IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1·Foundation & Higher Numbers
📋Key knowledge — Numbers

Formulas & equations

  • Percentage change = (change ÷ original) × 100
  • Simple interest = P × R × T ÷ 100
  • Compound interest: A = P(1 + r/100)ⁿ
  • Speed = Distance ÷ Time
  • Density = Mass ÷ Volume
  • Upper bound = measured value + ½ × precision
  • Lower bound = measured value − ½ × precision

Key facts & rules

  • A prime number has exactly 2 factors: 1 and itself. 1 is NOT prime.
  • HCF: highest common factor — use a Venn diagram of prime factors.
  • LCM: lowest common multiple — product of all prime factors, using highest powers.
  • Standard form: A × 10ⁿ where 1 ≤ A < 10.
  • Rational numbers can be written as fractions p/q (q ≠ 0). Irrational numbers cannot (e.g. π, √2).
  • To convert a recurring decimal to a fraction: multiply by 10ⁿ to eliminate the recurring part, then subtract.
  • Index laws: aᵐ × aⁿ = aᵐ⁺ⁿ; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1; a⁻ⁿ = 1/aⁿ; a^(1/n) = ⁿ√a.

Laws & theorems

  • Order of operations: Brackets → Indices → Multiply/Divide → Add/Subtract (BIDMAS).
  • Significant figures: count from the first non-zero digit.

Edexcel IGCSE Numbers

233 questions across Foundation and Higher tier. Click a subtopic to start practising.

Bounds1 questions Convert Recurring Decimal To Fraction6 questions Hcf And Lcm11 questions Indices1 questions Operations With Fractions Non Calculator15 questions Percentages38 questions Ratio And Proportion16 questions Rounding And Standard Form38 questions Sets And Venn Diagram20 questions Simple And Compound Interest14 questions Speed Distance Time Problems12 questions Surds2 questions The Four Rules29 questions Types Of Numbers17 questions

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