Cambridge IGCSE Mathematics - International 0607 — 2019 Oct/Nov Paper 1 · Variant 2

This document consists of 11 printed pages and 1 blank page. IB19 11_0607_12/FP © UCLES 2019 [Turn over  Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) October/November 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/O/N/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/O/N/19 [Turn over Answer all the questions. 1 Write down the square root of 36. [1] 2 9 11 15 22 27 33 From the list of numbers write down (a) the triangle number, [1] (b) the even number. [1] 3 Work out 7 4 of 42. [1] 4 Insert one pair of brackets to make this statement correct. 3 − 2 × 5 + 1 = 6 [1] 5 x Measure angle x. [1]

4 © UCLES 2019 0607/12/O/N/19 6 A B D C Complete the statements. Diagram shows perpendicular lines. Diagram shows a reflex angle. [2] 7 Find the perimeter of this rectangle. cm [1] 4 cm 12 cm NOT TO SCALE

5 © UCLES 2019 0607/12/O/N/19 [Turn over 8 (a) Complete the diagram above so that the dotted line is a line of symmetry. [1] (b) A 1 y x 0 2 3 B 2 –1 3 1 –1 –2 – 4 –3 4 (i) On the grid, plot and label the point C(3, 1). Join the points to form triangle ABC. [1] (ii) A shape is made from two congruent triangles ABC and ABD. The shape has rotational symmetry of order 2 and no lines of symmetry. On the grid draw triangle ABD. [1]

6 © UCLES 2019 0607/12/O/N/19 9 Look at this train timetable. Bunley 08 35 09 00 09 05 09 35 10 05 10 35 11 00 11 35 Alton 08 51 09 51 10 51 11 51 Sidcot 09 19 09 44 09 30 10 19 11 19 11 44 12 19 Bilham 09 59 10 59 11 59 12 59 Tim Spa 10 22 10 56 11 30 12 22 12 36 13 22 Trickway 10 35 11 11 12 35 12 49 13 35 Wester 11 25 12 14 13 30 14 04 (a) A train goes from Bunley to Tim Spa without stopping. Write down the time this train leaves Bunley. [1] (b) Find which train takes the longest time to travel from Bunley to Wester. [2] 10 NOT TO SCALE x° 45° 115° D A B C The diagram shows a triangle ABC and a straight line BD. Find the size of angle x. x = [2]

7 © UCLES 2019 0607/12/O/N/19 [Turn over 11 Change 45 g into kilograms. kg [1] 12 Simplify. 4m + m  3m [1] 13 A = {x  x is a factor of 30 and x 10} List the elements of set A. { } [2] 14 These are the marks of 11 students in a mathematics test. 23 43 17 8 21 23 41 6 15 11 34 Draw an ordered stem and leaf diagram for these marks. Draw an ordered stem and leaf diagram for these marks. Key ǀ represents [3]

8 © UCLES 2019 0607/12/O/N/19 15 A cyclist travels 120 km in 6 hours. Calculate his average speed. km / h [1] 16 43 = 64 Find the value of 44. [1] 17 Factorise 2x2 + 5x. [1] 18 Put a ring around the correct expression for the distance x. 30 tan 37 30 sin 53 30 cos 53 30 cos 37 [1] NOT TO SCALE 30 cm x cm 53° 37°

9 © UCLES 2019 0607/12/O/N/19 [Turn over 19 NOT TO SCALE 7 cm 30 cm The diagram shows a pyramid with vertical height 30 cm. The horizontal base of the pyramid is a square with side 7 cm. Work out the volume of the pyramid. cm3 [3] 20 The bearing of Town X from Town Y is 045°. Find the bearing of Town Y from Town X. [2] 21 f(x) = (x + 2)(x – 1) Work out f(5). [1]

10 © UCLES 2019 0607/12/O/N/19 22 y x – 4 4 4 3 2 1 –3 –2 3 –3 –2 –1 0 1 2 A C S – 5 5 5 – 4 – 5 – 4 –3 –2 –1 –1 (a) On the grid, draw the image of shape A after an enlargement by scale factor 2 about centre C. [2] (b) Shape S is the image of a shape after a translation by the vector       3 2 . On the grid, draw the original shape. [2]

11 © UCLES 2019 0607/12/O/N/19 23 The cumulative frequency table shows the marks, x, of 100 students in a science test. Mark (x) Cumulative Frequency 0 < x ≤ 20 18 0 < x ≤ 40 54 0 < x ≤ 60 78 0 < x ≤ 80 100 On the grid, draw a cumulative frequency curve to show this information. x Mark 20 40 80 60 20 40 60 80 100 0 Cumulative frequency [2]

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/O/N/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) October/November 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 October/November 2019 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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 October/November 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

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 4 of 5 Question Answer M Part marks 1 6 1 2(a) 15 1 2(b) 22 1 3 24 1 4 (3 – 2) × 5 + 1 = 6 1 5 140 1 6 B D 2 B1 for each 7 32 1 8(a) 1 8(b)(i) 1 8(b)(ii) 1 FT their point C 9(a) 10 05 1 9(b) 09 35 2 M1 for 2h 25 min or 2h 39 min or 2h 30 min or 2h 29 min seen 10 70 2 M1 for 180 – 115 11 [0].045 1 12 2 m 1 13 1, 2, 3, 5, 6, 10 2 B1 for 4 correct factors and no incorrect A 1 y x 0 2 3 B 2 –1 3 1 –1 –2 –4 –3 4 C 1

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 5 of 5 Question Answer M Part marks 14 0 6 8 1 1 5 7 2 1 3 3 3 4 4 1 3 e.g. Key 1 5 represents 15 3 B2 for all 11 correct and ordered data or B1 for 8, 9 or 10 correct data or for all correct but not ordered B1 for a correct example for the key 15 20 1 16 256 1 17 x(2x + 5) Final answer 1 18 30cos53° 1 19 490 3 M2 for 3 1 × (7 × 7) × 30 or B1 for [base area = ] 49 soi 20 225 2 M1 for 180 + 45 or a correct diagram showing correct bearing If 0 scored SC1 for answer south west 21 28 1 22(a) Correct image with vertices (1, –1), (1, 3), (3, 1) and (3, –1) 2 B1 for an enlargement by scale factor 2 about any centre or enlargement by scale factor k about centre C. 22(b) Correct square with vertices (– 4, –2), (– 4, –1), (–3, –1), (–3, –2) 2 B1 for image after translation by 2 or 3 q p −         −     23 Correct curve 2 B1 for correct points plotted or B1 for smooth increasing curve through their points