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

This document consists of 8 printed pages. IB16 11_0607_11/2RP © UCLES 2016 [Turn over *5940164292* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 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 0607/11/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 0607/11/O/N/16 [Turn over Answer all the questions. 1 1 2 y x 1 2 3 5 4 0 –4 –3 –2 –1 –5 3 4 5 –4 –3 –2 –1 –5 –6 6 6 –6 A (a) Write down the co-ordinates of point A. ( , ) [1] (b) Plot the point (4, –2) . Label this point B. [1] 2 NOT TO SCALE 15 cm 8 cm 17 cm Find the perimeter of this triangle. cm [1] 3 Write down all the factors of 35. [2]

4 © UCLES 2016 0607/11/O/N/16 4 Insert one pair of brackets in each of the following statements to make them correct. (a) 6 + 3 × 4 – 12 = 24 [1] (b) 6 + 3 × 4 – 12 = –18 [1] 5 Work out 10 7 of 250. [1] 6 A recipe uses 200 g of rice for 4 people. Work out how much rice this recipe uses for 10 people. g [2] 7 (a) Change 7.2 kilograms into grams. g [1] (b) Change 86 000 cm3 into m3. m3 [1]

5 © UCLES 2016 0607/11/O/N/16 [Turn over 8 The cost, $C, of renting a car for n days is C = 20 + 12n . (a) Find the cost of renting a car for 5 days. $ [1] (b) The cost of renting a car was $104. Find the number of days for which the car was rented. [2] 9 Here are three sets A, B and C. A = {2, 5, 6, 7, 9, 16} B = {5, 6, 7, 9} C = {even integers between 1 and 10} (a) Write down all the possible values for x when ∈ x A and ∉ x B. [1] (b) List the elements of . C A ∩ [1] 10 (a) Expand the brackets. –3 (x – 2) [1] (b) Factorise completely. 6x – 10xy [2]

6 © UCLES 2016 0607/11/O/N/16 11 A line is parallel to y = 3x + 1. It passes through the point (0, 7). Write down the equation of this line in the form y = mx + c. y = [2] 12 1 2 3 4 5 A B 6 –6 –5 –4 –3 –2 –1 0 x y 1 2 3 4 5 6 –6 –5 –4 –3 –2 –1 (a) Reflect triangle A in the line x = –1 . [2] (b) Describe the single transformation that maps triangle A onto triangle B. [3]

7 © UCLES 2016 0607/11/O/N/16 [Turn over 13 The list shows the number of ice creams sold each day by a shop for a 10 day period. 75 62 93 82 109 89 76 87 96 494 (a) Write down whether this type of data is discrete or continuous. Explain your answer. because [2] (b) Write down which of the mean or median is the most suitable average to use for this data. Explain your answer. because [2] 14 Simplify. 3 2 x x + [2] 15 Solve the simultaneous equations. 3x + 4y = 23 6x – 2y = 26 x = y = [3] Question 16 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 2016 0607/11/O/N/16 16 The table shows the mathematics mark, x, and the English mark, y, for each of nine students in a test. Mathematics mark (x) 95 40 30 20 70 60 80 30 25 English mark (y) 40 70 60 80 45 40 45 75 85 (a) Complete the scatter diagram. The first four points have been plotted for you. 10 20 30 40 50 80 70 60 Mathematics mark 0 English mark x y 100 90 40 45 50 55 60 65 70 75 80 85 90 35 [2] (b) Write down the type of correlation shown on the scatter diagram. [1] (c) The mean mathematics mark is 50 and the mean English mark is 60. Using this information, draw the line of best fit on your 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 0607/11 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 11 © 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, 5) 1 (b) Plot at (4, –2) 1 2 40 1 3 1, 5, 7, 35 cao 2 B1 for 5 and 7 and no incorrect factors 4 (a) (6 + 3) × 4 – 12 = 24 1 (b) 6 + 3 × (4 – 12) = –18 1 5 175 1 6 500 2 B1 for 50 or 2.5 seen 7 (a) 7200 1 (b) 0.086 1 8 (a) 80 1 (b) 7 2 M1 for 104 – 20 = 12n or better oe 9 (a) 2, 16 1 (b) 2, 6 1 10 (a) –3x + 6 final answer 1 (b) 2x (3 – 5y) final answer 2 M1 for 2 (3x – 5xy) or x (6 – 10y) 11 [y = ] 3x + 7 2 M1 for 3x + c, c ≠ 1 or for mx + 7, m ≠ 0 12 (a) Correct triangle (–4, 2), (–4, 4), (–5, 4) 2 B1 for reflection in line x = k or y = –1 (b) Rotation 90° clockwise oe [Centre] (0, 0) oe 1 1 1

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2016 0607 11 © UCLES 2016 Question Answer Mark Part marks 13 (a) Discrete The data only takes on integer values oe 1 1 dep Dependent on discrete (b) Median There is one value which is much larger than the others oe 1 1 dep Dependent on median 14 5 6 x 2 B1 for 3 6 x or 2 6 x or common denominator 15 Correct method to eliminate one variable [x =] 5 [y =] 2 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 for no working shown, but 2 correct answers 16 (a) 5 points correct 2 B1 for 3 or 4 points correct (b) negative 1 (c) line with negative gradient passing through mean 1