Cambridge IGCSE Mathematics - International 0607 — 2019 May/June Paper 1 · Variant 2

This document consists of 11 printed pages and 1 blank page. IB19 06_0607_12/3RP © UCLES 2019 [Turn over  Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 0607/12/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 0607/12/M/J/19 [Turn over Answer all the questions. 1 Write 123.456 correct to the nearest 10. [1] 2 Work out how many days there are in 5 weeks. days [1] 3 Find 10% of 300. [1] 4 Draw all the lines of symmetry on the diagram. [2]

4 © UCLES 2019 0607/12/M/J/19 5 –2 –1 0 1 2 3 1 2 3 x 4 –3 –2 –1 5 4 5 –3 – 4 –5 –5 – 4 y On the grid, plot and label the points A (– 4, 3) and B (5, –2). [2] 6 Complete the statement. An angle that is more than 180 but is less than 360 is called [1] 7 12 cm 12 cm 3 cm 3 cm NOT TO SCALE A square of side 3 cm is removed from the corner of a square of side 12 cm. Find the area of the remaining shape. cm2 [2]

5 © UCLES 2019 0607/12/M/J/19 [Turn over 8 P = R + 5T Find the value of P when R = 7 and T = 6. P = [2] 9 North A B The diagram shows two towns, A and B, on a map. Measure the bearing of B from A. [1] 10 Complete the mapping diagram. 1 2 3 5 2 8 18 98 x f(x) [2]

6 © UCLES 2019 0607/12/M/J/19 11 x A y O x B y O x C y O x D y O The diagrams A, B, C and D each show the graph of a straight line. Write down the letter of the diagram which shows the line (a) x = 3, [1] (b) y = 2x – 1. [1]

7 © UCLES 2019 0607/12/M/J/19 [Turn over 12 A circle has radius 3.5 cm. Find the circumference of the circle. Leave your answer in terms of π. cm [2] 13 x y 0 −1 −2 −3 −4 −5 −6 −7 −8 1 2 3 4 2 3 1 4 5 −1 −2 −3 −4 −5 The diagram shows the graph of a function that has two asymptotes. The equation of one asymptote is y = 0. On the diagram, draw the other asymptote. [1]

8 © UCLES 2019 0607/12/M/J/19 14 Factorise 4p – 14. [1] 15 f(x) = 3 1 x2 Find f(–6). [1] 16 10 m x m NOT TO SCALE 40° sin 40° cos 40° tan 40° 0.643 0.766 0.839 Use the information to work out the value of x. x = [2]

9 © UCLES 2019 0607/12/M/J/19 [Turn over 17 The marks of 200 students in a mathematics test are recorded in the table below. Mark (x) 0 < x ≤ 20 20 < x ≤ 30 30 < x ≤ 40 40 < x ≤ 50 50 < x ≤ 60 60 < x ≤ 80 80 < x ≤ 100 Frequency 15 21 35 40 36 28 25 Complete the following cumulative frequency table. Mark (x) x ≤ 20 x ≤ 30 x ≤ 40 x ≤ 50 x ≤ 60 x ≤ 80 x ≤ 100 Cumulative frequency 200 [2] 18 A bag contains 5 red balls and 3 green balls. Two balls are chosen at random. Complete the diagram. Red Green Red Green Red Green 7 3 7 5 8 5 First ball Second ball [2]

10 © UCLES 2019 0607/12/M/J/19 19 Solve the simultaneous equations. 5x + 2y = 1 2x + 3y = 7 x = y = [4] 20 The interior angle of a regular polygon is 160. Find the number of sides of the polygon. [3]

11 © UCLES 2019 0607/12/M/J/19 21 U = {x | 3 ≤ x ≤ 10, where x is an integer} A = {x | x is a multiple of 3 or 5} B = {x | 3x + 2 < 20} (a) List the members of set B. { } [2] (b) Complete the Venn diagram. A B 10 7 [2] (c) List the members of A  B. { } [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 0607/12/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 0607/12 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.

0607/12 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.

0607/12 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 Question Answer Marks Part marks 1 120 1 2 35 1 3 30 1 4 2 B1 for each line or B1 for both correct and one incorrect line 5 Correct points 2 B1 for each 6 reflex 1 7 135 2 M1 for 12 × 12 or 3 × 3 or better 8 37 2 M1 for 7 + 5 × 6 or better 9 125 1

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Part marks 10 50 and 7 in correct positions 2 B1 for each in correct position 11(a) A 1 11(b) D 1 12 7π 2 M1 for 3.5 × 2 [× π] 13 x = −3, ruled 1 14 2(2p – 7) 1 15 12 1 16 7.66 2 M1 cos 40 = 10 x or better or 10 × 0.766 17 15, 36, 71, 111, 147, 175 2 B1 for 15 and two further values correct or M1 FT for 15 and five values with maximum one addition error followed through correctly 18 4 7 3 8 2 7 2 B1 for any two correct 19 [x =] −1 [y =] 3 4 M1 for correctly equating one set of coefficients M1 for correct method to eliminate one variable A1 for [x =] −1 A1 for [y =] 3 If 0 scored, SC2 for 2 correct values with no working or incorrect method or SC1 for correct substitution and evaluation to find the other variable 20 18 3 M2 for 360 (180 160) − their or M1 for 180 – 160 21(a) 3, 4, 5 2 B1 for 2 correct and no incorrect or 3 correct and one incorrect or M1 for correct first step e.g.3x < 20 – 2 or better

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Part marks 21(b) 2 B1 for 3 numbers in correct position 21(c) 3, 5 1 FT their A and B provided A ∩ B ≠ ∅ A B [7] 8 6 9 4 3 [10] 5