Cambridge IGCSE Mathematics - International 0607 — 2018 Oct/Nov Paper 1 · Variant 3

This document consists of 8 printed pages. IB18 11_0607_13/RP © UCLES 2018 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) October/November 2018 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 2018 0607/13/O/N/18 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 2018 0607/13/O/N/18 [Turn over Answer all the questions. 1 Write the number 51 025 in words. [1] 2 Write down two factors of 12. , [1] 3 Work out. 7 + 14 ÷ 7 – 3 [1] 4 Work out 5% of 100. [1] 5 Paulo and his sister share 35 sweets in the ratio 4 : 3. Paulo keeps the larger share. How many sweets does Paulo keep? [2] 6 Find the value of x. x = [2] 44° NOT TO SCALE x°

4 © UCLES 2018 0607/13/O/N/18 7 continuous cumulative discrete random Wendi is collecting data on apples. Which of the words in the box above describes the following type of data. (a) The number of apples on a tree. [1] (b) The weight of an apple. [1] 8 Here are the test scores of five students. 13 16 14 19 13 (a) Write down the mode. [1] (b) Work out the range. [1] (c) Work out the mean. [2] 9 A biased die is rolled 200 times and the number on the top face is recorded. The results are shown in the table. Number on the top face 1 2 3 4 5 6 Frequency 21 26 19 84 27 23 (a) Write down the relative frequency of rolling a 2. [1] (b) The die is rolled 1000 times. Work out an estimate of the number of times the top face shows 4. [2]

5 © UCLES 2018 0607/13/O/N/18 [Turn over 10 Complete the statement. A quadrilateral with exactly one pair of parallel sides is called a . [1] 11 The volume of this cuboid is 6000 cm 3. The length of the cuboid is 30 cm and the width of the cuboid is 10 cm. Find h, the height of the cuboid. cm [2] 12 Alex starts from point A and walks on a bearing of 030 to point B. He then walks East to point C. Find the bearing of (a) B from C, [1] (b) A from B. [2] h 10 cm 30 cm NOT TO SCALE NOT TO SCALE A B C 30° North North

6 © UCLES 2018 0607/13/O/N/18 13 Find the highest common factor (HCF) of 12 and 30. [1] 14 Write 134.6 in standard form. [1] 15 The nth term of a sequence is n2  3. Write down the first three terms. , , [2] 16 Factorise. x2 – 5x [1] 17 A line has equation 6 2 3   y x . Write the equation of this line in the form c mx y   . y = [2]

7 © UCLES 2018 0607/13/O/N/18 [Turn over 18 U = {x | x is an integer and 1 x < 5} A = {2, 4} (a) Write down the elements of the universal set. { } [1] (b) Write down the elements of the set A. { } [1] 19 The diagram shows the graph of y = f(x). Write down the equations of the two asymptotes. [2] 20 Complete the statement. The graph of y = g(x) is translated by the vector       0 2 onto the graph of y = [1] Questions 21 and 22 are printed on the next page. y x – 4 4 4 3 2 1 –3 –2 –1 1 2 3 –2 –1 0 – 5 – 6 5 6 7 5 8 –3 – 4 –5

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 2018 0607/13/O/N/18 21 Write down the value of (a) sin x°, [1] (b) tan y°. [1] 22 16 cm O 10 cm NOT TO SCALE x The diagram shows a chord of length 16 cm inside a circle centre O, radius 10 cm. Work out the length x. cm [3] 13 mm 12 mm 5 mm x y NOT TO SCALE

This document consists of 5 printed pages. © UCLES 2018 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) October/November 2018 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 2018 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 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.

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 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

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 Page 4 of 5 Question Answer Marks Partial marks 1 Fifty one thousand [and] twenty five 1 2 Any 2 from 1, 2, 3, 4, 6 or 12 1 3 6 1 4 5 1 5 20 2 M1 for 35 4 3 + [× 4] oe soi 5 6 68 2 M1 for ( ) 180 44 2 − 7(a) discrete 1 7(b) continuous 1 8(a) 13 1 8(b) 6 1 8(c) 15 2 B1 for 75 seen or M1 for (13 + 16 + 14 + 19 + 13) ÷ 5 9(a) 26 200 oe 1 9(b) 420 2 M1 for 84 200 × 1000 oe 10 trapezium 1 11 20 2 M1 for 6000 ÷ (10 × 30) oe 12(a) 270 1 12(b) 210 2 B1 for 180 ± 30 or 360 – (180 – 30) 13 6 1 14 1.346 × 102 1 15 –2, 1, 6 2 B1 for 2 correct If 0 scored, SC1 for –3, –2, 1 16 x (x – 5) final answer 1 17 [y =] –1.5 x + 3 2 M1 for y = kx + 3 or y = –1.5 x + k 18(a) 1, 2, 3, 4 1 18(b) 1, 3 1 FT their (a)

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 Page 5 of 5 Question Answer Marks Partial marks 19 y = 0 x = 3 2 B1 for each If 0 scored, SC1for both asymptotes drawn correctly or for x = 0 and y = 3 20 g(x – 2) final answer 1 21(a) 12 13 isw 1 21(b) 5 12 isw 1 22 6 nfww 3 M1 for x = 100 64 − or for 2 2 2 10 8 = + x or better