Advanced Mapping Distance

Name:

Date:

Year 8 Maths

Part 1: Scale Representations

Show your working. Give distances in the units requested.

1. A map uses the scale 1 cm represents 4 km. A route measures 7.3 cm on the map. What is the real distance in kilometres?

2. A map has a ratio scale of 1:50,000. A measured map distance is 6.8 cm. Find the real distance in kilometres.

3. The statement scale is 1 cm represents 2.5 km. Which ratio scale shows the same scale?

1:25,000

1:250,000

1:2,500,000

1:250

4. A map uses the scale 1 cm represents 3 km. A real route is 18 km long. How many centimetres should the route measure on the map?

Part 2: Measure, Multiply, Convert and Check

5. On a map with scale 1:75,000, a path measures 4.6 cm. Calculate the real distance in kilometres. Include the unit conversion.

6. Route A measures 3.8 cm on a map with scale 1 cm represents 2 km. Route B measures 5.1 cm on a map with scale 1:50,000. Which route is longer, and by how many kilometres?

7. A student measures 9 cm on a map with scale 1:100,000 and records the real distance as 900 m. Explain why this answer is unreasonable and give the correct distance.

8. A map distance of 8 cm represents a real distance of 12 km. Write the scale in both forms: a statement scale and a ratio scale.

9. A student says that 3 cm on a map with scale 1:200,000 represents 600,000 km. Explain the error and calculate the correct distance.