Cambridge IGCSE Question Simulator

AS & A Level Further Mathematics (9231)

Integration Banker

23 questions · about 7% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 22 · Q2 (a, b)7 marksReduction formulae
  • 2026 May/June · Paper 22 · Q3 (a)4 marksSubstitution & standard integrals
  • 2026 May/June · Paper 22 · Q5 (a, b, c)10 marksRectangles, bounds & limits of sums

2025

  • 2025 Oct/Nov · Paper 22 · Q14 marksArc length
  • 2025 Oct/Nov · Paper 22 · Q4 (b)3 marksSubstitution & standard integrals
  • 2025 Oct/Nov · Paper 22 · Q6 (a, b, c, d)13 marksRectangles, bounds & limits of sums · Substitution & standard integrals
  • 2025 May/June · Paper 22 · Q2 (a, b)7 marksReduction formulae
  • 2025 May/June · Paper 22 · Q4 (a, b)9 marksRectangles, bounds & limits of sums

2024

  • 2024 Oct/Nov · Paper 22 · Q14 marksSubstitution & standard integrals
  • 2024 Oct/Nov · Paper 22 · Q37 marksArc length
  • 2024 Oct/Nov · Paper 22 · Q6 (a, b, c)10 marksRectangles, bounds & limits of sums
  • 2024 May/June · Paper 22 · Q4 (a, b)8 marksReduction formulae
  • 2024 May/June · Paper 22 · Q5 (a, b, c)11 marksRectangles, bounds & limits of sums
  • 2024 May/June · Paper 22 · Q7 (a)2 marksSubstitution & standard integrals

2023

  • 2023 Oct/Nov · Paper 22 · Q5 (b)6 marksRectangles, bounds & limits of sums
  • 2023 Oct/Nov · Paper 22 · Q7 (b)9 marksSurface area of revolution
  • 2023 May/June · Paper 22 · Q3 (b)3 marksSubstitution & standard integrals
  • 2023 May/June · Paper 22 · Q4 (a, b)9 marksReduction formulae
  • 2023 May/June · Paper 22 · Q7 (a, b, c)11 marksRectangles, bounds & limits of sums · Substitution & standard integrals

2022

  • 2022 Oct/Nov · Paper 22 · Q3 (a)6 marksSurface area of revolution
  • 2022 Oct/Nov · Paper 22 · Q610 marksRectangles, bounds & limits of sums
  • 2022 May/June · Paper 22 · Q15 marksArc length
  • 2022 May/June · Paper 22 · Q4 (a, b, c)10 marksRectangles, bounds & limits of sums

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.

Rectangles, bounds & limits of sums Banker9 questions · 9/9 sessions
Reduction formulae 4 questions · 4/9 sessions
Substitution & standard integrals 7 questions · 5/9 sessions
Arc length 3 questions · 3/9 sessions
Surface area of revolution Rare2 questions · 2/9 sessions

Subtopics

SubtopicMarks indexedSessions
Rectangles, bounds & limits of sums Banker849/9
Reduction formulae 314/9
Substitution & standard integrals 225/9
Arc length 163/9
Surface area of revolution Rare152/9

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