Core Mapping Distance

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Part 1: Apply the Scale

Show your working. Include units in every answer.

1. A map has a statement scale of 1 cm represents 2 km. A route measures 4.5 cm on the map. What is the real distance?

2. A map has a ratio scale of 1:50,000. A distance measures 6 cm on the map. Find the real distance in kilometres.

3. A map route measures 7.2 cm. The scale is 1 cm represents 5 km. Calculate the real distance.

4. A map has a scale of 1 cm represents 250 m. A path measures 8 cm. Find the real distance in metres and then convert it to kilometres.

Part 2: Compare, Check and Correct

5. Route A measures 3.6 cm on a map with a scale of 1 cm represents 4 km. Route B measures 2.8 cm on a map with a scale of 1 cm represents 5 km. Which route is shorter, and by how many kilometres?

6. A map has a ratio scale of 1:100,000. Liam measures 4 cm and writes: “4 × 100,000 = 400,000 km.” Identify his error and give the correct answer in kilometres.

7. A map scale says 1 cm represents 3 km. Write this scale as a ratio using the same units. Show the conversion.

8. A map distance is 5.5 cm and the scale is 1 cm represents 2 km. A student says the real distance is 11 m. Is this reasonable? Correct the answer and explain the unit error.