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edexcel Gcse maths math mathematics summary document definitions with examples

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GCSE
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Maths








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Topic/Skill Definition/Tips
Topic: Compound Measures Example
1. Metric A system of measures based on: 1 kilometres=1000 metres
System 1 metre=100 centimetres
- the metre for length 1 centimetre=10 millimetres
- the kilogram for mass
- the second for time 1 kilogram=1000 grams

Length: mm, cm, m, km
Mass: mg, g, kg
Volume: ml, cl, l
2. Imperial A system of weights and measures 1 lb=16 ounces
System originally developed in England, usually 1 foot=12inches
based on human quantities 1 gallon=8 pints

Length: inch, foot, yard, miles
Mass: lb, ounce, stone
Volume: pint, gallon
3. Metric and Use the unitary method to convert 5 miles ≈ 8 kilometres
Imperial Units between metric and imperial units. 1 gallon ≈ 4.5 litres
2.2 pounds ≈1 kilogram
1 inch=2.5 centimetres

4. Speed, Speed = Distance ÷ Time Speed = 4mph
Distance, Time Distance = Speed x Time Time = 2 hours
Time = Distance ÷ Speed
Find the Distance.

D=S × T =4 × 2=8 miles




Remember the correct units.
5. Density, Density = Mass ÷ Volume Density = 8kg/m³
Mass, Volume Mass = Density x Volume Mass = 2000g
Volume = Mass ÷ Density
Find the Volume.

V =M ÷ D=2 ÷ 8=0.25 m ³




Remember the correct units.
6. Pressure, Pressure = Force ÷ Area Pressure = 10 Pascals
Force, Area Force = Pressure x Area Area = 6cm²
Area = Force ÷ Pressure
Find the Force

F=P × A=10× 6=60 N

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