Name: Date:

Question 1: A piece of wood is cut into two in the ratio 7 : 8 such that the longer piece is 2cm more than the shorter piece. Work out the length of each part. |

Question 2: Alfie and Becky share £80 in the ratio 3 : 7. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 8 . If 33 CDs are sold, how many DVDs are sold? |

Question 4: The ratio of boys to girls joining a secondary school is 3 : 4 . If 36 girls joined, then how many boys joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 7 : 11 . If there are 16 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Selfridges normally sell 70ml bottles of perfume for £262.50 each. There is a special offer, 3 for 2. Harrods sell 50ml bottles of perfume for £226.36 each. There is a special offer 45% off. Which is the best value? |

Question 7: Chloe wants to change some pounds into Euros. The exchange rate in London is £1 = €1.10. The exchange rate in Germany is €1 = £0.87. In which city would they get the most Euros? |

Question 8: Amelia wants to change some pounds into Japanese Yen. The exchange rate in London is £1 = ¥173. The exchange rate in Tokyo is ¥1 = £0.0056. In which city would they get the most Yen? |

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# Answers

Question 1: 14 cm, 16 cm |

Question 2: Alfie receives £24, Becky receives £56 |

Question 3: 88 DVDs |

Question 4: 27 boys |

Question 5: 28g of zinc, 44g of copper |

Question 6: The best value is Harrods with a cost per litre of £2,489.96 correct to 2 d.p. |

Question 7: Exchanging pounds in Germany would return the most Euros. |

Question 8: Exchanging pounds in Tokyo would return the most Yen. |