Cambridge IGCSE Mathematics - International 0607 — 2014 Oct/Nov Paper 1 · Variant 3

This document consists of 10 printed pages and 2 blank pages. IB14 11_0607_13/RP © UCLES 2014 [Turn over *0970045139* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) October/November 2014 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 2014 0607/13/O/N/14 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 2014 0607/13/O/N/14 [Turn over 1 (a) Write twenty thousand two hundred in figures. Answer (a) [1] (b) Work out. 20 – 7 × 2 Answer (b) [1] (c) Complete the following statement. = 6 7 35 [1] 2 The diagram shows a fair spinner in the shape of a regular hexagon. 5 5 5 8 8 7 Which number is the spinner most likely to land on? Answer [1]

4 © UCLES 2014 0607/13/O/N/14 3 The bar chart and the frequency table show the methods of transport used by a group of students, on one day, to travel from home to school. Car 0 2 4 6 8 Frequency Method of transport Bus Walk Method of transport Frequency Car Bus Walk 8 4 (a) Use the frequency table to complete the bar chart. [1] (b) Use the bar chart to complete the frequency table. [1] (c) How many students are in the group? Answer (c) [1] (d) The bus fare for travelling to school is $2. Find the total amount paid by the students who travelled by bus. Answer (d) $ [2]

5 © UCLES 2014 0607/13/O/N/14 [Turn over 4 Measure and write down the size of angle PQR. P Q R Answer [1] 5 A dice was rolled twelve times. These are the scores. 5 1 4 4 2 3 1 1 4 2 5 1 Find (a) the range, Answer (a) [1] (b) the mode, Answer (b) [1] (c) the median. Answer (c) [2]

6 © UCLES 2014 0607/13/O/N/14 6 B A D E C NOT TO SCALE 3 cm 2 cm 6 cm In the diagram AB is parallel to DE. (a) Complete the following. (i) Angle ABC = angle [1] (ii) Angle BAC = angle [1] (iii) Triangle ABC is to triangle EDC because [2] (b) AB = 6 cm, BC = 2 cm and CD = 3 cm. Work out the length of DE. Answer (b) cm [2]

7 © UCLES 2014 0607/13/O/N/14 [Turn over 7 Find the circumference of a circular pond of radius 4 m. Leave your answer in terms of π . Answer m [2] 8 The diagram shows the graph of y = f(x) for –2 Y x Y 2. –4 –3 –2 –1 0 1 2 3 4 –3 –4 –2 –1 1 2 y x On the same diagram, sketch the graph of y = f(x) + 2. [2]

8 © UCLES 2014 0607/13/O/N/14 9 An aircraft flies for 2 hours and travels a distance of 1500 km. (a) Work out the speed of the aircraft. Answer (a) km/h [1] (b) Write your answer to part (a) in standard form. Answer (b) [1] 10 (a) Factorise completely. 6pq + 2p Answer (a) [2] (b) Solve the following equation. 4 – 2x = 6 – 5x Answer (b) x = [2]

9 © UCLES 2014 0607/13/O/N/14 [Turn over 11 Some of the students in a language class have visited Spain (S), some have visited France (F), some have visited neither country and some have visited both countries. The Venn diagram below illustrates this. S U F 4 6 4 11 (a) Write down n( )′ ∪F S . Answer (a) [1] (b) Work out the total number of students. Answer (b) [1] One student is chosen at random. (c) What is the probability that a student has been to France but not to Spain? Answer (c) [1] (d) What is the probability that a student has been to France or to Spain or to both countries? Answer (d) [1]

10 © UCLES 2014 0607/13/O/N/14 12 (a) Solve the simultaneous equations. 5x + 3y = 13 3x + 5y = 11 Answer (a) x = y = [4] (b) The cost of buying 5 burgers and 3 drinks is $13. The cost of buying 3 burgers and 5 drinks is $11. Find the cost of buying 2 burgers and 2 drinks. Answer (b) $ [2]

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® IGCSE is the registered trademark of Cambridge International Examinations. CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International General Certificate of Secondary Education MARK SCHEME for the October/November 2014 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core), maximum raw mark 40 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 2014 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 2014 0607 13 © Cambridge International Examinations 2014 1 (a) (b) (c) 20 200 6 30 1 1 1 2 5 1 3 (a) (b) (c) (d) Correct bar drawn (height at 4) 2 14 16 1 1 1 2 M1 2 × 8 4 75 ± 2 1 5 (a) (b) (c) 4 1 2.5 1 1 2 B1 for ordered list seen with at least 7 numbers or 2 and 3 indicated as either side of median 6 (a) (i) (ii) (iii) (b) BDE or CDE AED or CED Similar Alternate angles are equal 9 1 1 1 1 2 M1 for scale factor of 2 3 or 3 2 seen or for 2 3 6× or 3 2 6 ÷ 7 π 8 2 M1 for π × × 4 2 8 Correct sketch 2 M1 for line with general shape that either is correct on and above axis, or starts at (–2, 2), max at (0, 2) and ends at (2, –2) If zero, SC1 for sketch of ( ) f 2 x + 9 (a) (b) 750 2 10 5.7 × 1 1FT FT their (a) if k a 10 × with a and k given, if their (a) < 1 or their (a) ≥10

Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE – October/November 2014 0607 13 © Cambridge International Examinations 2014 10 (a) (b) ( ) 2 3 1 final answer p q + 2 oe 3 2 2 M1 for ( ) p pq + 3 2 or ( ) 2 6 + q p M1 for correct first step of 4 6 2 5 − = −x x oe or better 11 (a) (b) (c) (d) 11 25 4 oe 25 14 oe 25 1 1 1FT 1FT FT their 25 FT their 25 12 (a) (b) [x=] 2, [y=] 1 6 4 2FT M1 for correct multiplication to equate two coefficients and M1 for eliminating one variable and A1 for each correct answer If zero scored, SC1 for pair of values that satisfy one equation M1 for adding their x and their y or 8 burgers + 8 drinks = 24