Cambridge IGCSE Mathematics - International 0607 — 2016 May/June Paper 1 · Variant 1

This document consists of 8 printed pages. IB16 06_0607_11/4RP © UCLES 2016 [Turn over *7320481266* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2016 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 2016 0607/11/M/J/16 Formula List Area, A, of triangle, base b, height h. A = 1 2 bh Area, A, of circle, radius r. A = πr2 Circumference, C, of circle, radius r. C = 2πr Curved surface area, A, of cylinder of radius r, height h. A = 2πrh Curved surface area, A, of cone of radius r, sloping edge l. A = πrl Curved surface area, A, of sphere of radius r. A = 4πr2 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 = πr2h Volume, V, of cone of radius r, height h. V = 1 3 πr2h Volume, V, of sphere of radius r. V = 4 3 πr3

3 © UCLES 2016 0607/11/M/J/16 [Turn over Answer all the questions. 1 Shade 3 2 of this shape. [1] 2 Draw a sector inside this circle. Draw a chord inside this circle. [2] 3 Write down all the factors of 21. [2]

4 © UCLES 2016 0607/11/M/J/16 4 Work out. (a) 16 + 8 × 4 [1] (b) 16 – 8 ÷ 4 [1] 5 Complete the mapping diagram. 16 11 9 5 2 19 15 7 1 [1] 6 Jenny shares $40 between her two sons in the ratio 3:1. Work out how much each son receives. $ and $ [2]

5 © UCLES 2016 0607/11/M/J/16 [Turn over 7 Tick the shapes that have both line symmetry and rotational symmetry. Rectangle Kite Parallelogram Rhombus Isosceles Triangle [2] 8 The diagram shows a child’s solid building block in the shape of a cuboid 2 cm by 5 cm by 10 cm. 5 cm 10 cm 2 cm Find the total surface area of the cuboid. cm2 [3]

6 © UCLES 2016 0607/11/M/J/16 9 Write down the next two terms in the sequence. 18, 18, 16, 12, 6, … , [2] 10 The Venn diagram shows two sets A and B. U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A U B 4 2 6 8 1 9 3 7 5 (a) Complete the following. (i) A = { } [1] (ii) B′ = { } [1] (iii) A ∩ B = { } [1] (b) What is the mathematical name given to the numbers in set A? [1] (c) Circle the statements which are correct for this Venn diagram. A ∪ B = U 7 ∉ A n(B) = 4 A ∩ B′ = {4} [2]

7 © UCLES 2016 0607/11/M/J/16 [Turn over 11 110° NOT TO SCALE 140° r° 80° Find the value of r. r = [3] 12 A car travels 100 metres in 8 seconds. Find its speed in kilometres per hour. km/h [2] 13 Describe the single transformation that maps y = f(x) onto y = f(x) + 3. [2] 14 An archer hits the target with probability 10 7 . He takes 50 shots at the target. How many times does he expect to hit the target? [1] 15 Write down all the integers that satisfy the following inequality. –3 x < 2 [2] Questions 16 and 17 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 2016 0607/11/M/J/16 16 (a) Factorise. (i) 3x + 6 [1] (ii) p2 + pq [1] (b) Expand the brackets and simplify. x – 3(2x – 7) [2] 17 Solve the following simultaneous equations. 2x + y = 8 3x + 2y = 12 x = y = [3]

® IGCSE is the registered trademark of Cambridge International Examinations. This document consists of 3 printed pages. © UCLES 2016 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2016 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 2016 series for most Cambridge IGCSE®, Cambridge International A and AS Level components and some Cambridge O Level components.

Page 2 Mark Scheme Syllabus Paper Cambridge IGCSE – May/June 2016 0607 11 © Cambridge International Examinations 2016 Abbreviations awrt answers which round to cao correct answer only dep dependent FT follow through after error isw ignore subsequent working oe or equivalent SC Special Case nfww not from wrong working soi seen or implied Question Answer Marks Part marks 1 correct shading 1 2 Sector only correctly drawn. Chord only correctly drawn. 1 1 Do not allow diameter Allow diameter 3 1, 3, 7, 21 cao 2 B1 for 3 and 7 and no others or for 3 factors and no wrong numbers or for all 4 factors and one incorrect 4 (a) 48 1 (b) 14 1 5 29 1 6 30, 10 2 M1 for 40 ÷ 4 or better 7 Rectangle, Rhombus 2 B1 for one correct and only one incorrect or for both correct and only one incorrect 8 160 3 M2 for 2 (2 × 5 + 5 × 10 + 2 × 10) oe or M1 for areas of any two faces 9 –2, –12 2 B1 for –2 as first term in answer If zero scored, SC1 for reverse order 10 (a) (i) {1, 4, 9} 1 (ii) {2, 4, 6, 8} 1 (iii) {1, 9} 1 (b) Square [numbers] 1 (c) 7 ∉ A A ∩ B ′ = {4} 1 1

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – May/June 2016 0607 11 © Cambridge International Examinations 2016 Question Answer Marks Part marks 11 120 3 M2 for 180 × 3 – (90 + 110 + 140 + 80) oe or B1 for 180 × 3 oe and M1 – (90 + 110 + 140 + 80) oe 12 45 2 M1 for 100 1000 or 8 3600 oe If zero scored, SC1 for 100 8 13 Translation 0 3    B1 B1 Accept 3 up or 3 in positive y-direction 14 35 1 15 –3, –2, –1, 0, 1 2 B1 for any 3 or 4 correct in the range –3 to 1 If zero scored, SC1 for –3, –2, –1, 0, 1, 2 16 (a) (i) 3(x + 2) cao final answer 1 (ii) p(p + q) cao final answer 1 (b) 21 – 5x cao final answer 2 M1 for –6x + 21 seen 17 Correct method to eliminate one variable [x =] 4 [y =] 0 M1 A1 A1 Dependant on the coefficients being the same for one of the variables Correct consistent use of addition or subtraction If zero scored, SC1 for correct substitution and evaluation to find other variable, or if no working shown, but 2 correct answers