Cambridge IGCSE Mathematics (9-1) 0980 — 2024 May/June Paper 1 · Variant 2

This document has 8 pages. [Turn over Cambridge IGCSE™(9–1) MATHEMATICS 0980/12 Paper 1 (Core) May/June 2024 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 [ ]. * 8 7 2 3 0 0 7 8 9 2 * DC (SL) 341727 © UCLES 2024

2 0980/12/M/J/24 © UCLES 2024 1 Write the number 31 072 000 in words. … [1] 2 x A B C (a) Measure the size of angle x. … [1] (b) Measure the length of line AB in millimetres. … mm [1] (c) Mark the midpoint, M, of line AB. [1] (d) Draw a line through the point M that is perpendicular to line AB. [1] 3 Find the value of the reciprocal of 0.4 . … [1] 4 Write these numbers in order, starting with the smallest. . . % 7 6 8 6 10 13 11 86 5 1 # - … 1 … 1 … 1 … [2] smallest

3 0980/12/M/J/24 © UCLES 2024 [Turn over 5 (a) Draw all the lines of symmetry on this quadrilateral. [2] (b) Write down the mathematical name of a quadrilateral that has rotational symmetry of order 2. … [1] 6 The temperature at midnight is -4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures. … °C [1] 7 A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50 . Calculate the total amount he charges when he works for 4 hours. $ … [2] 8 Jonah has $750. He spends 4 1 of this money on travel, and some of this money on food. He now has $437.50 . Work out the fraction of the $750 he spends on food. … [3]

4 0980/12/M/J/24 © UCLES 2024 9 A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 (a) Complete the stem-and-leaf diagram. 2 3 4 5 Key: 4 q8 represents 48 pizzas [2] (b) Find the median. … [1] 10 a b 5 7 6 7 = - = - e e o o Work out a b - . f p [1] 11 These are the first four terms of a sequence. 23 17 11 5 (a) Write down the next two terms. … , … [2] (b) Find the nth term. … [2]

5 0980/12/M/J/24 © UCLES 2024 [Turn over 12 Write 0.04628 correct to 2 significant figures. … [1] 13 A B On the Venn diagram, shade the region A B , . [1] 14 Factorise completely. x x 20 90 2 - … [2] 15 Describe the type of correlation between the speed of runners and the time taken to complete a race. … [1] 16 A circle has an area of cm 36 2 r . (a) Find the circumference of the circle. Give your answer in terms of r. … cm [3] (b) The circle forms the base of a cylinder with height h cm. The volume of the cylinder is cm 540 3 r . Work out the value of h. h = … [2]

6 0980/12/M/J/24 © UCLES 2024 17 Write 174 000 in standard form. … [1] 18 x° 14 cm NOT TO SCALE 8.5 cm The diagram shows a right-angled triangle. Calculate the value of x. x = … [2] 19 Without using a calculator, work out 2 4 1 1 8 7 ' . You must show all your working and give your answer as a mixed number in its simplest form. … [3] 20 Expand and simplify. ( )( ) x x 4 7 - - … [2]

7 0980/12/M/J/24 © UCLES 2024 [Turn over 21 5 5 5 x 7 3 ' = Find the value of x. x = … [1] 22 The length, l metres, of a piece of material is 4.5 m, correct to the nearest 10 cm. Complete this statement about the value of l. … l 1 G … [2] 23 % = {x: x is a natural number less than 12} S = {1, 4, 7, 10} T = {1, 3, 5, 7, 9, 11} S T 2 10 8 Complete the Venn diagram. [2] 24 In a class of 30 students, 13 travel to school by bus. There are 570 students in the school. Find the expected number of students in the school who travel by bus. … [2] Question 25 is printed on the next page.

8 0980/12/M/J/24 © UCLES 2024 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. 25 16.5 m 21.2 m 48° NOT TO SCALE D B C A The diagram shows a flagpole, BD, held by two ropes, AD and CD. ABC is a straight line and angle ABD = 90°. AD = 21.2 m, AB = 16.5 m and angle BCD = 48°. (a) Show that the height of the flagpole BD is 13.3 m, correct to 1 decimal place. [3] (b) Calculate the length of the rope CD. CD = … m [3]

This document consists of 7 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/12 Paper 1 (Core) May/June 2024 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 2024 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 2024 © Cambridge University Press & Assessment 2024 Page 2 of 7 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 descriptions 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 2024 © Cambridge University Press & Assessment 2024 Page 3 of 7 Mathematics-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, non-integer 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 or sign 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 A or B 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 2024 © Cambridge University Press & Assessment 2024 Page 4 of 7 MARK SCHEME NOTES The following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons outside the scope of these notes. Types of mark M Method marks, awarded for a valid method applied to the problem. A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned or implied. B Mark for a correct result or statement independent of Method marks. When a part of a question has two or more ‘method’ steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly where there are several B marks allocated. The notation ‘dep’ is used to indicate that a particular M or B mark is dependent on an earlier mark in the scheme. 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 Thirty-one million[s] [and] seventy-two thousand[s] 1 2(a) 46° 1 2(b) 84 1 2(c) Mid-point marked 42 mm along AB from A. 1 2(d) Line at 90° to AB at M. 1 FT their mid-point 3 2.5 oe 1 4 1 11 6 8.6 10 86.5% 13 7   2 B1 for 3 in correct order or M1 for 0.857[…], 0.86, 0.846[…], 0.865 or 85.7%, 86%, 84.6% 5(a) 4 correct lines of symmetry 2 B1 for two or three correct lines drawn and none incorrect or 4 correct and one additional line. 5(b) Rectangle or rhombus or parallelogram 1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 5 of 7 Question Answer Marks Partial Marks 6 29 1 7 41.7[0] 2 M1 for 6.55 × 4 + 15.50 8 1 6 or equivalent fraction 3 B2 for 625 750 oe or M2 for 750 750 437.5 oe 4   or M1 for 750 750 oe 4  or 750 437.5 oe 4  or 437.5oe 750 9(a) Correct table 2 2 8 3 6 9 4 1 4 8 9 5 2 4 7 7 2 B1 for two rows correct or for fully correct unordered stem-and-leaf diagram. 9(b) 46 1 10 1 0        1 11(a) −1 −7 2 B1 for each If 0 scored, SC1 for two terms with a difference of −6 11(b) – 6n + 29 oe final answer 2 B1 for −6n + j or kn + 29 k ≠ 0 or – 6n + 29 oe seen but spoilt. 12 0.046 cao 1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 6 of 7 Question Answer Marks Partial Marks 13 1 14 10x(2 – 9x) final answer 2 B1 for answer of 10(2x – 9x2) or x(20 – 90x) or 2x(10 –45x) or 5x(4 – 18x) or 10x(2 – 9x) seen and spoilt. 15 Negative 1 16(a) 12π cao 3 B2 for r = 6 or M1 for πr2 = 36π oe 16(b) 15 cao 2 M1 for [h =] 540π ÷ 36π or better 17 1.74 × 105 1 18 52.6 or 52.61 to 52.62 2 M1 for 8.5 cos[... ] 14  oe 19 9 8 4 15  oe or 18 15 8 8  oe with common denominator M2 B1 for 9 15 or 4 8 oe or M1 for 9 8 oe 4 1 5  their their 1 15 cao A1 Dep on M2 20 x2 – 11x + 28 final answer 2 B1 for x2 – 4x – 7x + 28 with at least 3 terms correct 21 4 cao 1 22 4.45 4.55 2 B1 for each If 0 scored, SC1 for both correct but reversed or for 445 ⩽ l < 455 A B

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 7 of 7 Question Answer Marks Partial Marks 23 2 B1 for at least 5 numbers in the correct places and not repeated elsewhere. 24 247 2 M1 for 13 [570] 30  25(a) [BD =] 2 2 21.2 16.5  M2 M1 for BD2 + 16.52 = 21.22 or better 13.31….. A1 25(b) 17.9 or 17.89 to 17.91….. 3 M2 for [CD =] 13.3 sin 48 or [CD =] 13.3 cos42 or M1 for sin 48 [=] 13.3 CD or better or for cos 42 [=] 13.3 CD or better [10] 4 1 7 3 5 9 11 [2] 6 [8] S T