Video: GCSE Mathematics Foundation Tier Pack 2 • Paper 2 • Question 8

GCSE Mathematics Foundation Tier Pack 2 • Paper 2 • Question 8

02:05

Video Transcript

Leo is trying to work out how far his house is from the school using a map with a scale of one to 25000. On the map, he measures the distance between his house and the school as 5.6 centimeters. What is the actual distance between his house and the school? Give your answer in kilometers.

A scale of one to 25000 means that for every one centimeter on the map, that represents 25000 centimeters in real life. We can scale this up or down to help us calculate real-life distances or distances on the map. Leo has measured the distance between the house and his school as 5.6 centimeters on the map.

We can scale up from one to 5.6 by multiplying by 5.6. We, therefore, need to multiply 25000 by 5.6 to work out the actual distance between his house and the school, noting that that will be in centimeters. 25000 multiplied by 5.6 is 140000. So the distance between his house and the school is 140000 centimeters.

Notice that the question wants us to give our answer in kilometers. We know that one kilometer is equal to 1000 meters and one meter is equal to 100 centimeters. This means we’ll need to divide our answer of 140000 by 100 to work out the distance in meters. 140000 divided by 100 is 1400. So in meters, the distance is 1400. We’ll then need to divide this number by 1000 to convert it to kilometers. 1400 divided by 1000 is 1.4.

So the actual distance between Leo’s house and the school is 1.4 kilometers.

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