Name: Date:

Question 1: A piece of wood is cut into two in the ratio 5 : 9. If the shorter piece is 20cm, work out the length of the longer piece. |

Question 2: Noah and Chloe share out money in the ratio 7 : 11. Chloe receives £28 more than Noah. How much do they each receive? |

Question 3: Boots normally sell 500ml bottles of shampoo for £6.05 each. There is a special offer, 3 for 2. Planet Organic sell 200ml bottles of shampoo for £2.67 each. There is a special offer 40% off. Which is the best value? |

Question 4: The ratio of boys to girls joining a secondary school is 7 : 8 . 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 72 grams, how much zinc and copper was used? |

Question 6: Alyssa wants to change £115 into Australian dollars. The exchange rate is £1 = $2.09. How much will they receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 12. If 168g of mushrooms are used, calculate the quantity of olives used. |

Question 8: Yellow paint costs £2.40 per litre, red paint costs £1.60 per litre and blue paint costs £2.90 per litre. Yellow, red and blue paint is mixed together in the ratio 1 : 2 : 9 . If 12 litres of red paint is used, work out the total cost of the paint mixture. |

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# Answers

Question 1: 36 cm |

Question 2: Noah receives £49, Chloe receives £77 |

Question 3: The best value is Planet Organic with a cost per litre of £8.01 correct to 2 d.p. |

Question 4: 56 boys, 64 girls |

Question 5: 30g of zinc, 42g of copper |

Question 6: $240.35 |

Question 7: 14g of olives are used |

Question 8: £190.20 |