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Question 1: A box contains brown shapes and blue shapes. Some of the shapes are circles and the rest are pentagons. The ratio of brown shapes to blue shapes is 3 : 7. The ratio of brown circles to brown pentagons is 2 : 9. The ratio of blue circles to blue pentagons is 4 : 5. Work out what fraction of all the shapes are circles. |

Question 2: In a company, the ratio of men to women is 8 : 17. If 30% of the men are under the age of 25 and 90% 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: 2:9=2x-10:x+19 \quad Solve for x |

Question 4: 4:5=2x+24:x+36 \quad Solve for x |

Question 5: 5:11=3x-7:x+35 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 5:9. Then 24 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 11 : 9. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 2:5. Then $36 are added to the wallet, so that the new ratio of dollars to pounds is 19 : 25. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 7:9. Then 28 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 7 : 8. Calculate how many blue counters are in the box now. |

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# Answers

Question 1: {\Large\frac{181}{495}} |

Question 2: 70.8% |

Question 3: x = 8 |

Question 4: x = 4 |

Question 5: x = 9 |

Question 6: 36 sweets |

Question 7: £100 |

Question 8: 64 blue counters. |