Name: Date:

Question 1: A box contains red shapes and white shapes. Some of the shapes are triangles and the rest are trapeziums. The ratio of red shapes to white shapes is 4 : 7. The ratio of red triangles to red trapeziums is 5 : 9. The ratio of white triangles to white trapeziums is 3 : 5. Work out what fraction of all the shapes are triangles. |

Question 2: In a company, the ratio of men to women is 4 : 21. If 60% of the men are under the age of 25 and 10% 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: 5:9=2x+21:x+56 \quad Solve for x |

Question 4: 3:5=2x+1:x+11 \quad Solve for x |

Question 5: 3:4=2x+15:x+35 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 2:7. Then 36 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 13 : 14. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 5:7. Then $28 are added to the wallet, so that the new ratio of dollars to pounds is 12 : 7. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 7:8. Then 32 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 9 : 10. Calculate how many blue counters are in the box now. |

Show Answers
Hide Answers

© GCSEMathsWorksheets.com

# Answers

Question 1: {\Large\frac{227}{616}} |

Question 2: 18% |

Question 3: x = 7 |

Question 4: x = 4 |

Question 5: x = 9 |

Question 6: 56 sweets |

Question 7: £28 |

Question 8: 160 blue counters. |