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Question 1: A piece of wood is cut into two in the ratio 7 : 8. If the longer piece is 24cm, work out the length of the shorter piece. |

Question 2: Oscar and Becky share out money in the ratio 3 : 8. If Becky receives £16, how much does Oscar receive? |

Question 3: A shop sells CDs and DVDs in the ratio 7 : 9 . If 70 CDs are sold, how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 5 : 11 . If 44 girls joined, then how many boys joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 4 : 5 . If there are 35 grams of copper, how much zinc was used? |

Question 6: Jack, Alyssa and Emily share out sweets in the ratio 3 : 4 : 5. If Emily receives 30 sweets, calculate how many sweets Jack receives. |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 2 : 3 : 5. If 60g of mushrooms are used, calculate the quantity of olives used. |

Question 8: Yellow paint costs £2.40 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 : 4 . If 12 litres of red paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 21 cm |

Question 2: Oscar receives £6 |

Question 3: 90 DVDs |

Question 4: 20 boys |

Question 5: 28g of zinc |

Question 6: Jack receives 18 sweets |

Question 7: 24g of olives are used |

Question 8: £58.80 |