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O-Level E-Math Topics Quick-Review

Comprehensive review of core formulas and rules for the O-Level E-Math syllabus.

Number & Algebra

  • • Standard Form: A × 10ⁿ, where 1 ≤ A < 10
  • • Direct Proportion: y = kx | Inverse Proportion: y = k/x
  • • Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a
  • • Map Scales: Area Scale = (Length Scale)²

Geometry & Trigonometry

  • • Sum of Interior Angles: (n - 2) × 180°
  • • Sine Rule: a/sinA = b/sinB = c/sinC
  • • Cosine Rule: a² = b² + c² - 2bc cosA
  • • Area of Triangle: ½ab sinC
  • • Angle Properties of Circles (e.g. Angles in same segment, Cyclic quads)

Mensuration & Graphs

  • • Arc Length = (θ/360) × 2πr
  • • Area of Sector = (θ/360) × πr²
  • • Gradient (m) = (y₂ - y₁) / (x₂ - x₁)
  • • Distance-Time Graph Gradient = Speed
  • • Speed-Time Graph Gradient = Acceleration | Area under graph = Distance

Probability & Statistics

  • • P(A) = Number of successful outcomes / Total outcomes
  • • Mean (x̄) = Σfx / Σf
  • • Standard Deviation: Measures consistency/spread of data
  • • Dot plots and Box-and-whisker plots: Compare Median and Interquartile Range
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