Cambridge International Examinations Cambridge International General Certificate of Secondary Education

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1 Cambridge International Examinations Cambridge International General Certificate of Secondary Education * * CMRIDGE INTERNTIONL MTHEMTICS 0607/1 Paper (Extended) October/November minutes Candidates answer on the Question Paper. dditional Materials: Geometrical Instruments RED THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. Do not use staples, paper clips, glue or correction fluid. You may use an H pencil for any diagrams or graphs. DO NOT WRITE IN NY RCODES. nswer all the questions. CLCULTORS MUST NOT E USED IN THIS PPER. ll answers should be given in their simplest form. You must show all the relevant working to gain full marks and you will be given marks for correct methods even if your answer is incorrect. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 40. This document consists of 8 printed pages. DC (LK/CGW) /1 [Turn over

2 Formula List For the equation ax + bx + c = 0 x b! b 4ac = - - a Curved surface area,, of cylinder of radius r, height h. = rrh Curved surface area,, of cone of radius r, sloping edge l. = rrl Curved surface area,, of sphere of radius r. = 4rr 1 Volume, V, of pyramid, base area, height h. V = h 3 Volume, V, of cylinder of radius r, height h. V = rr h Volume, V, of cone of radius r, height h. 1 V = rr h 3 Volume, V, of sphere of radius r. 4 3 V = rr 3 a b c = = sin sin sin C c b a = b + c - bccos 1 rea = bc sin a C 0607/1/O/N/17

3 3 nswer all the questions. 1 y rounding each number correct to 1 significant figure, estimate the value of # Written as the product of their prime factors, = # 3 # 7 and 83 = # 3# 7. Giving your answers as the product of prime factors, find (a) the highest common factor (HCF) of 7056 and 83, (b) the lowest common multiple (LCM) of 7056 and 83,... [1] (c) [1]... [1] 3 Show the inequality x G 4 on this number line x [] 0607/1/O/N/17 [Turn over

4 4 4 Work out 3 1 -, giving your answer as a fraction in its lowest terms [] 5 Solve the simultaneous equations. x 3y = 4 5x 6y = 7 x =... y = 6 is the point (3, 6) and is the point (- 510, ). (a) Work out the co-ordinates of the midpoint of. (...,... ) [] (b) Find the length of, giving your answer in the form a 5. 7 Work out, giving your answer in standard form. 4 5 (. 63# 10 ) + ( 56. # 10 )... [] 0607/1/O/N/17

5 8 Shade the region indicated in each of these Venn diagrams. (a) 5 U l+ l [1] (b) U, ( + C) [1] C (c) U + + Cl C [1] 0607/1/O/N/17 [Turn over

6 6 9 NOT TO SCLE O 140 D 5 C,, C and D are points on a circle centre O. Find (a) angle CD, ngle CD =... [] (b) angle D. ngle D =... [] 0607/1/O/N/17

7 7 10 y is inversely proportional to the square root of x. When x = 9, y = 1. Find y when x = (a) Factorise x -3x [] (b) Using your answer to part (a), solve x -3x [] Questions 1 and 13 are printed on the next page. 0607/1/O/N/17 [Turn over

8 8 1 Rationalise the denominator and simplify Expand the brackets and simplify. ( 3a-5b)( a-3b) Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International Examinations Copyright cknowledgements ooklet. This is produced for each series of examinations and is freely available to download at after the live examination series. Cambridge International Examinations is part of the Cambridge ssessment Group. Cambridge ssessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. 0607/1/O/N/17

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education *485475045* CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/ Paper (Extended) May/June 08 45 minutes Candidates