Cambridge IGCSE Mathematics - International 0607 — 2014 May/June Paper 1 · Variant 2

This document consists of 11 printed pages and 1 blank page. IB14 06_0607_12/5RP © UCLES 2014 [Turn over *2400943248* Cambridge International Examinations International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 0607/12/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 0607/12/M/J/14 [Turn over 1 (a) Write 10 7 as a percentage. Answer (a) % [1] (b) Work out. 4 × 5 – 6 ÷ 2 Answer (b) [2] (c) Write down the prime number in this list. 21 23 25 27 Answer (c) [1] (d) Write 307 000 in standard form. Answer (d) [1] 2 Jane chooses a sweet at random from a bag containing 7 mints and 7 toffees. Choose one term from the list to best describe the probability that Jane chooses a mint. Impossible Unlikely 50:50 Likely Certain Answer [1]

4 © UCLES 2014 0607/12/M/J/14 3 2x 3y x NOT TO SCALE (a) Write down an expression in x and y for the perimeter of the triangle. Simplify your answer. Answer (a) [2] (b) Using your answer to part (a) find the perimeter when x = 4 and y = 2. Answer (b) [2] 4 Work out the upper quartile and the lower quartile of this list of numbers. 1 10 4 6 7 6 9 10 9 9 Answer Upper Quartile Lower Quartile [2]

5 © UCLES 2014 0607/12/M/J/14 [Turn over 5 –3 –2 –1 0 1 2 3 –8 –6 –7 –5 –4 –3 –2 –1 1 2 3 4 5 y x The diagram shows the line y = 3x – 5. (a) On the same diagram, draw the line y = –2. [1] (b) Write down the co-ordinates of the point of intersection of the lines y = 3x – 5 and y = –2. Answer (b) ( , ) [1]

6 © UCLES 2014 0607/12/M/J/14 6 A cuboid measures 3 cm by 4 cm by 3 cm. 3 cm 4 cm 3 cm NOT TO SCALE Find the volume of the cuboid. Give the units of your answer. Answer [3] 7 70 centilitres A 100 millilitres D 80 cubic centimetres C 0.45 litres B NOT TO SCALE The volume of each of four containers is shown above. List the containers in order of size, starting with the smallest. Answer , , , [2] smallest

7 © UCLES 2014 0607/12/M/J/14 [Turn over 8 (a) Complete the mapping diagram for the function f : x a x + 5. x x + 5 1 … 2 7 3 … [2] (b) Here is a different mapping diagram. x 1 2 7 3 5 9 For this mapping diagram complete the statement f : x a …………… [2]

8 © UCLES 2014 0607/12/M/J/14 9 Work out, giving your answer as a fraction in its lowest terms. (a) 8 3 + 3 2 Answer (a) [2] (b) 8 3 × 3 2 Answer (b) [2] (c) 3 8 3 – 1 3 2 Answer (c) [3]

9 © UCLES 2014 0607/12/M/J/14 [Turn over 10 (a) Factorise completely. 7pq + 14p – 7pt Answer (a) [2] (b) Expand the brackets and simplify. 10(b – 3a) – 2(a + b) Answer (b) [2]

10 © UCLES 2014 0607/12/M/J/14 11 The diagram shows the graph of y = f(x) for –3 Y x Y 1 . –4 –5 –3 –2 –1 0 1 2 3 4 –2 –1 1 2 3 4 y x On the diagram sketch the graph of y = f(x – 2). [2]

11 © UCLES 2014 0607/12/M/J/14 12 A boat sails for 12 km from A to B on a bearing of 120°. The boat changes direction and sails for 5 km on a bearing of 030° to C. North NOT TO SCALE North 12 km 5 km A B C (a) Write down the bearing of A from B. Answer (a) [1] (b) Work out the distance AC. Answer (b) km [3]

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 0607/12/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 0607/12 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 12 © Cambridge International Examinations 2014 1 (a) 70 1 (b) 17 2 M1 for 20 or 3 seen (c) 23 cao 1 (d) 3.07 × 105 1 2 50 : 50 1 3 (a) 3x + 3y or 3(x + y) 2 M1 for x + 2x + 3y (b) 18 2FT M1 for their 3 × 2 + their 3 × 4 or 8 + 4 + 6 seen 4 UQ = 9 LQ = 6 2 B1 for each or SC1 if reversed or SC1 for a correctly ordering list 5 (a) Correct line drawn 1 (b) (1, –2) 1FT FT their (a) 6 36 cm3 2 1 M1 for 3 × 4 × 3 oe 7 C D B A 2 M1 for three containers correctly ordered in the list or correctly converting all to a common unit or SC1 for ordered list in reverse 8 (a) 6 and 8 2 B1 for each in correct order (b) 2x + 3 2 B1 for 2x + j or kx + 3, j and k ≠ 0 9 (a) 1 24 1 or 24 25 2 M1 for multiple of 24 in both denominators (b) 4 1 2 M1 for 24 6 or better seen (c) 1 24 17 or 24 41 3 M2 for 2 – 24 7 or M1 for 8 27 or 3 5 and M1 for multiple of 24 in both denominators

Page 3 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0607 12 © Cambridge International Examinations 2014 10 (a) 7p (q + 2 – t) Final answer 2 B1 for 7( pq + 2p – pt) or p (7q + 14 – 7t) (b) 8b – 32a or 8(b – 4a) Final answer 2 B1 for 8b or – 32a or M1 for 10b – 30a or – 2a – 2b 11 Correct sketch 2 M1 for curve through two of (–1, 1), (0, 0), (3, 2) or SCI for correct sketch of f ( x + 2 ) or f (x) + 2 12 (a) 300 1 (b) 13 3 M2 for 2 2 12 + 5 or better, e.g. 169 or M1 for [AC2] = 52 + 122 or 90° seen at B