Cambridge IGCSE Mathematics - International 0607 — 2017 May/June Paper 1 · Variant 2

This document consists of 8 printed pages. IB17 06_0607_12/2RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 0607/12/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 0607/12/M/J/17 [Turn over Answer all the questions. 1 20 25 29 32 33 40 45 From this list of numbers, write down (a) the multiple of 11, [1] (b) the prime number, [1] (c) the square number, [1] (d) the lowest common multiple (LCM) of 4 and 5. [1] 2 Write 5 4 as a decimal. [1] 3 Write 30% as a fraction in its simplest form. [2] 4 Share $150 in the ratio 2 : 3. $ and $ [2] 5 Write down the mathematical name for an 8-sided shape. [1]

4 © UCLES 2017 0607/12/M/J/17 6 x° Measure the angle marked x in the diagram. [1] 7 (a) NOT TO SCALE a° 85° Write down the size of the angle marked a and give a reason for your answer. a = because [2] (b) NOT TO SCALE q° 120° 100° 60° Find the size of the angle marked q. q = [2]

5 © UCLES 2017 0607/12/M/J/17 [Turn over 8 Give two examples of discrete data. 1. 2. [2] 9 This sign is a company logo. 4 cm 2 cm NOT TO SCALE 2 cm 2 cm 8 cm 2 cm The diagram shows a rectangle with two identical right-angled triangles removed. Work out the area of the shaded region. Give the units of your answer. [4] 10 The diameter of an atom is 0.000 000 03 metres. Write this number in standard form. [1]

6 © UCLES 2017 0607/12/M/J/17 11 Voroda invests $200 at 3% per year simple interest. Work out the total value of this investment at the end of 4 years. $ [3] 12 (a) Factorise. 4x + 10 [1] (b) Expand. 4(9a – 3b) [1] 13 Simplify. 10 9 3 2 x x  [2]

7 © UCLES 2017 0607/12/M/J/17 [Turn over 14 The point A has co-ordinates (3, 2) and         3 5 AB . Find the co-ordinates of the point B. ( , ) [2] 15 Find the gradient of the line 4y = 3x – 7. [1] 16 The point A has co-ordinates (2, 7). The point B has co-ordinates (5, 1). Find the co-ordinates of the midpoint of the line AB. ( , ) [2] 17 The function f(x) = x2 is defined for –3 x 6. Write down the range of f(x). [2] Questions 18 and 19 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 2017 0607/12/M/J/17 18 Describe the single transformation that maps the graph of x y 1  onto the graph of 3 1  x y . [2] 19 –6 –6 –5 –4 –3 –2 0 1 2 3 4 5 6 –5 –4 –3 –2 –1 1 2 4 5 6 y x 3 P –1 Reflect triangle P in the line y = x. [2]

® 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 0607/12 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.

0607/12 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

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 3 of 4 Question Answer Marks Part Marks 1(a) 33 1 1(b) 29 1 1(c) 25 1 1(d) 20 1 2 0.8 1 3 3 10 cao 2 M1 for 30 100 oe 4 60 and 90 2 B1 for each or M1 for 150 ÷ 5 5 Octagon 1 6 42 1 7(a) 85 [vertically] opposite angle[s] 2 B1 for each and no other angle properties 7(b) 80 2 M1 for 360 – (100 + 120 + 60) or better 8 correct examples 2 B1 each 9 28 nfww 3 M2 for 4 × 8 – 2 × 1 2 × 2 × 2 oe or M1 for 4 × 8 or 1 2 × 2 × 2 cm2 1 10 3 × 10–8 1 11 $224 3 M2 for 200 3 4 100 × × [ +200] oe or M1 for 200 3 [ 4] 100 × × oe (implied by 6) 12(a) 2 (2x + 5) final answer 1 12(b) 36a – 12b final answer 1 13 2 3 5 x 2 M1 for 2 18 30 x or 2 9 15 x or 2 6 10 x If 0 scored, SC1 for answer 3 5 n x , where n is an integer

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 4 of 4 Question Answer Marks Part Marks 14 (8, –1) 2 B1 for each co-ordinate 15 3 4 oe 1 16 (3.5, 4) 2 B1 for each co-ordinate If 0 scored, SC1 for reversed co-ordinates 17 0 ⩽ f(x) ⩽ 36 2 B1 for 0 seen as minimum value of f(x) If 0 scored, SC1 for 9 ⩽ f(x) ⩽ 36 18 Translation 3 0 −       2 B1 for each 19 Correct image drawn with (3, 2) (3, –2) (5, 2) 2 B1 2 of 3 points correct or y = x drawn If 0 scored, SC1 for correct reflection in y = –x