Name: Date:

Question 1: A box contains pink shapes and black shapes. Some of the shapes are triangles and the rest are pentagons. The ratio of pink shapes to black shapes is 7 : 9. The ratio of pink triangles to pink pentagons is 4 : 11. The ratio of black triangles to black pentagons is 2 : 9. Work out what fraction of all the shapes are triangles. |

Question 2: In a company, the ratio of men to women is 12 : 13. If 90% of the men are under the age of 25 and 60% 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: 4:11=2x+40:x+128 \quad Solve for x |

Question 4: 2:9=3x-13:x+29 \quad Solve for x |

Question 5: 5:11=2x+36:x+103 \quad Solve for x |

Question 6: Chocolates and sweets are in a bag in the ratio 3:5. Then 20 more chocolates are added to the bag, so that the new ratio of chocolates to sweets is 14 : 15. Calculate how many sweets are in the bag. |

Question 7: US dollars and British pounds are in a wallet in the ratio 4:5. Then $24 are added to the wallet, so that the new ratio of dollars to pounds is 11 : 10. Calculate how many pounds the wallet contains. |

Question 8: Green and blue counters are in a box in the ratio 4:7. Then 24 extra counters of each colour are added to the box, so that the new ratio of green to blue counters is 2 : 3. Calculate how many blue counters are in the box now. |

Show Answers
Hide Answers

© GCSEMathsWorksheets.com

# Answers

Question 1: {\Large\frac{289}{1320}} |

Question 2: 74.4% |

Question 3: x = 4 |

Question 4: x = 7 |

Question 5: x = 7 |

Question 6: 60 sweets |

Question 7: £80 |

Question 8: 108 blue counters. |