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IGCSE/GCSE Mathematics - Ratio and Proportion

Ratio and Proportion

· Ratio,Unit changes,Proportion,GCSE Mathematics,IGCSE Mathematics

Ratio and Proportion

  • Always simplify as low as possible.
  • Always convert to common units when working out.
  • Remove units in final answer.

When it comes to IGCSE/GCSE Maths, can you calculate the ratio of two different units?

  • E.g. 500p : £15
    - common unit ⟶ £5 : £15
    - simplify ⟶ £1 : £3
    - final answer ⟶ 1 : 3

Compound Measures

  • Involves 3 variables.
  • These can be connected by a triangle.
  • E.g. Pay ⟶  hours worked × rate per hour
    - P = H × R
    - H = P/R
    - R = P/H
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Unit Changes

  • 1m = 100 cm
  • 1m² = 10,000cm (100 × 100)
  • 1m³ = 1,000,000 cm³  (100 × 100 ×100)
     
  • 1cm² = 100mm²
  • 1m² = 10,000 cm²
  • 1km² = 1,000,000 m²
     
  • 1cm³ = 1,000 mm³
  • 1m³ = 1,000,000 cm³
  • 1km³ = 10⁹ m³
  • If you go down a unit --> multiplication ×.
  • If you go up --> division ÷.
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That's the end of the topic!

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Drafted by Bonnie (Mathematics)

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