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Question 1: A piece of wood is of length 56 cm. The length is divided in the ratio 2 : 5. Work out the length of each part. |

Question 2: Charlie and Elaine share £24 in the ratio 3 : 5. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 7 : 9 . If 160 are sold in total, how many CDs and how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 3 : 7 . If there are 120 new students joining the school, how many boys and girls joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 5 : 7 . If the alloy weighs 84 grams, how much zinc and copper was used? |

Question 6: Jack, Emily and Olivia share out 99 sweets in the ratio 1 : 2 : 6. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 2 : 3 : 6. Altogether 132g of pizza toppings are used, how much of each topping is there? |

Question 8: Yellow paint costs £1.90 per litre, red paint costs £2.70 per litre and blue paint costs £2.60 per litre. Yellow, red and blue paint is mixed together in the ratio 1 : 2 : 8 . Work out the cost of 55 litres of the paint mixture. |

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# Answers

Question 1: 16 cm, 40 cm |

Question 2: Charlie receives £9, Elaine receives £15 |

Question 3: 70 CDs, 90 DVDs |

Question 4: 36 boys, 84 girls |

Question 5: 35g of zinc, 49g of copper |

Question 6: Jack receives 11 sweets, Emily receives 22 sweets and Olivia receives 66 sweets |

Question 7: 24g of olives, 36g of peppers and 72g of mushrooms |

Question 8: £140.50 |