Name: Date:

Question 1: A piece of wood is of length 40 cm. The length is divided in the ratio 3 : 7. Work out the length of each part. |

Question 2: Noah and Alyssa share £77 in the ratio 3 : 8. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 4 : 11 . If 45 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 2 : 5 . If there are 84 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 2 : 3 . If the alloy weighs 10 grams, how much zinc and copper was used? |

Question 6: Oliver, Amelia and Elaine share out 66 sweets in the ratio 1 : 2 : 8. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 4. Altogether 70g of pizza toppings are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.50 per litre, red paint costs £2.60 per litre and blue paint costs £1.10 per litre. Yellow, red and blue paint is mixed together in the ratio 5 : 6 : 4 . Work out the cost of 45 litres of the paint mixture. |

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# Answers

Question 1: 12 cm, 28 cm |

Question 2: Noah receives £21, Alyssa receives £56 |

Question 3: 12 CDs, 33 DVDs |

Question 4: 24 boys, 60 girls |

Question 5: 4g of zinc, 6g of copper |

Question 6: Oliver receives 6 sweets, Amelia receives 12 sweets and Elaine receives 48 sweets |

Question 7: 10g of olives, 20g of peppers and 40g of mushrooms |

Question 8: £97.50 |