AQA · Mathematics · 8300

GCSE Maths: Ratio: difference between

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Ratio: difference between (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. In a ratio problem, if yellow and blue blocks are in ratio 1:3 with 8 more blue than yellow, how many yellow blocks are there?

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    8 yellow blocks. The difference in ratio parts is 3 − 1 = 2 parts, representing 8 blocks. So 1 part = 4 blocks, meaning 1 × 4 = 8 yellow blocks.

  2. In a ratio problem, if yellow and blue blocks are in ratio 1:3 with 8 more blue than yellow, how many blue blocks are there?

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    12 blue blocks. Since 1 part = 4 blocks, there are 3 × 4 = 12 blue blocks.

  3. If the ratio of boys to girls is 2:3 and there are 6 more girls than boys, how many girls are there?

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    18 girls. The difference is 3 − 2 = 1 part = 6 students. So 3 parts = 3 × 6 = 18 girls.

  4. If Thomas and Emma share money in ratio 3:5 and Emma receives £30 more, how much does Emma receive?

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    £75. The difference is 5 − 3 = 2 parts = £30, so 1 part = £15. Emma gets 5 × £15 = £75.

  5. If Thomas and Emma share money in ratio 3:5 and Emma receives £30 more, how much does Thomas receive?

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    £45. Since 1 part = £15, Thomas gets 3 × £15 = £45.

  6. If the ratio of tea to coffee preference is 9:5 and 36 more people prefer tea, how many people were surveyed in total?

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    126 people. The difference is 9 − 5 = 4 parts = 36 people, so 1 part = 9. Total = 9 + 5 = 14 parts = 14 × 9 = 126 people.

  7. If the ratio of Mollie's age to Heather's age is 4:9 and Heather is 40 years older, how old is Mollie?

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    32 years old. The difference is 9 − 4 = 5 parts = 40 years, so 1 part = 8 years. Mollie's age = 4 × 8 = 32 years.

  8. In a ratio problem with red, purple, and green beads in ratio 4:6:7, if there are 1428 more green than red beads, how many green beads are there?

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    3332 green beads. The difference is 7 − 4 = 3 parts = 1428 beads, so 1 part = 476. Green beads = 7 × 476 = 3332.

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