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Question 1: A piece of wood is cut into two in the ratio 2 : 5. If the longer piece is 15cm, work out the length of the shorter piece. |

Question 2: Oscar and Amelia share out money in the ratio 4 : 7. If Oscar receives £20, how much does Amelia receive? |

Question 3: A shop sells CDs and DVDs in the ratio 7 : 9 . If 14 CDs are sold, how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 5 : 9 . If 81 girls joined, then how many boys joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 5 : 6 . If there are 40 grams of zinc, how much copper was used? |

Question 6: Charlie, Emily and Chloe share out sweets in the ratio 4 : 5 : 6. If Chloe receives 72 sweets, calculate how many sweets Charlie receives. |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 7. If 126g 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 £2.80 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 4 . If 20 litres of blue paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 6 cm |

Question 2: Amelia receives £35 |

Question 3: 18 DVDs |

Question 4: 45 boys |

Question 5: 48g of copper |

Question 6: Charlie receives 48 sweets |

Question 7: 18g of olives are used |

Question 8: £99.50 |