Converting between Units (Cambridge (CIE) IGCSE Maths)

Revision Note

Converting Units

How do I convert units of lengths?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for length

    • 1 cm = 10 mm

    • 1 m = 100 cm

    • 1 km = 1000 m

  • You need to decide whether to multiply or divide by the conversion factor

    • Ask, does the number of units increase or decrease?

      • The number of mm is 10 times bigger than the number of cm so mm = cm × 10

  • You can do the conversion in stages

    • First convert kilometres into metres then metres into centimetres

How do I convert units of mass?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for mass

    • 1 g = 1000 mg

    • 1 kg = 1000 g

    • 1 tonne = 1000 kg

How do I convert units of volume/capacity?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for capacity

    • 1 litre = 100 cl = 1000 ml

      • 1 cl = 10 ml

  • You must know the basic conversion between volume and capacity 

    • 1 ml = 1 cm3

    • 1 litre = 1000 ml = 1000 cm3

    • 1 m3 = 1000 litres

Worked Example

Convert

(a) 54 cm to mm

1 cm = 10 mm

54 cm = (54 × 10) mm = 540 mm

540 mm

(b) 12 300 cm to km

First convert from cm to m
100 cm = 1 m

12 300 cm = (12 300 ÷ 100) m = 123 m

Now convert from m to km
1000 m = 1 km

123 m = (123 ÷ 1000) km = 0.123 km

0.123 km

(c) 485 g to kg

1000 g = 1 kg

485 g = (485 ÷ 1000) kg

0.485 kg

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Naomi C

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Naomi graduated from Durham University in 2007 with a Masters degree in Civil Engineering. She has taught Mathematics in the UK, Malaysia and Switzerland covering GCSE, IGCSE, A-Level and IB. She particularly enjoys applying Mathematics to real life and endeavours to bring creativity to the content she creates.

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Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.