Cambridge A Level Thinking Skills 9694 — 2016 Oct/Nov Paper 1 · Variant 3

This document consists of 19 printed pages and 1 blank page. IB16 11_9694_13/2RP © UCLES 2016 [Turn over *5738337866* Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level THINKING SKILLS 9694/13 Paper 1 Problem Solving October/November 2016 1 hour 45 minutes Additional Materials: Multiple Choice Answer Sheet Soft clean eraser Soft pencil (type B or HB is recommended) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. There are 30 questions on this paper. Answer all the questions. For each question there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in pencil on the separate answer sheet. Read very carefully the instructions on the answer sheet. Ignore responses numbered 31 – 40 on the answer sheet. DO NOT WRITE IN ANY BARCODES. INFORMATION FOR CANDIDATES Each correct answer will score one mark. A mark will not be deducted for a wrong answer.

2 © UCLES 2016 9694/13/O/N/16 1 There were three candidates for the post of President of Birkfield Golf Club in this year’s election. Each club member was entitled to cast up to five votes in the election. He/she could give all five votes to one candidate or divide them between two or all three of them, but was not obliged to use all five of his/her votes. The results of the election were as follows: George Dale 287 votes Anne Muir 232 votes Andrew Lake 63 votes Which one of the following statements about the election must be true? A At least fifteen members voted for Andrew Lake B More members voted for George Dale than for Anne Muir C Not all members who voted used all five of their votes D Some members voted for all three candidates 2 In Bolandia, either both people shaking hands wear gloves or neither does. Some people insist upon wearing gloves if they are going to shake hands, some will not shake hands if wearing gloves, and everyone else does not care, but will put them on or take them off as needed. Angus observed some of the handshakes between six people at a reception and recorded the results. William Lucinda Richard Teddy Alfred Morag 8 8 8 William 9 9 Lucinda 8 9 Richard 9 9 Teddy Key: 9 with gloves 8 without gloves (blank) handshake not seen For how many of these people can Angus be sure that they do not care whether or not they wear gloves? A 1 B 2 C 3 D 4

3 © UCLES 2016 9694/13/O/N/16 [Turn over 3 The data below shows the annual energy consumption of kitchen appliances in a typical house. Appliance Usage Consumption Cost per year kg CO2 per year kWh per year Electric Hob 424 uses per year 0.71 kWh per use $30.10 129 301.00 Electric Oven 135 uses per year 1.56 kWh per use $21.08 91 210.60 Fridge-Freezer 24 hours a day 206 kWh per year $20.60 89 206.00 Kettle 1542 uses per year 0.11 kWh per use $16.90 73 169.00 Washing Machine 187 washes per year 0.63 kWh per wash $11.78 51 117.80 Dishwasher 110 uses per year 1.07 kWh per use $11.77 51 117.70 Microwave Oven 96 times per year 0.95 kWh per use $9.07 39 91.20 The pie chart illustrates the data for kWh per year but, unfortunately, there is no key and one appliance has been missed off the chart. Which appliance has been missed? A Electric hob B Electric oven C Kettle D Microwave oven

4 © UCLES 2016 9694/13/O/N/16 4 I have a 250 litre water butt in my garden which collects rainwater from the roof. It was full 15 days ago, but there has been no rain since then. The water from the butt is used to feed a water feature which uses 10 litres a day, but I turned that off 5 days ago. I have also used it every day to water plants in my garden. The water butt has just run dry as I finished watering for today. How much water do I use on average each day to water my plants? A 3 2 6 litres B 2 1 7 litres C 10 litres D 15 litres 5 Kevin has five pieces of work that he needs to do at the weekend. The pieces of work require 25 minutes, 50 minutes, 75 minutes, 95 minutes and 110 minutes to complete. Kevin is able to spend up to 3 hours working on Saturday and wants to spend as little time as possible completing the remaining work on Sunday. However, he will only start a piece of work if he has time to finish it. How long will Kevin need to spend on the work on Sunday? A 170 minutes B 175 minutes C 180 minutes D 185 minutes 6 Peter Kent is to be Heroville’s new Mayor. The votes cast for the three candidates in last week’s mayoral election were as follows. Peter Kent 21 608 Diana Danvers 10 786 Bruce Rogers 3595 Which of the following pie charts best illustrates the results of the voting in last week’s election? A B C D Kent Kent Kent Kent Danvers Danvers Danvers Danvers Rogers Rogers Rogers Rogers

5 © UCLES 2016 9694/13/O/N/16 [Turn over 7 This is a plan of a recently-excavated ancient building, which an archaeologist drew on a sheet of transparent plastic. The diagram shows the sheet of plastic face upwards. The arrow indicates the direction of north. A student picked up the sheet of plastic, which was lying as shown here. N She then laid it face downwards, so that the ‘N’ arrow was still pointing to the right, and then rotated the sheet of plastic 90 degrees clockwise. Which one of these plans correctly represents what the student saw when she had performed the actions listed above? N N N N A B C D

6 © UCLES 2016 9694/13/O/N/16 8 David is buying a new car and trading in his old one. He visits three garages who make him the following offers: Hilltop Garage new car is $11 100, ⅓ discount for trading in his old car Valley Garage new car is $12 000, 40% off for trading in his old car Meadow Garage new car is $300 per month for 3 years, with $3400 cashback for trading in his old car Which offer gives the lowest cost for the new car? A Hilltop Garage B Valley Garage C Meadow Garage D Hilltop Garage and Meadow Garage are both lowest

7 © UCLES 2016 9694/13/O/N/16 [Turn over 9 Qaylah’s father wants to encourage her to read books during her school holiday, so he decides that he will give her $1 every time she finishes reading a book. Qaylah sketched a graph showing the total amount of money she had accumulated by each day during the holiday. Amount of money earned Time Which one of the graphs below could represent the number of books she read per day during the same time period? Number of books per day Time B Number of books per day Time A Number of books per day Time D Number of books per day Time C

8 © UCLES 2016 9694/13/O/N/16 10 At 15:00 Andy leaves Alphaville. He drives due west at a constant speed of 60 km/h. At 15:00 Brian is 90 km due south of Alphaville and drives at a constant speed of 30 km/h towards the town. At what time will Andy and Brian be exactly the same distance from Alphaville? A 15:45 B 16:00 C 16:30 D 18:00 11 1 litre of ‘Orange Burst’ paint is made by mixing red and yellow paint in the ratio 2 : 3. The person mixing the paint mistakenly reverses the ratio of red to yellow. The mistake can be rectified by adding an amount of yellow paint. How much yellow paint must be added to the 1 litre mixture to obtain the correct colour for ‘Orange Burst’ paint? A 0.4 litres B 0.5 litres C 0.6 litres D 0.9 litres

9 © UCLES 2016 9694/13/O/N/16 [Turn over 12 At the end of every month, the local school sends out letters of congratulation to the families of the 20 students who have made the most progress that month. The best 5 students also receive a prize which has to be posted separately. The letters of congratulation are posted using first class mail, which costs 25¢ each. The prizes are posted as parcels, which cost 60¢ each. Next month, the postage fees will be increased, in each case by a whole number of cents. It has been decided that only 4 prizes will be sent out in the future, but there will still be 20 letters. This means that the total cost of sending letters and prizes remains the same. Which of the following increases in prices would explain this? A The price of a letter increases by 2¢ and the price of a parcel increases by 4¢ B The price of a letter increases by 2¢ and the price of a parcel increases by 5¢ C The price of a letter increases by 3¢ and the price of a parcel increases by 12¢ D The price of a letter increases by 3¢ and the price of a parcel increases by 15¢ 13 At a children’s party, Brenda, the winner of a game, was rewarded by being allowed to pick three bags from twelve bags all containing sweets. You could not tell merely from looking at the bags which bag contained any more sweets than any other. Brenda had to choose two bags of one colour and one of a different colour. She chose two yellow bags and one green bag. Before taking these bags, the actual number of sweets in the offered bags was as in the table below. Bag 1 Bag 2 Bag 3 Blue 3 4 6 Green 1 6 7 Red 4 7 8 Yellow 2 3 7 After Brenda had chosen her bags, Dave, the runner-up in the game, was given the opportunity to choose two bags of one colour and one of a different colour. Dave loves sweets and wanted to get as many as is possible. What was the worst possible outcome for Dave? A Dave got a total of 6 sweets B Dave got a total of 7 sweets C Dave got a total of 8 sweets D Dave got a total of 9 sweets

10 © UCLES 2016 9694/13/O/N/16 14 The diagram shows a solid cube and its reflection in a mirror. The bottom face of the cube is white. Which one of the following could be a view of the cube from another direction? A B C D

11 © UCLES 2016 9694/13/O/N/16 [Turn over 15 An experiment has been set up with an initial population of 50 male and 50 female rabbits. On average, female rabbits have four kittens per cycle: two male and two female. A disease is causing half of all female kittens to die at birth. Assuming that no other rabbits die during the experiment, which chart shows the expected total population over the next two cycles? 600 500 400 300 200 100 0 A Initial After cycle 1 After cycle 2 160 140 120 100 80 60 40 20 0 B Initial After cycle 1 After cycle 2 300 250 200 150 100 50 0 C Initial After cycle 1 After cycle 2 D Initial After cycle 1 After cycle 2 700 600 500 400 300 200 100 0

12 © UCLES 2016 9694/13/O/N/16 16 The Bounty is a sailing ship. On ocean voyages it has the crew divided into three ‘watches’, who take charge in rotation. They use a variant of the ‘Swedish system’, with five duty periods: midnight–04:00, 04:00–08:00, 08:00–13:00, 13:00–19:00, 19:00–midnight. Times are local times, and when the ship moves into a new time zone the change is always by one hour. The ship is not fast enough to have more than one time zone change in two days. What is the longest possible off-duty time? A 6 hours B 7 hours C 11 hours D 12 hours

13 © UCLES 2016 9694/13/O/N/16 [Turn over 17 The draw has been made for this year’s Middle-earth Cup, as follows: First Round Match 1 Harrowdale v Rushey Match 2 Nardol v Haysend Match 3 Upbourn v Bucklebury Match 4 Staddle v Esgaroth Match 5 Bree v Hobbiton Match 6 Tighfield v Bywater Match 7 Crickhollow v Underharrow Match 8 Rivendell v Little Delving Second Round Match 9 Overhill v Winner of Match 5 Match 10 Winner of Match 3 v Isengard Match 11 Stock v Winner of Match 1 Match 12 Winner of Match 6 v Edoras Match 13 Winner of Match 2 v Frogmorton Match 14 Tuckborough v Winner of Match 7 Match 15 Michel Delving v Winner of Match 4 Match 16 Winner of Match 8 v Budgeford Third Round Match 17 Winner of Match 15 v Winner of Match 12 Match 18 Winner of Match 11 v Winner of Match 9 Match 19 Winner of Match 16 v Winner of Match 13 Match 20 Winner of Match 10 v Winner of Match 14 Semi-Finals Match 21 Winner of Match 18 v Winner of Match 20 Match 22 Winner of Match 19 v Winner of Match 17 Final Match 23 Winner of Match 22 v Winner of Match 21 All matches (including the Final) are to be played at the home ground of the first-named team. Which team faces the prospect of having to play five matches all away from home in order to win this year’s Middle-earth Cup? A Esgaroth B Hobbiton C Rushey D Underharrow

14 © UCLES 2016 9694/13/O/N/16 18 A fund-raising scheme involves inviting people for coffee, and getting them each to pay $1 into the community fund. Donna’s decreasing plan involves inviting 5 people to the first coffee morning. Each of these 5 people then holds a coffee morning to which they each invite 4 other people. Those people then each invite 3 others to their own coffee mornings, and the process continues until there is only one person invited to each coffee morning in the last set. How much money would this raise for the community when the scheme has finished? A $15 B $120 C $205 D $325 19 The organisers of a conference, with delegates from Germany, China, France and Italy, wish to choose which country’s style of cooking should be used for the final grand banquet. The delegates were asked to rank the countries’ cuisine in order of preference. Perhaps surprisingly, all delegates from any particular country had identical preferences. The table below shows these. Country of origin Germany China France Italy Number of delegates 45 25 15 15 First preference German Chinese French Italian Second preference Chinese French Italian French Third preference French Italian Chinese Chinese Fourth preference Italian German German German Using these preferences the organisers decide to compare the cooking styles two at a time. Thus, for instance, they examine whether more delegates prefer German to Italian, or Italian to German; and they do this for every pair of styles. They decide that if one style is preferred to all others in these matches, then that style will be chosen for the banquet. Otherwise, the banquet’s menu will be determined by a lottery. What style of food will be served at the banquet? A Chinese B French C German D It will be determined by a lottery

15 © UCLES 2016 9694/13/O/N/16 [Turn over 20 The price for hiring a car is calculated by taking a fixed charge for the hire of the car and then adding an amount for each full hour that it is hired for. The amount charged for each hour can be reduced after a number of hours, but this can only happen once. The maximum length of time that a car can be hired for is 10 hours. The bar chart below shows the prices to hire a car with two different companies. 35 30 25 20 15 10 5 0 $ 1 2 3 4 5 6 7 8 9 10 Hours CarHire CarRent Which of the following statements about the rates is not true? A The fixed charge for CarRent is $10 more than the fixed charge for CarHire B For the first five hours, CarHire charges $3 per hour more than CarRent C For the hours after the first five, CarHire and CarRent charge the same amount D CarRent does not reduce the charge per hour 21 The combination lock on my bag has four wheels, each with the digits 0–9. I have just bumped it, and think that I turned some or all of the wheels and so have lost the combination. I am sure that no digit has changed by more than 2, up or down. I remember that each digit after the first was larger than the one to its immediate left. The digits showing now are 3 5 7 4. What is the maximum number of combinations I might need to try before I succeed in opening the lock? A 2 B 3 C 4 D 5

16 © UCLES 2016 9694/13/O/N/16 22 I can fit 68 DVD boxes of width 1 cm on the top shelf in my study with a gap left at the end of the shelf. I can fit 35 CD boxes on the bottom shelf in my study, with a gap left at the end that is 6 cm longer than the gap left on the top shelf. Which additional piece of information below would, by itself, enable me to calculate the length of the top shelf? A The difference between the lengths of the shelves B The length of the bottom shelf C The sum of the lengths of the two gaps D The width of one CD box 23 Mario works every day sewing cloth dolls. He finds the work boring and tiring. The first doll he makes each day takes him 9 minutes, the next 10 minutes, the next 11 minutes and so on. This week he made the same number of dolls on Monday and Tuesday. On Wednesday and Thursday, taken together, he made the same number of dolls as on Monday and Tuesday, taken together, but he made 6 more dolls on Wednesday than he did on Thursday. How much longer in total did Mario work on Wednesday and Thursday than he did on Monday and Tuesday? A 0 minutes B 3 minutes C 6 minutes D 9 minutes 24 Gemma is hosting a party for 12 children. She wants to give each child a bag of marbles containing 2 silver marbles and 10 blue marbles. A retailer, Ahmed, mixes together silver and blue marbles and sells them in jars. Each jar contains at least 28 and at most 30 marbles. Ahmed also makes sure that, of the marbles in each jar, at least 6 and at most 8 are silver. How many jars of marbles does Gemma need to buy to ensure she has enough for her party? A 4 B 5 C 6 D 7

17 © UCLES 2016 9694/13/O/N/16 [Turn over 25 Tandy went shopping for birthday presents and bought three items all costing an exact number of dollars. The total amount she spent was $14. Otherwise, all she could remember was that two of the prices added to equal the third. Which other piece of information would certainly be sufficient for her to determine what all three prices were? A The difference between two of the prices B The product of two of the prices C The sum of two of the prices D The price of the most expensive item 26 A solid cylinder falls vertically through a shed roof with a 45° slope. Which one of the following could not be the shape of the resulting hole in the shed roof? A B C D 27 100 candidates applied to join a company and were given two tests. Anybody who was in the top 24 in both tests was recruited. This gave fewer than 24 people. The recruiters then looked at the top 25, then the top 26 etc. until at least 24 people were in both top sections. All of these people were recruited. Josephine thinks she did well in one test and badly in the other, but she was recruited. What is the worst position she could possibly have been placed in one of the tests? A 48th B 52nd C 62nd D 76th

18 © UCLES 2016 9694/13/O/N/16 28 Derek lives in Ayton and Eric lives in Beeton. They decided to meet in Campton. The distance from Ayton to Campton is twice the distance from Beeton to Campton. Derek left Ayton and walked at a constant speed to Campton. Eric left Beeton at 12 noon and walked at a different constant speed to Campton. They arrived at Campton at the same time. Eric’s journey time is ⅔ of Derek’s journey time. Which one of the following pieces of information is sufficient to find Derek’s average walking speed from Ayton to Campton? A The distance from Ayton to Campton B The steady speed at which Eric walked C The time that Derek and Eric arrive in Campton D The time that Derek left Ayton 29 The results of the recent election were as shown in the table below. Blue Red Yellow Green Black 12 20 8 5 30 After the results were announced, a further 5 votes were found. Which of the following charts could not correctly show the results of the election when the extra 5 votes were included? A B C D Key Blue Red Yellow Green Black

19 © UCLES 2016 9694/13/O/N/16 30 Northbit and Southpart are villages on opposite banks of the River Tween. Every year teams from both villages take part in a tug-of-war across the river, until the losing team is pulled into the water. 25 years ago, Southpart had won exactly ¾ of the contests. However, following 16 wins in the last 25 years, Northbit have now increased their success rate to 40%. How many times have Northbit won the tug-of-war against Southpart? A 26 B 39 C 50 D 65

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® IGCSE is the registered trademark of Cambridge International Examinations. This document consists of 2 printed pages. © UCLES 2016 [Turn over Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level THINKING SKILLS 9694/13 Paper 1 Problem Solving October/November 2016 MARK SCHEME Maximum Mark: 30 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 will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the October/November 2016 series for most Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level components.

Page 2 Mark Scheme Syllabus Paper Cambridge International AS/A Level – October/November 2016 9694 13 © UCLES 2016 Question Number Key Question Number Key 1 C 16 D 2 C 17 D 3 C 18 D 4 C 19 A 5 D 20 A 6 C 21 D 7 C 22 C 8 B 23 D 9 C 24 C 10 B 25 B 11 B 26 B 12 B 27 C 13 C 28 B 14 D 29 B 15 C 30 A