AQA · Mathematics · 8300

GCSE Maths: Ratio: express as fractions or %

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Ratio: express as fractions or % (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. If the ratio of red apples to green apples is 1:2, what fraction of the apples are red?

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    1/3. The total parts are 1 + 2 = 3, so red apples are 1 out of 3 parts.

  2. If the ratio of blue pens to black pens is 3:5, what fraction of the pens are black?

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    5/8. The total parts are 3 + 5 = 8, so black pens are 5 out of 8 parts.

  3. If the ratio of cows to pigs is 2:3, what percentage of the animals are cows?

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    40%. The total parts are 2 + 3 = 5, so cows are 2/5 = 0.4 = 40%.

  4. If the ratio of blue to pink to orange counters is 4:5:2, what fraction of the counters are blue?

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    4/11. The total parts are 4 + 5 + 2 = 11, so blue counters are 4 out of 11 parts.

  5. If a drink contains lemonade and orange juice in the ratio 13:7, what percentage of the drink is lemonade?

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    65%. The total parts are 13 + 7 = 20, so lemonade is 13/20 = 0.65 = 65%.

  6. If 80% of cards are orange and the rest are purple, what is the ratio of orange to purple cards?

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    4:1. Orange is 80% and purple is 20%, so the ratio is 80:20, which simplifies to 4:1.

  7. If 30% of counters are red and the rest are yellow, what is the ratio of yellow to red counters?

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    7:3. Yellow is 70% and red is 30%, so the ratio is 70:30, which simplifies to 7:3.

  8. If 1/3 of beads are white and the rest are grey, what is the ratio of white to grey beads?

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    1:2. White is 1/3 and grey is 2/3, so the ratio is 1:2.

  9. If a team won 1/6 of their matches and lost the rest, what is the ratio of matches won to matches lost?

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    1:5. Won is 1/6 and lost is 5/6, so the ratio is 1:5.

  10. If 3/4 of apples are red and the rest are green, what is the ratio of red to green apples?

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    3:1. Red is 3/4 and green is 1/4, so the ratio is 3:1.

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