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Length Conversion Problem Solving

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Length Conversion Problem Solving

Use 1 kilometre = 1,000 metres. Show your working for the word problems.

Convert kilometres and metres

1.Convert each measurement: 4 km to metres; 6,000 m to kilometres; 3.2 km to metres; 9,400 m to kilometres.

2.For each pair, choose the longer distance: 2.7 km or 2,900 m; 1,800 m or 1.6 km; 850 m or 0.9 km.

3.During rehearsals for a school play, Rory walks 3 km from the hall to collect a prop, then walks another 650 m to the theatre entrance. Estimate the total distance in metres, then calculate the exact distance in metres and kilometres.

Solve distance problems

4.For a school play, Sophie walks 6 km from the costume store to the school, then 2,250 m from the school to the theatre. How much farther is the theatre from the costume store than the school is? Give your answer in metres.

5.Three pupils walk to the theatre for a school play. Anya walks 1.9 km, Rory walks 2,050 m and Sophie walks 1.75 km. Put their distances in order from shortest to longest.

6.The route for a school play sponsored walk is 5.2 km. The cast has already walked 3,450 m. How much farther do they need to walk? Give your answer in metres and kilometres.

Reason and explain

7.Rory says that 6,300 metres is equal to 6.3 kilometres. Is his conversion correct? Explain how you know.

8.A lorry brings scenery to the school play, travelling 12 km in the morning and 7,600 m later in the day. Estimate the total journey distance in kilometres. Then explain one way an estimate can help you check an exact calculation.