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Question 1: In a box of pens there are 9 times as many red pens as green pens and 7 times as many green pens as blue pens. Write down the ratio of the number of red pens to green pens to blue pens in simplest form. |

Question 2: There are red pens and green pens in a box in the ratio 4 : 5. There are 4 times as many green pens as blue pens. Write down the ratio of the number of red pens to green pens to blue pens in simplest form. |

Question 3: Anna and Bill share money in the ratio 2 : 7. Bill receives 2 times as much money as Carl. Write down the ratio of the amount of money received by Anna to Bill to Carl in simplest form. |

Question 4: Two metal alloys A and B have densities in the ratio 5 : 7. Metal alloy B is 3 times as dense as a third metal alloy C. Write down the ratio of the densities A : B : C in simplest form. |

Question 5: 6A = 8B and 5B = 9C. Write down the ratio of A : B : C in simplest form. |

Question 6: 7A = 2B and 4B = 3C. Write down the ratio of A : B : C in simplest form. |

Question 7: Anna and Bill share some money in the ratio 7 : 9. Anna gets £A, Bill gets £B. Carl and Donna share 3 times as much money as Anna and Bill. They share money in the ratio 4 : 11. Carl gets £C and Donna gets £D. Calculate A : B : C : D in simplest form. |

Question 8: Alex and Bridget share some money in the ratio 5 : 9. Alex gets £A, Bridget gets £B. Chloe and David share 4 times as much money as Alex and Bridget. They share money in the ratio 3 : 4. Chloe gets £C and David gets £D. Calculate A : B : C : D in simplest form. |

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# Answers

Question 1: 63 : 7 : 1 |

Question 2: 16 : 20 : 5 |

Question 3: 4 : 14 : 7 |

Question 4: 15 : 21 : 7 |

Question 5: 12 : 9 : 5 |

Question 6: 6 : 21 : 28 |

Question 7: 35 : 45 : 64 : 176 |

Question 8: 5 : 9 : 24 : 32 |