Cambridge IGCSE Question Simulator

O Level Additional Mathematics (4037)

Differentiation Banker

35 questions · about 13% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 12 · Q54 marksTangents and normals
  • 2026 May/June · Paper 12 · Q85 marksSmall changes and rates of change
  • 2026 May/June · Paper 22 · Q3 (a)3 marksDerivatives (chain, product, quotient)
  • 2026 May/June · Paper 22 · Q124 marksSmall changes and rates of change

2025

  • 2025 Oct/Nov · Paper 12 · Q9 (b)1 markStationary points
  • 2025 Oct/Nov · Paper 12 · Q12 (a, b)6 marksDerivatives (chain, product, quotient) · Small changes and rates of change
  • 2025 Oct/Nov · Paper 22 · Q7 (a)2 marksDerivatives (chain, product, quotient)
  • 2025 May/June · Paper 12 · Q8 (a, b)6 marksDerivatives (chain, product, quotient) · Small changes and rates of change
  • 2025 May/June · Paper 22 · Q4 (a, b)9 marksDerivatives (chain, product, quotient) · Tangents and normals
  • 2025 May/June · Paper 22 · Q66 marksSmall changes and rates of change

2024

  • 2024 Oct/Nov · Paper 12 · Q2 (a)4 marksStationary points
  • 2024 Oct/Nov · Paper 12 · Q5 (b)1 markDerivatives (chain, product, quotient)
  • 2024 Oct/Nov · Paper 12 · Q76 marksSmall changes and rates of change
  • 2024 Oct/Nov · Paper 12 · Q88 marksTangents and normals
  • 2024 Oct/Nov · Paper 22 · Q2 (a, b, c)8 marksDerivatives (chain, product, quotient) · Small changes and rates of change · Stationary points
  • 2024 Oct/Nov · Paper 22 · Q10 (a, c)8 marksStationary points · Tangents and normals
  • 2024 Oct/Nov · Paper 22 · Q126 marksPractical maxima and minima
  • 2024 May/June · Paper 12 · Q34 marksDerivatives (chain, product, quotient)
  • 2024 May/June · Paper 12 · Q8 (a, b)8 marksDerivatives (chain, product, quotient) · Stationary points
  • 2024 May/June · Paper 12 · Q11 (a)2 marksDerivatives (chain, product, quotient)
  • 2024 May/June · Paper 22 · Q56 marksTangents and normals

2023

  • 2023 Oct/Nov · Paper 12 · Q12 (b)5 marksDerivatives (chain, product, quotient)
  • 2023 Oct/Nov · Paper 22 · Q5 (a)5 marksTangents and normals
  • 2023 Oct/Nov · Paper 22 · Q8 (a, b)5 marksDerivatives (chain, product, quotient) · Tangents and normals
  • 2023 May/June · Paper 22 · Q2 (a, b)8 marksStationary points
  • 2023 May/June · Paper 22 · Q46 marksSmall changes and rates of change
  • 2023 May/June · Paper 22 · Q7 (a, b, c(i))9 marksDerivatives (chain, product, quotient) · Small changes and rates of change
  • 2023 May/June · Paper 22 · Q87 marksTangents and normals

2022

  • 2022 Oct/Nov · Paper 22 · Q36 marksTangents and normals
  • 2022 Oct/Nov · Paper 22 · Q8 (a, b, c)10 marksPractical maxima and minima
  • 2022 May/June · Paper 12 · Q6 (c)2 marksDerivatives (chain, product, quotient)
  • 2022 May/June · Paper 12 · Q99 marksTangents and normals
  • 2022 May/June · Paper 22 · Q45 marksSmall changes and rates of change
  • 2022 May/June · Paper 22 · Q74 marksDerivatives (chain, product, quotient)
  • 2022 May/June · Paper 22 · Q8 (a)5 marksStationary points

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.

Tangents and normals Banker10 questions · 8/9 sessions
Derivatives (chain, product, quotient) Banker15 questions · 8/9 sessions
Small changes and rates of change 10 questions · 6/9 sessions
Stationary points 7 questions · 5/9 sessions
Practical maxima and minima Rare2 questions · 2/9 sessions

Subtopics

SubtopicMarks indexedSessions
Tangents and normals Banker578/9
Derivatives (chain, product, quotient) Banker518/9
Small changes and rates of change 426/9
Stationary points 275/9
Practical maxima and minima Rare162/9

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