Cambridge International Examinations Cambridge International General Certificate of Secondary Education. Paper 1 (Core) May/June minutes

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1 * * Cambridge International Eaminations Cambridge International General Certificate of Secondar Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/2 Paper (Core) Ma/June minutes Candidates answer on the Question Paper. Additional Materials: Geometrical Instruments READ THESE INSTRUCTIONS FIRST Write our Centre number, candidate number and name on all the work ou hand in. Write in dark blue or black pen. Do not use staples, paper clips, glue or correction fluid. You ma use an HB pencil for an 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 ou will be given marks for correct methods even if our 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. This document consists of printed pages and blank page. IB5 06_0607_2/5RP UCLES 205 [Turn over

2 2 Formula List Area, A, of triangle, base b, height h. A = 2 bh Area, A, of circle, radius r. A = πr 2 Circumference, C, of circle, radius r. Curved surface area, A, of clinder of radius r, height h. Curved surface area, A, of cone of radius r, sloping edge l. C = 2πr A = 2πrh A = πrl Curved surface area, A, of sphere of radius r. A = 4πr 2 Volume, V, of prism, cross-sectional area A, length l. V =Al Volume, V, of pramid, base area A, height h. V= 3 Ah Volume, V, of clinder of radius r, height h. V = πr 2 h Volume, V, of cone of radius r, height h. V = 3 πr2 h Volume, V, of sphere of radius r. V = 4 3 πr3

3 3 Answer all the questions. Work out. (a) Answer(a) [] (b) 8 (32 4) Answer(b) [] 2 Write down the five factors of 6. Answer [2] 3 Joe bus a magazine for $.50 and a drink for $2.35. How much change does Joe get from $5? Answer $ [2] [Turn over

4 4 (a) Write down the net fraction in this sequence. 4,,,,, Answer(a) [] (b) The nth term of a sequence is n 2 3. Find the first three terms of this sequence. Answer(b),, [2] 5 In the last ten football matches, West Port FC scored the following numbers of goals. Find (a) the range, Answer(a) [] (b) the median, Answer(b) [2] (c) the mean. Answer(c) [2]

5 5 6 (a) 55 NOT TO SCALE 40 p The diagram shows a triangle with one side etended. Work out the size of angle p. Answer(a) [2] (b) NOT TO SCALE q 30 Work out the size of angle q. Give a reason for our answer. Answer(b) q = because [2] [Turn over

6 7 Change 5.6 square centimetres into square millimetres. 6 Answer mm 2 [] 8 Write the following numbers in standard form. (a) 346 Answer(a) [] (b) Answer(b) [] 9 Estimate the answer to the following calculation b rounding each number to significant figure. Show all our working Answer [2]

7 0 Draw the enlargement of the pentagon, centre P, scale factor 3. 7 P [2] Peter is ears old. Jane is 4 ears older than Peter. Write down an epression, in terms of, for Jane s age. Answer [] [Turn over

8 8 2 Make r the subject of this formula. A = 2 4π r Answer r = [2] 3 Solve the following simultaneous equations = = 2 Answer = = [3]

9 (a) On the grid, plot the points A( 3, 3) and B(5, 3). [2] (b) Find the gradient of the line AB. Answer(b) [2] [Turn over

10 0 5 A biased coin is spun two times. The probabilit of the coin showing a head is 5. (a) Complete the tree diagram. 5 Head 5 Head Tail 5 Head Tail Tail [] (b) Find the probabilit of the coin showing a head both times. Answer(b) [2]

11 6 A B C 2 D E F 2 2 Write down the letter of the diagram that shows (a) =, Answer(a) [] (b) = 2 +. Answer(b) []

12 2 BLANK PAGE Permission to reproduce items where third-part owned material protected b copright is included has been sought and cleared where possible. Ever reasonable effort has been made b the publisher (UCLES) to trace copright holders, but if an items requiring clearance have unwittingl been included, the publisher will be pleased to make amends at the earliest possible opportunit. To avoid the issue of disclosure of answer-related information to candidates, all copright acknowledgements are reproduced online in the Cambridge International Eaminations Copright Acknowledgements Booklet. This is produced for each series of eaminations and is freel available to download at after the live eamination series. Cambridge International Eaminations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of Universit of Cambridge Local Eaminations Sndicate (UCLES), which is itself a department of the Universit of Cambridge.

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Eaminations Cambridge International General Certificate of Secondar Education * 1 4 9 5 4 7 5 6 * CAMBRIDGE INTERNATIONAL MATHEMATICS 67/ Paper (Etended) Ma/June 15 45 minutes Candidates