Cambridge IGCSE Mathematics (9-1) 0980 — 2019 Oct/Nov Paper 1 · Variant 1

This document consists of 10 printed pages and 2 blank pages. DC (LK/TP) 188085 © UCLES 2019 [Turn over * 7 3 5 7 5 2 8 6 5 0 * MATHEMATICS 0980/11 Paper 1 (Core) October/November 2019 1 hour Candidates answer on the Question Paper. Additional Materials: Electronic calculator 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 or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. 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 56. Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1)

2 0980/11/O/N/19 © UCLES 2019 1 Change 4.6 metres to centimetres. … cm [1] 2 Write down the order of rotational symmetry of this regular pentagon. … [1] 3 Work out 5% of $25. $ … [1] 4 Factorise 5p + pt. … [1] 5 Rui has a bag containing 5 black pens, 8 red pens and 3 blue pens only. He takes a pen out of the bag at random. Draw an arrow ( . ) on the probability scale to show the probability that Rui takes (a) a red pen, 0 1 [1] (b) a red pen or a blue pen. 0 1 [1]

3 0980/11/O/N/19 © UCLES 2019 [Turn over 6 (a) Write 8473 correct to the nearest ten. … [1] (b) Write 16.086 correct to 2 decimal places. … [1] 7 Write these in order of size, starting with the smallest. 19 9 7 3 37% 0.43 … 1 … 1 … 1 … [2] smallest 8 The diagram shows the base of a triangle. The lengths of the other two sides are 6 cm and 4 cm. Using a ruler and compasses only, construct the other two sides of the triangle. Show all your construction arcs. [2]

4 0980/11/O/N/19 © UCLES 2019 9 Calculate. . . . . 4 2 16 379 0 879 1 241 # - Give your answer correct to 2 significant figures. … [2] 10 Share 518 in the ratio 2 : 5. … , … [2] 11 Write 15 060 (a) in words, … [1] (b) in standard form. … [1] 12 Simplify c d d c 5 3 2 - - - . … [2]

5 0980/11/O/N/19 © UCLES 2019 [Turn over 13 Calculate the area of a circle with radius 12 cm. … cm2 [2] 14 Levante changes 24 650 Hungarian forints to dollars. The exchange rate is $1 = 290 forints. Calculate how many dollars Levante receives. $ … [2] 15 Paula invests $600 at a rate of r % per year simple interest. At the end of 10 years, the total interest earned is $90. Find the value of r. r = … [2]

6 0980/11/O/N/19 © UCLES 2019 16 Without using a calculator, work out 16 5 1 7 1 # . You must show all your working and give your answer as a fraction in its simplest form. … [2] 17 Simplify x x 2 3 3 2 # . … [2] 18 Complete the table. Fraction Decimal Percentage 4 3 = 0.75 = = 0.2 = 20% 25 2 = = 8% [3]

7 0980/11/O/N/19 © UCLES 2019 [Turn over 19 27 14 8 93 32 55 14 38 73 47 From this list of numbers find (a) the median, … [2] (b) the range. … [1] 20 Juan travels from his home to a shop. The travel graph shows his journey. Distance (km) 0 6 12 18 14 00 13 00 15 00 16 00 Time Home Shop (a) Find the distance Juan travels to the shop. … km [1] (b) Write down what happens at 14 00. … [1] (c) Juan travels home at a constant speed of 15 km/h. He leaves the shop at 15 15. Complete the travel graph. [1]

8 0980/11/O/N/19 © UCLES 2019 21 x cm 43° 12 cm NOT TO SCALE Use trigonometry to calculate the value of x. x = … [3] 22 Solve. (a) ( ) w 8 11 120 + = w = … [2] (b) x 3 2 3 - = x = … [2]

9 0980/11/O/N/19 © UCLES 2019 [Turn over 23 Solve the simultaneous equations. You must show all your working. x y x y 5 4 10 7 6 43 + = - = x = … y = … [4]

10 0980/11/O/N/19 © UCLES 2019 24 (a) Complete the table of values for y x 8 = . x -5 -4 -3 -2 -1 1 2 3 4 5 y -2 -2.7 -4 -8 8 4 2.7 [2] (b) On the grid, draw the graph of y x 8 = for x 5 1 G G - - and x 1 5 G G . y x -8 -7 -6 -5 -4 -3 -2 -1 2 1 3 4 5 6 7 8 1 -1 -2 -3 -4 -5 2 3 4 5 0 [4]

11 0980/11/O/N/19 © UCLES 2019 BLANK PAGE

12 0980/11/O/N/19 © UCLES 2019 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 Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. BLANK PAGE

This document consists of 5 printed pages. © UCLES 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1) MATHEMATICS 0980/11 Paper 1 (Core) October/November 2019 MARK SCHEME Maximum Mark: 56 Published 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 International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the October/November 2019 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 2 of 5 Generic Marking Principles These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptors for a question. Each question paper and mark scheme will also comply with these marking principles. GENERIC MARKING PRINCIPLE 1: Marks must be awarded in line with: • the specific content of the mark scheme or the generic level descriptors for the question • the specific skills defined in the mark scheme or in the generic level descriptors for the question • the standard of response required by a candidate as exemplified by the standardisation scripts. GENERIC MARKING PRINCIPLE 2: Marks awarded are always whole marks (not half marks, or other fractions). GENERIC MARKING PRINCIPLE 3: Marks must be awarded positively: • marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate • marks are awarded when candidates clearly demonstrate what they know and can do • marks are not deducted for errors • marks are not deducted for omissions • answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be unambiguous. GENERIC MARKING PRINCIPLE 4: Rules must be applied consistently e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors. GENERIC MARKING PRINCIPLE 5: Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen). GENERIC MARKING PRINCIPLE 6: Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in mind.

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 3 of 5 Abbreviations cao – correct answer only dep – dependent FT – follow through after error isw – ignore subsequent working oe – or equivalent SC – Special Case nfww – not from wrong working soi – seen or implied Question Answer Marks Partial Marks 1 460 1 2 5 1 3 1.25 1 4 p(5 + t) final answer 1 5(a) Arrow at 1 2 1 5(b) Arrow at 11 16 1 6(a) 8470 cao 1 6(b) 16.09 cao 1 7 37% 3 7 0.43 9 19 2 B1 for 3 in correct order as answer or M1 for two of 0.47... 0.42... 0.37 8 Correct triangle with sides 6 cm and 4 cm and correct arcs 2 B1 for correct triangle with no or incorrect arcs or correct arcs with no or inaccurate sides drawn 9 4.6 cao nfww 2 B1 for 4.57 or 4.58 or 4.579 to 4.580 If 0 scored, SC1 for their calculation rounded to 2 sf if more than 2sf seen 10 148 370 2 M1 for 518 ÷ (2 + 5) 11(a) Fifteen thousand [and] sixty 1 11(b) 1.506[0] × 104 1 12 3c – 4d final answer 2 B1 for 3c + kd or kc – 4d 13 452 or 452.3 to 452.4... 2 M1 for 122 × π 14 85 2 M1 for 24650 ÷ 290

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Partial Marks 15 1.5 2 M1 for 600 10 100 r × × = 90 oe or better 16 5 8 16 7 × M1 5 14 cao A1 17 6x5 final answer 2 B1 for kx5 or 6xk 18 75% 1 5 oe fraction [0].08 3 B1 for each 19(a) 35 2 M1 for first 6 or last 6 values listed in order or for 32 and 38 identified 19(b) 85 1 20(a) 15 1 20(b) He stopped or arrived at the shop 1 20(c) Ruled line from (15 15, 15) to (16 15, 0) 1 21 16.4 or 16.40 to 16.41 3 M2 for [ x =] 12 cos 43 or [ x =] 12 sin 47 or M1 for cos [43][=] 12 x or sin 47 [=] 12 x 22(a) 4 2 M1 for 8w + 8 × 11 = 120 or w + 11 = 120 ÷ 8 22(b) 11 2 M1 for x – 2 = 3 × 3 oe or 3 x = 2 3 3 + oe or better

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Partial Marks 23 Correctly equating one set of coefficients M1 Correct method to eliminate one variable M1 [x =] 4 A1 [y = ] –2.5 oe A1 If 0 scored, SC1 for 2 values satisfying one of the original equations or for 2 correct values 24(a) –1.6 2 1.6 2 B1 for 2 correct 24(b) Fully correct curve 4 B3FT for 9 or 10 points correctly plotted or B2FT for 7 or 8 points correctly plotted or B1FT for 5 or 6 points correctly plotted