Cambridge IGCSE Mathematics - International 0607 — 2016 Oct/Nov Paper 1 · Variant 3

This document consists of 8 printed pages. IB16 11_0607_13/FP © UCLES 2016 [Turn over *7748862035* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) 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.

2 © UCLES 2016 0607/13/O/N/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 0607/13/O/N/16 [Turn over Answer all the questions. 1 Here is a list of numbers. 2 3 4 5 6 From this list, write down (a) the factors of 18, [1] (b) the square number, [1] (c) a prime number. [1] 2 Write 0.03 as a fraction. [1] 3 A movie is 2 hours 40 minutes long. It starts at 10 40. At what time does it finish? [1] 4 Work out. (a) 20 – 8 × 2 [1] (b) 2 × 20 – 8 [1]

4 © UCLES 2016 0607/13/O/N/16 5 The table shows the number of books borrowed each day from a library during one week. Day Monday Tuesday Wednesday Thursday Friday Saturday Number of books 436 297 735 626 920 1297 (a) On which day was the fewest number of books borrowed? [1] (b) Find the range of the number of books borrowed. [1] 6 Complete the mapping diagram. 3 _ 2 6 9 12 5 17 26 35 [1] 7 (a) Write 0.08219 correct to 3 decimal places. [1] (b) Write 60 952 correct to 3 significant figures. [1] 8 Write down the next two numbers in this sequence. 19, 14, 9, 4, , [2]

5 © UCLES 2016 0607/13/O/N/16 [Turn over 9 NOT TO SCALE 20 cm 6 cm The rectangle is enlarged by a scale factor of 4. Write down the size of the enlarged rectangle. Length cm Width cm [2] 10 North A B Measure the bearing of A from B. [1] 11 Write down the equation of a line parallel to y = 3x + 5. [1] 12 Find the area of a circle of diameter 12 cm. Give your answer in terms of π. cm2 [2]

6 © UCLES 2016 0607/13/O/N/16 13 The area of a floor is 25 m2. Jenny thinks this is the same as 2 500 cm2. Is Jenny correct? Explain your answer. because [1] 14 The exterior angle of a regular polygon is 40°. Find the number of sides of this polygon. [2] 15 B A C 30° NOT TO SCALE AB is the diameter of the circle and C is a point on the circumference. Work out the size of angle ABC. Angle ABC = [2] 16 (a) Simplify. (i) 30 × 6 [1] (ii) 3 3 1       [1] (b) Find the value of n when 2n+1 = 16 . [1]

7 © UCLES 2016 0607/13/O/N/16 [Turn over 17 Twenty students in a class each solve a puzzle. The time taken, t minutes, by each student to solve the puzzle is shown in the table. (a) Complete the table. [1] (b) Find an estimate for the mean time taken to solve the puzzle. min [3] 18 (a) Complete the statement using one of the symbols < , = or > . 7 4 [1] (b) Write down the largest integer value, x, such that (i) x –3, [1] (ii) 2x < 11. [1] 19 Describe the single transformation that maps the graph of y = x2 onto the graph of y = x2 – 2 . [2] Question 20 is printed on the next page. Time (minutes) Number of students Midpoint 0 < t 2 1 2 < t 4 6 4 < t 6 6 6 < t 8 6 8 < t 10 1 Total 20

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 0607/13/O/N/16 20 The table shows the maximum daily temperature, x ° C, and the daily income, $y, of an ice cream salesman. Temperature (x ° C) 25 18 30 20 25 20 22 28 15 Income ($y) 400 300 500 350 450 400 450 500 250 (a) Complete the scatter diagram. The first four points have been plotted for you. 12 14 16 18 20 26 24 22 Temperature ( C) 150 200 250 300 350 400 450 500 550 600 10 Income ($) x y 30 28 ° 32 100 [2] (b) Write down the type of correlation shown on the scatter diagram. [1]

® 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 0607/13 Paper 1 (Core) 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 13 © 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 (a) 2, 3, 6 1 (b) 4 cao 1 (c) 2 or 3 or 5 1 2 100 3 1 3 13 20 or 1 20 pm 1 4 (a) 4 1 (b) 32 1 5 (a) Tuesday 1 (b) 1000 1 6 –10 1 7 (a) 0.082 1 (b) 61 000 1 8 – 1, – 6 2 B1 FT (their –1) – 5 9 80 24 1 1 10 324 1 11 y = 3x + c , c ≠ 5 1 12 36π 2 M1 for 6 × 6 × π oe 13 No [because] 25 m2 = 25 × 10 000 cm2 oe 1 Must say no to score; 14 9 2 M1 360 ÷ 40 oe

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 13 © UCLES 2016 Question Answer Mark Part marks 15 60 2 B1 for 90° seen for angle ACB soi 16 (a) (i) 6 1 (ii) 27 1 1 (b) 3 1 17 (a) 1, 3, 5, 7, 9 1 (b) 5 nfww 3 M1 for ‘fx’ seen as (1 × 1) + (3 × 6) … (FT their midpoints), at least 3 seen and M1 dep for their total for ‘fx’ / 20. 18 (a) > 1 (b) (i) –3 1 (ii) 5 1 19 Translation 0 2     −   1 1 20 (a) 5 points correct 2 B1 for 3 or 4 points correct (b) Positive 1