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Question 1: A box contains red shapes and green shapes. Some of the shapes are circles and the rest are squares. The ratio of red shapes to green shapes is 4 : 11. The ratio of red circles to red squares is 5 : 7. The ratio of green circles to green squares is 7 : 11. Work out what fraction of all the shapes are circles. |

Question 2: In a company, the ratio of men to women is 3 : 7. If 70% of the men are under the age of 25 and 20% 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: 5:7=2x+34:x+53 \quad Solve for x |

Question 4: 7:11=3x+15:x+57 \quad Solve for x |

Question 5: 2:5=3x-15:x+8 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 2:3. Then 24 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 7 : 6. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 7:9. Then $20 are added to the wallet, so that the new ratio of dollars to pounds is 11 : 12. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 4:7. Then 20 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 7 : 11. Calculate how many blue counters are in the box now. |

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# Answers

Question 1: {\Large\frac{107}{270}} |

Question 2: 35% |

Question 3: x = 3 |

Question 4: x = 9 |

Question 5: x = 7 |

Question 6: 48 sweets |

Question 7: £144 |

Question 8: 132 blue counters. |