Cambridge IGCSE Mathematics (9-1) 0980 — 2020 Oct/Nov Paper 1 · Variant 1

Cambridge IGCSE™(9–1) This document has 12 pages. Blank pages are indicated. DC (KN) 205922 © UCLES 2020 [Turn over * 8 7 3 1 4 2 0 7 6 8 * MATHEMATICS 0980/11 Paper 1 (Core) October/November 2020 1 hour You must answer on the question paper. You will need: Geometrical instruments INSTRUCTIONS ● Answer all questions. ● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ● Write your name, centre number and candidate number in the boxes at the top of the page. ● Write your answer to each question in the space provided. ● Do not use an erasable pen or correction fluid. ● Do not write on any bar codes. ● You should use a calculator where appropriate. ● You may use tracing paper. ● You must show all necessary working clearly. ● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. ● For r, use either your calculator value or 3.142. INFORMATION ● The total mark for this paper is 56. ● The number of marks for each question or part question is shown in brackets [ ].

2 0980/11/O/N/20 © UCLES 2020 1 Write down the mathematical name for (a) an angle which is less than 90°, … [1] (b) a polygon with 5 sides, … [1] (c) a quadrilateral with exactly one pair of parallel sides. … [1] 2 hexagon perpendicular isosceles regular congruent Put a ring around the word that describes two polygons that are the same shape and size. [1] 3 Write 105 60 in its simplest form. … [1] 4 Calculate. .0 01 1 82 - … [1]

3 0980/11/O/N/20 © UCLES 2020 [Turn over 5 (a) The diagram shows a rhombus. On the diagram, draw all the lines of symmetry. [2] (b) Shade two squares so that the diagram has rotational symmetry of order 2. [1]

4 0980/11/O/N/20 © UCLES 2020 6 24 m 17 m 7 m x m 19 m NOT TO SCALE The diagram shows a shape made from rectangles. The shape has a total area of 517 m2. Find the value of x. x = … [4]

5 0980/11/O/N/20 © UCLES 2020 [Turn over 7 Hua cycles from her home to the library. The travel graph shows this journey. 10 00 10 30 11 00 Time 11 30 12 00 12 11 10 9 8 7 6 5 4 3 2 1 0 Library Home Distance from home (km) (a) At what time does she start her journey? … [1] (b) (i) Find her distance from home when she stops for a rest. … km [1] (ii) How long does she stop for a rest? … min [1] (c) Hua stays at the library for 10 minutes. She then cycles home at a constant speed of 24 km/h. Complete the travel graph. [2]

6 0980/11/O/N/20 © UCLES 2020 8 A field, ABC, is in the shape of a triangle. AC = 500 m and BC = 650 m. Using a ruler and compasses only, complete the scale drawing of the field ABC. Leave in your construction arcs. Use a scale of 1 cm to represent 100 m. The side AB has been drawn for you. A B Scale: 1 cm to 100 m [3] 9 Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2. Work out how much Alan receives. $ … [2]

7 0980/11/O/N/20 © UCLES 2020 [Turn over 10 Work out. (a) 3 5 1 2 - + - e e o o f p [1] (b) 4 5 2 - e o f p [1] 11 Rangan buys 3.6 kg of potatoes and 2.8 kg of leeks. The total cost is $13.72 . Leeks cost $2.65 per kilogram. Find the cost of 1 kg of potatoes. $ … [3]

8 0980/11/O/N/20 © UCLES 2020 12 . . . . T 4 085 2 35 49 2 9 59 # = - By writing each number correct to 1 significant figure, work out an estimate for T. You must show all your working. … [2] 13 (a) Write 18 as the product of its prime factors. … [2] (b) At a bus stop • a red bus arrives every 18 minutes and • a blue bus arrives every 24 minutes. At 10 47 a red bus and a blue bus arrive. Find the next time when a red bus and a blue bus arrive together. … [3]

9 0980/11/O/N/20 © UCLES 2020 [Turn over 14 Without using a calculator, work out 2 3 2 2 4 3 # . You must show all your working and give your answer as a mixed number in its simplest form. … [3] 15 Change 4.37 litres into cubic centimetres. … cm3 [1] 16 Make x the subject of this formula. y x 2 5 7 = - x = … [2] 17 Trina invests $16 000 at a rate of 5% per year compound interest. Work out the value of her investment at the end of 4 years. $ … [2]

10 0980/11/O/N/20 © UCLES 2020 18 Aisha records the distance she runs and her average speed. The results are shown in the scatter diagram. 0 5 6 7 8 9 10 11 12 Average speed (km/h) 13 14 15 16 1 2 3 4 5 Distance (km) 6 7 8 9 10 (a) The table shows the results of four more runs. Distance (km) 4.2 5.7 7.1 8.8 Average speed (km/h) 13.4 11.8 9.8 8.3 On the scatter diagram, plot these points. [2] (b) What type of correlation is shown in the scatter diagram? … [1] (c) On the scatter diagram, draw a line of best fit. [1] (d) Use your line of best fit to estimate her average speed when she runs a distance of 6 km. … km/h [1]

11 0980/11/O/N/20 © UCLES 2020 [Turn over 19 A circle has a circumference of 56 mm. Work out the radius of this circle. … mm [2] 20 1 2 3 4 5 6 12 11 10 9 8 7 6 5 4 3 2 1 0 y x L Find the equation of line L in the form y mx c = + . y = … [2] Question 21 is printed on the next page.

12 0980/11/O/N/20 © UCLES 2020 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. 21 (a) 18 cm 10 cm x° NOT TO SCALE Calculate the value of x. x = … [2] (b) 15 cm 8 cm k cm NOT TO SCALE Calculate the value of k. k = … [2]

This document consists of 6 printed pages. © UCLES 2020 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/11 Paper 1 (Core) October/November 2020 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 2020 series for most Cambridge IGCSE™, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 2 of 6 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 2020 © UCLES 2020 Page 3 of 6 Maths-Specific Marking Principles 1 Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required then no marks will be awarded for a scale drawing. 2 Unless specified in the question, answers may be given as fractions, decimals or in standard form. Ignore superfluous zeros, provided that the degree of accuracy is not affected. 3 Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points. 4 Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw). 5 Where a candidate has misread a number in the question and used that value consistently throughout, provided that number does not alter the difficulty or the method required, award all marks earned and deduct just 1 mark for the misread. 6 Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate’s intent clear. 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

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 4 of 6 Question Answer Marks Partial Marks 1(a) Acute 1 1(b) Pentagon 1 1(c) Trapezium 1 2 Congruent indicated only 1 3 4 7 cao 1 4 6 1 5(a) Two diagonal lines only 2 B1 for one correct line with one incorrect or missing line or for two correct lines with maximum one incorrect line 5(b) 1 6 16 4 Accept any correct method e.g. M1 for 19 × 7 M1 for 517 – their 133 M1 for their 384 ÷ 24 7(a) 10 10 [am] 1 7(b)(i) 8 1 7(b)(ii) 20 1 7(c) Line from (11 10, 12) to (11 20, 12) and ruled line from (their11 20, 12) to (their11 20 + 30, 0) 2 B1 for either line correct If zero scored, B1 for 30 [min] or half an hour or 0.5 [hours] 8 Correct triangle constructed with AC= 5 cm and BC = 6.5 cm and intersecting arcs 3 B2 for correct triangle with no/incorrect arcs or SC2 for accurate triangle with arcs but sides interchanged or B1 for 6.5 [cm] or 5 [cm] soi 9 850[.00] 2 M1 for 1190 5 2 +

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 5 of 6 Question Answer Marks Partial Marks 10(a) 7 4     −   1 10(b) 8 20     −   1 11 1.75 3 M2 for (13.72 – 2.8 × 2.65) ÷ 3.6 oe or M1 for 2.8 × 2.65 12 50 10 4 2 − × M1 Allow M1 for 3 out of 4 values correctly rounded or for all correct but with any trailing zeros 5 A1 dep on 50 –1 0 4 2 × 13(a) 2 × 32 or 2 × 3 × 3 2 B1 for 2, 3, 3 may be seen in a factor tree or table 13(b) 11 59 3 B2 for 23 × 32 soi by 72 or 1[h] 12[min] or correct times of both buses to 11 59 or B1 for correct times of one bus to 11 59 or M1 for 23 × 3 or for 18, 36, 54 [...] and 24, 48 [...] or listing times of next 4 red buses and next 3 blue buses, follow through max 1 error or omission in each list 14 8 3 and 11 4 oe improper fractions M1 88 12 oe improper fraction A1 7 1 3 cao final answer A1 Dep on first A1 If M0 scored, SC1 for 8 3 or 11 4 oe improper fraction 15 4370 1 16 [x =] 2 7 5 + y oe or [x =] 2 7 5 5 + y oe final answer 2 M1 for 2y + 7 = 5x oe or 2 7 5 5 = − y x oe 17 19 448.1[0] final answer 2 M1 for 16 000 (1 + 5 100 )4 oe

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 6 of 6 Question Answer Marks Partial Marks 18(a) 4 points correctly plotted 2 B1 for 2 or 3 points correctly plotted 18(b) Negative 1 18(c) Correct ruled line of best fit 1 18(d) 10 to 12 1 FT their straight line of best fit 19 8.91 or 8.911 to 8.913 2 M1 for 56 2π 20 [y =] 1.5x + 3 final answer 2 M1 for rise run using correct values or B1 for [y =] 1.5x + c or [y =] kx + 3, k ≠ 0 as final answer 21(a) 29.1 or 29.05… 2 M1 for tan [x =] 10 18 21(b) 17 2 M1 for 82 + 152