Cambridge IGCSE Question Simulator

AS & A Level Mathematics (9709)

Differentiation Banker

46 questions · about 9% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 12 · Q9 (b)7 marksTangents & normals
  • 2026 May/June · Paper 22 · Q46 marksProduct/quotient/chain rule & stationary points
  • 2026 May/June · Paper 22 · Q8 (a, b)9 marksParametric differentiation
  • 2026 May/June · Paper 32 · Q5 (a, b)10 marksParametric differentiation
  • 2026 May/June · Paper 32 · Q6 (a)4 marksStationary points (product/chain/quotient)
  • 2026 May/June · Paper 32 · Q7 (a)4 marksStationary points (product/chain/quotient)

2025

  • 2025 Oct/Nov · Paper 12 · Q4 (a)1 markTangents & normals
  • 2025 Oct/Nov · Paper 12 · Q5 (a)3 marksStationary points & nature
  • 2025 Oct/Nov · Paper 12 · Q9 (a)4 marksIncreasing / decreasing
  • 2025 Oct/Nov · Paper 22 · Q5 (a)5 marksProduct/quotient/chain rule & stationary points
  • 2025 Oct/Nov · Paper 22 · Q7 (a, b)8 marksImplicit differentiation
  • 2025 Oct/Nov · Paper 32 · Q7 (a, b)8 marksImplicit differentiation
  • 2025 May/June · Paper 12 · Q4 (a, b)5 marksRates of change · Stationary points & nature
  • 2025 May/June · Paper 12 · Q9 (b, d)6 marksStationary points & nature · Tangents & normals
  • 2025 May/June · Paper 22 · Q35 marksProduct/quotient/chain rule & stationary points
  • 2025 May/June · Paper 22 · Q6 (b)6 marksImplicit differentiation
  • 2025 May/June · Paper 32 · Q11 (a)6 marksStationary points (product/chain/quotient)

2024

  • 2024 Oct/Nov · Paper 12 · Q3 (a, b)5 marksGradient of chord / first principles
  • 2024 Oct/Nov · Paper 12 · Q10 (a, c)6 marksIncreasing / decreasing · Tangents & normals
  • 2024 Oct/Nov · Paper 32 · Q8 (a, b)8 marksParametric differentiation
  • 2024 Oct/Nov · Paper 32 · Q11 (a)5 marksStationary points (product/chain/quotient)
  • 2024 May/June · Paper 12 · Q6 (a)4 marksStationary points & nature
  • 2024 May/June · Paper 12 · Q9 (a)4 marksIncreasing / decreasing
  • 2024 May/June · Paper 12 · Q10 (a, b)10 marksRates of change · Tangents & normals
  • 2024 May/June · Paper 32 · Q46 marksImplicit differentiation
  • 2024 May/June · Paper 32 · Q6 (a)4 marksStationary points (product/chain/quotient)
  • 2024 May/June · Paper 32 · Q10 (a)2 marksDifferentiating trig functions

2023

  • 2023 Oct/Nov · Paper 12 · Q3 (a)2 marksTangents & normals
  • 2023 Oct/Nov · Paper 12 · Q10 (a, b)7 marksIncreasing / decreasing · Stationary points & nature
  • 2023 Oct/Nov · Paper 22 · Q3 (a)2 marksProduct/quotient/chain rule & stationary points
  • 2023 Oct/Nov · Paper 22 · Q6 (a)5 marksParametric differentiation
  • 2023 Oct/Nov · Paper 32 · Q24 marksParametric differentiation
  • 2023 Oct/Nov · Paper 32 · Q9 (a)5 marksStationary points (product/chain/quotient)
  • 2023 May/June · Paper 12 · Q11 (a, b, c)8 marksChain rule / 2nd derivative · Stationary points & nature · Tangents & normals
  • 2023 May/June · Paper 22 · Q5 (a, b)9 marksProduct/quotient/chain rule & stationary points
  • 2023 May/June · Paper 22 · Q7 (a, c)7 marksParametric differentiation
  • 2023 May/June · Paper 32 · Q7 (a, b)9 marksImplicit differentiation
  • 2023 May/June · Paper 32 · Q10 (a)5 marksStationary points (product/chain/quotient)

2022

  • 2022 Oct/Nov · Paper 12 · Q8 (b, c)3 marksIncreasing / decreasing · Stationary points & nature
  • 2022 Oct/Nov · Paper 12 · Q11 (c)3 marksRates of change
  • 2022 Oct/Nov · Paper 32 · Q36 marksStationary points (product/chain/quotient)
  • 2022 Oct/Nov · Paper 32 · Q7 (a)1 markDifferentiating trig functions
  • 2022 May/June · Paper 12 · Q9 (a, b)7 marksChain rule / 2nd derivative · Stationary points & nature
  • 2022 May/June · Paper 12 · Q10 (e)6 marksTangents & normals
  • 2022 May/June · Paper 32 · Q46 marksStationary points (product/chain/quotient)
  • 2022 May/June · Paper 32 · Q7 (a, b)9 marksImplicit differentiation

Find the full paper on the official Cambridge past-papers page or ask your school. “Paper 42” means Paper 4, variant 2.

Similar questions

Questions that test the same subtopic in different years. Practise them together to master one skill.

Implicit differentiation 6 questions · 5/9 sessions
Stationary points (product/chain/quotient) Banker9 questions · 8/9 sessions
Parametric differentiation 6 questions · 4/9 sessions
Tangents & normals Banker8 questions · 8/9 sessions
Product/quotient/chain rule & stationary points 5 questions · 5/9 sessions
Stationary points & nature 8 questions · 7/9 sessions
Increasing / decreasing 5 questions · 5/9 sessions
Rates of change 3 questions · 3/9 sessions
Chain rule / 2nd derivative Rare2 questions · 2/9 sessions
Differentiating trig functions Rare2 questions · 2/9 sessions

Subtopics

SubtopicMarks indexedSessions
Implicit differentiation 465/9
Stationary points (product/chain/quotient) Banker458/9
Parametric differentiation 434/9
Tangents & normals Banker338/9
Product/quotient/chain rule & stationary points 275/9
Stationary points & nature 257/9
Increasing / decreasing 135/9
Rates of change 103/9
Chain rule / 2nd derivative Rare52/9
Gradient of chord / first principles Rare51/9
Differentiating trig functions Rare32/9

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