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Differentiation: Cambridge IGCSE Mathematics (0580) practice questions

Differentiation (E2.12, Extended) is part of Algebra and graphs (Extended). STEM Exam Builder holds 44 past-paper questions on it for Cambridge IGCSE Mathematics (0580), from papers set between 2010 and 2025, each with its mark scheme. 9 of them are in the sample set visitors can open in the builder.

What it covers

The questions are sorted into 13 skills; you can tick single skills in the builder:

• Estimate gradient by drawing a tangent
• Instantaneous acceleration from a tangent
• Differentiate a cubic polynomial
• Differentiate a quadratic polynomial
• Find a gradient by evaluating the derivative
• Recover coefficients from a given derivative
• Coordinates of the stationary points of a polynomial
• Quadratic turning point by differentiation
• Select the nonzero stationary point
• Stationary x values by differentiating a polynomial
• Equation of a tangent using differentiation
• Points where the gradient has a given value
• Unknown coefficient from a gradient

Questions by paper

Questions by level

Each question carries a level, C, B or A: the grade it is pitched at.

Questions by year the paper was set

Try sample questions

These questions are in the sample set anyone can open in the builder without an account. Each opens with its mark scheme on the flip side.

• Sample question 1
• Sample question 2
• Sample question 3

The link opens the builder on Differentiation, Paper 4. Visitors can browse the sample set; building and downloading a paper needs a plan.