Name: Date:

Question 1: A piece of wood is of length 135 cm. The length is divided in the ratio 7 : 8. Work out the length of each part. |

Question 2: Jack and Emily share £216 in the ratio 7 : 11. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 4 . If 14 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 5 : 9 . If there are 98 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 4 : 7 . If the alloy weighs 33 grams, how much zinc and copper was used? |

Question 6: Alfie, Olivia and Alyssa share out 40 sweets in the ratio 2 : 3 : 5. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 9. Altogether 132g of pizza toppings are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.90 per litre, red paint costs £1.10 per litre and blue paint costs £2.20 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 6 . Work out the cost of 33 litres of the paint mixture. |

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# Answers

Question 1: 63 cm, 72 cm |

Question 2: Jack receives £84, Emily receives £132 |

Question 3: 6 CDs, 8 DVDs |

Question 4: 35 boys, 63 girls |

Question 5: 12g of zinc, 21g of copper |

Question 6: Alfie receives 8 sweets, Olivia receives 12 sweets and Alyssa receives 20 sweets |

Question 7: 11g of olives, 22g of peppers and 99g of mushrooms |

Question 8: £66.90 |