Cambridge IGCSE Mathematics - International 0607 — 2016 Oct/Nov Paper 2 · Variant 3

This document consists of 8 printed pages. DC (NH/SW) 117016/2 © UCLES 2016 [Turn over * 1 4 4 1 5 4 4 9 3 8 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/23 Paper 2 (Extended) October/November 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. Cambridge International Examinations Cambridge International General Certificate of Secondary Education

2 0607/23/O/N/16 © UCLES 2016 Formula List For the equation ax bx c 0 2 + + = x a b b ac 2 4 2 ! = - - Curved surface area, A, of cylinder of radius r, height h. r A rh 2 = Curved surface area, A, of cone of radius r, sloping edge l. r A rl = Curved surface area, A, of sphere of radius r. r A r 4 2 = Volume, V, of pyramid, base area A, height h. V Ah 3 1 = Volume, V, of cylinder of radius r, height h. r V r h 2 = Volume, V, of cone of radius r, height h. r V r h 3 1 2 = Volume, V, of sphere of radius r. r V r 3 4 3 = sin sin sin A a B b C c = = cos a b c bc A 2 2 2 2 = + - sin bc A 2 1 Area = A C B c b a

3 0607/23/O/N/16 © UCLES 2016 [Turn over Answer all the questions. 1 Here are the first four terms of a sequence. 11 8 5 2 Write down the next term of the sequence. … [1] 2 Use the formula 2 A h x y = + ^ h to find the value of A when x = 7, y = 13 and h = 6.4 . A = … [2] 3 Work out. (a) (0.2)3 … [1] (b) 7 3 5 4 ' … [2] 4 2x° 2x° 60° NOT TO SCALE x° x° The diagram shows a pentagon. Find the value of x. x = … [3]

4 0607/23/O/N/16 © UCLES 2016 5 Triangle B is the image of triangle A after a reflection. Triangle C is the image of triangle B after an enlargement, scale factor 2. Triangle D is the image of triangle C after a rotation. Triangle E is the image of triangle D after a stretch, factor 3. Complete this table. Write C if the triangles are congruent. Write S if the triangles are similar. Write N if the triangles are neither congruent nor similar. Triangles C, S or N A and B A and C B and D D and E [3] 6 The table shows the numbers of pets owned by each of 100 families. Number of pets Frequency 0 23 1 37 2 25 3 10 4 5 (a) Write down the range. … [1] (b) Find the median. … [1] (c) Work out the mean. … [2]

5 0607/23/O/N/16 © UCLES 2016 [Turn over 7 Solve the simultaneous equations. 4x – 3y = 12 6x – y = 11 x = … y = … [3] 8 Jakob draws a scatter diagram which shows that two quantities, x and y, are correlated. He calculates the equation of the regression line as y = 32 – 1.5x. (a) What type of correlation is there between x and y? … [1] (b) The mean of the y values is 14. Find the mean of the x values. … [2]

6 0607/23/O/N/16 © UCLES 2016 9 75° 40° NOT TO SCALE A B C D E P A, B, C, D and E are points on a circle. CE and AD intersect at P. Angle DCP = 40° and angle CPD = 75°. Find (a) angle DAE, Angle DAE = … [1] (b) angle ABC. Angle ABC= … [2] 10 (a) Find log5 25. … [1] (b) 2 log 3 – log 5 = log p Find p. p = … [2]

7 0607/23/O/N/16 © UCLES 2016 [Turn over 11 Solve. 4x + 2 > 3(2x – 4) … [3] 12 NOT TO SCALE A P Q O c a B C OABC is a parallelogram. P is the midpoint of CB. CQ : QA = 5 : 3. OA = a and OC = c. Find these vectors in terms of a and/or c, giving your answers in their simplest form. (a) CP … [1] (b) OQ … [3] Question 13 is printed on the next page.

8 0607/23/O/N/16 © UCLES 2016 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. 13 Simplify. (a) 2 12 … [2] (b) 5 2 3 2 - ^ h … [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 0607/23 Paper 2 (Extended) October/November 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 October/November 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 – October/November 2016 0607 23 © UCLES 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 Mark Part Marks 1 –1 1 2 64 2 B1 for 20 soi by 10 3 (a) 0.008 1 (b) 28 15 2 M1 for 7 3 × 4 5 4 80 3 M1 for (5 – 2)180 oe M1 for 6x + 60 = their 540 or better 5 C, S, S, N 3 B2 for 3 correct or B1 for 2 correct 6 (a) 4 1 (b) 1 1 (c) 1.37 2 M1 for Σxf soi by 137 7 [x =] 1 1 , 2 [y =] –2 3 M1 for correctly eliminating one variable A1 for either If 0 scored, SC1 for 2 values that satisfy one of the original equations 8 (a) Negative 1 (b) 12 2 M1 for 14 = 32 – 1.5x 9 (a) 40 1 (b) 115 2 B1 for ∠AEC or ∠ADC = 65 10 (a) 2 1 (b) 1.8 oe 2 M1 for log 32 or log 5 a

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 23 © UCLES 2016 Question Answer Mark Part Marks 11 x < 7 3 M2 for 2 + 12 > 6x – 4x oe or B1 for 6x –12 If 0 scored, SC1 for ‘correct’ solution after incorrect expansion 12 (a) 1 2 a 1 (b) 5 3 8 8 + a c or 5 3 8 + a c 3 B1 for AC = –c + a or CA = –a + c M1 for OQ = OC + 5 8 CA oe 13 (a) 6 2 2 M1 for × 2 2 or B1 for 72 (b) 37 – 20 3 3 B2 for a – 20 3 or 37 – b 3 or M1 for 25 – 10 3 – 10 3 + (2 3 )2