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Question 1: A piece of wood is cut into two in the ratio 7 : 11. If the shorter piece is 84cm, work out the length of the longer piece. |

Question 2: Noah and Becky share out money in the ratio 3 : 7. If Becky receives £56, how much does Noah receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 8 . If 24 DVDs are sold, how many CDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 2 : 5 . If 30 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 20 grams of copper, how much zinc was used? |

Question 6: Harry, Chloe and Debbie share out sweets in the ratio 2 : 3 : 10. If Debbie receives 100 sweets, calculate how many sweets Chloe receives. |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 5 : 7 : 8. If 160g of mushrooms are used, calculate the quantity of olives used. |

Question 8: Yellow paint costs £1.60 per litre, red paint costs £2.40 per litre and blue paint costs £1.50 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 6 : 7 . If 28 litres of blue paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 132 cm |

Question 2: Noah receives £24 |

Question 3: 9 CDs |

Question 4: 12 boys |

Question 5: 15g of zinc |

Question 6: Chloe receives 30 sweets |

Question 7: 100g of olives are used |

Question 8: £112.40 |