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Question 1: A piece of wood is cut into two in the ratio 2 : 5. If the longer piece is 35cm, work out the length of the shorter piece. |

Question 2: Oliver and Debbie share out money in the ratio 4 : 11. If Oliver receives £24, how much does Debbie receive? |

Question 3: A shop sells CDs and DVDs in the ratio 4 : 7 . If 12 CDs are sold, how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 4 : 5 . If 60 girls joined, then how many boys joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 3 : 4 . If there are 30 grams of zinc, how much copper was used? |

Question 6: Alfie, Elaine and Alyssa share out sweets in the ratio 1 : 2 : 9. If Alyssa receives 36 sweets, calculate how many sweets Alfie receives. |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 4. If 68g of mushrooms are used, calculate the quantity of peppers used. |

Question 8: Yellow paint costs £2.30 per litre, red paint costs £1.30 per litre and blue paint costs £1.50 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 5 . If 12 litres of red paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 14 cm |

Question 2: Debbie receives £66 |

Question 3: 21 DVDs |

Question 4: 48 boys |

Question 5: 40g of copper |

Question 6: Alfie receives 4 sweets |

Question 7: 34g of peppers are used |

Question 8: £64.00 |