Thinking Skills: Critical Thinking and Problem Solving

5.2 Developing models 215 calculated, so the model which was developed above must now be applied to the new situation. The area ...

216 Unit 5 Advanced problem solving the difficult bits and forget something simple – in this case that the drop in level allowed ...

5.2 Developing models 217 us to produce a graph of sorts. However, you may be able to see that we could not draw a point showing ...

218 Unit 5 Advanced problem solving start one 360º revolution nish It is quicker to lower a tall stone than to raise it. From e ...

5.2 Developing models 219 He will only consider blocks that are cuboid in shape and have dimensions that are whole numbers of me ...

220 Unit 5 Advanced problem solving 5.3 Carrying out investigations An investigation is a problem where a set of information is ...

5.3 Carrying out investigations 221 1 23 45 = 2 6 = 6 7 = 58= 3 = 7 There are eight distinguishably different tiles in total. On ...

222 Unit 5 Advanced problem solving The overall area of the lawn (calculated as the surrounding rectangle minus the cut- out) is ...

5.3 Carrying out investigations 223 The total time taken is: short section: 2 minutes long section: 2 minutes 24 seconds left ed ...

224 Unit 5 Advanced problem solving putting oranges in the ‘dimples’ in the layer below until no more layers can be made. This i ...

5.4 Data analysis and inference 225 We saw in Chapter 3.8 that problems involving making inferences from data or suggesting reas ...

226 Unit 5 Advanced problem solving Commentary This exercise asks three quite clear questions which can be answered by analysing ...

5.4 Data analysis and inference 227 or £1.87 billion. The pie chart shows that individuals contribute 61% of all donations to me ...

228 Unit 5 Advanced problem solving a The first graph shows the proved gas and oil reserves divided by the actual consumption ...

5.4 Data analysis and inference 229 b Which teams can still qualify for the next stages and what results of the final two matche ...

230 Unit 5 Advanced problem solving Answers and comments are on pages 331–33. Crop yield: kg/m^2 Water input: litres/m^2 /day 5 ...

6.1 6.1 Using other mathematical methodsUsing other mathematical methods 231231 Some types of question may be answered in a more ...

232 Unit 6 Problem solving: further techniques Commentary Although a fictitious situation, this is similar to many real problems ...

6.1 Using other mathematical methods 233 answer is the LCM of 6 and 8. The prime factors of 6 are 2 and 3; the prime factors of ...

234 Unit 6 Problem solving: further techniques • This chapter has shown how knowledge of a few relatively simple mathematical ...