Name: Date:

Question 1: A piece of wood is cut into two in the ratio 3 : 7 such that the longer piece is 12cm more than the shorter piece. Work out the length of each part. |

Question 2: Harry and Debbie share out money in the ratio 4 : 11. Debbie receives £35 more than Harry. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 3 : 4 . If 8 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 7 : 11 . If there are 44 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 3 : 8 . If there are 35 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Oscar, Emily and Becky share out sweets in the ratio 4 : 5 : 6. Becky receives 12 more sweets than Emily. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 1 : 2 : 8. If 60g more mushrooms than peppers are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.50 per litre, red paint costs £1.60 per litre and blue paint costs £2.00 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 6 : 7 . If 4 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: 9 cm, 21 cm |

Question 2: Harry receives £20, Debbie receives £55 |

Question 3: 24 CDs, 32 DVDs |

Question 4: 77 boys, 121 girls |

Question 5: 21g of zinc, 56g of copper |

Question 6: Oscar receives 48 sweets, Emily receives 60 sweets and Becky receives 72 sweets |

Question 7: 10g of olives, 20g of peppers and 80g of mushrooms |

Question 8: £114.40 |