Name: Date:

Question 1: A piece of wood is cut into two in the ratio 7 : 9 such that the longer piece is 18cm more than the shorter piece. Work out the length of each part. |

Question 2: Jacob and Becky share out money in the ratio 4 : 5. Becky receives £3 more than Jacob. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 4 : 11 . If 49 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 2 : 3 . If there are 12 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 5 : 11 . If there are 12 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Oliver, Emily and Chloe share out sweets in the ratio 4 : 5 : 6. Chloe receives 20 more sweets than Oliver. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 2 : 3 : 7. If 80g more mushrooms than olives are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.90 per litre, red paint costs £2.10 per litre and blue paint costs £2.70 per litre. Yellow, red and blue paint is mixed together in the ratio 1 : 2 : 4 . If 9 more litres of blue paint is used than yellow paint, work out the total cost of the paint mixture. |

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# Answers

Question 1: 63 cm, 81 cm |

Question 2: Jacob receives £12, Becky receives £15 |

Question 3: 28 CDs, 77 DVDs |

Question 4: 24 boys, 36 girls |

Question 5: 10g of zinc, 22g of copper |

Question 6: Oliver receives 40 sweets, Emily receives 50 sweets and Chloe receives 60 sweets |

Question 7: 32g of olives, 48g of peppers and 112g of mushrooms |

Question 8: £53.70 |