Unit Conversions (Edexcel GCSE Maths: Foundation)

Revision Note

Test yourself
Naomi C

Author

Naomi C

Last updated

Converting Units

How do I convert between units for 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 for 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 for 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 l = 1000 ml
    • 1 cl = 10 ml
  • You must know the basic conversion between volume and capacity 
    • 1 ml = 1 cm3

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

Squared & Cubic Units

How do I convert between squared units?

  • You need to square the unit conversion rates
    • E.g., 1 cm2 = 102 mm2 = 100 mm2
    • This is because area is 2D
    • The fact the units have a 'squared' on them will help you remember
  • The basic conversions for area are
    • 1 cm2 = 100 mm2
    • 1 m2 = 10 000 cm2
    • 1 km2 = 1 000 000 m2
  • There are also less common conversions
    • 1 hectare (ha) = 10 000 m2

How do I convert between cubed units?

  • You need to cube the unit conversion rates
    • E.g., 1 cm3 = 103 mm3 = 1000 mm3
    • This is because volume is 3D
    • The fact the units have a “cubed” on them will help you remember
  • The basic conversions for volume are
    • 1 cm3 = 1000 mm3
    • 1 m3 = 1 000 000 cm3
    • 1 km3 = 1 000 000 000 m3

Worked example

Convert

(a)

8254 mmto cm2,

1 cm = 10 mm

1 cm2 = 102 mm2 = 100 mm2

8254 mm2 = (8254 ÷ 100) cm2 = 82.54 cm2

82.54 cm2  

(b)

2.54 m3 to cm3.

1 m = 100 cm
1 m3 = 1003 cm3 = 1 000 000 cm3

2.54 m3 = (2.54 × 1 000 000) cm3 = 2 540 000 cm3

2 540 000 cm3

You've read 0 of your 10 free revision notes

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Did this page help you?

Naomi C

Author: Naomi C

Expertise: Maths

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.