Cambridge IGCSE Mathematics (9-1) (UK only) 0626 — 2018 Oct/Nov Paper 1 · Variant 0

* 5 7 3 9 5 6 7 0 8 7 * This document consists of 11 printed pages and 1 blank page. DC (RW/CGW) 153468/1 © UCLES 2018 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education (9–1) MATHEMATICS 0626/01 Paper 1 (Core) October/November 2018 1 hour Candidates answer on the Question Paper. Additional Materials: Geometrical instruments Tracing paper (optional) 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. You may use an HB pencil for any diagrams and graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Electronic calculators should be used. If working is required for any question it must be shown below that question. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For r, use either your calculator value or 3.142. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 60. This syllabus is regulated for use in England as a Cambridge International Level 1/Level 2 (9–1) Certificate.

2 0626/01/O/N/18 © UCLES 2018 1 B A The diagram shows a straight line crossing a pair of parallel lines. Tommy says that angle A and angle B are the same size. Write down the geometrical reason for this. … [1] 2 The probability that Tristan scores a goal in a football match is 0.28 . Work out the probability that he does not score a goal in the football match. … [1] 3 A bag contains 9 balls. There are 4 green balls, 2 red balls and 3 purple balls. A ball is taken at random from the bag. Write down the probability that the ball (a) is orange, … [1] (b) is either purple or green. … [1]

3 0626/01/O/N/18 © UCLES 2018 [Turn over 4 25 920 people watch United and City play a football match. • 3 1 of the people support United • 15% of the United supporters are children • 4 3 of the children supporting United are boys Work out how many people at the match are boys supporting United. … [4] 5 Write down (a) a factor of 100 between 21 and 40, … [1] (b) the largest multiple of 11 that is less than 100, … [1] (c) a square number between 70 and 90, … [1] (d) a cube number greater than 100, … [1] (e) a prime number between 70 and 80. … [1]

4 0626/01/O/N/18 © UCLES 2018 6 A book has 432 pages. (a) On average the book has 34 lines on each page and 10 words on each line. Use this information to estimate the total number of words in the book. Give your answer in standard form. … [3] (b) The book is 38 mm thick. The front and back covers are each 3 mm thick. Work out the thickness of one page of the book. …mm [2] 7 Amelia invested £400 for 7 years at a rate of 5% per year simple interest. Calculate the value of Amelia’s investment at the end of the 7 years. £ … [3]

5 0626/01/O/N/18 © UCLES 2018 [Turn over 8 Calculate. . 5 4 5 23 + Give your answer correct to 2 decimal places. … [2] 9 (a) Write down the reciprocal of 4. … [1] (b) Find an irrational number between 10 and 20. … [1] 10 (a) Solve this inequality. x 6 3 9 1 G - … [2] (b) Represent x 5 7 1 G - on the number line. −10 −8 −6 −4 −2 0 2 4 10 6 8 x [2]

6 0626/01/O/N/18 © UCLES 2018 11 On the grid, draw the graph of y x 2 3 = - . 0 1 2 4 −2 −1 3 1 2 3 4 5 6 −1 −2 −3 −4 −5 −6 −7 −8 −9 y x [3]

7 0626/01/O/N/18 © UCLES 2018 [Turn over 12 O The diagram shows a circle centre O. (a) Draw and measure the radius of the circle. … cm [1] (b) Use a protractor to divide the circle into five equal sectors. [2] (c) Calculate the area of the circle. …cm2 [2]

8 0626/01/O/N/18 © UCLES 2018 13 (a) Write 120 as a product of prime factors. … [2] (b) Find the lowest common multiple (LCM) of 120 and 280. … [2] 14 (a) Here are the first four terms of a sequence. 23 17 11 5 Write down the next term of this sequence. … [1] (b) Find an expression for the nth term of this sequence. 11, 15, 19, 23, 27, … … [2]

9 0626/01/O/N/18 © UCLES 2018 [Turn over 15 There are 196 students in Year 11 in Maria’s school. 43 of these students play a musical instrument. (a) Write down the relative frequency of students who play a musical instrument in Year 11. … [1] (b) There are a total of 1120 students in Maria’s school. Use your answer to part (a) to calculate an estimate for the number of students in Maria’s school who play a musical instrument. … [2] (c) Give a reason why your answer to part (b) may not be a good estimate. … … [1] 16 11.2 cm 14.1 cm y cm NOT TO SCALE The diagram shows a right-angled triangle. Calculate the value of y. y = … [3]

10 0626/01/O/N/18 © UCLES 2018 17 1 S 2 3 4 5 6 7 8 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 y x Draw the enlargement of shape S with scale factor 2 1 and centre (-4, 0). [2] 18 (a) Simplify (m3)6. … [1] (b) x y px y x 4 20 q r 3 2 10 # = - Find the values of p, q and r. p = … q = … r = … [3]

11 0626/01/O/N/18 © UCLES 2018 19 NOT TO SCALE North 65° 75 m X Y B The diagram shows the straight path of a swimmer from X to Y and the position of a fixed buoy, B. The swimmer is moving on a bearing of 065°. The swimmer passes 75 metres due south of B. Calculate the shortest distance between the swimmer and B as he swims from X to Y. … m [3]

12 0626/01/O/N/18 © UCLES 2018 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. BLANK PAGE