Cambridge IGCSE Mathematics - International 0607 — 2017 May/June Paper 1 · Variant 1

This document consists of 10 printed pages and 2 blank pages. IB17 06_0607_11/RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2017 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 2017 0607/11/M/J/17 Formula List Area, A, of triangle, base b, height h. A = 1 2 bh Area, A, of circle, radius r. A = r2 Circumference, C, of circle, radius r. C = 2r Curved surface area, A, of cylinder of radius r, height h. A = 2rh Curved surface area, A, of cone of radius r, sloping edge l. A = rl Curved surface area, A, of sphere of radius r. A = 4r2 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 = r2h Volume, V, of cone of radius r, height h. V = 1 3 r2h Volume, V, of sphere of radius r. V = 4 3 r3

3 © UCLES 2017 0607/11/M/J/17 [Turn over Answer all the questions. 1 (a) Change 4.3 metres into millimetres. mm [1] (b) Change 60 hours into days. days [1] 2 Write down a square number between 20 and 30. [1] 3 Insert brackets to make this calculation correct. 24 – 12 ÷ 3 = 4 [1] 4 Find the lowest common multiple (LCM) of 6 and 15. [2] 5 Draw an angle of 73° at A. A [1]

4 © UCLES 2017 0607/11/M/J/17 6 The diagram shows how Ken’s mass, in kilograms, has increased with his age, in years. 1 2 3 4 5 8 7 6 0 Age (years) 10 20 30 40 50 0 Mass (kg) x y 10 9 12 11 (a) Write down Ken’s mass when he was 6 years old. kg [1] (b) Write down Ken’s age when his mass was 30 kg. years [1] 7 A tray contains 5 pink cakes, 6 green cakes and 1 yellow cake only. Hattie chooses one cake at random. Complete the table. Probability of choosing a pink cake Probability of choosing a green cake 2 1 Probability of choosing a yellow cake Probability of choosing a blue cake [3]

5 © UCLES 2017 0607/11/M/J/17 [Turn over 8 Write down the gradient of the line y = 7 − x. [1] 9 Raphael is drawing a pie chart for the time, t minutes, that 90 students spend on the internet each day. Time (t minutes) Frequency Sector Angle 0 < t 10 10 10 < t 30 15 30 < t 50 20 t  50 45 180 (a) Complete the table to show the sector angles in the pie chart. [2] (b) Complete the pie chart to show this information. Label each sector. t 50 [2]

6 © UCLES 2017 0607/11/M/J/17 10 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 A y x (a) Write down the co-ordinates of the point A. ( , ) [1] (b) C has co-ordinates (4, 6). C is the midpoint of the line AB. Find the co-ordinates of B. ( , ) [1] 11 A trader buys a carpet for $640. She sells it at a profit of 25%. Calculate the selling price of the carpet. $ [3]

7 © UCLES 2017 0607/11/M/J/17 [Turn over 12 Find the area of this shape. 2 cm NOT TO SCALE 8 cm 8 cm 4 cm cm2 [3]

8 © UCLES 2017 0607/11/M/J/17 13 (a) Shade a segment inside this circle. [1] (b) Draw a radius inside this circle. [1] (c) P O A B 50° NOT TO SCALE The diagram shows a circle, centre O. AP and BP are tangents to the circle at A and B. Find angle AOB. Angle AOB = [3]

9 © UCLES 2017 0607/11/M/J/17 [Turn over 14 –8 –10 –2 0 2 2 10 x y P Q –2 –6 –4 6 4 8 Describe fully the single transformation that maps shape P onto shape Q. [3] 15 On each Venn diagram, shade the region indicated. A A ∩ B A B B A ∪ B ' [2] Questions 16 and 17 are printed on the next page.

10 © UCLES 2017 0607/11/M/J/17 16 Solve. 3x – 4 8 [2] 17 Solve the simultaneous equations. 6x + 4y = 34 3x – y = 14 x = y = [3]

11 © UCLES 2017 0607/11/M/J/17 BLANK PAGE

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. 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 2017 0607/11/M/J/17 BLANK PAGE

® IGCSE is a registered trademark. This document consists of 4 printed pages. © UCLES 2017 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2017 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 2017 series for most Cambridge IGCSE®, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 2 of 4 MARK SCHEME NOTES The following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons outside the scope of these notes. Types of mark M Method marks, awarded for a valid method applied to the problem. A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned or implied. B Mark for a correct result or statement independent of Method marks. When a part of a question has two or more ‘method’ steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly where there are several B marks allocated. The notation ‘dep’ is used to indicate that a particular M or B mark is dependent on an earlier mark in the scheme. Abbreviations awrt answers which round to cao correct answer only dep dependent FT follow through after error isw ignore subsequent working nfww not from wrong working oe or equivalent rot rounded or truncated SC Special Case soi seen or implied

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 3 of 4 Question Answer Marks Part marks 1(a) 4300 1 1(b) 2.5 or 1 2 2 1 2 25 1 3 (24 – 12) ÷ 3 = 4 1 4 30 2 M1 for correct first step If 0 scored SC1 for 30n, n > 1 5 Correct angle drawn 1 6(a) 20 1 6(b) 10.5 oe 1 7 [Pink] 5 12 isw 1 [Yellow] 1 12 isw 1 [Blue] 0 1 8 –1 1 9(a) 40, 60 and 80 2 B1 for 2 correct 9(b) Correct pie chart 2 FT for 2 marks if their (a) angles add to 180 and only 3 sectors drawn B1 for 1 correct and labelled sector or for all sectors drawn but no or incorrect labels 10(a) (6, 5) 1 10(b) (2, 7) 1 11 800 3 M2 for 1.25 × 640 oe or M1 for 0.25 × 640 oe and A1 for 160 12 28 nfww 3 M1 for 16 seen for area of large rectangle or for 8 seen for area of small rectangle or for 0.5 × 6 × 4 for area of triangle or for a trapezium (8 2) 4 2 + × or (8 4) 6 2 + × or for 64 for external square and M1 for correct method to combine their areas

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 4 of 4 Question Answer Marks Part marks 13(a) Segment correctly shaded 1 13(b) Radius correctly drawn 1 13(c) 130 3 M2 for 180 – 50 oe or AOP or BOP = 65 seen or B1 for APB = 50 or OAP or OBP = 90 14 Enlargement Scale factor 1 2 [centre] (1, –1) 3 B1 for each 15 2 B1 for each 16 x ⩾ 4 2 M1 for 3x ⩾ 8 + 4 or 3 4 3 3 − x ⩾ 8 3 17 Correctly eliminating one variable M1 [x =] 5 A1 [y =] 1 A1 If zero scored SC1 for two values satisfying one of the original equations or for 2 correct answers without working