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Question 1: A piece of wood is cut into two in the ratio 5 : 7 such that the longer piece is 10cm more than the shorter piece. Work out the length of each part. |

Question 2: Noah and Debbie share out money in the ratio 5 : 9. Debbie receives £24 more than Noah. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 4 . If 8 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 4 : 11 . If there are 28 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 4 : 5 . If there are 7 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Oscar, Alyssa and Olivia share out sweets in the ratio 2 : 3 : 6. Olivia receives 27 more sweets than Alyssa. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 5. If 60g more mushrooms than peppers are used, how much of each topping is there? |

Question 8: Yellow paint costs £1.40 per litre, red paint costs £1.70 per litre and blue paint costs £1.90 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 6 : 7 . If 5 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: 25 cm, 35 cm |

Question 2: Noah receives £30, Debbie receives £54 |

Question 3: 24 CDs, 32 DVDs |

Question 4: 16 boys, 44 girls |

Question 5: 28g of zinc, 35g of copper |

Question 6: Oscar receives 18 sweets, Alyssa receives 27 sweets and Olivia receives 54 sweets |

Question 7: 20g of olives, 40g of peppers and 100g of mushrooms |

Question 8: £131.50 |