Cambridge IGCSE Mathematics (9-1) (UK only) 0626 — 2018 Oct/Nov Paper 2 · Variant 0

This document consists of 12 printed pages. DC (NH/SG) 153469/2 © UCLES 2018 [Turn over * 8 3 8 4 1 4 4 8 6 5 * MATHEMATICS 0626/02 Paper 2 (Extended) 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 π, 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. Cambridge International Examinations Cambridge International General Certificate of Secondary Education (9–1)

2 0626/02/O/N/18 © UCLES 2018 1 (a) Write 120 as a product of prime factors. … [2] (b) Find the lowest common multiple (LCM) of 120 and 280. … [2] 2 Find an expression for the nth term of this sequence. 11, 15, 19, 23, 27, … … [2]

3 0626/02/O/N/18 © UCLES 2018 [Turn over 3 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] 4 14.1 cm 11.2 cm y cm NOT TO SCALE The diagram shows a right-angled triangle. Calculate the value of y. y = … [3]

4 0626/02/O/N/18 © UCLES 2018 5 1 0 2 3 4 5 6 7 8 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 1 2 3 4 5 S y x Draw the enlargement of shape S with scale factor 2 1 and centre (-4, 0). [2] 6 (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]

5 0626/02/O/N/18 © UCLES 2018 [Turn over 7 Here are the first three patterns in a sequence. Pattern 1 Pattern 2 Pattern 3 (a) Find an expression for the number of dots in pattern n. … [3] (b) Sajid has a box of 800 counters. He uses these counters to make a pattern in this sequence. He makes the largest possible pattern he can. Which pattern number does he make? … [3]

6 0626/02/O/N/18 © UCLES 2018 8 65° Y X B North 75 m NOT TO SCALE 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] 9 In a sale the price of a vacuum cleaner is reduced by 18%. The sale price is £344.40 . Calculate the price of the vacuum cleaner before the sale. £ … [3]

7 0626/02/O/N/18 © UCLES 2018 [Turn over 10 (a) Factorise x 4 9 2 - . … [1] (b) Simplify x x x 2 7 15 4 9 2 2 + - - . … [3] 11 The table shows how the 208 students in Robert’s year group travel to school. Transport Frequency Car 42 Walk 36 Bicycle 23 Bus 107 Robert wants to take a stratified sample of 20 students from his year group. Complete the table below. Transport Number of students in sample Car Walk Bicycle Bus Total 20 [3]

8 0626/02/O/N/18 © UCLES 2018 12 (a) Work out 3 11 4 6 2 7 7 9 - + - - f f p p. f p [1] (b) A 3 1 2 2 0 5 = - f p B 2 1 3 0 1 0 = - f p C 0 1 1 0 1 3 = - e o Alfie is asked to work out A B # , A C # , A B + and A C + . Alfie says that two of these calculations are not possible. Which calculations are not possible? Give a reason for each. … is not possible because … … … is not possible because … … [3]

9 0626/02/O/N/18 © UCLES 2018 [Turn over 13 On 1st January 2010, Erica invested £4000 in an account that pays compound interest at a rate of 2% per year. On 1st January 2015, William invested £4500 in an account that pays compound interest at a rate of x% per year. On 1st January 2020, William’s investment will be worth the same as Erica’s investment. Find the value of x, correct to one decimal place. x = … [5]

10 0626/02/O/N/18 © UCLES 2018 14 1 0 2 3 4 5 6 7 1 2 3 4 5 6 7 y x The diagram shows the graphs of y x 2 3 = - , x y 3 2 12 + = and y 6 = . The region R satisfies these three inequalities. y G 6 y H 2x - 3 3x + 2y H 12 The region R contains the point (a, b) where a and b are both integers. Find the value of a and the value of b that give the maximum value of a b 5 2 - . a = … b = … [4]

11 0626/02/O/N/18 © UCLES 2018 [Turn over 15 ( )x x x 2 f 3 = - - The iteration formula u u 2 1 n n 1 = + + can be used to find a solution of ( )x 0 f = . Starting with u 2 1 = , find this solution correct to 3 significant figures. Write down the result of each of your iterations. … [3] Question 16 is printed on the next page.

12 0626/02/O/N/18 © UCLES 2018 16 140° 16 cm NOT TO SCALE The diagram shows a sector of a circle with radius 16 cm and sector angle 140°. (a) Calculate the area of the sector. …cm2 [2] (b) The isoperimetric quotient is used to measure how much like a circle a shape is. This is how to calculate the isoperimetric quotient. Divide the area of a shape by the area of the circle that has the same perimeter as this shape. Show that the isoperimetric quotient of the sector above is 0.78 correct to 2 significant figures. [4] 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.