Cambridge IGCSE Mathematics - International 0607 — 2017 Oct/Nov Paper 1 · Variant 1

This document consists of 8 printed pages. IB17 11_0607_11/3RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 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 0607/11/O/N/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 0607/11/O/N/17 [Turn over Answer all the questions. 1 2 4 8 16 32 48 64 From the list of numbers write down (a) the square of 4, [1] (b) the square root of 64, [1] (c) the cube of 2, [1] (d) the lowest common multiple (LCM) of 16 and 32. [1] 2 Work out. (a) (7 – 3) × 5 [1] (b) 9 – 4 × 2 [1] 3 (a) Write down the next term in the following sequence. 7, 11, 15, 19, 23, … [1] (b) Write down the rule for continuing the following sequence. 3, 8, 13, 18, 23, … [1]

4 © UCLES 2017 0607/11/O/N/17 4 Work out 30  4–2. Give your answer as a fraction. [2] 5 A B C E D (a) Write down the letters of two congruent shapes. and [1] (b) Write down the letters of two shapes which are similar but not congruent. and [1] 6 Draw all the lines of symmetry on this regular hexagon. [2]

5 © UCLES 2017 0607/11/O/N/17 [Turn over 7 When f(x) = x 6 , find (a) f(2), [1] (b) f(–2), [1] (c) f     2 1 . [1] 8 What type of correlation is shown in each scatter diagram? [2] 9 U = {1, 2, 3, 4, 5, 6} A = {2, 4, 6} B = {2, 3, 5, 6} C = {2, 4} Complete the following. (a) B A = { } [1] (b) B′ = { } [1] (c) C B  = { } [1] (d) n( C B  ) = [1]

6 © UCLES 2017 0607/11/O/N/17 10 Find the smallest integer value, x, such that (a) x > –3, [1] (b) 2x > 16. [1] 11 (a) Find the value of 6x + 7y when x = 3 and y = –5. [2] (b) Write down an expression, in terms of x and y, for the total cost of x apples at 70 cents each and y pears at 50 cents each. cents [2] (c) A line has equation 3x + 4y = 12. Write the equation of this line in the form y = mx + c. y = [2] 12 20 m x m NOT TO SCALE 50° sin 50° = 0.766 cos 50° = 0.643 tan 50° = 1.192 Use the information given to work out the value of x. x = [2]

7 © UCLES 2017 0607/11/O/N/17 [Turn over 13 –3 –2 0 1 2 3 1 2 3 4 4 5 –3 –2 –1 5 6 –5 –4 y x –1 Write down the equations of the two asymptotes of the graph. [2] 14 –3 –2 0 1 2 3 1 2 3 4 4 5 –3 –2 –1 5 6 –6 –5 –4 –6 –5 –4 6 y x –1 On the grid, enlarge the shaded triangle with scale factor 2, centre (3, 4). [2] Question 15 is 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 0607/11/O/N/17 15 (a) NOT TO SCALE O C B A The diagram shows a circle centre O. Write down the mathematical word that describes the line (i) OA, [1] (ii) BC. [1] (b) NOT TO SCALE B A C O AB is a diameter of a circle centre O. Write down the size of angle ACB. Angle ACB = [1]

® IGCSE is a registered trademark. This document consists of 4 printed pages. © UCLES 2017 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 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 International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the October/November 2017 series for most Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2017 © UCLES 2017 Page 3 of 4 Question Answer Marks Partial marks 1(a) 16 1 1(b) 8 1 1(c) 8 1 1(d) 32 1 2(a) 20 1 2(b) 1 1 3(a) 27 1 3(b) Add 5 oe 1 4 1 16 2 B1 for 1 × 4–2 or 2 1 4 soi or 30 = 1 if 0 scored SC1 for 0.0625 5(a) A and E 1 5(b) A or E and C 1 6 All 6 lines drawn correctly 2 B1 for any 3 correct lines and no extras 7(a) 3 1 7(b) –3 1 7(c) 12 1 8 Negative None oe 2 B1 for each 9(a) 2, 6 1 9(b) 1, 4 1 9(c) 2, 3, 4, 5, 6 1 9(d) 5 1 FT their (c) 10(a) –2 1 10(b) 9 1 11(a) –17 2 B1 for 18 – 35 11(b) 70x + 50y final answer 2 B1 for either term correct If 0 scored,SC1 for final answer of 0.7x + 0.5y

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2017 © UCLES 2017 Page 4 of 4 Question Answer Marks Partial marks 11(c) 3 [ ] 3 4 = − + y x 2 B1 for –kx + 3 k ≠ 0 or 3 4 − + x c 12 15.32 2 M1 for sin [50 ] = 20 x or 20 × 0.766 13 x = 1 y = 2 2 B1 for each If 0 scored SC1 for asymptotes drawn correctly 14 Correct enlargement with vertices at (–1, 2), (–1, –2), (3, –2). 2 B1 for two correct points If 0 scored SC1 for any enlargement, scale factor 2 of given triangle. 15(a)(i) Radius 1 15(a)(ii) Tangent 1 15(b) 90 1