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Question 1: A piece of wood is cut into two in the ratio 2 : 7 such that the longer piece is 55cm more than the shorter piece. Work out the length of each part. |

Question 2: Noah and Olivia share out money in the ratio 4 : 5. Olivia receives £5 more than Noah. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 7 : 9 . If 16 more DVDs than CDs are sold, how many CDs and how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 3 : 8 . If there are 50 more girls than boys, how many boys and girls joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 5 : 7 . If there are 6 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Oscar, Alyssa and Becky share out sweets in the ratio 3 : 4 : 5. Becky receives 18 more sweets than Oscar. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 2 : 3 : 10. If 98g more mushrooms than peppers are used, how much of each topping is there? |

Question 8: Yellow paint costs £1.10 per litre, red paint costs £1.40 per litre and blue paint costs £1.60 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 6 : 7 . If 15 more litres of blue paint is used than yellow paint, work out the total cost of the paint mixture. |

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# Answers

Question 1: 22 cm, 77 cm |

Question 2: Noah receives £20, Olivia receives £25 |

Question 3: 56 CDs, 72 DVDs |

Question 4: 30 boys, 80 girls |

Question 5: 15g of zinc, 21g of copper |

Question 6: Oscar receives 27 sweets, Alyssa receives 36 sweets and Becky receives 45 sweets |

Question 7: 28g of olives, 42g of peppers and 140g of mushrooms |

Question 8: £65.40 |