Mathematics Higher Level Robert Joinson

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©Sumbooks2002Higher Level90 3 Dimensional Co-ordinates 21) Point A has co-ordinates of (–5, –3, –1).Point B has co-ordinates of (7, 3, 5).What are the co-ordinates of point P, the mid point of line AB?2) a) The cube shown below has two corners of (1,–1,–2) and (5,–1,–2). What are theco-ordinates of the other corners?zy(1, –1, –2)(5, –1, –2)b) The cube is moved +2 units in each direction(i) What are the new co-ordinates of the corners?(ii) What are the co-ordinates of the centre of the cube?3) The co-ordinates of four of the corners of a cube are (–3,–2,–1), (–3–2,1), (–3,0,1) and(–1,0,1). What are the co-ordinates of the other corners?4) A cube has co-ordinates of (–2,–3,–2), (–2,–3,4), (–2,3,4), (–2,3,–2), (4,–3,–2), (4,3,–2),(4,3,4) and (4,–3,4).a) What is the length of one side of the cube?b) Write down the co-ordinates of the centres of each of its six faces.c) What are the co-ordinates of the centre of the cube?d) If the cube is repositioned so that corner (–2, –3, –2) is moved to (0, 0, 0), what is the newposition of corner (4, 3, –2)5) A cuboid has four corners of (–7,–6,–5), (–7,–6,–3), (–7,–3,–5), and (–3,–3,–3).a) What are the co-ordinates of the other corners?b) What are the co-ordinates of the centres of each of its faces?c) What are the co-ordinates of the centre of the cuboid?d) What are the dimensions of the cuboid?e) If corner (–7, –6, –5) is moved to position (0, 0, 0) to what position will corner(–3, –3, –3) move?x
©Sumbooks2002Higher Level91 Moving AveragesThe table below shows the value of the shares of a company over a period of 24 weeks.The value of each share is taken at the end of each week. A shareholder needs to know thetrend in the share value of the company and does this by calculating an 8 week moving average.DayValue of a sharein pence1 2512 2633 2944 3305 3506 3457 3428 3409 33610 33111 33012 32113 31514 30215 32116 31717 32018 31819 30720 301212223243312873053068 week movingaverage324.5b) Explain why there can be no moving average for week 5.c) When can the first moving average be calculated?d) Complete the table of moving averages.e) By looking at the moving averages, what do you think the trend in his share values is?
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Mathematics Higher Level Robert Joinson

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