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8719_s02_er - SR9(IJ FOREWORD 1 ADDITIONAL MATHEMATICS 2...

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SR9(IJ) 1 FOREWORD ....................................................................................................................... 1 ADDITIONAL MATHEMATICS ........................................................................................... 2 GCE Ordinary Level ........................................................................................................................................ 2 Paper 4037/01 Paper 1 ................................................................................................................................. 2 Paper 4037/02 Paper 2 ................................................................................................................................. 5 FURTHER MATHEMATICS .............................................................................................. 10 GCE Advanced Level .................................................................................................................................... 10 Paper 9231/01 Paper 1 ............................................................................................................................... 10 Paper 9231/02 Paper 2 ............................................................................................................................... 15 MATHEMATICS ................................................................................................................ 19 GCE Advanced Level and GCE Advanced Subsidiary Level .................................................................... 19 Paper 9709/01 Paper 1 ............................................................................................................................... 19 Paper 9709/02 Paper 2 ............................................................................................................................... 21 Papers 9709/03 and 8719/03 Paper 3 ........................................................................................................ 23 Paper 9709/04 Paper 4 ............................................................................................................................... 26 Papers 8719/05 and 9709/05 Paper 5 ........................................................................................................ 28 Paper 9709/06 Paper 6 ............................................................................................................................... 31 Papers 8719/07 and 9709/07 Paper 7 ........................................................................................................ 32 GCE Ordinary Level ...................................................................................................................................... 34 Paper 4024/01 Paper 1 ............................................................................................................................... 34 Paper 4024/02 Paper 2 ............................................................................................................................... 38 This booklet contains reports written by Examiners on the work of candidates in certain papers. Its contents are primarily for the information of the subject teachers concerned . http://www.xtremepapers.net
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2 GCE Ordinary Level Paper 4037/01 Paper 1 General comments Although there were some good scripts, the new style of syllabus and paper presented many candidates with considerable difficulty. There were obviously some topics, particularly “matrices” which some candidates had covered if no real depth, if at all. It was very noticeable that the more stereotyped topics from the previous syllabus, notably binomial expansions, solution of simultaneous linear and quadratic equations, coordinate geometry and topics within the calculus sections, were most accessible to the candidates. Comments on specific questions Question 1 This question was very well answered by nearly all candidates. The standard of algebra shown in the elimination of either x or y and in solving the resulting quadratic equation was excellent. Candidates seemed comfortable either with the manipulation of fractions in eliminating x or by the squaring required to eliminate y . A lot of candidates lost the last mark through inaccurate use of decimals when a y -value of 3 1 was expressed as 0.34. Answer : (3 3 1 , 3 1 ) and (2 2 1 , 2). Question 2 Attempts varied considerably. Most candidates realised the need to integrate but such attempts to integrate e kx as 2 2 e kx or e kx +1 showed a considerable lack of understanding of the exponential function. At least a third of all attempts also ignored the use of the point (0, 3) to evaluate the constant of integration. Answer : y = 4 15 e 4 e 4 x x . Question 3 Attempts also varied considerably and there were very few correct answers. A significant number of candidates failed to realise that calculators were of no use in this type of question. Most candidates seemed to be familiar with one of the two processes needed, that is to express 18 as 3 2 or 2 4 as 2 2, but very few seemed confident at using both. The common error of expressing ( a + b ) ² as a ² + b ² also led to loss of marks in part (ii) . Answers : (i) 2 + 11 2; (ii) 55 8 2 .
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3 Question 4 This produced a large number of perfectly correct solutions and although most candidates worked by finding PQ first, several went directly to the answer from using OR = 5 OQ - 4 OP . Use of PQ = p - q , and even p + q , was seen and over a quarter of all candidates did not appreciate the term “unit vector”.
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