CIE IAL · Mathematics · 9709 P2 · Logarithmic and exponential functions

Topic Questions: • understand the definition and properties of and , including their relationship as inverse functions and their graphs — 9709 P2 Logarithmic and exponential functions

32 9709 P2 Logarithmic and exponential functions topic questions are tagged to this syllabus point across 24 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.

32 topic questions 24 papers 123 tagged marks 25.6% of topic questions 28.4% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Logarithmic and exponential functions syllabus point appears in 24 9709 P2 papers across 2020–2026, contributing 32 topic questions and 123 marks. The most recent appearance is 9709/21 May/June 2026. That equals 25.6% of the 125 topic questions and 28.4% of the 433 marks tagged to Logarithmic and exponential functions. 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.

PaperQuestionTypePartsMarksDifficultyPractice
9709/21May/June 2026 · CIE IAL Q6
Parametric Differentiation of Exponential Function - CIE A Level Maths 2026 Jun Paper 21 Q6
FRQ 2 of 3 parts ((b), (c)) 6
of 10 on the paper
Medium Go to Practice Hub
9709/23May/June 2026 · CIE IAL Q5
Solving Modulus and Logarithmic Inequalities - CIE Pure Mathematics 2026 Jun Paper 23 Q5
FRQ 1 of 2 parts ((b)) 3
of 7 on the paper
Medium Go to Practice Hub
9709/25May/June 2026 · CIE IAL Q5
Modulus Inequality and Logarithmic Application - CIE 9709 Pure Mathematics 2026 Jun Paper 25 Q5
FRQ 1 of 2 parts ((b)) 3
of 7 on the paper
Medium Go to Practice Hub
9709/22March 2026 · CIE IAL Q3
Linear Form Transformation of Exponential Model - CIE 9709 P22 2026 Q3
FRQ 1 part 5 Medium Go to Practice Hub
9709/22March 2026 · CIE IAL Q7
Exponential Definite Integral and Iterative Method - CIE 9709 P22 2026 Q7
FRQ 1 of 3 parts ((a)) 5
of 10 on the paper
Hard Go to Practice Hub
9709/22March 2026 · CIE IAL Q8
Tangent Line to Logarithmic Curve - CIE 9709 P22 2026 Q8
FRQ 1 part 8 Hard Go to Practice Hub
9709/22October/November 2025 · CIE IAL Q1
Logarithmic Equation with Exact Solution - CIE Pure Mathematics 2025 Paper 22 Q1
FRQ 1 part 4 Medium Go to Practice Hub
9709/22October/November 2025 · CIE IAL Q6
Definite Integral and Numerical Solution of Exponential Equation - CIE Pure Mathematics 2025 Paper 22 Q6
FRQ 1 of 3 parts ((a)) 4
of 9 on the paper
Easy Go to Practice Hub
9709/23October/November 2025 · CIE IAL Q8
Stationary Point of Exponential Product Function - CIE P2 2025 Q8
FRQ 1 part 6 Hard Go to Practice Hub
9709/25October/November 2025 · CIE IAL Q5
Shaded Region Bounded by Exponential Curve and Line - CIE 9709 Pure Mathematics 2025 Nov Paper 25 Q5
FRQ 1 of 2 parts ((a)) 2
of 7 on the paper
Easy Go to Practice Hub
9709/21May/June 2025 · CIE IAL Q3
Intersection of Exponential and Secant Curves - CIE A-Level Maths 2025 Jun Paper 21 Q3
FRQ 1 of 3 parts ((a)) 2
of 7 on the paper
Medium Go to Practice Hub
9709/23May/June 2025 · CIE IAL Q6
Implicit Differentiation and Tangent to Logarithmic Curve - CIE Pure Mathematics 2025 Jun Paper 23 Q6
FRQ 1 of 2 parts ((a)) 3
of 9 on the paper
Medium Go to Practice Hub
9709/25May/June 2025 · CIE IAL Q6
Implicit Curve Analysis and Tangent Equation - CIE Pure Maths 2025 Jun P25 Q6
FRQ 1 of 2 parts ((a)) 3
of 9 on the paper
Medium Go to Practice Hub
9709/22March 2025 · CIE IAL Q3
Intersection and Area of Exponential Curves - CIE A-Level Maths 2025 Mar Paper 22 Q3
FRQ 1 of 2 parts ((a)) 2
of 5 on the paper
Easy Go to Practice Hub
9709/22March 2025 · CIE IAL Q5
Iterative Method and Sign Change - CIE A-Level Maths 2025 Mar Paper 22 Q5
FRQ 1 of 4 parts ((a)) 2
of 8 on the paper
Medium Go to Practice Hub
9709/22March 2025 · CIE IAL Q8
Implicit Differentiation and Stationary Points - CIE A-Level Maths 2025 Mar Paper 22 Q8
FRQ 1 of 2 parts ((b)) 3
of 7 on the paper
Medium Go to Practice Hub
9709/21October/November 2024 · CIE IAL Q5
Definite Integral and Iterative Method - A-Level Mathematics Q5
FRQ 1 of 2 parts ((a)) 5
of 8 on the paper
Hard Go to Practice Hub
9709/22October/November 2024 · CIE IAL Q4
Exponential and Modulus Graphs - CIE Pure Maths 2024 Nov Paper 22 Q4
FRQ 1 of 3 parts ((a)) 2
of 7 on the paper
Medium Go to Practice Hub
9709/23October/November 2024 · CIE IAL Q5
Integration with Logarithmic Limits and Numerical Iteration - CIE Pure Mathematics Q5
FRQ 1 of 2 parts ((a)) 5
of 8 on the paper
Medium Go to Practice Hub
9709/23May/June 2024 · CIE IAL Q3
Exponential Curve Area and Gradient - CIE Pure Mathematics 2024 Jun Paper 23 Q3
FRQ 1 of 2 parts ((b)) 5
of 8 on the paper
Easy Go to Practice Hub
9709/23October/November 2023 · CIE IAL Q7
FRQ 1 of 4 parts ((a)) 4
of 11 on the paper
Medium Go to Practice Hub
9709/21May/June 2023 · CIE IAL Q3
Definite Integral and Iteration - CIE A-Level Mathematics 2023 Jun Paper 21 Q3
FRQ 1 of 2 parts ((a)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/22March 2023 · CIE IAL Q6
Stationary Points on Exponential Curve - CIE Pure Maths 2 2023 Mar Paper 22 Q6
FRQ 1 of 2 parts ((b)) 4
of 8 on the paper
Medium Go to Practice Hub
9709/21May/June 2022 · CIE IAL Q5
Numerical Solution of Modulus Equation - CIE A Level Mathematics 2022 May Paper 21 Q5
FRQ 1 of 4 parts ((a)) 3
of 9 on the paper
Easy Go to Practice Hub
9709/21May/June 2022 · CIE IAL Q6
Stationary Point Exponential Quotient - CIE A Level Mathematics 2022 May Paper 21 Q6
FRQ 1 of 2 parts ((b)) 4
of 8 on the paper
Medium Go to Practice Hub
9709/23May/June 2022 · CIE IAL Q4
Trapezium Rule with Logarithms - CIE P2 2022 Jun Q4
FRQ 1 of 2 parts ((b)) 2
of 6 on the paper
Medium Go to Practice Hub
9709/22March 2022 · CIE IAL Q2
Tangent to Logarithmic Curve - CIE A-Level Mathematics Q2
FRQ 1 part 5 Medium Go to Practice Hub
9709/22March 2022 · CIE IAL Q7
Implicit Differentiation and Numerical Iteration - CIE A-Level Mathematics Q7
FRQ 1 of 4 parts ((c)) 4
of 12 on the paper
Medium Go to Practice Hub
9709/21May/June 2021 · CIE IAL Q7
Polynomial Factorisation and Exponential Equation - CIE 9709 P21 2021 Jun Q7
FRQ 1 of 3 parts ((c)) 4
of 9 on the paper
Easy Go to Practice Hub
9709/22May/June 2021 · CIE IAL Q6
Logarithmic Curve Stationary Points and Gradients - CIE Math 2021 Jun Paper 22 Q6
FRQ 1 of 2 parts ((a)) 6
of 8 on the paper
Medium Go to Practice Hub
9709/21October/November 2020 · CIE IAL Q3
Area of Shaded Region under Exponential Curve - CIE Pure Mathematics 2020 Nov Paper 21 Q3
FRQ 1 part 5 Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
31 question stems cover this subtopic across 24 papers, but only 32 tagged parts and 123 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.