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Question 1: A piece of wood is cut into two in the ratio 4 : 11 such that the longer piece is 77cm more than the shorter piece. Work out the length of each part. |

Question 2: Alfie and Olivia share out money in the ratio 7 : 11. Olivia receives £16 more than Alfie. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 7 . If 48 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 2 : 5 . If there are 15 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 3 : 4 . If there are 9 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Oscar, Chloe and Debbie share out sweets in the ratio 1 : 2 : 3. Debbie receives 6 more sweets than Chloe. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 3 : 4 : 8. If 80g more mushrooms than olives are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.30 per litre, red paint costs £2.40 per litre and blue paint costs £1.60 per litre. Yellow, red and blue paint is mixed together in the ratio 1 : 2 : 12 . If 60 more litres of blue paint is used than red paint, work out the total cost of the paint mixture. |

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# Answers

Question 1: 44 cm, 121 cm |

Question 2: Alfie receives £28, Olivia receives £44 |

Question 3: 36 CDs, 84 DVDs |

Question 4: 10 boys, 25 girls |

Question 5: 27g of zinc, 36g of copper |

Question 6: Oscar receives 6 sweets, Chloe receives 12 sweets and Debbie receives 18 sweets |

Question 7: 48g of olives, 64g of peppers and 128g of mushrooms |

Question 8: £157.80 |