NumberStudy Notes

Real-World Applications

Part of Factors, Multiples & PrimesGCSE Mathematics

This study notes covers Real-World Applications within Factors, Multiples & Primes for GCSE Mathematics. Revise Factors, Multiples & Primes in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 7 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 7 of 8

Practice

14 questions

Recall

22 flashcards

Real-World Applications

Tiling Problems

Problem: A room is 12m × 18m. What's the largest square tile that fits perfectly?

Solution: Find HCF(12, 18) = 6. Use 6m × 6m tiles.

Event Scheduling

Problem: Bus A comes every 15 minutes, Bus B every 20 minutes. How often do they arrive together?

Solution: Find LCM(15, 20) = 60. They meet every 60 minutes.

Simplifying Fractions

Problem: Simplify 48/72

Solution: Find HCF(48, 72) = 24. So 48/72 = 2/3

Keep building this topic

Read this section alongside the surrounding pages in Factors, Multiples & Primes. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Factors, Multiples & Primes

Which of these numbers is prime?

  • A. 27
  • B. 29
  • C. 33
  • D. 35
1 markfoundation

Explain why 51 is not a prime number.

2 marksstandard

Quick Recall Flashcards

Factor
A number that divides exactly into another number with no remainder. Example: Factors of 12 are 1, 2, 3, 4, 6, 12
Multiple
A number in the times table of another number. Example: Multiples of 5 are 5, 10, 15, 20, 25, 30...

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