Cambridge IGCSE Mathematics (9-1) 0980 — 2021 May/June Paper 1 · Variant 2

This document has 12 pages. DC (CE/SG) 213825 © UCLES 2021 [Turn over * 5 6 6 2 7 4 1 1 3 5 * MATHEMATICS 0980/12 Paper 1 (Core) May/June 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 [ ]. Cambridge IGCSE™(9–1)

2 0980/12/M/J/21 © UCLES 2021 1 Draw the line of symmetry on this shape. [1] 2 Write down all the factors of 42. … [2] 3 P is a point on a line. P Draw a line through point P that is perpendicular to this line. [1] 4 253 306 185 270 386 Calculate the mean of these numbers. … [2]

3 0980/12/M/J/21 © UCLES 2021 [Turn over 5 The formula for changing a temperature measured in Celsius (°C) to Fahrenheit (°F) is 5 9 32 F C = + . Use this formula to change 65°C to Fahrenheit. … °F [2] 6 (a) Without using a calculator, work out 9 5 7 4 2 ' # + - . You must show all your working. … [2] (b) Insert one pair of brackets into this statement to make it correct. 9 + 5 # 7 - 4 ' 2 = 96 [1] 7 a 5 7 = - e o b 2 6 = - e o Work out a b - . f p [1] 8 Write down the number that you (a) add to 4 - to give an answer of 9, … [1] (b) subtract from 9 - to give an answer of 4 - . … [1]

4 0980/12/M/J/21 © UCLES 2021 9 1 to 20 21 to 40 41 to 60 Marks 61 to 80 81 to 100 0 5 10 Number of students 15 20 The bar chart shows the marks scored by a group of 55 students in an examination. Work out the percentage of this group of students who scored marks from 21 to 80. …% [3] 10 The probability that Jane wins a game is 10 7 . Find the probability that Jane does not win the game. … [1]

5 0980/12/M/J/21 © UCLES 2021 [Turn over 11 Calculate .0 0256 4 . … [1] 12 Emma has 15 mathematics questions to complete. The stem‑and‑leaf diagram shows the time, in minutes, it takes her to complete each question. 0 3 5 6 7 7 8 8 1 1 2 2 3 6 6 6 2 0 Key: 2 q0 = 20 minutes Complete the table. Mode … min Median … min Range … min [3] 13 (a) Complete these statements. The reciprocal of 0.2 is … A prime number between 90 and 100 is … [2] (b) 5 7 0.6 7 8 9 From this list, write down an irrational number. … [1] 14 Find the value of x when 7 7 7 x 4 9 ' = . x = … [1]

6 0980/12/M/J/21 © UCLES 2021 15 (a) Henrik draws this scatter diagram. Put a ring around the one correct statement about this scatter diagram. It shows no correlation. It is not possible to tell if there is correlation as there are not enough points. It shows negative correlation. It shows positive correlation. [1] (b) Each of the four scatter diagrams shows the same set of data. A line has been drawn on each diagram. Diagram A Diagram B Diagram C Diagram D Complete the statement. The line in Diagram … is the most appropriate line of best fit. [1]

7 0980/12/M/J/21 © UCLES 2021 [Turn over 16 A cuboid has a square base. The volume of this cuboid is 867 cm3 and its height is 12 cm. Calculate the length of one side of the square base. … cm [3] 17 A rhombus has side length 6.5 cm. The rhombus can be constructed by drawing two triangles. Using a ruler and compasses only, construct the rhombus. Leave in your construction arcs. One diagonal of the rhombus has been drawn for you. [2]

8 0980/12/M/J/21 © UCLES 2021 18 Without using a calculator, work out 3 2 1 7 3 ' . You must show all your working and give your answer as a fraction in its simplest form. … [3]

9 0980/12/M/J/21 © UCLES 2021 [Turn over 19 A bag contains 5 red balls and 3 blue balls. Sophie takes a ball at random, notes its colour and then puts it back in the bag. She does this a second time. (a) Complete the tree diagram. First ball Second ball Red Blue Red Blue … … Red Blue … … … 8 5 [2] (b) Work out the probability that both of the balls she takes are blue. … [2]

10 0980/12/M/J/21 © UCLES 2021 20 5 cm 13 cm 32.5 cm 12.5 cm NOT TO SCALE The diagram shows two cylinders. Show that the two cylinders are mathematically similar. [2] 21 (a) Write 0.006 54 in standard form. … [1] (b) The number .1 467 10102 # is written as an ordinary number. Write down the number of zeros that follow the digit 7. … [1]

11 0980/12/M/J/21 © UCLES 2021 [Turn over 22 4x° NOT TO SCALE ( ) x 3 75 + ° ° ( )x 87- The diagram shows a quadrilateral. Work out the value of x. x = … [4] 23 Work out the lowest common multiple (LCM) of 24 and 54. … [2] Questions 24 and 25 are printed on the next page.

12 0980/12/M/J/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. 24 Expand and simplify. ( ) ( ) x x 5 2 7 3 5 - - - … [2] 25 72° 9 cm A B O NOT TO SCALE The diagram shows a sector of a circle, centre O, radius 9 cm. The sector angle is 72°. (a) Calculate the length of the arc AB. … cm [2] (b) Calculate the area of the sector AOB. … cm2 [2]

This document consists of 6 printed pages. © UCLES 2021 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/12 Paper 1 (Core) May/June 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 May/June 2021 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 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.

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 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.

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2021 © UCLES 2021 Page 4 of 6 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 1 correct line of symmetry 1 2 1, 2, 3, 6, 7, 14, 21, 42 2 B1 for 6 correct, no errors or 7 correct and 1 error or all seen but 1 or 2 extra numbers or 1 × 42, 2 × 21, 3 × 14, 6 × 7 3 Ruled line at 90° to the given line through or touching point P 1 4 280 2 M1 for (253 + 306 + 185 + 270 + 386) ÷ 5 5 149 2 M1 for 9 × 65 ÷ 5 [+32] 6(a) 9 + 35 − 2 M1 42 A1 6(b) (9 + 5) × 7 – 4 ÷ 2 = 96 cao 1 7 7 13     −   1 8(a) 13 1 8(b) −5 1 9 81.8 or 81.81 to 81.82 3 M2 for 12 15 18 [ 100] oe 55 + + × their their their or M1 for their 12 + their 15 + their 18 oe 10 3 10 oe 1 11 0.4 or 2 5 1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2021 © UCLES 2021 Page 5 of 6 Question Answer Marks Partial Marks 12 Mode 16 Median 11 Range 17 3 B1 for each 13(a) 5 97 2 B1 for each 13(b) 7 1 14 13 cao 1 15(a) It is not possible to tell if there is correlation as there are not enough points 1 15(b) C 1 16 8.5 3 M2 for 867 12 ÷ or M1 for 867 ÷ 12 17 Accurate construction of rhombus with sides 6.5 cm and correct construction arcs 2 B1 for accurate diagram with no/wrong arcs or for one triangle (6.5 cm, 6.5 cm, 8 cm) correctly constructed with correct arcs or for four correct arcs 18 2 3 × 7 10 or 14 30 21 21 ÷ oe with common denominator M2 B1 for 10 7 oe or M1 for 2 3 × their 7 10 7 15 cao A1 19(a) 5 probabilities 3 5 and 8 8       oe correctly on the branches 2 B1 for 3 8 on first branch towards Blue or one correct pair on the second branch 19(b) 9 64 oe 2 FT their tree diagram for 2 marks M1 for 3 3 8 8 × their their 20 13 ÷ 5 = 2.6 and 32.5 ÷ 12.5 = 2.6 or 32.5 ÷ 13 = 2.5 and 12.5 ÷ 5 = 2.5 All are oe 2 M1 for 13 ÷ 5 = 2.6 or 32.5 ÷ 12.5 = 2.6 or 32.5 ÷ 13 = 2.5 or 12.5 ÷ 5 = 2.5 All are oe or a correct pair of calculations without 2.6 or 2.5

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2021 © UCLES 2021 Page 6 of 6 Question Answer Marks Partial Marks 21(a) 6.54 × 10−3 1 21(b) 99 1 22 18 4 B3 for 6x = 108 or M2 for 4x + 3x + 75 + 87 – x + 90 =360 oe or better or M1 for 4x + 3x + 75 + 87 – x [+ 90] or better or M1 for 4x + 3x + 75 + 87 – x [+ 90] = k If zero scored, SC1 for ax = 108 (a ≠ 6) or for 6x = b (b ≠ 108) 23 216 2 B1 for 216k as final answer k ≠ 1 or M1 for [24=] 2 × 2 × 2 × 3 and [54=] 2 × 3 × 3 ×3 or 2 correct factor trees or correct tables or a list of multiples of both 24 and 54 with at least 3 of each or 2 × 2 × 2 × 3 × 3 × 3 24 7x – 20 final answer 2 B1 for 10x – 35 or 3x – 15 or −3x + 15 or for 7x or −20 in the final answer 25(a) 11.3 or 11.305 to 11.312 2 M1 for 72 2 9 π 360 × × × 25(b) 50.9 or 50.89 to 50.91 2 M1 for 2 72 9 π 360 × ×