Name: Date:

Question 1: A piece of wood is cut into two in the ratio 2 : 5 such that the longer piece is 36cm more than the shorter piece. Work out the length of each part. |

Question 2: Oliver and Olivia share out money in the ratio 5 : 11. Olivia receives £60 more than Oliver. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 5 : 6 . If 3 more DVDs than CDs are sold, 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 28 more girls than boys, how many boys and girls joined? |

Question 5: A copper alloy is made by mixing zinc and copper in the ratio 4 : 11 . If there are 28 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Noah, Emily and Debbie share out sweets in the ratio 2 : 3 : 5. Debbie receives 27 more sweets than Noah. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 2 : 3 : 6. If 51g more mushrooms than peppers are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.90 per litre, red paint costs £2.60 per litre and blue paint costs £2.30 per litre. Yellow, red and blue paint is mixed together in the ratio 1 : 2 : 6 . If 12 more litres of blue paint is used than red paint, work out the total cost of the paint mixture. |

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# Answers

Question 1: 24 cm, 60 cm |

Question 2: Oliver receives £50, Olivia receives £110 |

Question 3: 15 CDs, 18 DVDs |

Question 4: 35 boys, 63 girls |

Question 5: 16g of zinc, 44g of copper |

Question 6: Noah receives 18 sweets, Emily receives 27 sweets and Debbie receives 45 sweets |

Question 7: 34g of olives, 51g of peppers and 102g of mushrooms |

Question 8: £65.70 |