Cambridge IGCSE Mathematics - International 0607 — 2016 Oct/Nov Paper 2 · Variant 1

This document consists of 8 printed pages. DC (CW/JG) 117025/2 © UCLES 2016 [Turn over * 6 3 5 0 9 3 4 6 5 0 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/21 Paper 2 (Extended) October/November 2016 45 minutes Candidates answer on the Question Paper. Additional Materials: Geometrical Instruments READ 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 HB pencil for any diagrams or graphs. DO NOT WRITE IN ANY BARCODES. Answer all the questions. CALCULATORS MUST NOT BE USED IN THIS PAPER. All 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. Cambridge International Examinations Cambridge International General Certificate of Secondary Education

2 0607/21/O/N/16 © UCLES 2016 Formula List For the equation ax bx c 0 2 + + = x a b b ac 2 4 2 ! = - - Curved surface area, A, of cylinder of radius r, height h. r A rh 2 = Curved surface area, A, of cone of radius r, sloping edge l. r A rl = Curved surface area, A, of sphere of radius r. r A r 4 2 = Volume, V, of pyramid, base area A, height h. V Ah 3 1 = Volume, V, of cylinder of radius r, height h. r V r h 2 = Volume, V, of cone of radius r, height h. r V r h 3 1 2 = Volume, V, of sphere of radius r. r V r 3 4 3 = sin sin sin A a B b C c = = cos a b c bc A 2 2 2 2 = + - sin bc A 2 1 Area = A C B c b a

3 0607/21/O/N/16 © UCLES 2016 [Turn over Answer all the questions. 1 Sara and Klaus share some money in the ratio 5 : 4 . Klaus receives $48. Work out how much Sara receives. $ … [2] 2 A P N F H From the list above, write down the letter which has line symmetry only, … line symmetry and rotational symmetry, … rotational symmetry only. … [2] 3 The list shows the quiz scores of 13 students. 11 11 11 12 12 13 14 15 15 16 16 19 19 Find (a) the mode, … [1] (b) the median, … [1] (c) the upper quartile. … [1] 4 Write .4 07 10 3 # - as an ordinary number. … [1]

4 0607/21/O/N/16 © UCLES 2016 5 v = u + at (a) Find v when , u a 5 1 = =- and t = 1.5 . v = … [2] (b) Rearrange the formula to write a in terms of t, u and v. a = … [2] 6 Work out 9 8 18 7 - , giving your answer in its lowest terms. … [3] 7 The interior angle of a regular polygon is 176°. Work out how many sides the polygon has. … [3]

5 0607/21/O/N/16 © UCLES 2016 [Turn over 8 120° 100° y° A B C D O NOT TO SCALE A, B, C and D lie on the circle, centre O. Work out the value of y. y = … [3] 9 On each Venn diagram, shade the area indicated. ( ) P Q + l W V X + + l l P V W X Q U U [2]

6 0607/21/O/N/16 © UCLES 2016 10 Multiply out the brackets and simplify. ( )( ) 2 3 1 3 2 - + … [2] 11 Solve the equation. x 3 1 - = … [2] 12 Find the value of 25 2 3 - . … [2] 13 x is positive and x 3 8 4 = . Find the exact value of x. x = … [2]

7 0607/21/O/N/16 © UCLES 2016 [Turn over 14 The roots of the quadratic equation x ax b 0 2 + + = are 5 and - 2. Find the value of a and the value of b. a = … [3] b = … [3] 15 y is inversely proportional to the square root of (x - 3). When x = 7, y = 3. Find y in terms of x. y = … [2] 16 2 y x –2 45 90 0 The diagram shows the graph of ( )° sin y a bx = , for x 0 90 G G . Find the value of a and the value of b. a = … [2] b = … [2] Question 17 is printed on the next page

8 0607/21/O/N/16 © UCLES 2016 17 (a) log logk 2 3 = Find the value of k. k = … [1] (b) log log logp 5 2 - = Find the value of p. p = … [1] 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 Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

® IGCSE is the registered trademark of Cambridge International Examinations. This document consists of 3 printed pages. © UCLES 2016 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/21 Paper 2 (Extended) October/November 2016 MARK SCHEME Maximum Mark: 40 Published This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for Teachers. Cambridge will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the October/November 2016 series for most Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level components.

Page 2 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 21 © UCLES 2016 Abbreviations awrt answers which round to cao correct answer only dep dependent FT follow through after error isw ignore subsequent working oe or equivalent SC Special Case nfww not from wrong working soi seen or implied Question Answer Mark Part Marks 1 60 2 M1 for 48 ÷ 4 oe 2 A, H, N 2 B1 for two correct 3 (a) 11 1 (b) 14 1 (c) 16 1 4 0.00407 1 5 (a) 3.5 oe 2 M1 for 5 + (– 1)(1.5) or better (b) v u t − oe final answer 2 M1 for correct rearrangement for term in a M1 for correct division by t 6 1 2 3 B2 for 9 18 or B1 for 16 18 oe 7 90 3 M2 for 360 180 176 − or 180( 2) 176 n n − = or M1 for 180 – 176 or 180( 2) n n − [ = 176] 8 50 3 M2 for 180 – 100 – 0.5(180 – 120) or M1 for angle ADC = 80 or angle ADO = 30 allow seen in correct place on diagram 9 2 B1 for each

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 21 © UCLES 2016 Question Answer Mark Part Marks 10 4 + 3 3 final answer 2 B1 for 2 3 3 2.2 3 3 2 + − − oe 11 2 4 2 B1 for each 12 1 125 2 B1 for 2 correct uses of index notations e.g. 125 or 1 5 or 1 15625 seen or M1 for ( ) 3 1 25 13 1 2 3 or 3 2 M1 for 4 83 or 2 3 x = or B1 for 8 81 oe 14 [a = ] – 3 [b = ] – 10 3 M1 for ( 5)( 2)[ 0] x x − + = or for 0 25 5a b = + + and 0 4 2a b = − + A1 for a or b correct 15 6 3 x − final answer 2 M1 for y = 3 k x − 16 [a = ] 2 [b = ] 4 2 B1 for each 17 (a) 9 1 (b) 5 2 oe 1