Cambridge IGCSE Mathematics (9-1) 0980 — 2023 May/June Paper 1 · Variant 2

This document has 12 pages. [Turn over Cambridge IGCSE™(9–1) DC (JP) 326591 © UCLES 2023 * 4 3 1 5 4 0 6 8 3 5 * MATHEMATICS 0980/12 Paper 1 (Core) May/June 2023 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 [ ].

0980/12/M/J/23 © UCLES 2023 2 1 (a) Write down all the factors of 18. … [2] (b) Write down the reciprocal of 8. … [1] 2 A B (a) Draw a line perpendicular to the line AB. [1] (b) Measure the line AB in centimetres. …cm [1] 3 Shade two squares so that the diagram has rotational symmetry of order 4. [2]

0980/12/M/J/23 © UCLES 2023 [Turn over 3 4 Kai and Ava each have a piece of wood 57 cm long. (a) Kai cuts his piece into 4 equal length parts. Find the length of one part. …cm [1] (b) Ava cuts her piece into two parts and the lengths are in the ratio 5 1 | . Find the length of the longer part. …cm [2] 5 NOT TO SCALE B C A D y° x° 73° 59° In the diagram, ABC is a triangle and ACD is a straight line. Find the value of x and the value of y. x = … y = … [2]

4 0980/12/M/J/23 © UCLES 2023 6 Find the temperature that is 8 °C colder than 5 - °C. … °C [1] 7 There are two prime numbers in this list. 27 47 57 61 75 93 Work out the sum of these two prime numbers. … [2] 8 On ten days, Stefan records the number of minutes he has to wait for a train. 1 3 12 5 4 23 5 24 11 8 (a) Complete the stem-and-leaf diagram to show this information. 0 1 3 1 2 [2] (b) Find the median. … min [1] Key: 0 q1 represents 1 minute

5 0980/12/M/J/23 © UCLES 2023 [Turn over 9 The scale drawing shows the positions of town A and town B. B A North Measure the bearing of town B from town A. … [1]

6 0980/12/M/J/23 © UCLES 2023 10 4 cm 5 cm 6 cm 3 cm NOT TO SCALE The diagram shows a right-angled triangular prism. On the 1 cm2 grid, complete the net of this prism. One face has been drawn for you. [3]

7 0980/12/M/J/23 © UCLES 2023 [Turn over 11 The distance from town A to town B on a map is 3.5 cm. The scale on the map is 1 : 250 000. Find the actual distance, in kilometres, from town A to town B. … km [2] 12 A spinner is spun. The possible outcomes are A, B, C or D. The probability of spinning A, C or D is shown in the table. Letter on spinner A B C D Probability 0.2 0.05 0.35 Complete the table. [2] 13  { } x x 1 20 | G G = E = {even numbers} M = {multiples of 5} (a) Find ( ) M n . … [1] (b) Find the elements in the set E M + . … [1]

8 0980/12/M/J/23 © UCLES 2023 14 Without using a calculator, work out 7 4 1 21 5 ' . You must show all your working and give your answer as a fraction in its simplest form. … [3] 15 F is the point ( , ) 1 4 - , FG 8 3 = - e o and GH 12 35 = - e o. Find (a) FG 3 f p [1] (b) FG GH + f p [1] (c) the coordinates of the point G. (… , …) [1]

9 0980/12/M/J/23 © UCLES 2023 [Turn over 16 x is an integer where x 3 H- and x 3 1 . Write down all the possible values of x. … [2] 17 Find the size of an interior angle of a regular 15-sided polygon. … [2] 18 (a) Write 45 000 in standard form. … [1] (b) Calculate . . 6 75 10 4 2 10 3 5 # # # - . Give your answer in standard form. … [1] 19 Simplify. x x 18 3 12 3 ' … [2]

10 0980/12/M/J/23 © UCLES 2023 20 Buses at a station go to the port or to the town. Buses leave every 28 minutes for the port. Buses leave every 48 minutes for the town. At 10 18 a bus for the port and a bus for the town leave the station together. Find the next time when a bus for the port and a bus for the town leave the station together. … [3] 21 NOT TO SCALE 18 cm 15 cm 9 cm B Q P A C R Triangle ABC is similar to triangle PQR. Calculate QR. QR = … cm [2]

11 0980/12/M/J/23 © UCLES 2023 [Turn over 22 (a) NOT TO SCALE 8.6 cm C B A 42° The diagram shows a right-angled triangle ABC. Calculate AB. AB = … cm [2] (b) NOT TO SCALE 23.8 cm 11.2 cm 20 cm R Q P S The diagram shows right-angled triangles PQS and PRS. . cm PQ 23 8 = , . cm QS 11 2 = and cm SR 20 = . Calculate PR. PR = … cm [4] Question 23 is printed on the next page.

12 0980/12/M/J/23 © UCLES 2023 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 Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. 23 (a) The mass, m kilograms, of object A is 350 kg, correct to the nearest 10 kg. Complete this statement about the value of m. … m 1 G … [2] (b) The mass of object B is 348 kg, correct to the nearest kilogram. Show that the mass of object B may be more than the mass of object A. … [1]

This document consists of 6 printed pages. © UCLES 2023 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/12 Paper 1 (Core) May/June 2023 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 2023 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2023 © UCLES 2023 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 2023 © UCLES 2023 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 2023 © UCLES 2023 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(a) 1, 2, 3, 6, 9, 18 2 B1 for 6 correct and one extra or for at least four correct and no extras or for all the correct factor pairs 1(b) 1 8 or [0].125 1 2(a) Accurate ruled perpendicular line 1 2(b) 7.4 1 3 2 B1 for one correct square and a maximum of one incorrect square 4(a) 14.25 1 4(b) 47.5 2 M1 for 57 1 5  [×5] 5 [x= ] 48 [y = ]132 2 B1 for each If 0 scored, SC1 for two answers that add up to 180 6 –13 1 7 108 2 B1 for 47 or 61 identified 8(a) 0 (1 3) 4 5 5 8 1 1 2 2 3 4 2 B1 for a correct diagram with one error or omission or for a fully correct unordered stem-and-leaf diagram 8(b) 6.5 1 9 135 1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2023 © UCLES 2023 Page 5 of 6 Question Answer Marks Partial Marks 10 Fully correct net 3 B2 for 2 correct rectangles in the correct places but in either order or B1 for 1 correct rectangle in the correct place If B0 or B1 scored, SC1 for two 3 4 5 triangles on opposite sides of a rectangle 11 8.75 2 M1 for 3.5 250000 100 1000   oe or B1 for figs 875 or 1 cm : 2.5 km 12 0.4 oe 2 M1 for 1 – (0.2 + 0.05 + 0.35) oe or B1 for 0.6 oe 13(a) 4 cao 1 13(b) 10, 20 1 14 4 21 oe 7 26  or 12 26 21 21  oe with common denominator M2 B1 for 26 21 or oe 21 26 or M1 for 4 21 oe 7 26 their 6 13 cao A1 15(a) 24 9        1 15(b) 4 32        1 15(c) (9, –7) 1 16 −3, −2, −1, 0, 1, 2 2 B1 for 6 correct and one extra or for 5 correct and none incorrect 17 156 2 M1 for 180 − (360 ÷ 15) oe or{(15 − 2)×180}÷ 15 oe 18(a) 4.5 × 104 1 18(b) 2.835 × 103 1 19 6x9 final answer 2 B1 for kx9 or 6xk, k ≠ 0 as final answer or for correct answer seen and spoilt

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2023 © UCLES 2023 Page 6 of 6 Question Answer Marks Partial Marks 20 15 54 or 3 54 pm 3 B2 for 336 or 5 hr 36 mins or M1 for 336k or 2×2×2×2×3×7 or [28=] 2×2×7 and [48=] 2×2×2×2×3 or correct factor trees/tables of both 28 and 48 OR M2 for listing times/multiples of both 28 and 48 to at least 1554 or 336 or M1 for listing at least next 3 of each or one full list 21 10.8 2 M1 for 18 9 15  QR oe or better 22(a) 5.75 or 5.754 to 5.755 2 M1 for sin 42 = 8.6 AB or better 22(b) 29 4 M2 for 23.82 – 11.22 or M1 for […]2 + 11.22 = 23.82 and M1dep for (their 21)2 + 202 23(a) 345 355 2 B1 for one correct and in the correct position If 0 scored, SC1 for both correct but reversed 23(b) Any correct response e.g. A could be 345 1 Dependent on 345 given as a limit in part (a)