CIE IAL · Mathematics · 9709 P6 · Continuous random variables

Topic Questions: • use a probability density function to solve problems involving probabilities, and to calculate the mean and variance of a distribution — 9709 P6 Continuous random variables

83 9709 P6 Continuous random variables topic questions are tagged to this syllabus point across 40 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.

83 topic questions 40 papers 268 tagged marks 56.8% of topic questions 63.5% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Continuous random variables syllabus point appears in 40 9709 P6 papers across 2020–2026, contributing 83 topic questions and 268 marks. The most recent appearance is 9709/61 May/June 2026. That equals 56.8% of the 146 topic questions and 63.5% of the 422 marks tagged to Continuous random variables. 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
9709/61May/June 2026 · CIE IAL Q6
Truncated Exponential PDF Mean - CIE A-Level Mathematics 2026 Jun Paper 61 Q6
FRQ 1 of 2 parts ((b)) 4
of 8 on the paper
Medium Go to Practice Hub
9709/62May/June 2026 · CIE IAL Q7
Expectation and Median of Continuous Random Variable - CIE A Level Mathematics
FRQ 2 parts ((a), (b)) 10 Hard Go to Practice Hub
9709/63May/June 2026 · CIE IAL Q3
Variance of Continuous Random Variable - CIE 9709 Jun 2026 Paper 63 Q3
FRQ 1 part 6 Medium Go to Practice Hub
9709/65May/June 2026 · CIE IAL Q4
Linear PDF Median and Expectation - CIE A-Level Mathematics 2026 Q4
FRQ 2 parts ((a), (b)) 9 Medium Go to Practice Hub
9709/62March 2026 · CIE IAL Q5
Unfair Dice Hypothesis Testing and Type II Error - CIE A Level Maths
FRQ 1 of 4 parts ((a)) 2
of 7 on the paper
Easy Go to Practice Hub
9709/62March 2026 · CIE IAL Q6
Continuous Probability Density Function of Stone Widths - CIE A Level Maths
FRQ 3 of 4 parts ((b), (c)(i), (c)(ii)) 6
of 9 on the paper
Easy Go to Practice Hub
9709/61October/November 2025 · CIE IAL Q7
Continuous Probability Density Function and Symmetry - CIE Paper 6
FRQ 3 parts ((a), (b), (c)) 7 Medium Go to Practice Hub
9709/63October/November 2025 · CIE IAL Q7
Continuous Random Variables and Symmetry - CIE A-Level Mathematics
FRQ 1 of 3 parts ((a)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/61May/June 2025 · CIE IAL Q7
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/62May/June 2025 · CIE IAL Q7
Properties of Continuous Probability Density Function - CIE A-Level Statistics Q7
FRQ 2 of 3 parts ((b), (c)) 6
of 9 on the paper
Easy Go to Practice Hub
9709/63May/June 2025 · CIE IAL Q6
Properties of Continuous PDF - CIE A-Level Mathematics Q6
FRQ 1 of 2 parts ((b)) 6
of 9 on the paper
Easy Go to Practice Hub
9709/65May/June 2025 · CIE IAL Q8
Triangular PDF and Expected Value - CIE 9709 June 2025 Paper 65 Q8
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/62March 2025 · CIE IAL Q4
Trapezoidal and Cosine PDFs - CIE A Level Mathematics 2025 Mar Paper 62 Q4
FRQ 2 of 3 parts ((a)(ii), (b)) 9
of 11 on the paper
Medium Go to Practice Hub
9709/62October/November 2024 · CIE IAL Q6
Reciprocal Square PDF Challenge Time - CIE Probability & Statistics 2024 Nov Paper 62 Q6
FRQ 3 of 4 parts ((b), (c), (d)) 10
of 11 on the paper
Medium Go to Practice Hub
9709/63October/November 2024 · CIE IAL Q4
Probability Density Function of Continuous RV - CIE A-Level Maths Q4
FRQ 1 of 2 parts ((b)) 3
of 6 on the paper
Medium Go to Practice Hub
9709/62May/June 2024 · CIE IAL Q7
Trigonometric Continuous Random Variable - CIE P6 Q7
FRQ 2 of 3 parts ((b), (c)) 7
of 10 on the paper
Easy Go to Practice Hub
9709/63May/June 2024 · CIE IAL Q5
Continuous Probability Density Function Properties - CIE A Level Mathematics Q5
FRQ 2 of 3 parts ((b), (c)) 7
of 10 on the paper
Easy Go to Practice Hub
9709/62March 2024 · CIE IAL Q6
Probability Density Functions and Variance - CIE Mathematics Q6
FRQ 2 of 3 parts ((b), (c)) 8
of 10 on the paper
Medium Go to Practice Hub
9709/61October/November 2023 · CIE IAL Q6
Symmetric Continuous Random Variable - CIE A-Level Maths 2023
FRQ 3 parts ((a), (b), (c)) 8 Easy Go to Practice Hub
9709/62October/November 2023 · CIE IAL Q5
Reciprocal PDF Properties - CIE A-Level Mathematics
FRQ 2 of 3 parts ((a), (c)) 6
of 9 on the paper
Medium Go to Practice Hub
9709/63October/November 2023 · CIE IAL Q6
Symmetric Continuous Random Variable PDF - CIE A-Level Maths
FRQ 1 of 3 parts ((c)) 5
of 8 on the paper
Easy Go to Practice Hub
9709/61May/June 2023 · CIE IAL Q2
Probability Density Function of Time - CIE Mathematics 2023 Jun Paper 61 Q2
FRQ 1 of 4 parts ((c)(ii)) 3
of 8 on the paper
Easy Go to Practice Hub
9709/62May/June 2023 · CIE IAL Q7
Probability Density Functions - CIE 9709 Jun 2023 Paper 62 Q7
FRQ 2 of 3 parts ((a)(ii), (b)) 6
of 8 on the paper
Easy Go to Practice Hub
9709/63May/June 2023 · CIE IAL Q1
Expectation of Continuous Random Variable - CIE 9709 S23 Paper 63 Q1
FRQ 1 part 3 Easy Go to Practice Hub
9709/63May/June 2023 · CIE IAL Q7
Semicircular Probability Density Function - CIE 9709 S23 Paper 63 Q7
FRQ 1 of 2 parts ((b)) 6
of 8 on the paper
Easy Go to Practice Hub
9709/62March 2023 · CIE IAL Q3
Symmetrical Probability Density Function - CIE 9709 March 2023 Paper 62 Q3
FRQ 2 of 3 parts ((a), (b)(ii)) 5
of 8 on the paper
Medium Go to Practice Hub
9709/61October/November 2022 · CIE IAL Q6
PDF Transformation and Integration - CIE A-Level Maths 2022 Nov Paper 61 Q6
FRQ 2 of 4 parts ((c), (d)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/62October/November 2022 · CIE IAL Q7
Symmetrical PDF and Parameter Determination - CIE 9709 Nov 2022 Paper 62 Q7
FRQ 1 of 3 parts ((a)) 2
of 8 on the paper
Medium Go to Practice Hub
9709/63October/November 2022 · CIE IAL Q6
PDF Transformations and Probability Calculation - CIE A-Level Mathematics Q6
FRQ 2 of 4 parts ((c), (d)) 4
of 7 on the paper
Medium Go to Practice Hub
9709/61May/June 2022 · CIE IAL Q6
Uniform Continuous Distribution - CIE Statistics Q6
FRQ 3 of 4 parts ((b), (c), (d)) 8
of 9 on the paper
Easy Go to Practice Hub
9709/62May/June 2022 · CIE IAL Q5
Continuous Random Variable PDF Properties - CIE A Level Mathematics Q5
FRQ 3 parts ((a), (b), (c)) 9 Medium Go to Practice Hub
9709/63May/June 2022 · CIE IAL Q7
Continuous Probability Density Functions - CIE A-Level Mathematics Q7
FRQ 3 of 4 parts ((a)(i), (a)(ii), (b)) 8
of 9 on the paper
Easy Go to Practice Hub
9709/61October/November 2021 · CIE IAL Q4
Polynomial Probability Density Function Properties - CIE A Level Probability & Statistics Q4
FRQ 3 parts ((a), (b), (c)) 9 Easy Go to Practice Hub
9709/62October/November 2021 · CIE IAL Q7
Probability Density Function of Continuous Variable - CIE A Level Mathematics 2021 Nov Paper 62 Q7
FRQ 2 of 3 parts ((a)(ii), (b)) 6
of 9 on the paper
Medium Go to Practice Hub
9709/63October/November 2021 · CIE IAL Q4
Continuous Random Variable PDF and Median - CIE A-Level Probability & Statistics 2 Q4
FRQ 3 parts ((a), (b), (c)) 9 Easy Go to Practice Hub
9709/61May/June 2021 · CIE IAL Q3
Symmetrical Probability Density Function - CIE A-Level Mathematics
FRQ 1 part 2 Medium Go to Practice Hub
9709/61May/June 2021 · CIE IAL Q6
Continuous Random Variable Variance Proof - CIE A-Level Mathematics
FRQ 1 part 6 Medium Go to Practice Hub
9709/62May/June 2021 · CIE IAL Q3
Triangular Probability Density Function - CIE A-Level Maths 2021 Jun Q3
FRQ 1 of 2 parts ((b)) 5
of 7 on the paper
Medium Go to Practice Hub
9709/61October/November 2020 · CIE IAL Q4
Uniform Continuous Distribution PDF - CIE 9709 Nov 2020 Paper 61 Q4
FRQ 1 of 2 parts ((b)) 4
of 5 on the paper
Easy Go to Practice Hub
9709/61May/June 2020 · CIE IAL Q6
Bus Waiting Time PDF Analysis - CIE A-Level Mathematics P6 Q6
FRQ 4 of 6 parts ((b), (c), (d), (e)) 9
of 11 on the paper
Easy Go to Practice Hub
9709/62May/June 2020 · CIE IAL Q6
Continuous Random Variable PDF - CIE A-Level Mathematics Q6
FRQ 2 of 3 parts ((b), (c)) 7
of 10 on the paper
Medium Go to Practice Hub
9709/63May/June 2020 · CIE IAL Q6
Continuous Random Variable Worm Length Distribution - CIE A-Level Probability & Statistics 2
FRQ 3 parts ((a), (b), (c)) 9 Medium Go to Practice Hub
9709/62March 2020 · CIE IAL Q5
Lanta Juice Continuous PDF - CIE S2 Q5
FRQ 2 of 3 parts ((a), (b)) 7
of 9 on the paper
Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
43 question stems cover this subtopic across 40 papers, but only 83 tagged parts and 268 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.