NumberExam Tips

Real-World Applications

Part of ProportionGCSE Mathematics

This exam tips covers Real-World Applications within Proportion for GCSE Mathematics. Revise Proportion in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 13 of 15 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 13 of 15

Practice

12 questions

Recall

22 flashcards

Real-World Applications

Direct Proportion Examples
  • Distance ∝ Time (constant speed)
  • Cost ∝ Quantity (fixed price per unit)
  • Perimeter ∝ Side length (similar shapes)
  • Wages ∝ Hours worked (hourly rate)
Inverse Proportion Examples
  • Speed ∝ 1/Time (fixed distance)
  • Workers ∝ 1/Time (fixed job)
  • Brightness ∝ 1/Distance² (light intensity)
  • Pressure ∝ 1/Volume (gas laws)

Keep building this topic

Read this section alongside the surrounding pages in Proportion. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Proportion

y is directly proportional to x. Which equation could represent this relationship?

  • A. y = k/x
  • B. y = kx
  • C. y = k − x
  • D. y = x²
1 markfoundation

Explain how you can tell from a graph whether two quantities are in direct or inverse proportion.

2 marksstandard

Quick Recall Flashcards

Proportion Symbol
∝ means 'proportional to' Examples: y ∝ x (y is proportional to x) y ∝ 1/x (y is inversely proportional to x)
Recipe Application
Recipe for 4 people uses 300g flour How much for 10 people? Flour ∝ People (direct) F = kP 300 = k × 4, so k = 75 For 10 people: F = 75 × 10 = 750g

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