're the same)

  5. What is the first step when simplifying a ratio with different units, such as 8 days to 2 weeks?

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    Convert both quantities to the same unit (e.g., 8 days to 14 days, giving 8:14, which simplifies to 4:7)

  6. What is the simplest form of the ratio 1 hour to 15 minutes?

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    4 : 1 (convert 1 hour to 60 minutes, giving 60:15, which simplifies to 4:1)

  7. How do you express the ratio 2 : 3 in the form 1 : n?

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    1 : 1.5 (divide both terms by 2)

  8. How do you express the ratio 7 : 2 in the form n : 1?

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    3.5 : 1 (divide both terms by 2)

  9. Daisy mixes 50 ml of orange juice with 200 ml of water. What is the ratio of orange juice to water in simplest form?

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    1 : 4 (50:200 simplifies by dividing by 50)

  10. At a football match there are 3000 men and 1800 women. What is the ratio of male fans to female fans in simplest form?

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    5 : 3 (3000:1800 simplifies by dividing by 600)

  11. Aidan is 12, Bill is 9, and Cara is 3. What is the ratio of their ages in simplest form?

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    4 : 3 : 1 (12:9:3 simplifies by dividing by 3)

  12. In a nursery with 5 adults and 14 children, what is the ratio of adults to children in the form 1 : n?

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    1 : 2.8 (divide both 5 and 14 by 5)

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