Thinking Skills: Critical Thinking and Problem Solving

3.5 Finding methods of solution 95 In this diagram, the outer box represents all the students (the universal set); in this case ...

96 Unit 3 Problem solving: basic skills questions – that is, checking that we have the right answer. If ER takes 24 minutes (inc ...

3.5 Finding methods of solution 97 3 From my holiday cottage by the sea I can see two lighthouses. The southern flashes regul ...

98 Unit 3 Problem solving: basic skills 3.6 Solving problems by searching Some problems may not always be resolved by using dire ...

3.6 Solving problems by searching 99 method involves analysing the problem, which can be a very useful tool in reducing the size ...

100 Unit 3 Problem solving: basic skills Therefore, the minimum distance is 59 km. If you were particularly astute, you would ha ...

3.6 Solving problems by searching 101 If 5¢ and 20¢ coins are the same thickness, how many different heights of $1 pile could sh ...

102 Unit 3 Problem solving: basic skills An extension of this skill is to identify possible reasons for variation in data – once ...

3.7 Recognising patterns 103 Commentary This question is actually quite easy. It is only a matter of being careful and matching ...

104 Unit 3 Problem solving: basic skills This could, in fact, have been solved without going to percentages by looking at the re ...

3.7 Recognising patterns 105 played? (Hint: you first need to decide which games have already been played, so you know what is l ...

106 Unit 3 Problem solving: basic skills Commentary Looking at the statements in turn: A This statement explains the initial inc ...

3.8 Hypotheses, reasons, explanations and inference 107 So A and C are the explanations for the shape of the curve. The activity ...

108 Unit 3 Problem solving: basic skills B A rise in Danotian inflation would only cause the fall in the ratio shown if the rise ...

3.8 Hypotheses, reasons, explanations and inference 109 they leave Whitesea at 9.00 a.m., 9.20 a.m., 9.40 a.m., etc. They then l ...

110 Unit 3 Problem solving: basic skills at half the time shown in the graphs, patients have stopped taking it. Assuming that th ...

3.8 Hypotheses, reasons, explanations and inference 111 Which of the following is possible? A Liam works on Thursday. B Nadila w ...

112 Unit 3 Problem solving: basic skills Approximately what proportion of the two tiles will be needed to cover the whole floor? ...

3.9 Spatial reasoning 113 over and over again, filling any area without any gaps, to give the pattern shown in the original draw ...

114 Unit 3 Problem solving: basic skills If somebody walks from X to Y, in how many, and what, different orders will they see th ...