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

This document consists of 8 printed pages. DC (NF/JG) 117022/1 © UCLES 2016 [Turn over * 1 6 8 2 9 3 5 5 7 6 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 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 0607/22/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 0607/22/O/N/16 © UCLES 2016 [Turn over Answer all the questions. 1 25 26 27 28 29 30 From this list, write down a prime number. … [1] 2 $84 is divided in the ratio 3 : 4. Find the value of the largest share. $ … [2] 3 In a sale, the price of all furniture is reduced by 30%. (a) Before the sale the price of a chair was $40. Find the price of this chair in the sale. $ … [2] (b) In the sale, the price of a table is $140. Find the price of this table before the sale. $ … [3]

4 0607/22/O/N/16 © UCLES 2016 4 Work out the following, giving each answer in standard form. (a) 6.4 10 1.6 10 2 3 # # - - - ^ ^ h h … [2] (b) 6.4 10 1.6 10 2 3 ' # # - - ^ ^ h h … [2] 5 One day there were 720 students at a school. The table shows the type of transport the students used to get to school. Type of transport Walk Bus Car Bicycle Number of students 117 280 240 x (a) Find the value of x. x = … [1] (b) Find the relative frequency of students who went to school by car. Give your answer as a fraction in its lowest terms. … [2]

5 0607/22/O/N/16 © UCLES 2016 [Turn over 6 A bag contains 10 discs. 5 discs are red, 4 are blue and 1 is green. A disc is chosen at random and not replaced. A second disc is then chosen at random. Find the probability that (a) both discs are green, … [1] (b) both discs are the same colour. … [3] 7 Expand the brackets and simplify. (a) x x x x 3 4 5 5 3 2 - - + ^ ^ h h … [2] (b) x y x y 4 3 2 - + ^ ^h h … [3]

6 0607/22/O/N/16 © UCLES 2016 8 Find the value of 64 3 1. … [1] 9 Find the highest common factor (HCF) of x y 8 3 4 and x y 12 4 . … [2] 10 In each of the following, rationalise the denominator and simplify your answer. (a) 3 6 … [2] (b) 2 3 3 + … [2]

7 0607/22/O/N/16 © UCLES 2016 [Turn over 11 The points A (3, 8) and B (9, 0) are shown on the diagram below. y x 0 B A NOT TO SCALE Find the equation of the perpendicular bisector of the line AB. … [5] Question 12 is printed on the next page.

8 0607/22/O/N/16 © UCLES 2016 12 y is proportional to the square of x. When x = 4, y = 8. (a) Find an equation connecting y and x. … [2] (b) Find the values of x when y = 32. … [2] 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 0607/22 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 22 © 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 Marks Part Marks 1 29 1 2 48 2 M1 for 84 7 3 (a) 28 2 M1 for 40 0.7 oe × (b) 200 3 M2 for 140 0.7 oe ÷ or M1 for 140 = 70% oe 4 (a) 2 6.24 10− × 2 M1 for 0.064 – 0.0016 or 3 64 10− × or 2 0.16 10− × if 0 scored SC1 for figs 624 seen (b) [1] 4 10 × 2 B1 for 4 10k × 5 (a) 83 1 (b) 1 3 2 B1 for 240 720 oe 6 (a) 0 1 (b) 32 90 oe 3 M2 for 5 4 4 3 10 9 10 9 × + × or M1 for 5 4 4 3 or 10 9 10 9 × × 7 (a) 2x – 30x2 or 2x(1 – 15x) final answer 2 B1 for 2 2 12 15 or 15 10 x x x x − − − (b) 2 2 12 5 2 x xy y + − final answer 3 B2 for 2 2 12 8 3 2 x xy xy y + − − or B1 for above with 1 wrong/omitted term 8 4 1 9 3 4x y final answer 2 B1 for any 2 parts correct

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 22 © UCLES 2016 Question Answer Marks Part Marks 10 (a) 2 3 final answer 2 M1 for 3 3 × oe (b) 2 3 3 − final answer 2 M1 for 2 3 2 3 − × − 11 4 3 2 y x = − oe final answer 5 B1 (6, 4) seen B1 8 6 − oe seen B1FT their 6 8 oe seen M1 for correct method to find ‘c’ 12 (a) 2 0.5 y x = oe final answer 2 B1 for 2 y kx = oe (b) 8 –8 1 1