Cambridge IGCSE Mathematics (9-1) 0980 — 2021 Oct/Nov Paper 1 · Variant 1

This document has 12 pages. Any blank pages are indicated. Cambridge IGCSE™(9–1) MATHEMATICS 0980/11 Paper 1 (Core) October/November 2021 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 [ ]. DC (PQ) 221763 © UCLES 2021 [Turn over * 6 5 3 6 4 6 4 5 6 1 *

2 0980/11/O/N/21 © UCLES 2021 1 Fraction Decimal Percentage 2 1 = 0.5 = 50 … = 0.25 = … 1 5 = … = 20 Complete the table. [3] 2 This shape is drawn on a cm 1 2 grid. Find the perimeter of the shape. … cm [1] 3 Write down the order of rotational symmetry of this shape. … [1]

3 0980/11/O/N/21 © UCLES 2021 [Turn over 4 A B C E D Write down the letter of the shape that is congruent to the shaded shape. … [1] 5 The number of items that each of 22 people buy in a supermarket is shown in the stem-and-leaf diagram. 1 1 3 6 6 2 0 2 2 2 4 8 9 3 1 1 5 8 9 9 4 2 4 6 7 8 Key: 1 | 1 represents 11 items (a) Find the mode. … [1] (b) Find the median. … [1]

4 0980/11/O/N/21 © UCLES 2021 6 (a) Change 2.7 kilometres into metres. … m [1] (b) Find the number of hours in 5 days. … h [1] 7 Hank flies from Los Angeles to Shanghai. (a) The flight departs on Friday 22 July at 21 40. The flight takes 13 hours 35 minutes. The local time in Shanghai is 15 hours ahead of the local time in Los Angeles. Find the day, date and time in Shanghai when Hank’s flight arrives. Day … , Date … , Time … [3] (b) The cost of the flight is $920. The exchange rate is $1 = 6.87 Chinese yuan. Find the cost of the flight in yuan. … yuan [1] 8 n t P 2 3 = - Find the value of n when P 9 = and t 8 = . n = … [3]

5 0980/11/O/N/21 © UCLES 2021 [Turn over 9 The scale drawing shows the positions of two towns, P and Q. The scale is 1 cm represents 4 km. North North P Q Scale: 1 cm to 4 km (a) Find the actual distance between town P and town Q. … km [2] (b) Measure the bearing of town Q from town P. … [1] (c) Town X is 28 km from town P on a bearing of 140°. On the scale drawing, mark the position of town X. [2]

6 0980/11/O/N/21 © UCLES 2021 10 Chung invests $2460 at a rate of 3.5% per year simple interest. Calculate the total amount of his investment at the end of 4 years. $ … [3] 11 125 people taste a new drink. Each person gives a score out of 5. The bar chart shows the results. 0 0 1 Score 2 3 4 5 10 20 Number of people 30 40 Calculate the mean score. … [3]

7 0980/11/O/N/21 © UCLES 2021 [Turn over 12 (a) 7, 13, 19, 25, … Find the next term in this sequence. … [1] (b) 30, 26, 22, 18, … Write down the term to term rule for this sequence. … [1] (c) -1, 1, 3, 5, … Find the nth term for this sequence. … [2] 13 A circular disc has circumference 250 cm. Calculate the radius of the disc. … cm [2] 14 (a) Factorise completely. x x 18 12 2 - … [2] (b) Expand and simplify. ( )( ) x x 5 3 + - … [2]

8 0980/11/O/N/21 © UCLES 2021 15 Sophie buys 73 books for her school. Each book costs $21.95 . (a) By rounding each number correct to 1 significant figure, estimate the total cost of these books. $ … [1] (b) Write down whether this estimate is greater or less than the exact cost. Explain how you decide, without working out the exact cost. … because … … [1] 16 Calculate the size of one interior angle of a regular octagon. … [2]

9 0980/11/O/N/21 © UCLES 2021 [Turn over 17 The table shows the relative frequency of the games won by a football team. Result of game won lost drawn Relative frequency 0.1 The number of games lost is twice the number of games drawn. Complete the table. [3] 18 Without using a calculator, work out 1 6 5 5 2 + . You must show all your working and give your answer as a mixed number in its simplest form. … [3]

10 0980/11/O/N/21 © UCLES 2021 19 x y 8 6 4 2 0 – 4 – 2 – 1 1 2 3 – 2 – 3 L Find the equation of line L. Give your answer in the form y mx c = + . y = … [3]

11 0980/11/O/N/21 © UCLES 2021 20 There are 50 families in a village. C = {families who own a car} B = {families who own a bicycle} 23 families own a car. 10 families own a car and a bicycle. 6 families own no cars and no bicycles. (a) Complete the Venn diagram. C B [2] (b) Find ( ) n C B , . … [1] 21 45° 4.8 cm NOT TO SCALE The diagram shows a sector of a circle with radius 4.8 cm and sector angle 45°. Calculate the area of the sector. … cm2 [2]

12 0980/11/O/N/21 © UCLES 2021 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 6 printed pages. © UCLES 2021 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/11 Paper 1 (Core) October/November 2021 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 2021 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 2021 © UCLES 2021 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 2021 © UCLES 2021 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 2021 © UCLES 2021 Page 4 of 6 Question Answer Marks Partial Marks 1 1 4 oe fraction 25 0.2 3 B1 for each in correct place 2 24 1 3 2 1 4 E 1 5(a) 22 1 5(b) 30 1 6(a) 2700 1 6(b) 120 1 7(a) Sunday 24 [July] 0215 3 B1 for Sunday 24th [July] as final answer B2 for 02 15 oe as final answer or B1 for sight of any of these 12 40 oe, 11 15 oe, 28h 35min, 50 15, 35 15 or 02 15 oe spoilt or M1 for departure time + 13h35min + 15h evaluated as a time with one interval correctly added 7(b) 6320.4[0] 1 8 16.5 oe 3 B2 for 2n = 33 or M2 for n = 9 3 8 2 + × or M1 for 2n – 3 × 8 = 9 or better 9(a) 32.8 2 M1 for 8 [cm] to 8.4 [cm] seen or for their measurement [in cm] multiplied by 4 9(b) 065 1 9(c) X correctly placed 7 cm from P on a bearing of 140° 2 M1 for X on bearing of 140° from P or for X 7 cm from P If 0 scored, SC1 for X on bearing of 140 from Q and 7 cm from Q

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2021 © UCLES 2021 Page 5 of 6 Question Answer Marks Partial Marks 10 2804.4[0] final answer 3 M2 for 2460 3.5 4 2460 100 × × + oe or M1 for 2460 3.5 4 100 × × oe 11 3.08 3 M1 for [4 × 0 +] 15 × 1 + 23 × 2 + 36 × 3 + 19 × 4 + 28 × 5 M1 dep for 125 fx  12(a) 31 1 12(b) Subtract 4 oe 1 12(c) 2n – 3 oe final answer 2 B1 for 2n + c or kn – 3 (k ≠ 0) or for 2n – 3 oe spoilt or –1 + 2(n – 1) spoilt 13 39.8 or 39.78 to 39.79 2 M1 for 250 ÷ 2π 14(a) 6x (3x – 2) final answer 2 B1 for correct answer spoilt or for correct partial factorisation as answer e.g. 2 (9x2 – 6x) or 3 (6x2 – 4x) or 6 (3x2 – 2x) or 2x (9x – 6) or 3x (6x – 4) or x (18x – 12) 14(b) x2 + 2x – 15 final answer 2 M1 for 3 correct terms from x2 – 3x + 5x – 15 soi 15(a) 70 × 20 and 1400 1 15(b) Less than [because] both values rounded down oe 1 If zero scored, SC1 for answer of 73 × 20 and 1460 in (a) with Less than [because] the cost of the book is rounded down oe 16 135 2 M1 for 180 – (360 ÷ 8) oe or ( ) 8 – 2 180 8 × oe 17 lost drawn 0.6 oe 0.3 oe 3 B2 for 0.6 oe or 0.3 oe or M1 for 1 – 0.1 or 0.9 seen

0980/11 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2021 © UCLES 2021 Page 6 of 6 Question Answer Marks Partial Marks 18 25 or 55 30 and 12 30 M1 Accept 25 or 55 30 k k k and 12 30 k k 7 2 30 cao A2 A1 for 67 37 or 1 30 30 k k k k 19 [y =] 3x + 2 final answer 3 B2 for [y =] 3x + c as answer or M1 for a correct rise/run e.g. 6 ÷ 2 or 8 2 2 0 − − or for a suitable right-angled triangle marked on graph with correct values shown for rise and run and B1 for [y =] mx + 2, m ≠ 0 as answer 20(a) 2 B1 for at least 2 figures in the correct places 20(b) 44 1 FT their 3 values from (a) or 50 – their 6, provided answer is between 0 and 50 21 9.05 or 9.047 to 9.049 2 M1 for 2 45 π 4.8 360 × × oe