Name: Date:

Question 1: A piece of wood is cut into two in the ratio 2 : 3 such that the longer piece is 7cm more than the shorter piece. Work out the length of each part. |

Question 2: Oscar and Emily share out money in the ratio 5 : 6. Emily receives £11 more than Oscar. How much do they each receive? |

Question 3: A shop sells CDs and DVDs in the ratio 2 : 7 . If 25 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 3 : 4 . If there are 10 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 7 : 11 . If there are 32 more grams of copper than zinc, how much zinc and copper was used? |

Question 6: Charlie, Olivia and Chloe share out sweets in the ratio 1 : 2 : 6. Chloe receives 60 more sweets than Charlie. How much do they each receive? |

Question 7: Olives, peppers and mushrooms are put on a pizza in the ratio 3 : 4 : 5. If 26g more mushrooms than olives are used, how much of each topping is there? |

Question 8: Yellow paint costs £2.70 per litre, red paint costs £1.40 per litre and blue paint costs £2.40 per litre. Yellow, red and blue paint is mixed together in the ratio 2 : 3 : 4 . If 6 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: 14 cm, 21 cm |

Question 2: Oscar receives £55, Emily receives £66 |

Question 3: 10 CDs, 35 DVDs |

Question 4: 30 boys, 40 girls |

Question 5: 56g of zinc, 88g of copper |

Question 6: Charlie receives 12 sweets, Olivia receives 24 sweets and Chloe receives 72 sweets |

Question 7: 39g of olives, 52g of peppers and 65g of mushrooms |

Question 8: £115.20 |