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Question 1: A piece of wood is cut into two in the ratio 5 : 6 such that the longer piece is 3cm more than the shorter piece. Work out the length of each part. |

Question 2: Oliver and Chloe share out money in the ratio 3 : 8. Chloe receives £35 more than Oliver. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 7 : 8 . If 6 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 14 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 : 7 . If there are 27 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Alfie, Amelia and Emily share out sweets in the ratio 1 : 2 : 4. Emily receives 24 more sweets than Amelia. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 3. If 12g more mushrooms than peppers are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.00 per litre, red paint costs £1.50 per litre and blue paint costs £1.60 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 6 . If 16 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: 15 cm, 18 cm |

Question 2: Oliver receives £21, Chloe receives £56 |

Question 3: 42 CDs, 48 DVDs |

Question 4: 8 boys, 22 girls |

Question 5: 36g of zinc, 63g of copper |

Question 6: Alfie receives 12 sweets, Amelia receives 24 sweets and Emily receives 48 sweets |

Question 7: 12g of olives, 24g of peppers and 36g of mushrooms |

Question 8: £72.40 |