Cambridge IGCSE Mathematics - International 0607 — 2016 May/June Paper 1 · Variant 3

This document consists of 8 printed pages. IB16 06_0607_13/3RP © UCLES 2016 [Turn over *4992578810* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 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 0607/13/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 0607/13/M/J/16 [Turn over Answer all the questions. 1 The colour of 20 cars in a car park is recorded below. Red Red Red Blue White White Blue Red Green Green Red White Green Red White Red Green Red White White (a) Complete the frequency table. Colour of cars Tally Frequency Red Blue White Green [2] (b) Draw a bar chart to show this information. Complete the scale on the frequency axis. Green White Blue Red Frequency [3] 2 Write these in order of size, starting with the smallest. 0.49 5 2 42% < < [2] smallest

4 © UCLES 2016 0607/13/M/J/16 3 Complete the diagram by shading two more squares to give a shape with rotational symmetry of order 4. [1] 4 Give the mathematical name for each of these quadrilaterals. [2] 5 Write the ratio 9 : 54 in the form 1 : n. 1 : [1] 6 Work out the lowest common multiple (LCM) of 6 and 8. [2]

5 © UCLES 2016 0607/13/M/J/16 [Turn over 7 In a survey, the favourite lessons of a number of students were recorded. The pie chart shows the results. Sport Science Geography Mathematics (a) Find the fraction of students whose favourite lesson was geography. [2] (b) The favourite lesson of 9 students was mathematics. Work out the total number of students in the survey. [2] 8 Find the value of 5x – 3y when x = 4 and y = 7. [2]

6 © UCLES 2016 0607/13/M/J/16 9 74° 58° a° NOT TO SCALE (a) Find the value of a. a = [1] (b) P T S O 120° NOT TO SCALE PS and PT are tangents to the circle centre O. Angle TOS = 120°. Work out the size of angle TPO. Angle TPO == [2] 10 Estimate the value of (3.96 + 2.08 × 0.47)2 . [3]

7 © UCLES 2016 0607/13/M/J/16 [Turn over 11 A cup of coffee costs 90 cents. A cup of tea costs 85 cents. Write down the total cost, in cents, of p cups of coffee and q cups of tea. cents [2] 12 The diagram shows a semicircle with diameter 18 cm. 18 cm NOT TO SCALE Find the total perimeter of the semicircle. Leave your answer in terms of π. cm [3] 13 A B C P Q R 8 cm 6 cm 9 cm NOT TO SCALE Triangle ABC and triangle PQR are similar. Find the length of PR. PR = cm [2] Question 14 and 15 are 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 0607/13/M/J/16 14 (a) Complete the statement. The graph of y = f(x) is translated by the vector       −1 0 onto the graph of y = [1] (b) The function f(x) = 12 – 3x is defined for 2 x 9. Write down the range of f(x). [2] 15 Diagram 1 Diagram 2 Diagram 3 Diagram 4 Look at the patterns of grey and white squares. (a) Complete the table to show the number of small squares in each diagram. Diagram 1 2 3 4 Small white squares 1 4 Small grey squares 8 12 [2] (b) For Diagram 8, write down the number of small white squares. [1] (c) Write down a rule to find the number of small grey squares in Diagram n. [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 0607/13 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 13 © 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 (a) 8, 2, 6, 4 2 B1 for 3 correct frequencies (b) Complete correct bar chart including scale 3FT FT their frequencies. B1 for correct linear scale B1 FT for 2 correct height 2 2 5 42% 0.49 2 M1 for 2 correct in same form 3 1 4 Rhombus Kite 1 1 5 6 1 6 24 2 M1 correct first step If 0 scored, SC1 for 24k on answer line 7 (a) 45 360 or equivalent fraction 2 B1 for 45 seen (b) 24 2 M1 for equating 135 with 9 students 8 –1 2 M1 for 5 × 3 – 3 × 7 or better 9 (a) 48 1 (b) 30 2 M1 for angle PTO or PSO = 90° soi 10 25 3 B1 for two of 4, 2 and 0.5 M1 for correct evaluation of their 4 + 2 × 0.5

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – May/June 2016 0607 13 © Cambridge International Examinations 2016 Question Answer Mark Part Marks 11 90p + 85q 2 B1 for 90p or 85q seen If 0 scored, SC1 for 0.9p + 0.85q 12 9π + 18 2 1 M1 for 0.5 × 18 × π or equivalent forms 13 12 2 M1 for a correct first step e.g. 9 6 = 8 PR or [scale factor] 2 3 14 (a) f(x) – 1 1 (b) –15 ≤ f(x) ≤ 6 2 B1 for 6 and –15 stated, but not shown as a range or B1 for 1 correct inequality. 15 (a) 9 16 16 20 2 B1 for 1 correct row or column. (b) 64 1 (c) 4n + 4 oe 2 B1 for 4n + k or jn + 4 (j ≠ 0)