Solve the following word problems:Name: Date:

Question 1: A model ship is scaled such that 5 mm represents 7 m in real life. a) Express the model scale as a ratio in simplest form b) The model boat is 130 mm long. How long is the ship in real life? (answer in m) c) The distance between two points on the full-sze ship is 84 m, how far apart are the points on the model? (answer in mm) |

Question 2: A map is scaled such that 3 mm represents 4 m in real life. a) Express the map scale as a ratio in simplest form b) The distance between two shops on the map is 57 mm. How far apart are the shops in real life? (answer in m) c) The distance between two points is 108 m, how far apart are they on the map? (answer in mm) |

Question 3: A map is scaled such that 5 cm represents 6 m in real life. a) Express the map scale as a ratio in simplest form b) The distance between two houses on the map is 75 cm. How far apart are the houses in real life? (answer in m) c) The distance between two points is 174 m, how far apart are they on the map? (answer in cm) |

Question 4: A map is scaled such that 7 cm represents 8 km in real life. a) Express the map scale as a ratio in simplest form b) The distance between two towns on the map is 126 cm. How far apart are the towns in real life? (answer in km) c) The distance between two points is 168 km, how far apart are they on the map? (answer in cm) |

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# Answers

Question 1: a) 1:1,400b) 182 m c) 60 mm |

Question 2: a) 3:4,000b) 76 m c) 81 mm |

Question 3: a) 1:120b) 90 m c) 145 cm |

Question 4: a) 7:800,000b) 144 km c) 147 cm |

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