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Question 1: A piece of wood is cut into two in the ratio 3 : 7. If the longer piece is 77cm, work out the length of the shorter piece. |

Question 2: Jack and Becky share out money in the ratio 3 : 5. If Jack receives £18, how much does Becky receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 4 . If 27 CDs are sold, how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 2 : 3 . If 10 boys joined, then how many girls joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 7 : 8 . If there are 80 grams of copper, how much zinc was used? |

Question 6: Alfie, Elaine and Chloe share out sweets in the ratio 3 : 4 : 5. If Chloe receives 35 sweets, calculate how many sweets Elaine receives. |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 4 : 5 : 6. If 90g of mushrooms are used, calculate the quantity of peppers used. |

Question 8: Yellow paint costs £2.90 per litre, red paint costs £2.00 per litre and blue paint costs £1.20 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 6 . If 12 litres of red paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 33 cm |

Question 2: Becky receives £30 |

Question 3: 36 DVDs |

Question 4: 15 girls |

Question 5: 70g of zinc |

Question 6: Elaine receives 28 sweets |

Question 7: 75g of peppers are used |

Question 8: £76.00 |