Try the new view →

Rational functions and graphs

9231 Further Mathematics · A-Level topical questions · 37 questions

9231-2021-mj-11-q07

May/June 2021 · Paper 11 · Question 7 · 15 marks · View answer side by side

9231-2021-mj-11-q07 source crop

9231-2021-mj-11-q07 source crop

9231-2021-mj-11-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2021-mj-12-q07

May/June 2021 · Paper 12 · Question 7 · 15 marks · View answer side by side

9231-2021-mj-12-q07 source crop

9231-2021-mj-12-q07 source crop

9231-2021-mj-12-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2021-mj-13-q07

May/June 2021 · Paper 13 · Question 7 · 14 marks · View answer side by side

9231-2021-mj-13-q07 source crop

9231-2021-mj-13-q07 source crop

9231-2021-mj-13-q07 source crop

9231-2021-mj-13-q07 source crop

Source pages: 15, 16, 17, 18 · source PDF URL

9231-2021-on-11-q07

Oct/Nov 2021 · Paper 11 · Question 7 · 15 marks · View answer side by side

9231-2021-on-11-q07 source crop

9231-2021-on-11-q07 source crop

9231-2021-on-11-q07 source crop

9231-2021-on-11-q07 source crop

Source pages: 12, 13, 14, 15 · source PDF URL

9231-2021-on-12-q06

Oct/Nov 2021 · Paper 12 · Question 6 · 14 marks · View answer side by side

9231-2021-on-12-q06 source crop

9231-2021-on-12-q06 source crop

Source pages: 10, 11 · source PDF URL

9231-2021-on-13-q07

Oct/Nov 2021 · Paper 13 · Question 7 · 15 marks · View answer side by side

9231-2021-on-13-q07 source crop

9231-2021-on-13-q07 source crop

9231-2021-on-13-q07 source crop

9231-2021-on-13-q07 source crop

Source pages: 12, 13, 14, 15 · source PDF URL

9231-2022-mj-11-q05

May/June 2022 · Paper 11 · Question 5 · 12 marks · View answer side by side

9231-2022-mj-11-q05 source crop

9231-2022-mj-11-q05 source crop

Source pages: 10, 11 · source PDF URL

9231-2022-mj-12-q05

May/June 2022 · Paper 12 · Question 5 · 12 marks · View answer side by side

9231-2022-mj-12-q05 source crop

9231-2022-mj-12-q05 source crop

Source pages: 10, 11 · source PDF URL

9231-2022-mj-13-q01

May/June 2022 · Paper 13 · Question 1 · 6 marks · View answer side by side

9231-2022-mj-13-q01 source crop

Source pages: 3 · source PDF URL

9231-2022-mj-13-q03

May/June 2022 · Paper 13 · Question 3 · 10 marks · View answer side by side

9231-2022-mj-13-q03 source crop

9231-2022-mj-13-q03 source crop

Source pages: 6, 7 · source PDF URL

9231-2022-on-11-q07

Oct/Nov 2022 · Paper 11 · Question 7 · 16 marks · View answer side by side

9231-2022-on-11-q07 source crop

9231-2022-on-11-q07 source crop

9231-2022-on-11-q07 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2022-on-12-q07

Oct/Nov 2022 · Paper 12 · Question 7 · 15 marks · View answer side by side

9231-2022-on-12-q07 source crop

9231-2022-on-12-q07 source crop

9231-2022-on-12-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2022-on-13-q07

Oct/Nov 2022 · Paper 13 · Question 7 · 16 marks · View answer side by side

9231-2022-on-13-q07 source crop

9231-2022-on-13-q07 source crop

9231-2022-on-13-q07 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2023-mj-11-q06

May/June 2023 · Paper 11 · Question 6 · 15 marks · View answer side by side

9231-2023-mj-11-q06 source crop

9231-2023-mj-11-q06 source crop

9231-2023-mj-11-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2023-mj-12-q06

May/June 2023 · Paper 12 · Question 6 · 15 marks · View answer side by side

9231-2023-mj-12-q06 source crop

9231-2023-mj-12-q06 source crop

9231-2023-mj-12-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2023-mj-13-q07

May/June 2023 · Paper 13 · Question 7 · 13 marks · View answer side by side

9231-2023-mj-13-q07 source crop

9231-2023-mj-13-q07 source crop

Source pages: 14, 15 · source PDF URL

9231-2023-on-11-q07

Oct/Nov 2023 · Paper 11 · Question 7 · 15 marks · View answer side by side

9231-2023-on-11-q07 source crop

9231-2023-on-11-q07 source crop

9231-2023-on-11-q07 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2023-on-12-q07

Oct/Nov 2023 · Paper 12 · Question 7 · 16 marks · View answer side by side

9231-2023-on-12-q07 source crop

9231-2023-on-12-q07 source crop

9231-2023-on-12-q07 source crop

Source pages: 13, 14, 15 · source PDF URL

9231-2023-on-13-q07

Oct/Nov 2023 · Paper 13 · Question 7 · 15 marks · View answer side by side

9231-2023-on-13-q07 source crop

9231-2023-on-13-q07 source crop

9231-2023-on-13-q07 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2024-mj-11-q06

May/June 2024 · Paper 11 · Question 6 · 15 marks · View answer side by side

9231-2024-mj-11-q06 source crop

9231-2024-mj-11-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2024-mj-12-q06

May/June 2024 · Paper 12 · Question 6 · 15 marks · View answer side by side

9231-2024-mj-12-q06 source crop

9231-2024-mj-12-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2024-mj-13-q06

May/June 2024 · Paper 13 · Question 6 · 13 marks · View answer side by side

9231-2024-mj-13-q06 source crop

9231-2024-mj-13-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2024-on-11-q06

Oct/Nov 2024 · Paper 11 · Question 6 · 13 marks · View answer side by side

9231-2024-on-11-q06 source crop

9231-2024-on-11-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2024-on-12-q06

Oct/Nov 2024 · Paper 12 · Question 6 · 15 marks · View answer side by side

9231-2024-on-12-q06 source crop

9231-2024-on-12-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2024-on-13-q06

Oct/Nov 2024 · Paper 13 · Question 6 · 13 marks · View answer side by side

9231-2024-on-13-q06 source crop

9231-2024-on-13-q06 source crop

Source pages: 12, 13 · source PDF URL

9231-2025-mj-11-q07

May/June 2025 · Paper 11 · Question 7 · 15 marks · View answer side by side

9231-2025-mj-11-q07 source crop

9231-2025-mj-11-q07 source crop

9231-2025-mj-11-q07 source crop

9231-2025-mj-11-q07 source crop

Source pages: 14, 15, 16, 17 · source PDF URL

9231-2025-mj-12-q07

May/June 2025 · Paper 12 · Question 7 · 15 marks · View answer side by side

9231-2025-mj-12-q07 source crop

9231-2025-mj-12-q07 source crop

9231-2025-mj-12-q07 source crop

9231-2025-mj-12-q07 source crop

Source pages: 14, 15, 16, 17 · source PDF URL

9231-2025-mj-13-q06

May/June 2025 · Paper 13 · Question 6 · 14 marks · View answer side by side

9231-2025-mj-13-q06 source crop

9231-2025-mj-13-q06 source crop

9231-2025-mj-13-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2025-mj-14-q07

May/June 2025 · Paper 14 · Question 7 · 16 marks · View answer side by side

9231-2025-mj-14-q07 source crop

9231-2025-mj-14-q07 source crop

9231-2025-mj-14-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2025-on-11-q07

Oct/Nov 2025 · Paper 11 · Question 7 · 14 marks · View answer side by side

9231-2025-on-11-q07 source crop

9231-2025-on-11-q07 source crop

9231-2025-on-11-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2025-on-12-q07

Oct/Nov 2025 · Paper 12 · Question 7 · 14 marks · View answer side by side

9231-2025-on-12-q07 source crop

9231-2025-on-12-q07 source crop

9231-2025-on-12-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2025-on-13-q07

Oct/Nov 2025 · Paper 13 · Question 7 · 14 marks · View answer side by side

9231-2025-on-13-q07 source crop

9231-2025-on-13-q07 source crop

9231-2025-on-13-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2025-on-14-q07

Oct/Nov 2025 · Paper 14 · Question 7 · 16 marks · View answer side by side

9231-2025-on-14-q07 source crop

9231-2025-on-14-q07 source crop

9231-2025-on-14-q07 source crop

Source pages: 14, 15, 16 · source PDF URL

9231-2026-mj-11-q06

May/June 2026 · Paper 11 · Question 6 · 14 marks · View answer side by side

9231-2026-mj-11-q06 source crop

9231-2026-mj-11-q06 source crop

9231-2026-mj-11-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2026-mj-12-q06

May/June 2026 · Paper 12 · Question 6 · 14 marks · View answer side by side

9231-2026-mj-12-q06 source crop

9231-2026-mj-12-q06 source crop

9231-2026-mj-12-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2026-mj-13-q06

May/June 2026 · Paper 13 · Question 6 · 14 marks · View answer side by side

9231-2026-mj-13-q06 source crop

9231-2026-mj-13-q06 source crop

9231-2026-mj-13-q06 source crop

Source pages: 12, 13, 14 · source PDF URL

9231-2026-mj-14-q06

May/June 2026 · Paper 14 · Question 6 · 13 marks · View answer side by side

9231-2026-mj-14-q06 source crop

9231-2026-mj-14-q06 source crop

Source pages: 10, 11 · source PDF URL