Cambridge IGCSE Mathematics - International 0607 — 2011 Oct/Nov Paper 1 · Variant 1

This document consists of 8 printed pages. IB11 11_0607_01/3RP © UCLES 2011 [Turn over *0759742191* For Examiner's Use UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/01 Paper 1 (Core) October/November 2011 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, highlighters, glue or correction fluid. You may use a 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. www.XtremePapers.com

2 © UCLES 2011 0607/01/O/N/11 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 2011 0607/01/O/N/11 [Turn over For Examiner's Use Answer all the questions. 1 Write down the next term in the following sequence. 0, 3, 8, 15, 24, ... Answer [1] 2 A football stadium holds 62 700 spectators. (a) Write 62 700 in standard form. Answer(a) [1] (b) Write 62 700 correct to the nearest thousand. Answer(b) [1] 3 (a) Complete the list of factors of 45. Answer(a) 1, , , , , 45 [2] (b) Find the highest common factor of 36 and 45. Answer(b) [1] 4 (a) Work out. (i) 23 Answer(a)(i) [1] (ii) 2(3 + 4) – 5 Answer(a)(ii) [1] (b) x = 4 Find the value of x. Answer(b) x = [1]

4 © UCLES 2011 0607/01/O/N/11 For Examiner's Use 5 U A B q r p s t u The elements p, q, r, s, t and u are shown in the Venn diagram. Complete the following. (a) A ∩ B = { } [1] (b) A' = { } [1] (c) n ( A ∪ B ) = [1] 6 The graph of 8 y x = is drawn below. –1 –2 –3 –4 –5 –6 –7 –8 8 7 6 5 4 3 2 1 0 y x 8 7 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 –7 –8 On the grid, draw the two lines of symmetry of the graph. [2]

5 © UCLES 2011 0607/01/O/N/11 [Turn over For Examiner's Use 7 The stem and leaf diagram shows the heights of 14 plants. 0 7 8 8 9 1 1 3 6 7 9 2 0 1 2 3 2 4 Key 1 3 means 13 cm (a) Find the median. Answer(a) cm [2] (b) Find the interquartile range. Answer(b) cm [2] 8 Simplify. (a) 2 3 4 x x − Answer(a) [2] (b) 2c2 × 3c3 Answer(b) [2] (c) 5 2 6 2 x x Answer(c) [2]

6 © UCLES 2011 0607/01/O/N/11 For Examiner's Use 9 (a) Find the sum of the interior angles of a hexagon. Answer(a) [1] (b) A hexagon has 4 angles of 100° each and 2 angles of x° each. 100° 100° 100° 100° x° x° NOT TO SCALE Find the value of x. Answer(b) x = [2] 10 = 6 2    and = 1 4    where O is the point (0, 0). (a) On the grid, plot the points A and C. [2] (b) OABC is a parallelogram. (i) On the grid, draw this parallelogram. [1] (ii) Write down the co-ordinates of the point B. Answer(b)(ii) ( , ) [1] 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x y

7 © UCLES 2011 0607/01/O/N/11 [Turn over For Examiner's Use 11 A straight line joins the points A(1, 2) and B(3, 8). (a) Find the co-ordinates of the midpoint of the line AB. Answer(a) ( , ) [2] (b) Find the gradient of the line AB. Answer(b) [2] (c) Find the equation of the line AB. Answer(c) [3] Question 12 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. University of 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 2011 0607/01/O/N/11 For Examiner's Use 12 6 cm 1 cm 3 cm B C A D E NOT TO SCALE In the diagram DE is parallel to BC. AE = 3 cm, EC = 1 cm and BC = 6 cm. Find the length of DE. Answer cm [2]