Cambridge A Level Thinking Skills 9694 — 2025 Oct/Nov Paper 1 · Variant 1

This document has 16 pages. Any blank pages are indicated. [Turn over Cambridge International AS & A Level * 4 0 1 3 5 3 6 3 1 1 * DC (EV/CGW) 344378/1 © UCLES 2025 THINKING SKILLS 9694/11 Paper 1 Problem Solving October/November 2025 1 hour 30 minutes You must answer on the question paper. No additional materials are needed. INSTRUCTIONS ● Answer all questions. ● Use a black or dark blue pen. ● Write your name, centre number and candidate number in the boxes at the top of the page. ● Write your answer to each question in the space provided. ● Do not use an erasable pen or correction fluid. ● Do not write on any bar codes. ● You may use a calculator. ● Show your working. Where a final answer is incorrect or missing, you may still be awarded marks for correct steps towards a solution. In some questions, if you do not show your working, full marks will not be awarded. INFORMATION ● The total mark for this paper is 50. ● The number of marks for each question or part question is shown in brackets [ ]. ,










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2 9694/11/O/N/25 © UCLES 2025 1 In the city centre car park that I use regularly there is no charge for the first 30 minutes. After 30 minutes the charge is 50¢ for every 15 minutes or part of 15 minutes. The time of each car’s arrival is recorded and the charge is calculated when the car reaches the exit. (a) What is the longest time from arrival to the exit for which a driver would be charged $10? [1] … … … … Yesterday I entered the car park at 14:08 and I reached the exit at 16:44. (b) How much did I have to pay? [2] … … … … … … … … * 0000800000002 * ,










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3 9694/11/O/N/25 © UCLES 2025 [Turn over 2 There is a set of traffic lights at a pedestrian crossing on a road. Pressing the button to cross triggers a 60 second wait, followed by 30 seconds during which the traffic lights are red and people may cross the road. The time between the traffic lights turning green and then turning back to red is at least 120 seconds. A large party of schoolchildren needs to cross the road. They will cross in five groups. Only one of these groups can cross the road during each 30-second crossing period. What is the shortest possible time between the party first pressing the button and the final group of children beginning to cross the road? [2] … … … … … … … … … … * 0000800000003 * ,










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4 9694/11/O/N/25 © UCLES 2025 3 The Antlers, the Jets, the Koolers and the Rustlers played each other once in the Invincible Cup. The winner of a match received 3 points and the loser received no points. If a match was drawn, each team received 1 point. After all matches had been played, the winners of the Invincible Cup were the Rustlers, with 5 points. The Koolers had the fewest points. Only one match was won in the whole tournament. How many points did the Koolers have? [2] … … … … … … … … 4 There are five apartments in our building, and each one has one allocated parking space. The original plans show them numbered 1, 2, 3, 4, 5 but they are now 5, 1, 4, 3, 2 as a result of pairs of people swapping their spaces. (a) What shows there must have been more than two swaps? [1] … … … … (b) Give an example of how the numbers could have been swapped using three swaps. [1] … … … … … … … * 0000800000004 * ,










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5 9694/11/O/N/25 © UCLES 2025 [Turn over 5 James likes to play tennis at the local tennis centre. Tennis courts can be booked for 1-hour sessions. It costs $5 per hour to book a court, but it is also possible to buy a membership of the tennis centre. Membership costs $40 per month, but members pay only $3 per hour to book a court. James plays tennis for the same number of hours every month. He considered buying a membership, but worked out that a membership would not save him any money. (a) What is the largest number of hours per month that James might use the tennis centre? [2] … … … … … The managers of the tennis centre have announced that they are changing the prices. Non-members will now have to pay $6 per hour to book a court. Membership will now cost $45, but members will still pay only $3 per hour to book a court. James will continue to play tennis for the same number of hours every month. He has now worked out that a membership will save him some money. (b) What is the smallest number of hours per month that James might use the tennis centre? [1] … … … … … * 0000800000005 * ,










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6 9694/11/O/N/25 © UCLES 2025 6 Sheila has an old calculator that shows digits on a seven-segment display. All seven segments show up to make the digit 8; fewer segments show up to make the other digits. The digits as she should see them are as follows: The battery in Sheila’s calculator is getting low, and the segments in the display are beginning to fail to show up. (a) List all the digits that the display below could be from. [1] … … … (b) As the battery fails, and segments begin to fail, Sheila notices an 8 turn into another digit, then another, before ending up as a 1. (i) Which digits could not be either of the intermediate ones? [1] … … (ii) List all the sequences Sheila could have seen. [3] … … … … … … … … * 0000800000006 * ,










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7 9694/11/O/N/25 © UCLES 2025 [Turn over 7 Denise buys eggs to make breakfast at her guest house. She knows that she will need to buy between 1 and 6 boxes of eggs per week. She buys the eggs for the whole week on Sundays. Eggs can be used only for one week after being bought. At her local market, there are three egg-sellers, who sell boxes of eggs for $6 each. Each seller has a different offer: A Buy one box, get one half price B Three boxes for the price of two C $1 off each additional box: $6 for the first, $5 for the second etc., up to a maximum of six boxes. The first three weeks, Denise needs 5, 2 and 3 boxes of eggs respectively. (a) Which seller should she go to in each of these three weeks? [2] … … … … … … After the first three weeks, all of the sellers decide that the offers will apply only if a customer buys all their eggs from them every week. Denise must now decide which seller to use for all future egg purchases, which will be equally likely to be of 1, 2, 3, 4, 5 or 6 boxes. (b) Over a long period of egg-buying, which seller’s offer would give Denise the lowest cost? [2] … … … … … … … … * 0000800000007 * ,










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8 9694/11/O/N/25 © UCLES 2025 8 The Watersports Centre is open from 9:00 to 18:00 every day of the week. The centre offers sessions in canoeing, diving, swimming and windsurfing. Details about these sessions are given in the table. Any visitor must allow at least 5 minutes between any two activities. Activity Days available Start times of sessions Length of session Cost per person per session Canoeing Monday, Wednesday, Friday, Saturday 15 and 45 minutes past each hour 30 minutes $12 Diving Monday, Tuesday, Wednesday, Friday On the hour 40 minutes $15 Swimming Every day 30 minutes past each hour 45 minutes $21 Windsurfing Friday, Saturday, Sunday 10 minutes past each hour 50 minutes $25 (a) How many swimming sessions are there each day? [1] … … A maximum of 10 people can take part in any session. (b) What is the maximum possible income from the diving sessions in a week? [1] … … … … Grace took part in some canoeing and windsurfing sessions recently. The total cost of these sessions was $307. (c) How many canoeing sessions and how many windsurfing sessions did Grace take part in? [2] … … … … … … … * 0000800000008 * ,










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9 9694/11/O/N/25 © UCLES 2025 [Turn over Jacob visits the centre on Mondays and takes part in a session in as many different activities as possible. He starts his first session at 10:00. (d) What is the earliest time that Jacob could finish his sessions on Mondays? [1] … … … … … … … … Luke will visit the centre on Fridays and will take part in a session in each of the four available activities. He wants to do canoeing first and swimming last. He will arrive at the centre in time to take part in the 10:15 canoeing session. (e) What is the least amount of time that Luke will need to be at the Watersports Centre? [2] … … … … … … … … … … … … … … … * 0000800000009 * ,










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10 9694/11/O/N/25 © UCLES 2025 9 One of the events in today’s Fun Day at Bluebell Common is the 5-kilometre ‘puzzle run’, which has 16 runners competing this year. The runners start, one at a time, at 6-minute intervals and at the end of each of the first four kilometres there is a ‘puzzle station’, where they are presented with a puzzle to solve. Each puzzle has a time limit of 4 minutes. The first runner started 52 minutes ago, at 14:00, and the first three runners have already finished. (a) (i) At what time will the last runner start? [1] … … … … … … (ii) How many runners have started but not yet finished? [1] … … … … Runners score 120 points for each puzzle successfully solved and 1 point for every second that their total time (including the time spent attempting the puzzles) is less than 50 minutes. No runner can leave a puzzle station until they have solved the puzzle or until the 4-minute time limit is reached. Cynthia was the first runner to finish today, 42 minutes 17 seconds after she started. She solved the fourth puzzle in 2 minutes 14 seconds, but she failed to solve any of the other three. (b) (i) How many points has Cynthia scored? [2] … … … … … … * 0000800000010 * ,










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11 9694/11/O/N/25 © UCLES 2025 [Turn over (ii) What was the total time taken by Cynthia to run the five 1-kilometre sections? [1] … … … … … … … … * 0000800000011 * ,









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12 9694/11/O/N/25 © UCLES 2025 10 A quiz is held every Saturday night. Each team participating must have five members. In every round the team chooses one member to answer 10 questions. The first five correct answers score 2 points each. Any further correct answers score 3 points each. Whenever a question is answered incorrectly, the other members of the team are asked for another answer. If they are correct then 1 point is scored. There are 5 rounds in the quiz and each team member must be chosen to answer in one of the rounds. (a) What is the maximum score that a team can achieve in the quiz? [1] … … … (b) In the first round of the quiz one team scored 14 points. List the possible ways in which this number of points could have been scored. [2] … … … … … … … … (c) What is the highest score for one round that can be achieved in two different ways? State the two ways in which it is achieved. [2] … … … … … … * 0000800000012 * ,









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13 9694/11/O/N/25 © UCLES 2025 [Turn over 11 Jill and Mimi both have devices which count the number of steps that they walk in a day. On 1 January, Jill will walk 4000 steps. On each subsequent day she will walk 200 more steps than on the previous day. Mimi will also count the number of steps that she walks in a day, but she will begin on 6 January by walking 3000 steps. On each subsequent day she will walk 500 more steps than on the previous day. (a) (i) How many steps will Jill have walked in total before Mimi begins her walking? [1] … … … … (ii) On what date will Mimi first walk more steps in a day than Jill does? [1] … … … … … … Jill decides to change her routine in February. On 1 February she will walk 5000 steps. On 2 February she will walk 5000 steps and then a certain number of ‘bonus’ steps. On subsequent days she will walk the same total number of steps as on the previous day and then the same number of ‘bonus’ steps as she did on 2 February. Jill walks 77 000 steps during the first ten days of February. (b) What was the ‘bonus’ number of steps that she walked each day? [3] … … … … … … * 0000800000013 * ,









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14 9694/11/O/N/25 © UCLES 2025 12 One reason that it is hard to proof-read documents is that it is easy to read what is expected rather than what is written. It has been found that many people can read scrambled text without any difficulty, so long as the first and the last letters of each word are correctly placed and all of the letters are included. It works in many languages. For example, Shakespeare’s A rose by any other name would smell as sweet A rose by any ohter nmae would sleml as sewet How many different ways are there to write this quotation with at least one such error? [3] … … … … … … * 0000800000014 * ,









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15 9694/11/O/N/25 © UCLES 2025 13 In Round 1 of a competition, Jeremy wrote down the scores for 6 contestants, but he accidentally reversed the digits in one of them: 25, 36, 51, 24, 32, 12 The average (mean) of the scores should have been 24. (a) Which score did Jeremy accidentally reverse? [2] … … … … … In Round 2 of the competition, Jeremy wrote down the scores for the 6 contestants, but again he accidentally reversed the digits in one of them: 14, 25, 53, 32, 21, 17 The average (mean) of these numbers is a whole number, and the average (mean) of the correct scores should also have been a whole number. (b) Which two scores might Jeremy have accidentally reversed? [1] … … … … In Round 3 of the competition, Jeremy wrote down the times (in seconds) for the 6 contestants, but this time he accidentally placed one of the decimal points in the wrong position in the number. He did not reverse any digits this time. 1.65, 24.7, 13.5, 2.51, 31.2, 15.3 The average (mean) of the times should have been 18.575 seconds. (c) Which time has the decimal point in the wrong position in the number? [1] … … … … * 0000800000015 * ,









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16 9694/11/O/N/25 © UCLES 2025 Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. BLANK PAGE * 0000800000016 * ,









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This document consists of 8 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge International AS & A Level THINKING SKILLS 9694/11 Paper 1 Problem Solving October/November 2025 MARK SCHEME Maximum Mark: 50 Published This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for Teachers. Cambridge International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the October/November 2025 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 2 of 8 Generic Marking Principles These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptions for a question. Each question paper and mark scheme will also comply with these marking principles. GENERIC MARKING PRINCIPLE 1: Marks must be awarded in line with: • the specific content of the mark scheme or the generic level descriptors for the question • the specific skills defined in the mark scheme or in the generic level descriptors for the question • the standard of response required by a candidate as exemplified by the standardisation scripts. GENERIC MARKING PRINCIPLE 2: Marks awarded are always whole marks (not half marks, or other fractions). GENERIC MARKING PRINCIPLE 3: Marks must be awarded positively: • marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate • marks are awarded when candidates clearly demonstrate what they know and can do • marks are not deducted for errors • marks are not deducted for omissions • answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be unambiguous. GENERIC MARKING PRINCIPLE 4: Rules must be applied consistently, e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors. GENERIC MARKING PRINCIPLE 5: Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen). GENERIC MARKING PRINCIPLE 6: Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in mind.

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 3 of 8 Annotations guidance for centres Examiners use a system of annotations as a shorthand for communicating their marking decisions to one another. Examiners are trained during the standardisation process on how and when to use annotations. The purpose of annotations is to inform the standardisation and monitoring processes and guide the supervising examiners when they are checking the work of examiners within their team. The meaning of annotations and how they are used is specific to each component and is understood by all examiners who mark the component. We publish annotations in our mark schemes to help centres understand the annotations they may see on copies of scripts. Note that there may not be a direct correlation between the number of annotations on a script and the mark awarded. Similarly, the use of an annotation may not be an indication of the quality of the response. The annotations listed below were available to examiners marking this component in this series. Annotations Annotation Meaning Correct item Incorrect item Individual mark of partial credit Double mark of partial credit Essential element of answer/working missing Judged to be not good enough to earn the relevant credit Benefit of doubt Correct follow through Transcription error Special case Working seen but no credit awarded; blank page checked Highlighter Use anywhere it is helpful to clarify the marking

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 4 of 8 NOTES FOR MARKERS Working Where a final answer is underlined in the mark scheme, full marks are awarded for a correct answer, regardless of whether there is any supporting working, unless an exception is noted in the mark scheme. For partial credit, the evidence needed to award the mark will usually be shown on its own line in the mark scheme, or else will be defined in italic text. For explanations and verbal justifications, apply the principle of ‘words to that effect’. Units Unless required by the question or mark scheme, units such as $ do not need to be seen to award the marks. No response If there is any attempt at a solution award 0 marks not NR. ‘–’ or ‘?’ constitute no attempt at a solution. Abbreviations The following abbreviations may be used in a mark scheme: AG answer given (on question paper) awrt answer which rounds to dep mark depends on earlier, asterisked (*), mark ft follow through (from earlier error) oe or equivalent SC special case soi seen or implied

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 5 of 8 Question Answer Marks 1(a) 5h 30m 1 1(b) (Time in car park =) 2h 36m (156m) OR (time charged =) 2h 6m (126m) [1] Charge = 9  50¢ = $4.50 SC: 1 mark for answer $5.50 (charge including the first 30 minutes) 2 Question Answer Marks 2 Each cycle from start of red light to start of the next red is 150 seconds [1] There will be a wait of 60 seconds, followed by four of the above cycles, for 60 + 150 + 150 + 150 + 150 = 660 seconds (11 minutes) SC: 1 mark for final answer of 600 OR 690 (seconds) 2 Question Answer Marks 3 Rustlers 5 points: 1 win and 2 draws [1] Other outcomes are DDD, DDD, LDD The Koolers scored 2 points 2 Question Answer Marks 4(a) One swap moves only 2 places, and more than 4 have changed 1 4(b) (3,4) and exactly two of (5,1) (1,2) (2,5) OR Complete sequence, e.g. 12345 – 21345 – 51342 – 51432 1 Question Answer Marks 5(a) Membership saves $2 per hour of tennis [1] $40 / 2 = 20 hours OR 5x = 40 + 3x [1] x = 20 SC: 1 mark for answer 19 2 5(b) 16 1

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 6 of 8 Question Answer Marks 6(a) 0,2,3,8,9 1 6(b)(i) 2,5,6 1 6(b)(ii) 8→9→7→1 8→9→4→1 8→9→3→1 8→3→7→1 8→0→7→1 Award marks as follows: Number of answers given Number correct SC: 1 mark for 8→9→3→7→1 and no others 1 2 3 4 5 6 7 8 9+ 1 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 3 2 1 1 0 0 0 0 4 2 2 1 1 0 0 5 3 2 2 1 0 3 Question Answer Marks 7(a) C A B Award 1 mark for any one of: In week 1, C is best at $20 In week 2, A is best at $9 In week 3, B is best at $12 SC: 1 mark for A $48, B $48, C $46 2 7(b) Comparison of correct values for all 3 sellers for all 6 weeks so C Award 1 mark for any one of: For A, the six-week costs are $6, $9, $15, $18, $24, $27 For B, the six-week costs are $6, $12, $12, $18, $24, $24 For C, the six-week costs are $6, $11, $15, $18, $20, $21 2

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 7 of 8 Question Answer Marks 8(a) First session at 9:30 and last session at 16:30, so total number of sessions is 8 1 8(b) Maximum income = 9  4  10  $15 = $5400 1 8(c) 11 canoeing, 7 windsurfing 1 mark for any two correct sums of multiples of 12 and 25 OR for two correct subtractions from 307 of a multiple of 12 or 25 and verifying whether the remainder is a multiple of the other 2 8(d) Diving 10:00 to 10:40, Canoeing 10:45 to 11:15, Swimming 11:30 to 12:15 1 8(e) Correct start times for CDWS (10:15, 11:00, 12:10, 13:30) or CWDS (10:15, 11:10, 13:00, 14:30) [1] (Last session ends at 14:15 or 15:15 Time at centre: 10:15 to 14:15, so) 4 hours [1] 2 Question Answer Marks 9(a)(i) 15:30 1 9(a)(ii) 6 SC: 1 mark for 5 only if answer of 15:36 in (i) 1 9(b)(i) She completed the course in 7m 43s / 463s [1] less than 50 minutes so 463 + 120 = 583 points 2 9(b)(ii) 14m 14s puzzle time so 28m 3s running time 1 Question Answer Marks 10(a) Maximum score in one round is 5  2 + 5  3 = 25 points 125 1 10(b) 6 correct answers and 1 of the others answered correctly by other team members. (5  2 + 1  3 + 1  1) 5 correct answers and 4 of the others answered correctly by other team members. (5  2 + 4  1) 4 correct answers and 6 of the others answered correctly by other team members. (4  2 + 6  1) 2 marks for all correct and no others 1 mark for any one correct 2

9694/11 Cambridge International AS & A Level – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 8 of 8 Question Answer Marks 10(c) 19 [1] 7 correct by chosen team member and 3 correct by others AND 8 correct by chosen team member and 0 other correct [1] 2 Question Answer Marks 11(a)(i) 22 000 steps 1 11(a)(ii) 13 January 1 11(b) In 10 days she will walk 50 000 ‘standard’ steps [1] Plus (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) lots of bonus steps [1] (77 000 – 50 000)/45 = 600 3 Question Answer Marks 12 a rose by any ohter nmae would sleml as sewet 2 6 2 6 6 3 ways to write Award 1 mark for correct numbers/lists of possibilities for four of the words 2  6  2  6  6  3 [1] (= 2592) 2591 SC: 2 marks for final answer of 5182 or 5183 SC: 1 mark for final answer of 5184 3 Question Answer Marks 13(a) The sum of the recorded numbers is 180, when it should be 144. Difference between wrong number and correct number must be 36 [1] 15 or 51 2 13(b) 35 and 71 or 53 and 17 1 13(c) 2.51 (should be 25.1) 1