Cambridge IGCSE Question Simulator

AS & A Level Further Mathematics (9231)

Rational functions and graphs Banker

9 questions · about 6% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 12 · Q6 (a, b, c, d, e)14 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range

2025

  • 2025 Oct/Nov · Paper 12 · Q7 (a, b, c, d, e)14 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range
  • 2025 May/June · Paper 12 · Q7 (a, b, c, d, e)15 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range

2024

  • 2024 Oct/Nov · Paper 12 · Q6 (a, b, c, d, e)15 marksAsymptotes · Curve sketching · Inequalities · Stationary points & range
  • 2024 May/June · Paper 12 · Q6 (a, b, c, d(i), d(ii), d(iii))15 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range

2023

  • 2023 Oct/Nov · Paper 12 · Q7 (a, b, c, d, e)16 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range
  • 2023 May/June · Paper 12 · Q6 (a, b, c, d, e)15 marksAsymptotes · Curve sketching · Inequalities · Related graphs (modulus, reciprocal) · Stationary points & range

2022

  • 2022 Oct/Nov · Paper 12 · Q7 (a, b, c, d)15 marksAsymptotes · Curve sketching · Inequalities · Stationary points & range
  • 2022 May/June · Paper 12 · Q5 (a, b, c, d)12 marksAsymptotes · Curve sketching · Related graphs (modulus, reciprocal) · Stationary points & range

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.

Stationary points & range Banker9 questions · 9/9 sessions
Inequalities Banker8 questions · 8/9 sessions
Curve sketching Banker9 questions · 9/9 sessions
Asymptotes Banker9 questions · 9/9 sessions
Related graphs (modulus, reciprocal) 7 questions · 7/9 sessions

Subtopics

SubtopicMarks indexedSessions
Stationary points & range Banker339/9
Inequalities Banker338/9
Curve sketching Banker279/9
Asymptotes Banker259/9
Related graphs (modulus, reciprocal) 137/9

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