CIE IAL · Mathematics · 9709 P5 · Discrete random variables
Topic Questions: • use formulae for probabilities for the binomial and geometric distributions, and recognise practical situations where these distributions are suitable models — 9709 P5 Discrete random variables
132 9709 P5 Discrete random variables topic questions are tagged to this syllabus point across 49 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 Discrete random variables syllabus point appears in 49 9709 P5 papers across 2020–2026, contributing 132 topic questions and 302 marks. The most recent appearance is 9709/51 May/June 2026. That equals 57.6% of the 229 topic questions and 53.4% of the 566 marks tagged to Discrete 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.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/51May/June 2026 · CIE IAL | Q4 Marble Selection Probabilities - CIE A-Level Maths 2023 |
FRQ | 2 of 3 parts ((a), (c)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2026 · CIE IAL | Q2 Biased Coin Throws - CIE Mathematics 2024 Q2 |
FRQ | 2 of 3 parts ((b), (c)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2026 · CIE IAL | Q4 Puzzle Completion Probability - CIE Mathematics 2024 Q4 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2026 · CIE IAL | Q1 8-sided Dice Repeated Throws - CIE A Level Mathematics 2026 Q1 |
FRQ | 3 parts ((a), (b), (c)) | 6 | Easy | Go to Practice Hub |
| 9709/55May/June 2026 · CIE IAL | Q4 Binomial Distribution and Normal Approximation for Store Shoppers - CIE A Level Maths 2026 Q4 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/55May/June 2026 · CIE IAL | Q5 Probability Distribution and Repeated Spins - CIE A Level Maths 2026 Q5 |
FRQ | 2 of 4 parts ((c), (d)) | 4 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2026 · CIE IAL | Q4 Disc Sampling Distributions - CIE 9709 S1 2026 Mar Paper 52 Q4 |
FRQ | 1 of 4 parts ((a)) | 1 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2026 · CIE IAL | Q6 Pasta Bag Masses - CIE 9709 S1 2026 Mar Paper 52 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/51October/November 2025 · CIE IAL | Q2 Dice Rolling Probabilities - CIE A-Level Maths 2025 Nov Paper 51 Q2 |
FRQ | 2 parts ((a), (b)) | 4 | Easy | Go to Practice Hub |
| 9709/51October/November 2025 · CIE IAL | Q5 Cooper's Jumper Choice - CIE A-Level Maths 2025 Nov Paper 51 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2025 · CIE IAL | Q1 Biased Coin Geometric Distribution - CIE A Level Maths Q1 |
FRQ | 2 parts ((a), (b)) | 3 | Easy | Go to Practice Hub |
| 9709/52October/November 2025 · CIE IAL | Q6 Birthday Days Probability Distributions - CIE A Level Maths Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/53October/November 2025 · CIE IAL | Q1 Student Travel Modes - CIE 9709 2025 Nov Paper 53 Q1 |
FRQ | 1 of 2 parts ((b)) | 3 of 4 on the paper |
Easy | Go to Practice Hub |
| 9709/53October/November 2025 · CIE IAL | Q4 Two Spinners Discrete Random Variable - CIE 9709 2025 Nov Paper 53 Q4 |
FRQ | 1 of 3 parts ((c)) | 2 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/55October/November 2025 · CIE IAL | Q1 Dice Throws Geometric Distribution - CIE 9709 Nov 2025 Paper 55 Q1 |
FRQ | 2 parts ((a), (b)) | 3 | Easy | Go to Practice Hub |
| 9709/55October/November 2025 · CIE IAL | Q2 Four Sided Spinner Discrete Distribution - CIE 9709 Nov 2025 Paper 55 Q2 |
FRQ | 1 of 2 parts ((b)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2025 · CIE IAL | Q2 Arrangements and Probability with Dice Rolls - CIE S1 Q2 |
FRQ | 1 of 3 parts ((b)) | 2 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2025 · CIE IAL | Q4 Puzzle Event Normal Distribution and Binomial Approximation - CIE S1 Q4 |
FRQ | 1 of 3 parts ((b)) | 3 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2025 · CIE IAL | Q4 Junction Turning Direction Probabilities - CIE A-Level Mathematics 2025 Jun Paper 52 Q4 |
FRQ | 1 of 3 parts ((b)) | 2 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2025 · CIE IAL | Q7 Kestrel Wingspans and Masses Normal Distribution - CIE A-Level Mathematics 2025 Jun Paper 52 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2025 · CIE IAL | Q2 Students Choice of Drama and Art or Music - CIE A Level Mathematics 2025 Jun Paper 53 Q2 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/53May/June 2025 · CIE IAL | Q3 Repeated Dice Roll Geometric Distribution - CIE A Level Mathematics 2025 Jun Paper 53 Q3 |
FRQ | 2 of 3 parts ((a), (b)) | 3 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/55May/June 2025 · CIE IAL | Q3 Pupils Taking Music Lessons - CIE A Level Mathematics 2025 June Paper 55 Q3 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2025 · CIE IAL | Q2 Computer Sales Probabilities and Normal Approximation - CIE 9709 March 2025 Paper 52 Q2 |
FRQ | 1 of 3 parts ((b)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2025 · CIE IAL | Q5 Normal Distribution and Geometric Probability of Fruit Sales - CIE 9709 March 2025 Paper 52 Q5 |
FRQ | 2 of 4 parts ((c), (d)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/51October/November 2024 · CIE IAL | Q1 Geometric Distribution of Dice Throws - CIE A-Level Maths 2024 Nov Paper 51 Q1 |
FRQ | 2 parts ((a), (b)) | 4 | Easy | Go to Practice Hub |
| 9709/51October/November 2024 · CIE IAL | Q6 Normal Distribution Parameters and Selection - CIE A-Level Maths 2024 Nov Paper 51 Q6 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2024 · CIE IAL | Q1 Conditional Probability and Binomial Distribution - CIE S1 |
FRQ | 1 of 4 parts ((d)) | 3 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/52October/November 2024 · CIE IAL | Q7 Geometric and Normal Approximation for Goal Scoring - CIE S1 |
FRQ | 3 of 4 parts ((a), (b), (c)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/53October/November 2024 · CIE IAL | Q5 Foil Wrapped Chocolates Probabilities - CIE S1 |
FRQ | 2 of 3 parts ((a), (b)) | 5 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2024 · CIE IAL | Q5 Arctic Snowfall Probabilities - CIE Paper 51 2024 Jun Q5 |
FRQ | 2 of 3 parts ((a), (b)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2024 · CIE IAL | Q1 Music Festival Ticket Probability - CIE 9709 S1 2024 Jun Q1 |
FRQ | 2 of 3 parts ((a), (b)) | 3 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/52May/June 2024 · CIE IAL | Q6 Bus Service Classification Normal Approximation - CIE 9709 S1 2024 Jun Q6 |
FRQ | 1 of 3 parts ((b)) | 3 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2024 · CIE IAL | Q5 Daily Crossword Puzzle Probability - CIE A-Level Maths 2024 Jun Paper 53 Q5 |
FRQ | 3 of 4 parts ((a), (b), (c)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2024 · CIE IAL | Q2 Scoring Goals Probability - CIE A Level Maths 2024 Mar Paper 52 Q2 |
FRQ | 3 parts ((a), (b), (c)) | 8 | Medium | Go to Practice Hub |
| 9709/51October/November 2023 · CIE IAL | Q2 Dice Sum Probability and Geometric Distribution - CIE 9709 Nov 2023 Paper 51 Q2 |
FRQ | 3 parts ((a), (b), (c)) | 7 | Medium | Go to Practice Hub |
| 9709/52October/November 2023 · CIE IAL | Q2 5-Sided Spinner Probabilities - CAIE A-Level Mathematics Q2 |
FRQ | 2 parts ((a), (b)) | 5 | Medium | Go to Practice Hub |
| 9709/53October/November 2023 · CIE IAL | Q5 Driving Test Pass Probability - CIE Mathematics 2023 Nov Paper 53 Q5 |
FRQ | 2 of 4 parts ((a)(i), (b)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/51May/June 2023 · CIE IAL | Q6 Four 4-Sided Dice Probability Distribution - CIE S1 2023 Jun Q6 |
FRQ | 3 of 4 parts ((a), (b), (d)) | 9 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2023 · CIE IAL | Q7 Free Gift Model Animals Probability - CIE S1 2023 Jun Q7 |
FRQ | 2 of 3 parts ((a), (b)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2023 · CIE IAL | Q4 Spinner Game and Distributions - CIE Mathematics 2023 Jun Paper 52 Q4 |
FRQ | 3 of 4 parts ((a), (b), (d)) | 6 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2023 · CIE IAL | Q1 Repeated Coin Throws and Geometric Distribution - CIE A Level Mathematics |
FRQ | 2 of 3 parts ((b), (c)) | 3 of 4 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2023 · CIE IAL | Q6 Normal Distribution Model for Daily Grape Sales - CIE A Level Mathematics |
FRQ | 1 of 3 parts ((b)) | 3 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2023 · CIE IAL | Q3 Leisure Centre Resident Survey - CIE A Level Maths 2023 Mar Paper 52 Q3 |
FRQ | 3 parts ((a), (b), (c)) | 6 | Easy | Go to Practice Hub |
| 9709/51October/November 2022 · CIE IAL | Q2 Internet Service Reliability Survey - CIE S1 2022 Nov Paper 51 Q2 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2022 · CIE IAL | Q3 Three Dice Sum Geometric Distribution - CIE A Level Maths 2022 Nov Paper 52 Q3 |
FRQ | 2 parts ((a), (b)) | 5 | Medium | Go to Practice Hub |
| 9709/52October/November 2022 · CIE IAL | Q6 Call Centre Connection Normal Approximation - CIE A Level Maths 2022 Nov Paper 52 Q6 |
FRQ | 1 of 3 parts ((a)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/53October/November 2022 · CIE IAL | Q4 Spinners Highest Score Distribution - CIE 9709 Nov 2022 Paper 53 Q4 |
FRQ | 2 of 4 parts ((c), (d)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/53October/November 2022 · CIE IAL | Q5 Sugar Bag Weights Binomial and Normal Distributions - CIE 9709 Nov 2022 Paper 53 Q5 |
FRQ | 1 of 3 parts ((a)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2022 · CIE IAL | Q4 Biased and Fair Coin Probability Distribution - CIE Mathematics 2022 Jun Paper 51 Q4 |
FRQ | 2 of 4 parts ((c), (d)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2022 · CIE IAL | Q5 Musical Instruments Binomial and Normal Approximation - CIE 9709 Statistics 1 2022 Jun Paper 52 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2022 · CIE IAL | Q4 Geometric and Binomial Probability of Die Throws - CIE A Level Maths 2022 Jun P53 Q4 |
FRQ | 3 parts ((a), (b), (c)) | 7 | Medium | Go to Practice Hub |
| 9709/52March 2022 · CIE IAL | Q2 Binomial Distribution of Rain Days - CIE 9709 S1 2022 Mar Paper 52 Q2 |
FRQ | 2 parts ((a), (b)) | 6 | Medium | Go to Practice Hub |
| 9709/52March 2022 · CIE IAL | Q6 Chocolate Selection Probabilities - CIE 9709 S1 2022 Mar Paper 52 Q6 |
FRQ | 2 of 5 parts ((a), (b)) | 3 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/51October/November 2021 · CIE IAL | Q1 Coins Thrown to Obtain Two Tails - CIE A-Level Maths 2021 Q1 |
FRQ | 2 parts ((a), (b)) | 4 | Easy | Go to Practice Hub |
| 9709/51October/November 2021 · CIE IAL | Q7 Social Media Time Normal Distribution - CIE A-Level Maths 2021 Q7 |
FRQ | 1 of 3 parts ((a)(ii)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/52October/November 2021 · CIE IAL | Q5 October Weather Binomial and Geometric Probability - CIE Probability Q5 |
FRQ | 3 parts ((a), (b), (c)) | 7 | Medium | Go to Practice Hub |
| 9709/53October/November 2021 · CIE IAL | Q6 Darts Bullseye Probability Distribution - CIE A-Level Maths 2021 Nov Paper 53 Q6 |
FRQ | 2 of 4 parts ((c), (d)) | 4 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2021 · CIE IAL | Q6 Binomial Probability and Normal Approximation for Car Commuters - CIE A-Level Math 2021 Jun Paper 51 Q6 |
FRQ | 1 of 3 parts ((a)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2021 · CIE IAL | Q1 Fair Die Repeated Throws - CIE Probability & Statistics 1 Q1 |
FRQ | 3 parts ((a), (b), (c)) | 5 | Medium | Go to Practice Hub |
| 9709/52May/June 2021 · CIE IAL | Q5 Flight Arrival Times - CIE Probability & Statistics 1 Q5 |
FRQ | 1 of 3 parts ((b)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2021 · CIE IAL | Q4 Three Dice Throw Probabilities - CIE Mathematics 2021 Jun Paper 53 Q4 |
FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2021 · CIE IAL | Q7 Broadband Quality Statistics - CIE Mathematics 2021 Jun Paper 53 Q7 |
FRQ | 1 of 4 parts ((b)(i)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2021 · CIE IAL | Q1 Spinner Landing on Three - CIE 9709 March 2021 Paper 52 Q1 |
FRQ | 2 parts ((a), (b)) | 3 | Easy | Go to Practice Hub |
| 9709/52March 2021 · CIE IAL | Q7 Sports Preferences of Students - CIE 9709 March 2021 Paper 52 Q7 |
FRQ | 1 of 4 parts ((b)(i)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/51October/November 2020 · CIE IAL | Q3 Throwing Event Success Probability - CIE Mathematics 2020 Nov Paper 51 Q3 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/52October/November 2020 · CIE IAL | Q1 Geometric and Binomial Die Probabilities - CIE A-Level Mathematics 2020 Nov Paper 52 Q1 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/53October/November 2020 · CIE IAL | Q2 Geometric Distribution Die Throws - CIE 9709 W20 P53 Q2 |
FRQ | 2 of 3 parts ((a), (c)) | 4 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/53October/November 2020 · CIE IAL | Q4 Train Arriving Late Binomial & Normal Approx - CIE 9709 W20 P53 Q4 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2020 · CIE IAL | Q1 Score of Two Dice - CIE A-Level Maths 2020 Jun Paper 51 Q1 |
FRQ | 2 of 4 parts ((c), (d)) | 3 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/51May/June 2020 · CIE IAL | Q3 Probability Distribution of Sweets - CIE A-Level Maths 2020 Jun Paper 51 Q3 |
FRQ | 1 of 2 parts ((b)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/52May/June 2020 · CIE IAL | Q7 Binomial and Normal Approximation Messaging - CIE A-Level Maths 2020 Jun Paper 52 Q7 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/53May/June 2020 · CIE IAL | Q2 Car Ownership Probability - CIE A-Level Maths 2020 Jun Paper 53 Q2 |
FRQ | 1 of 2 parts ((b)) | 3 of 4 on the paper |
Easy | Go to Practice Hub |
| 9709/53May/June 2020 · CIE IAL | Q5 Repeated Coin Tosses Geometric Distribution - CIE A-Level Maths 2020 Jun Paper 53 Q5 |
FRQ | 3 of 4 parts ((a), (b), (c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/52March 2020 · CIE IAL | Q2 Fair Die Repeated Throws Probability - CIE 9709 S1 2020 Mar Paper 52 Q2 |
FRQ | 2 of 3 parts ((a), (b)) | 6 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/52March 2020 · CIE IAL | Q5 Car Ownership Binomial and Normal Approximation - CIE 9709 S1 2020 Mar Paper 52 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
Related topic questions in Discrete random variables
• draw up a probability distribution table relating to a given situation involving a discrete random variable , and calculate and
261 marks · 2020–2026
• use formulae for the expectation and variance of the binomial distribution and for the expectation of the geometric distribution
10 marks · 2020–2023
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 76 question stems cover this subtopic across 49 papers, but only 132 tagged parts and 302 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.