Cambridge IGCSE Mathematics - International 0607 — 2016 May/June Paper 1 · Variant 2

This document consists of 8 printed pages. IB16 06_0607_12/3RP © UCLES 2016 [Turn over *8403157003* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) May/June 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.

2 © UCLES 2016 0607/12/M/J/16 Formula List Area, A, of triangle, base b, height h. A = 1 2 bh Area, A, of circle, radius r. A = πr2 Circumference, C, of circle, radius r. C = 2πr Curved surface area, A, of cylinder of radius r, height h. A = 2πrh Curved surface area, A, of cone of radius r, sloping edge l. A = πrl Curved surface area, A, of sphere of radius r. A = 4πr2 Volume, V, of prism, cross-sectional area A, length l. V =Al Volume, V, of pyramid, base area A, height h. V= 1 3 Ah Volume, V, of cylinder of radius r, height h. V = πr2h Volume, V, of cone of radius r, height h. V = 1 3 πr2h Volume, V, of sphere of radius r. V = 4 3 πr3

3 © UCLES 2016 0607/12/M/J/16 [Turn over Answer all the questions. 1 Ben takes 1 hour 5 minutes to do his homework. Alisa takes 20 minutes less. Work out how long Alisa takes. Give your answer as a fraction of an hour. hour [2] 2 Draw all the lines of symmetry on this shape. [1] 3 Write down the mathematical name of each of these shapes. The first shape has been named for you. Rectangle [3] 4 Write down the value of (a) 81 , [1] (b) 3 8 . [1]

4 © UCLES 2016 0607/12/M/J/16 5 (a) Write 30% as a fraction. [1] (b) Write 20 18 as a percentage. % [1] (c) Work out 15 % of 340 metres. m [2] 6 (a) NOT TO SCALE x° 35° Find the value of x. x = [2] (b) NOT TO SCALE y ° 40° Find the value of y. y = [2]

5 © UCLES 2016 0607/12/M/J/16 [Turn over 7 Work out. 5 3 × 7 2 [2] 8 (a) Write 2.96 correct to 1 significant figure. [1] (b) Find the approximate value of 96 2 1 9 . . + 95 5 5 30 . . . [2] (c) Is your answer to part (b) higher or lower than the actual answer? Give a reason for your answer. because [1] 9 A fair 6-sided die is numbered 1, 2, 3, 4, 5 and 6. The die is rolled once. Find the probability that the number on the top face is (a) 2, [1] (b) not 2. [1]

6 © UCLES 2016 0607/12/M/J/16 10 (a) Factorise completely. x – 5x2 [1] (b) r = c b a 3 2 − Find the value of r when a = 5, b = 2 and c = –5. r = [3] 11 Solve the following simultaneous equations. 2x + 5y = 15 2x – 3y = 7 x = y = [2] 12 List the integer values of n for which 3 3n < 15. [2]

7 © UCLES 2016 0607/12/M/J/16 [Turn over 13 0 1 2 3 1 2 3 y 4 4 5 A x 5 B 6 6 7 8 (a) Find the vector AB .         [2] (b) BC =       − − 1 2 . On the grid above, plot and label the point C. [1] 14 The diagram shows the graph of y = f(x). 1 2 y x 1 2 3 4 0 –4 –3 –2 –1 3 4 –4 –3 –2 –1 Write down the equations of the two asymptotes of the graph. and [2] Question 15 is printed on the next page.

8 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. © UCLES 2016 0607/12/M/J/16 15 10 20 30 40 50 80 70 60 20 40 60 80 100 120 140 160 180 200 0 Cumulative frequency Mark The diagram shows a cumulative frequency curve for the marks of 200 students in a test. Estimate (a) the median mark, [1] (b) the interquartile range. [2]

® 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 0607/12 Paper 1 (Core) May/June 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 May/June 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 – May/June 2016 0607 12 © Cambridge International Examinations 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 3 4 2 B1 for 45 seen or 45 60 or 15 20 oe 2 One line only, horizontally through centre of shape 1 3 Parallelogram Trapezium Equilateral triangle 1 1 1 B0 for rhombus B0 for triangle 4 (a) 9 1 Accept –9 or ± 9 (b) 2 1 5 (a) 30 100 or equivalent fraction 1 (b) 90 1 (c) 51 2 M1 for 34 + 17 oe seen or 0.15 × 340 6 (a) 55 2 M1 for 90 + 35 soi by 125 (b) 70 2 M1 for 180 – 40 or better 7 6 35 or equivalent fraction 2 B1 for either correct denominator or correct numerator 8 (a) 3 1 (b) 8 2 M1 for 9 3 + 30 6 (c) Lower and correct reason 1

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – May/June 2016 0607 12 © Cambridge International Examinations 2016 Question Answer Mark Part marks 9 (a) 1 6 oe 1 (b) 5 6 oe 1 FT FT 1 – their (a), if 0 < their (a) < 1 10 (a) x(1 – 5x) final answer 1 (b) 4 5 − oe 3 B2 for 4 ÷ –5 or M1 for 2 5 3 2 5 × −× − 11 [x =] 5 [y =] 1 1 1 If zero scored, SCI for correct substitution and evaluation to find the other variable 12 1 2 3 4 2 B1 for 3 correct with only 1 incorrect or M1 for 1 ⩽n < 5 13 (a) 4 3     −   2 B1 for each component If zero scored, SCI for 4 3 −       (b) Plot at (4, 3) 1 14 x = 0 y = –1 1 1 Accept y-axis If zero, SC1 for asymptotes indicated on graph 15 (a) 30 1 (b) 24 2 B1 for frequencies of 20 or 44 seen