Cambridge IGCSE Mathematics - International 0607 — 2017 May/June Paper 1 · Variant 3

This document consists of 8 printed pages. IB17 06_0607_13/4RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) May/June 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 0607/13/M/J/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 0607/13/M/J/17 [Turn over Answer all the questions. 1 3  9 21 36 48 From the list of numbers write down (a) a square number, [1] (b) the irrational number, [1] (c) the prime number, [1] (d) a multiple of 9. [1] 2 Write down two different fractions between 4 1 and 2 1 . , [2] 3 Use a number to complete the statement. The diagram has lines of symmetry. [1]

4 © UCLES 2017 0607/13/M/J/17 4 B A arc chord circumference diameter radius sector segment From the list above select the mathematical name for (a) the line AB, [1] (b) the shaded area. [1] 5 Draw an angle of 164° at A. A [1] 6 C NOT TO SCALE B A P D ABCD is a rectangle. P is the midpoint of BC. (a) Write down the mathematical name of triangle APD. [1] (b) Write down the mathematical name of quadrilateral APCD. [1]

5 © UCLES 2017 0607/13/M/J/17 [Turn over 7 –2 –1 0 1 2 3 –2 –1 4 5 6 P 5 1 2 3 4 x y (a) Write down the co-ordinates of point P. ( , ) [1] (b) Plot and label the point Q (5, 1). [1] 8 A circle has diameter 12 m. Find the area, leaving your answer in terms of π. m2 [1] 9 NOT TO SCALE 8 cm 8 cm 6 cm 6 cm A square of side 2 cm is removed from the corner of a square of side 8 cm. Find the area of the remaining shape. cm2 [2]

6 © UCLES 2017 0607/13/M/J/17 10 x 70° NOT TO SCALE 85° ° Find the value of x. x = [2] 11 Write 4.2 × 104 as an ordinary number. [1] 12 Find the highest common factor (HCF) of 32 and 48. [1] 13 The mass of a lorry is 3 800 000 g. Write this mass in tonnes. tonnes [1] 14 A y = 3x – 2 B 3 + y = 2x C 2y = 6x – 2 D 3x – 2 + y = 0 A, B, C and D are the equations of four straight lines. From the list, find the two straight lines that are parallel. and [2]

7 © UCLES 2017 0607/13/M/J/17 [Turn over 15 Expand the brackets and simplify. 3 (4x – 1) – 2 (x + 3) [2] 16 f(x) = 3x2 + 1 Find the values of x when f(x) = 49. x = and x = [2] 17 Raoul invests $500 for 4 years at a rate of 3% simple interest per year. Find the total interest he receives at the end of the 4 years. $ [2] 18 NOT TO SCALE 5 cm 4 cm 10 cm x cm These two triangles are similar. Find the value of x. x = [2] Questions 19, 20 and 21 are 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 0607/13/M/J/17 19 (a) Complete the statement using one of the symbols < , = or >. –7 … – 4 [1] (b) –2 –1 0 1 2 3 4 5 6 x Write the information shown on the number line as an inequality. [2] 20 –4 –3 –2 –1 0 1 2 3 1 2 3 4 4 y 5 6 7 8 –8 –7 –6 –5 5 6 7 8 A B x Describe fully the single transformation that maps triangle A onto triangle B. [3] 21 Describe the single transformation that maps y = f(x) onto y = f(x + 3). [2]

® IGCSE is a registered trademark. This document consists of 4 printed pages. © UCLES 2017 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) May/June 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 will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the May/June 2017 series for most Cambridge IGCSE®, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 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

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 3 of 4 Question Answer Marks Part marks 1(a) 9 or 36 1 1(b) π 1 1(c) 3 1 1(d) 36 or 9 1 2 Any two correct fractions 2 B1 for each 3 2 1 4(a) Chord 1 4(b) Segment 1 5 Correct angle drawn 1 6(a) Isosceles 1 6(b) Trapezium 1 7(a) (2, 3) 1 7(b) Correct point 1 8 36π cao 1 9 60 nfww 2 M1 for 8 × 8 – 2 × 2 or 8 × 6 + 6 × 2 10 155 2 M1 for 70 + 85 or 180 – 25 11 42 000 1 12 16 1 13 3.8 1 14 A and C 2 M1 for one correct rearrangement of B, C or D into ‘y =’ form or for gradients of B, C and D given 15 10x – 9 Final answer 2 B1 for 10x or –9 in answer or M1 for 12x –3 or –2x – 6 seen 16 4, –4 2 B1 for each or M1 for 3x2 = 48 17 60 2 M1 for 500 × 100 3 [× 4] oe, soi by 15

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 4 of 4 Question Answer Marks Part marks 18 12.5 2 M1 for 4 10 5 = x or for [scale factor=] 2.5 or 0.4 oe 19(a) < 1 19(b) –1 < x ⩽ 4 2 B1 for –1 < x oe and B1 for x ⩽ 4 oe 20 Rotation 90° [anticlockwise] oe [about] origin oe 3 B1 for each 21 Translation      − 0 3 2 B1 for each