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Question 1: In a box of pens there are 2 times as many red pens as green pens and 3 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 3 : 7. There are 9 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 7 : 8. Bill receives 5 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 2 : 3. Metal alloy B is 4 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 7B = 2C. Write down the ratio of A : B : C in simplest form. |

Question 6: 3A = 5B and 9B = 4C. Write down the ratio of A : B : C in simplest form. |

Question 7: Anna and Bill share some money in the ratio 5 : 6. Anna gets £A, Bill gets £B. Carl and Donna share 2 times as much money as Anna and Bill. They share money in the ratio 5 : 7. 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 2 : 7. Alex gets £A, Bridget gets £B. Chloe and David share 3 times as much money as Alex and Bridget. They share money in the ratio 7 : 9. Chloe gets £C and David gets £D. Calculate A : B : C : D in simplest form. |

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# Answers

Question 1: 6 : 3 : 1 |

Question 2: 27 : 63 : 7 |

Question 3: 35 : 40 : 8 |

Question 4: 8 : 12 : 3 |

Question 5: 8 : 6 : 21 |

Question 6: 20 : 12 : 27 |

Question 7: 30 : 36 : 55 : 77 |

Question 8: 32 : 112 : 189 : 243 |