intermediate

IGCSE Prep — 16-topic bundle

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

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Course Syllabus

  1. IGCSE Mathematics: Number — Fractions, Percentages, Standard Form and Estimation
  2. IGCSE Mathematics: Algebra — Linear and Quadratic Equations, Inequalities, Sequences
  3. IGCSE Mathematics: Geometry and Trigonometry — Bearings, Pythagoras, Sine and Cosine Rules
  4. IGCSE Mathematics: Statistics — Averages, Cumulative Frequency, Histograms, Box Plots
  5. IGCSE Biology: Cells, Movement of Substances and Enzymes
  6. IGCSE Biology: Human Biology — Nutrition, Transport, Respiration, Reproduction
  7. IGCSE Biology: Ecology, Inheritance and Genetic Engineering
  8. IGCSE Chemistry: Atomic Structure, Bonding and the Periodic Table
  9. IGCSE Chemistry: Stoichiometry, Energetics and Rates of Reaction
  10. IGCSE Chemistry: Organic Chemistry — Alkanes, Alkenes, Alcohols, Carboxylic Acids
  11. IGCSE Physics: Motion, Forces and Energy
  12. IGCSE Physics: Waves, Light, Sound and the Electromagnetic Spectrum
  13. IGCSE Physics: Electricity, Magnetism and Atomic Physics
  14. IGCSE English First Language (0500): Reading Comprehension and Inference (Paper 1)
  15. IGCSE English First Language (0500): Directed Writing and Composition (Paper 2)
  16. IGCSE Past Paper Strategy and Cambridge Mark Scheme Familiarity

Study Notes

IGCSE Mathematics: Number — Fractions, Percentages, Standard Form and Estimation

  • Adding/Subtracting: You need a common denominator. Find the lowest common multiple (LCM) of the denominators, then adjust the numerators.
    • Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
  • Multiplying: Multiply numerators together and denominators together. Simplify before or after.
    • Example: 1/2 * 3/4 = (1*3)/(2*4) = 3/8
  • Dividing: "Flip" the second fraction (find its reciprocal) and then multiply.
    • Example: 1/2 ÷ 3/4 = 1/2 * 4/3 = 4/6 = 2/3
  • Mixed Numbers to Improper Fractions: Multiply the whole number by the denominator, add the numerator, and put it over the original denominator.
    • Example: 2 1/3 = (2*3 + 1)/3 = 7/3
  • Improper Fractions to Mixed Numbers: Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.
    • Example: 7/3 = 2 with remainder 1, so 2 1/3
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