DM Slides - 26 July

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. B. Today, Sally went on the roundabout. Yes 301

Logical PuzzlesConditional ScenariosKhush and Sally are talking about what they do in the park. Sally tells Khush:- When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout.- When I don’t go on the swings, I don’t feel euphoria.- Today, I am euphoric- When I go on the slide, I go on the monkey bars.Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not.A. Today, Sally is not on the swings. 302B. Today, Sally went on the roundabout.C. When Sally goes on the swings, she is euphoricD. If Sally is not on the monkey bars, she is not euphoric.E. If Sally is not on the monkey bars, she has not been on the slide.

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. C. When Sally goes on the swings, she is euphoric 303

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. C. When Sally goes on the swings, she is euphoric When she doesn’t go on the swings she doesn’t feel euphoria. This means that when she does go on the swings sh does feel euphoria. The conclusion therefore does follow. 304

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. C. When Sally goes on the swings, she is euphoric Yes 305

Logical PuzzlesConditional ScenariosKhush and Sally are talking about what they do in the park. Sally tells Khush:- When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout.- When I don’t go on the swings, I don’t feel euphoria.- Today, I am euphoric- When I go on the slide, I go on the monkey bars.Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not.A. Today, Sally is not on the swings.B. Today, Sally went on the roundabout.C. When Sally goes on the swings, she is euphoricD. If Sally is not on the monkey bars, she is not euphoric. 306

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. D. If Sally is not on the monkey bars, she is not euphoric. 307

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. D. If Sally is not on the monkey bars, she is not euphoric. 308

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. D. If Sally is not on the monkey bars, she is not euphoric. 309

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. E. If Sally is not on the monkey bars, she has not been on the slide. 310

Logical PuzzlesConditional ScenariosKhush and Sally are talking about what they do in the park. Sally tells Khush:- When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout.- When I don’t go on the swings, I don’t feel euphoria.- Today, I am euphoric- When I go on the slide, I go on the monkey bars.Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not.E. If Sally is not on the monkey bars, she has not been on the slide.When she goes on the slides she goes on the monkey bars. It can therefore be interpreted that she onlygoes on the monkey bars when she goes on the slide. This logic can be reversed in that Sally will not go onthe monkey bars if she has not been on the slide. 311

Logical PuzzlesConditional Scenarios Khush and Sally are talking about what they do in the park. Sally tells Khush: - When I go on the swings, I go on the roundabout. If I don’t go on the swings, I don’t go on the roundabout. - When I don’t go on the swings, I don’t feel euphoria. - Today, I am euphoric - When I go on the slide, I go on the monkey bars. When I don’t go on the slide I don’t go on monkey bars. Place ‘Yes’ if the conclusion follows, place ‘No’ if the conclusion does not. E. If Sally is not on the monkey bars, she has not been on the slide. Yes 312

Interpreting Information - Introduction Lesson 14 313

Interpreting InformationKey Facts• Here you will be given information in the form of graphs, charts or written passages. You will be required to read this information and interpret it in a manner which enables you to decide which conclusions best follow.• There could be multiple correct answers to these questions.• You will be presented with a great deal of information. The best thing to do is decide which of the information is relevant which will enable you to save time.• You will not be asked to calculate certain values exactly, so rounding and estimating can be usefultools to use which can help save you time and still gain the correct answer. 314

Interpreting InformationKey Facts • Do not use external knowledge - Do not assess how strong a conclusion is based on how likely it is. • You are not expected to understand everything that is presented to you. Try and pick the necessary information and go from there. • Often it would require external knowledge, and they are testing your ability to recognise this. They can also have more than one correct answer. 315

Interpreting InformationTypes of Question - Graphs 316

Interpreting InformationTypes of Question - Other 317

Interpreting Information Graphs I Lesson 15 318

Interpreting InformationType 1 - Interpreting Scatter Graph Troopinder This grid shows us the Maths and English scores of five pupils at school. The size of the dot indicates their IQ.5 Robbie 4 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not DT follow.English Mohammed a) Claude’s overall academic performance is hardest to diagnose 3 b) It is likely that DT has the highest attendance at school. Claude c) It is plausible that DT spends more time revising for Maths and English 1 exams than Mohammed does. d) Troopinder has greater potential in a Mathematically-orientated career0 than an English-orientated career 036 9 12 e) Robbie is better at comprehension than Mohammed. Maths 319

Interpreting InformationType 1 - Interpreting Scatter Graph Troopinder This grid shows us the Maths and English scores of five pupils at school. The size of the dot indicates their IQ.5 Robbie 4 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not DT follow.English Mohammed a) Claude’s overall academic performance is hardest to diagnose 3 b) It is likely that DT has the highest attendance at school. Claude c) It is plausible that DT spends more time revising for Maths and 1 English exams than Mohammed does. d) Troopinder has greater potential in a Mathematically-orientated0 career than an English-orientated career 036 9 12 e) Robbie is better at comprehension than Mohammed. Maths 320

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 a) Claude’s overall academic performance is hardest to diagnose 1 Mohammed Claude0 321 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 a) Claude’s overall academic performance is hardest to diagnose 1 Mohammed Claude0 322 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 b) It is likely that DT has the highest attendance at school 1 Mohammed Claude0 323 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 b) It is likely that DT has the highest attendance at school 1 Mohammed Claude0 324 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 c) It is plausible that DT spends more time revising for Maths and English exams than Mohammed does. 1 Mohammed Claude0 325 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 c) It is plausible that DT spends more time revising for Maths and English exams than Mohammed does. 1 Mohammed Claude0 326 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 d) Troopinder has greater potential in a Mathematically-orientated career than an English-orientated career 1 Mohammed Claude0 327 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 d) Troopinder has greater potential in a Mathematically- orientated career than an English-orientated career 1 Mohammed Claude0 328 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 e) Robbie is better at comprehension than Mohammed. 1 Mohammed Claude0 329 0 3 6 9 12 Maths

Interpreting InformationType 1 - Interpreting Scatter Graph Robbie Troopinder5 Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion 4 does not follow.English DT 3 e) Robbie is better at comprehension than Mohammed. 1 Mohammed Claude0 330 0 3 6 9 12 Maths

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? A. More people stayed for less than 20 minutes in the science museum than they did for the mathematics museum B. The science museum had a greater number of visitors per day. C. If the two museums had the same number of visitors, the number of minutes spent in total by all the tourists would be equal. D. More people stayed for more than 30 minutes in the science museum than they did for the mathematics museum.

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? A. More people stayed for less than 20 minutes in the science museum than they did for the mathematics museum B. The science museum had a greater number of visitors per day. C. If the two museums had the same number of visitors, the number of minutes spent in total by all the tourists would be equal. D. More people stayed for more than 30 minutes in the science museum than they did for the mathematics museum.

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? A. More people stayed for less than 20 minutes in the science museum than they did for the mathematics museum Science 9% + 24% = 33%. 0.33 x 1300 = 429 (to save time you could estimate it to be 0.3 x 1200 = 400) Maths 19% + 27 % = 46%. 0.46 x 1050 = 483 (to save time you could estimate it to be 0.5 x 1000 = 500)

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? B. The science museum had a greater number of visitors per day.

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? C. If the two museums had the same number of visitors, the number of minutes spent in total by all the tourists would be equal.

Interpreting InformationType 2 - Interpreting Pie Chart Read the following information. It is displaying the length of time customers visit in two separate museums Which of the following is correct? D. More people stayed for more than 30 minutes in the science museum than they did for the mathematics museum. Science 14 + 15 + 20 = 49% 0.49 x 1300 = 637 (estimate it to be 0.5 x 1300 = 650) Mathematics 15 + 16 + 27 = 58% 0.58 x 1050 = 609 (estimate it to be 0.6 x 1000 = 600)

Interpreting Information Graphs II Lesson 16 337

Interpreting InformationType 3 - Interpreting Line Chart The following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Manchester had a bigger range in rainfall than Bristol did b) It is likely that Manchester had a higher temperature in July than Bristol did. c) Manchester had greater rainfall overall in the months displayed than Bristol did. d) August would have had a similar pattern as seen in July

Interpreting InformationType 3 - Interpreting Line Chart The following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Manchester had a bigger range in rainfall than Bristol did b) It is likely that Manchester had a higher temperature in July than Bristol did. c) Manchester had greater rainfall overall in the months displayed than Bristol did. d) August would have had a similar pattern as seen in July

Interpreting InformationType 3 - Interpreting Line ChartThe following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Manchester had a bigger range in rainfall than Bristol did Quick Method: Look at gap between largest value and smallest value for Manchester and Bristol. Maths Method: Manchester 96 - 33 = 63 Bristol 58 - 22 = 36

Interpreting InformationType 3 - Interpreting Line Chart The following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. b) It is likely that Manchester had a higher temperature in July than Bristol did. Insufficient information

Interpreting InformationType 3 - Interpreting Line Chart The following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. c) Manchester had greater rainfall overall in the months displayed than Bristol did. Manchester 33 + 37 + 53 + 96 = 219 Bristol 22 + 43 + 70 + 58 = 193

Interpreting InformationType 3 - Interpreting Line Chart The following graph shows rainfall in the months of April - July in Manchester and Bristol. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. d) August would have had a similar pattern as seen in July Insufficient information

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Conservatives were the most popular party in the UK b) It is likely that 17 year olds in this group of people would vote Conservative based on evidence from the 18-25 category. c) In this sampled group, Labour was more popular for those over 36 than Conservative was. d) The proportional difference in voting between Labour and Conservative in this sample was larger in the 46+ group than in the 18-25 group. e) More people in North London voted for Conservative than they did for Labour

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Conservatives were the most popular party in the UK b) It is likely that 17 year olds in this group of people would vote Conservative based on evidence from the 18-25 category. c) In this sampled group, Labour was more popular for those over 36 than Conservative was. d) The proportional difference in voting between Labour and Conservative in this sample was larger in the 46+ group than in the 18-25 group. e) More people in North London voted for Conservative than they did for Labour

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Conservatives were the most popular party in the UK

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. a) Conservatives were the most popular party in the UK Insufficient information

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. b) It is likely that 17 year olds in this group of people would vote Conservative based on evidence from the 18-25 category.

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. b) It is likely that 17 year olds in this group of people would vote Conservative based on evidence from the 18-25 category. Insufficient information

Interpreting InformationType 4 - Interpreting Bar Chart This graph shows the voting selections of a group of people sampled in North London following the 2017 election. Place ‘Yes’ if the conclusion follows. Place ‘No’ if the conclusion does not follow. c) In this sampled group, Labour was more popular for those over 36 than Conservative was.