Cambridge IGCSE Mathematics - International 0607 — 2019 May/June Paper 1 · Variant 1

This document consists of 11 printed pages and 1 blank page. IB19 06_0607_11/2RP © UCLES 2019 [Turn over  Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2019 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 2019 0607/11/M/J/19 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 2019 0607/11/M/J/19 [Turn over Answer all the questions. 1 Write 36 247 correct to the nearest thousand. [1] 2 Write down three multiples of 12. , , [1] 3 C B A O D The diagram shows a circle centre O and three lines, OA, AB and CD. Write down the line that is (a) a chord, [1] (b) a tangent. [1]

4 © UCLES 2019 0607/11/M/J/19 4 The cost, in dollars, of a taxi journey is 2 × (number of kilometres travelled) + 10. Find the cost of a taxi journey of 30 kilometres. $ [2] 5 Change 2.4 metres into millimetres. mm [1] 6 (a) x° 120° NOT TO SCALE Find the value of x. x = [1] (b) y° 110° NOT TO SCALE 70° 50° Find the value of y. y = [1]

5 © UCLES 2019 0607/11/M/J/19 [Turn over 7 1 2 3 4 5 6 7 Write down all the integers that satisfy the inequality shown on this number line. [1] 8 (a) Work out 8 3 of 16. [1] (b) Write 20 1 as a percentage. % [1] (c) Write 8 1 as a decimal. [1] 9 8 cm 6 cm 3 cm 2 cm NOT TO SCALE Work out the area of this shape. cm2 [3]

6 © UCLES 2019 0607/11/M/J/19 10 Huda is drawing a pie chart for the times, in minutes, that 60 students take to travel to school. Time (t minutes) Frequency Angle (degrees) t ≤ 10 5 30 10  t ≤ 15 15 15  t ≤ 20 10 t  20 30 (a) Complete the table to show the sector angles in the pie chart. [2] (b) Complete the pie chart to show this information. t 10 [2]

7 © UCLES 2019 0607/11/M/J/19 [Turn over 11 –2 –1 0 1 2 3 1 2 3 4 –3 –2 –1 4 5 –3 – 4 6 7 A B x y A is the point (–3, 6) and B is the point (3, –2). Find the co-ordinates of the midpoint of AB. ( , ) [2] 12 Solve 2x < 8. [1] 13 27 = 128 Find the value of 28. [1]

8 © UCLES 2019 0607/11/M/J/19 14 Write down the type of correlation shown in each of these scatter diagrams. [2] 15 f(x) = x2 + 1 Work out the values of x when f(x) = 26. x = or x = [2] 16 300° A B NOT TO SCALE North The bearing of B from A is 300°. Find the bearing of A from B. [2]

9 © UCLES 2019 0607/11/M/J/19 [Turn over 17 0 3 6 3 B A 1 2 3 4 5 1 2 4 5 7 x y (a) Write down the equation of line A. [1] (b) Find the equation of line B. [2] 18 Solve the simultaneous equations. x + y = 3 x – 4y = 13 x = y = [2]

10 © UCLES 2019 0607/11/M/J/19 19 (a) On the Venn diagram shade the region represented by A. A [1] (b) X Y b g s t y a e The Venn diagram shows two sets X and Y. U = {a, b, e, g, s, t, y} A letter is chosen at random. Write down the probability that it is in set Y but not in set X. [1]

11 © UCLES 2019 0607/11/M/J/19 20 A is the point (–3, 4) and B is the point (2, 2). Find the vector AB .       [2] 21 The graph of y = f(x) is translated by the vector       0 2 . Write down the equation of the new graph. y = [1]

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 Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. © UCLES 2019 0607/11/M/J/19 BLANK PAGE

This document consists of 5 printed pages. © UCLES 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2019 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 International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the May/June 2019 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 2019 © UCLES 2019 Page 2 of 5 Generic Marking Principles These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptors for a question. Each question paper and mark scheme will also comply with these marking principles. GENERIC MARKING PRINCIPLE 1: Marks must be awarded in line with: • the specific content of the mark scheme or the generic level descriptors for the question • the specific skills defined in the mark scheme or in the generic level descriptors for the question • the standard of response required by a candidate as exemplified by the standardisation scripts. GENERIC MARKING PRINCIPLE 2: Marks awarded are always whole marks (not half marks, or other fractions). GENERIC MARKING PRINCIPLE 3: Marks must be awarded positively: • marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate • marks are awarded when candidates clearly demonstrate what they know and can do • marks are not deducted for errors • marks are not deducted for omissions • answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be unambiguous. GENERIC MARKING PRINCIPLE 4: Rules must be applied consistently e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors. GENERIC MARKING PRINCIPLE 5: Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen). GENERIC MARKING PRINCIPLE 6: Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in mind.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 3 of 5 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 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Partial Marks 1 36 000 1 2 Any 3 multiples of 12 1 3(a) AB 1 3(b) CD 1 4 70 2 M1 for 2 × 30 + 10 or 60 seen 5 2400 1 6(a) 60 1 6(b) 130 1 7 3, 4, 5, 6 1 8(a) 6 1 8(b) 5 1 8(c) [0].125 cao 1 9 28 3 M1 for area of rectangle e.g. 18 seen or for area of triangle e.g. 0.5 × 5 × 4 and M1 for complete method for total area 10(a) Angles 90, 60, 180 in oder 2 B1 for 2 correct angles or M1 for 6° [per student] seen 10(b) Correct pie chart with category labels 2 B1 for 1 correct sector (angle and label) If 0 scored, SC1 for correct pie chart with their angles with sum equal to 330 11 (0, 2) 2 B1 for each 12 x < 4 1 13 256 1 14 Positive None oe 2 B1 for each 15 –5 and +5 2 B1 for each If 0 scored, M1 for x2 = 25 or x = √25 16 120 2 M1 for 300 –180 or M1 360 – 300 or better

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Partial Marks 17(a) y = 6 Final answer 1 17(b) y = 2x Final answer 2 M1 for [gradient = ] 6 3 oe 18 [x =] 5 [y =] –2 2 B1 for each If 0 scored, SC1 for correct substitution and evaluation to find other variable 19(a) 1 19(b) 2 7 1 20 5 2     −   2 B1 for 2 k     −   or 5 k    21 f(x + 2) 1