Cambridge IGCSE Mathematics - International 0607 — 2014 May/June Paper 1 · Variant 1

This document consists of 11 printed pages and 1 blank page. IB14 06_0607_11/5RP © UCLES 2014 [Turn over *2660893404* Cambridge International Examinations International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2014 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 2014 0607/11/M/J/14 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 2014 0607/11/M/J/14 [Turn over 1 Work out. 2.5 × 10 ÷ 5 Answer [1] 2 Find 3% of $8000 . Answer $ [1] 3 (a) Write 46.849 correct to 1 decimal place. Answer (a) [1] (b) After conversion from euros to dollars, a flight from Paris to London costs $59.90235 . Write this value correct to 4 significant figures. Answer (b) $ [1]

4 © UCLES 2014 0607/11/M/J/14 4 (a) arc circumference diameter radius sector segment Label the diagram. Use only words from the box above. … … … [3] (b) Measure and write down the size of angle ABC. A B C Answer (b) [1]

5 © UCLES 2014 0607/11/M/J/14 [Turn over 5 –4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 1 2 3 4 y x B C (a) On the grid, plot the point (–3, 2). Label this point A. [1] (b) Write down the co-ordinates of point B. Answer (b) ( , ) [1] (c) Find the midpoint of BC. Answer (c) ( , ) [1]

6 © UCLES 2014 0607/11/M/J/14 6 (a) B C D E F A NOT TO SCALE The diagram shows a regular hexagon. Work out the size of angle ABC. Show all your working. Answer (a) [3] (b) 135° NOT TO SCALE The diagram shows a square and four regular octagons. The interior angle of a regular octagon is 135°. Use angles to explain why the square and octagons fit together with no gaps, as shown in the diagram. Answer (b) [2]

7 © UCLES 2014 0607/11/M/J/14 [Turn over 7 –4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 1 2 3 4 y x B A Write AB as a column vector. Answer           [2] 8 A bag contains 3 red balls, 2 blue balls and 1 yellow ball. A ball is chosen at random. What is the probability that the ball is either red or blue? Give your answer as a fraction. Answer [1]

8 © UCLES 2014 0607/11/M/J/14 9 (a) Complete the mapping diagram for the function f : x a x2. x –2 –1 0 1 2 x 0 1 4 2 [2] (b) Write down the domain of the mapping in part (a). Answer (b) [1] (c) Which of these phrases describes the mapping in part (a). one-to-one one-to-many many-to-one many-to-many Answer (c) [1]

9 © UCLES 2014 0607/11/M/J/14 [Turn over 10 –6 –5 –4 –3 –10 –9 –8 –7 –2 –1 0 1 2 3 4 5 6 7 8 9 10 –5 –4 –3 –2 –1 –10 –9 –8 –7 –6 1 2 3 4 5 6 7 8 9 10 y x Q The diagram shows a quadrilateral Q. (a) Draw the reflection of Q in the y-axis. [2] (b) Draw the enlargement of Q with centre (0, 0) and scale factor 2 1 . [3]

10 © UCLES 2014 0607/11/M/J/14 11 (a) 3p – 5t = 8 Work out the value of 12p – 20t. Answer (a) [2] (b) Solve the following equations. (i) 5x – 7 = 9 + 3x Answer (b)(i) x= [2] (ii) 4 (4x – 5) = 28 Answer (b)(ii) x= [3]

11 © UCLES 2014 0607/11/M/J/14 12 Diagram 1 Diagram 2 Diagram 3 Diagram 4 (a) Draw Diagram 4, the next pattern of dots in this sequence. [1] (b) Complete this table. Diagram Number 1 2 3 4 Total number of dots 4 [2] (c) Find an expression, in terms of n, for the nth term of the sequence. Answer (c) [2]

12 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. 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 2014 0607/11/M/J/14 BLANK PAGE

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2014 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core), maximum raw mark 40 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 2014 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components.

Page 2 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0607 11 © Cambridge International Examinations 2014 1 5 1 2 240 1 3 (a) 46.8 1 (b) 59.90 1 4 (a) Diameter 1 Sector 1 Arc 1 (b) 103° ± 2° 1 5 (a) Plot A (–3, 2) 1 See × or point marked (b) (2, 3) 1 (c) (1, 0.5) 1 6 (a) 120 3 M1 for 360 ÷ 6 oe and M1 for 180 − their 60. Alt method M1 for (6 – 2) × 180 oe and M1 for their 720 ÷ 6 (b) Angles at a point add up to 360 135 + 135 + 90 [= 360] B1 B1 7      − 5 4 2 B1 for each. or SC1 for       −5 4 8 6 5 1 9 (a) All 4 arrows correct i.e. 2 B1 for any 3 arrows correct. (b) 0, ±1, ±2 oe 1 (c) Many-to-one written or indicated 1 -2 -1 0 1 2 x 0 1 4 x2

Page 3 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0607 11 © Cambridge International Examinations 2014 10 (a) Shape with vertices at (–4, 0), (–8, 2), (–6, 6) and (–4, 6) 2 SC1 for reflection in the x-axis. (b) Shape with vertices at (2, 0), (4, 1), (3, 3) and (2, 3) 3 B2 for correct size and orientation, wrong place or B2 for correct apart from error in 1 vertex or B1 for incorrect scale factor, centre (0, 0) or B1 for any enlargement, sf ≠ 1 11 (a) 32 2 M1 for 4 × 3p or 4 × 5t or 4 × 8 seen. (b) (i) 8 2 M1 for correct first step (ii) 3 3 M1 for 4x – 5 = 7 or 16x – 20 = 28 and M1 for 4x = 12 or 16x = 48 or FT their first step (ax = b) (a ≠ 1) 12 (a) 1 (b) 12, 20, 28 2 B1 for 2 correct (c) 8n − 4 2 M1 for 8n + j or kn – 4 where j, k ≠ 0