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Question 1: A box contains blue shapes and green shapes. Some of the shapes are circles and the rest are pentagons. The ratio of blue shapes to green shapes is 2 : 9. The ratio of blue circles to blue pentagons is 7 : 8. The ratio of green circles to green pentagons is 5 : 7. Work out what fraction of all the shapes are circles. |

Question 2: In a company, the ratio of men to women is 6 : 19. 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: 7:8=2x+41:x+52 \quad Solve for x |

Question 4: 5:7=2x+8:x+22 \quad Solve for x |

Question 5: 7:11=2x+9:x+27 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 3:5. Then 36 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 24 : 25. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 3:4. Then $20 are added to the wallet, so that the new ratio of dollars to pounds is 11 : 8. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 5:6. Then 40 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 15 : 16. Calculate how many blue counters are in the box now. |

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# Answers

Question 1: {\Large\frac{281}{660}} |

Question 2: 82.4% |

Question 3: x = 4 |

Question 4: x = 6 |

Question 5: x = 6 |

Question 6: 100 sweets |

Question 7: £32 |

Question 8: 64 blue counters. |