CIE IAL · Mathematics · 9709 P1 · Differentiation
Topic Questions: • apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change — 9709 P1 Differentiation
82 9709 P1 Differentiation topic questions are tagged to this syllabus point across 43 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Differentiation syllabus point appears in 43 9709 P1 papers across 2020–2026, contributing 82 topic questions and 307 marks. The most recent appearance is 9709/11 May/June 2026. That equals 44.8% of the 183 topic questions and 50.7% of the 605 marks tagged to Differentiation. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/11May/June 2026 · CIE IAL | Q5 Normal to Curve with Square Root - CIE Mathematics 2026 Jun Paper 11 Q5 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/12May/June 2026 · CIE IAL | Q9 Area Under Curve and Normal Line - CIE A-Level Maths 2026 Jun Paper 12 Q9 |
FRQ | 1 of 2 parts ((b)) | 7 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2026 · CIE IAL | Q4 Normal Parallel to Line - CIE Pure Mathematics 2026 Jun Q4 |
FRQ | 2 parts ((a), (b)) | 7 | Medium | Go to Practice Hub |
| 9709/13May/June 2026 · CIE IAL | Q9 Chain Rule and Connected Rates of Change - CIE Pure Mathematics 2026 Jun Q9 |
FRQ | 1 of 2 parts ((b)) | 5 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q2 Rate of Change of Water Height - CIE Pure Mathematics 2026 Jun Paper 15 Q2 |
FRQ | 1 part | 3 | Medium | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q9 Rational Function Derivative Inverse Domain Range - CIE Pure Mathematics 2026 Jun Paper 15 Q9 |
FRQ | 1 of 4 parts ((a)(ii)) | 1 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/11October/November 2025 · CIE IAL | Q7 Shaded Region Area and Related Rates - CIE Pure Mathematics Q7 |
FRQ | 2 of 3 parts ((b)(i), (b)(ii)) | 6 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2025 · CIE IAL | Q11 Normal Equation and Integration - CIE Pure Mathematics Q11 |
FRQ | 1 of 3 parts ((a)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2025 · CIE IAL | Q4 Integration to Find Curve Equation - CIE A-Level Maths 2025 Nov Paper 12 Q4 |
FRQ | 1 of 2 parts ((a)) | 1 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2025 · CIE IAL | Q9 Derivative, Inverse, and Composite Function Domain - CIE A-Level Maths 2025 Nov Paper 12 Q9 |
FRQ | 1 of 4 parts ((a)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2025 · CIE IAL | Q11 Stationary Points and Tangents - CIE A-Level Maths 2025 Q11 |
FRQ | 1 of 3 parts ((a)) | 6 of 13 on the paper |
Medium | Go to Practice Hub |
| 9709/15October/November 2025 · CIE IAL | Q7 Optimization of Open Cylindrical Tank Volume - CIE Mathematics 2025 Nov Paper 15 Q7 |
FRQ | 1 of 3 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/15October/November 2025 · CIE IAL | Q11 Tangent and Area Bounded by Cubic Curve - CIE Mathematics 2025 Nov Paper 15 Q11 |
FRQ | 1 of 4 parts ((a)) | 5 of 14 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2025 · CIE IAL | Q2 Curve Equation from Gradient - CIE Pure Mathematics 2025 Jun Paper 11 Q2 |
FRQ | 1 of 2 parts ((a)) | 2 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2025 · CIE IAL | Q7 Stationary Points and Rates of Change - CIE Pure Mathematics 2025 Jun Paper 11 Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2025 · CIE IAL | Q4 Rates of Change and Stationary Points - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q4 |
FRQ | 1 of 2 parts ((a)) | 3 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/12May/June 2025 · CIE IAL | Q9 Second Derivative and Normal to Curve - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q9 |
FRQ | 1 of 4 parts ((d)) | 4 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2025 · CIE IAL | Q1 Tangent to Curve - CIE 9709 2025 Jun Paper 13 Q1 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
| 9709/13May/June 2025 · CIE IAL | Q7 Stationary Points and Curve Integration - CIE 9709 2025 Jun Paper 13 Q7 |
FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/15May/June 2025 · CIE IAL | Q8 Cubic Curve Stationary Points - CIE A-Level Mathematics 2025 Jun Paper 15 Q8 |
FRQ | 1 of 3 parts ((c)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q5 Finding x-coordinate and Curve Equation from Derivative - CIE Mathematics 2024 Nov Paper 11 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q7 Tangent and Area Under Curve - CIE Mathematics 2024 Nov Paper 11 Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q9 Decreasing Function Range and Tangent Constant - CIE Mathematics 2024 Nov Paper 11 Q9 |
FRQ | 2 parts ((a), (b)) | 8 | Medium | Go to Practice Hub |
| 9709/12October/November 2024 · CIE IAL | Q10 Derivative Integration and Monotonicity - CIE A-Level Maths 2024 Nov Paper 12 Q10 |
FRQ | 2 of 3 parts ((a), (c)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2024 · CIE IAL | Q11 Stationary Points and Tangents Intersection - CIE Pure Mathematics 2024 Nov Paper 13 Q11 |
FRQ | 1 of 3 parts ((c)) | 6 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2024 · CIE IAL | Q11 Decreasing Functions and Tangent Normal Triangle - CIE Pure Mathematics 1 2024 Jun Q11 |
FRQ | 2 parts ((a), (b)) | 13 | Medium | Go to Practice Hub |
| 9709/12May/June 2024 · CIE IAL | Q9 Decreasing Function and Finding f(x) by Integration - CIE P1 2024 Jun Q9 |
FRQ | 1 of 2 parts ((a)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2024 · CIE IAL | Q10 Connected Rates of Change and Perpendicular Bisector - CIE P1 2024 Jun Q10 |
FRQ | 2 parts ((a), (b)) | 10 | Medium | Go to Practice Hub |
| 9709/13May/June 2024 · CIE IAL | Q5 Curve Stationary Points and Nature - CIE 9709 s24 qp 13 Q5 |
FRQ | 1 of 3 parts ((c)) | 2 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2024 · CIE IAL | Q9 Tangent Equation and Volume of Revolution - CIE 9709 s24 qp 13 Q9 |
FRQ | 1 of 2 parts ((a)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2024 · CIE IAL | Q5 Equation of Normal to Rational Curve - CIE Pure Mathematics 1 2024 March Paper 12 Q5 |
FRQ | 1 part | 6 | Medium | Go to Practice Hub |
| 9709/11October/November 2023 · CIE IAL | Q3 Rate of Increase of Cube Volume - CIE Mathematics 2023 Nov Paper 11 Q3 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/11October/November 2023 · CIE IAL | Q10 Stationary Points and Tangent of Curve - CIE Mathematics 2023 Nov Paper 11 Q10 |
FRQ | 1 of 4 parts ((d)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2023 · CIE IAL | Q3 Normal and Curve Equation - CIE 9709 P12 2023 Nov Q3 |
FRQ | 1 of 2 parts ((a)) | 2 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2023 · CIE IAL | Q10 Stationary Points and Increasing Interval - CIE 9709 P12 2023 Nov Q10 |
FRQ | 1 of 2 parts ((b)) | 1 of 7 on the paper |
Hard | Go to Practice Hub |
| 9709/13October/November 2023 · CIE IAL | Q6 Line Tangent to Quadratic Curve - CIE A-Level Maths 2023 Nov Paper 13 Q6 |
FRQ | 1 part | 7 | Hard | Go to Practice Hub |
| 9709/13October/November 2023 · CIE IAL | Q9 Normal and Related Rates of Change - CIE A-Level Maths 2023 Nov Paper 13 Q9 |
FRQ | 3 parts ((a), (b), (c)) | 8 | Medium | Go to Practice Hub |
| 9709/11May/June 2023 · CIE IAL | Q9 Connected Rates of Change in Water Tank - CIE 9709 Pure Mathematics June 2023 Paper 11 Q9 |
FRQ | 2 parts ((a), (b)) | 6 | Medium | Go to Practice Hub |
| 9709/11May/June 2023 · CIE IAL | Q10 Volume of Revolution and Tangent Triangle Area - CIE 9709 Pure Mathematics June 2023 Paper 11 Q10 |
FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper |
Hard | Go to Practice Hub |
| 9709/12May/June 2023 · CIE IAL | Q11 Stationary Points and Normal Line - CIE Math 2023 Jun Paper 12 Q11 |
FRQ | 1 of 3 parts ((c)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2023 · CIE IAL | Q9 Curve Integration and Tangent Intersection - CIE Pure Mathematics 1 2023 Jun Q9 |
FRQ | 1 of 3 parts ((b)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2023 · CIE IAL | Q10 Curve Differentiation Normal and Area - CIE Pure Mathematics 1 2023 Jun Q10 |
FRQ | 1 of 3 parts ((b)) | 3 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2022 · CIE IAL | Q8 | FRQ | 1 of 3 parts ((c)) | 1 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2022 · CIE IAL | Q11 Area Between Curves and Connected Rates of Change - CIE Pure Mathematics 2022 Nov Paper 12 Q11 |
FRQ | 1 of 3 parts ((c)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2022 · CIE IAL | Q4 Connected Rates of Change in Water Tank - CIE A-Level Maths 2022 Nov Paper 13 Q4 |
FRQ | 1 part | 5 | Hard | Go to Practice Hub |
| 9709/13October/November 2022 · CIE IAL | Q7 Derivative, Tangent Gradient and Integration - CIE A-Level Maths 2022 Nov Paper 13 Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2022 · CIE IAL | Q10 Second Derivative Integration and Related Rates - CIE 9709 s22 qp 11 Q10 |
FRQ | 1 of 4 parts ((d)) | 3 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2022 · CIE IAL | Q10 Rational and Quadratic Functions Analysis - CIE P1 2022 Jun Q10 |
FRQ | 1 of 5 parts ((e)) | 6 of 13 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q8 Area Between Curve and Line - CIE Pure Mathematics 2022 Jun Paper 13 Q8 |
FRQ | 1 of 2 parts ((a)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q10 Improper Integral and Rates of Change - CIE Pure Mathematics 2022 Jun Paper 13 Q10 |
FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q11 Tangent and Normal Parametric Intersections - CIE Pure Mathematics 2022 Jun Paper 13 Q11 |
FRQ | 1 of 2 parts ((b)) | 4 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/12March 2022 · CIE IAL | Q11 Stationary Points and Monotonicity - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q11 |
FRQ | 1 of 3 parts ((c)) | 2 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2021 · CIE IAL | Q10 Improper Integral, Volume of Revolution and Normal Line - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q10 |
FRQ | 1 of 3 parts ((c)) | 4 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2021 · CIE IAL | Q9 | FRQ | 2 parts ((a), (b)) | 6 | Medium | Go to Practice Hub |
| 9709/12October/November 2021 · CIE IAL | Q11 Normal Line Intersect and Integration Area - CIE Pure Mathematics 2021 Nov Paper 12 Q11 |
FRQ | 1 of 2 parts ((a)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2021 · CIE IAL | Q3 Completing the Square and Monotonicity - CIE A-Level Mathematics 2021 Nov Paper 13 Q3 |
FRQ | 1 of 2 parts ((b)) | 3 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/13October/November 2021 · CIE IAL | Q8 Area Between Curves and Line Normal - CIE A-Level Mathematics 2021 Nov Paper 13 Q8 |
FRQ | 1 of 2 parts ((b)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2021 · CIE IAL | Q11 Calculus of Square Root Curve - CIE 9709 P1 2021 Jun Q11 |
FRQ | 1 of 4 parts ((a)) | 5 of 14 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2021 · CIE IAL | Q2 Decreasing Function Maximum Interval Boundary - CIE P1 2021 Jun Q2 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/13May/June 2021 · CIE IAL | Q11 Stationary Point, Tangent, and Area Under Curve - CIE P1 2021 Jun Q11 |
FRQ | 1 of 3 parts ((b)) | 4 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2021 · CIE IAL | Q6 Rates of Change and Integration - CIE Pure Mathematics 2021 Mar Paper 12 Q6 |
FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/12March 2021 · CIE IAL | Q11 Curve Analysis Integration and Stationary Points - CIE Pure Mathematics 2021 Mar Paper 12 Q11 |
FRQ | 1 of 4 parts ((b)) | 4 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2020 · CIE IAL | Q7 Rates of Change and Integration - CIE 9709 Nov 2020 Paper 12 Q7 |
FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2020 · CIE IAL | Q10 Gradient and Integration with Variable Parameters - CIE 9709 Nov 2020 P13 Q10 |
FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2020 · CIE IAL | Q11 Volume of Revolution Bounded Region - CIE Pure Mathematics 2020 Jun Paper 11 Q11 |
FRQ | 1 of 2 parts ((a)) | 6 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2020 · CIE IAL | Q3 Rate of Change of Inflating Sphere - CIE P1 2020 Jun Q3 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/12May/June 2020 · CIE IAL | Q8 Volume of Revolution About Y-Axis - CIE P1 2020 Jun Q8 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2020 · CIE IAL | Q6 Connected Rates of Change - CIE Pure Mathematics 2020 June Paper 13 Q6 |
FRQ | 2 parts ((a), (b)) | 7 | Medium | Go to Practice Hub |
| 9709/12March 2020 · CIE IAL | Q1 Increasing or Decreasing Function - CIE A-Level Maths 2020 Mar Paper 12 Q1 |
FRQ | 1 part | 3 | Medium | Go to Practice Hub |
| 9709/12March 2020 · CIE IAL | Q4 Connected Rates of Change - CIE A-Level Maths 2020 Mar Paper 12 Q4 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
Related topic questions in Differentiation
• locate stationary points and determine their nature, and use information about stationary points in sketching graphs
195 marks · 2020–2026
• understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations , , , and for first and second derivatives
34 marks · 2020–2025
• use the derivative of (for any rational ), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule
168 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 70 question stems cover this subtopic across 43 papers, but only 82 tagged parts and 307 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.