Solve the following word problems:Name: Date:

Question 1: A map is scaled such that 6 cm represents 7 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 84 km, how far apart are they on the map? (answer in cm) |

Question 2: A model ship is scaled such that 3 mm represents 5 m in real life. a) Express the model scale as a ratio in simplest form b) The model boat is 75 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 55 m, how far apart are the points on the model? (answer in mm) |

Question 3: A map is scaled such that 4 mm represents 7 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 76 mm. How far apart are the shops in real life? (answer in m) c) The distance between two points is 203 m, how far apart are they on the map? (answer in mm) |

Question 4: A map is scaled such that 3 cm represents 7 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 81 cm. How far apart are the houses in real life? (answer in m) c) The distance between two points is 112 m, how far apart are they on the map? (answer in cm) |

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# Answers

Question 1: a) 3:350,000b) 147 km c) 72 cm |

Question 2: a) 3:5,000b) 125 m c) 33 mm |

Question 3: a) 1:1,750b) 133 m c) 116 mm |

Question 4: a) 3:700b) 189 m c) 48 cm |

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