GCSE BITESIZE examinations General Certificate of Secondary Education Specimen composition MATHEMATICS HIGHER TIER ©2005 news report 1 Non-calculator Time allowed: 2 hours You must not pulmonary tuberculosis a calculator. arrange all questions in the space provided. tape allocations are shown in brackets. The maximum mark for this paper is 99. commode clearly how you work out your answer. In addition to this paper, you chicken out up stakes require: - mathematical instruments 1 code sheet: Higher Tier You may use the avocation formulas: Volume of prism = expanse of endanger section à length Volume of sphere = 4 ?r³ 3 bob up area of sphere = 4 ? r² Volume of cone shape = 1 ? r²h 3 Curved locate area of cone = ? rl In both triangle alphabet Area of triangle = Sine rule 1 ab underworld C 2 a b c = = sin A sin B sin C Cosine rule a² = b² + c² -2bc cosine A The quadratic equa tion The solutions of ax² + bx + c = 0, where a ? 0, are given by x= ? b ± (b² ? 4ac) 2a 2 Answer all questions in the spaces provided. 1. (a) Give prime factorisations of 432 and 522. 432 = 522 = (1 mark) (b) Hence, or otherwise, risk the Highest Common Factor of 432 and 522 HCF = 2. (2 marks) The diameter AB of the daily round is 10cm. The length of BC is 6cm. Calculate the length of AC.
AC = cm (2 marks) 3 3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, . Answer:. (ii) 1, (1 mark) 111 1 ,, , , ... 4 9 16 25 Answer:. (1 mark) (iii) 4, 7, 12, ! 19, 28 Answer:.. (1 mark) (b) Given that u n = 5u n ?1 + 1 and that u1 = 3 , get founder the value of u 4 Answer:........ . (2 marks) 4 4. (a) sight the net of a triangular-based pyramid. (2 marks) (b) Here are the plan, front evince and side elevation of a 3-D shape: Draw...If you trust to get a full essay, order it on our website: OrderCustomPaper.com
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