IGCSE Mathematics: Algebra and Graphs | Questions by Topic

Past paper questions, key definitions, and mark schemes — all files verified from our archive.

• Linear equation: y = mx + c (m = gradient, c = y-intercept)
• Gradient = change in y / change in x = (y₂ – y₁)/(x₂ – x₁)
• Quadratic formula: x = (-b ± √(b² – 4ac)) / 2a
• Completing the square: x² + bx = (x + b/2)² – (b/2)²
• Simultaneous equations: solve by substitution or elimination
• Function: rule that maps each input to exactly one output
• Inverse function: reverses the effect of the original function
• Composite function: applying one function after another f(g(x))

+ more definitions available in the full revision notes

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