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Question 1: A box contains brown shapes and green shapes. Some of the shapes are hexagons and the rest are pentagons. The ratio of brown shapes to green shapes is 5 : 6. The ratio of brown hexagons to brown pentagons is 4 : 7. The ratio of green hexagons to green pentagons is 5 : 7. Work out what fraction of all the shapes are hexagons. |

Question 2: In a company, the ratio of men to women is 2 : 3. If 90% of the men are under the age of 25 and 80% of the women are under the age of 25. What percentage of all the people in the company are under the age of 25? |

Question 3: 4:7=2x+34:x+77 \quad Solve for x |

Question 4: 5:7=2x+49:x+74 \quad Solve for x |

Question 5: 4:5=2x+12:x+24 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 3:4. Then 36 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 3 : 1. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 5:9. Then $24 are added to the wallet, so that the new ratio of dollars to pounds is 7 : 9. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 7:11. Then 36 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 37 : 53. Calculate how many blue counters are in the box now. |

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# Answers

Question 1: {\Large\frac{95}{242}} |

Question 2: 84% |

Question 3: x = 7 |

Question 4: x = 3 |

Question 5: x = 6 |

Question 6: 16 sweets |

Question 7: £108 |

Question 8: 212 blue counters. |