intermediate

GCSE Prep — GCSE Mathematics — Number, Algebra and Ratio + 15 more topics

Comprehensive AI-generated study curriculum with 1 detailed note module.

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Course Syllabus

  1. GCSE Mathematics: Number, Algebra and Ratio
  2. GCSE Mathematics: Geometry, Trigonometry and Mensuration
  3. GCSE Mathematics: Statistics, Probability and Data Handling
  4. GCSE Biology: Cell Biology, Organisation, Infection and Response
  5. GCSE Biology: Bioenergetics, Homeostasis, Inheritance and Ecology
  6. GCSE Chemistry: Atomic Structure, Bonding and Chemical Changes
  7. GCSE Chemistry: Quantitative Chemistry, Energy Changes, Rates and Equilibria
  8. GCSE Chemistry: Organic Chemistry and Chemical Analysis
  9. GCSE Physics: Energy, Electricity and the Particle Model of Matter
  10. GCSE Physics: Waves, Magnetism and Atomic Structure
  11. GCSE English Language Paper 1: Fiction Reading and Creative Writing
  12. GCSE English Language Paper 2: Non-Fiction Reading and Transactional Writing
  13. GCSE English Literature: Shakespeare Play and 19th Century Novel
  14. GCSE English Literature: Modern Texts and Poetry Anthology
  15. GCSE History: Key Periods, Sources and Interpretations
  16. GCSE Past Paper Strategy and Six-Marker Mark Schemes

Study Notes

GCSE Mathematics: Number, Algebra and Ratio

Let's say you have £60 to share between two friends, Sarah and Tom, in the ratio 2:3. How much money does each person get?

  1. Find the total number of parts: The ratio is 2:3, so total parts = $2 + 3 = 5$ parts.
  2. Find the value of one part: Divide the total amount by the total number of parts: $£60 / 5 = £12$ per part.
  3. Calculate each person's share:
    • Sarah gets 2 parts: $2 \times £12 = £24$.
    • Tom gets 3 parts: $3 \times £12 = £36$.
  4. Check your answer: £24 + £36 = £60. This matches the original amount, so the division is correct.
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