Solve the following word problems:Name: Date:

Question 1: A map is scaled such that 5 cm represents 8 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 110 cm. How far apart are the houses in real life? (answer in m) c) The distance between two points is 88 m, how far apart are they on the map? (answer in cm) |

Question 2: A map is scaled such that 2 cm represents 3 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 24 cm. How far apart are the towns in real life? (answer in km) c) The distance between two points is 75 km, how far apart are they on the map? (answer in cm) |

Question 3: A map is scaled such that 4 mm represents 5 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 72 mm. How far apart are the shops in real life? (answer in m) c) The distance between two points is 140 m, how far apart are they on the map? (answer in mm) |

Question 4: A model ship is scaled such that 7 mm represents 9 m in real life. a) Express the model scale as a ratio in simplest form b) The model boat is 161 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 171 m, how far apart are the points on the model? (answer in mm) |

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# Answers

Question 1: a) 1:160b) 176 m c) 55 cm |

Question 2: a) 1:150,000b) 36 km c) 50 cm |

Question 3: a) 1:1,250b) 90 m c) 112 mm |

Question 4: a) 7:9,000b) 207 m c) 133 mm |

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