Cambridge IGCSE Mathematics 0580 — 2023 Oct/Nov Paper 1 · Variant 1

This document has 12 pages. Any blank pages are indicated. [Turn over Cambridge IGCSE™ MATHEMATICS 0580/11 Paper 1 (Core) October/November 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 [ ]. * 5 0 9 4 1 2 8 1 1 1 * DC (CJ/FC) 318293/2 © UCLES 2023

2 0580/11/O/N/23 © UCLES 2023 1 Write down the mathematical name for this type of angle. … [1] 2 Write down the value of the 8 in the number 58 317. … [1] 3 Complete these statements. (a) When x = … , x 3 8 + = . [1] (b) When , y y 7 63 10 = = … [1] 4 Find the value of 5832 3 . … [1] 5 A watch costs $12 400. In a sale there is a discount of 16%. Calculate the amount of the discount. $ … [1]

3 0580/11/O/N/23 © UCLES 2023 [Turn over 6 (a) Mei writes down five integers. • The lowest integer is 8. • The range is 9. • The median is 15. • The total of the five integers is 66. • There is no mode. Write down the five integers. … , … , … , … , … [3] (b) Huan writes down four numbers. The mean of these four numbers is 17. He writes down a fifth number. The mean of these five numbers is 20. Find the fifth number. … [3] 7 Arjun lives in Delhi and Haru lives in Tokyo. They play a computer game online at the same time. They start at 14 45 Tokyo local time. The game lasts 3 hours 50 minutes. The local time in Delhi is 3 hours 30 minutes behind the local time in Tokyo. Find the local time in Delhi when the game finishes. … [2]

4 0580/11/O/N/23 © UCLES 2023 8 The diagram shows an isosceles triangle. NOT TO SCALE x° 41° Find the value of x. x = … [2] 9 The stem-and-leaf diagram shows the time, in minutes, it takes each of 15 people to complete a race. 1 6 6 7 2 1 3 3 4 5 6 7 7 7 3 0 1 1 Key: 1 6 represents 16 minutes Find (a) the mode … min [1] (b) the range … min [1] (c) the median. … min [1]

5 0580/11/O/N/23 © UCLES 2023 [Turn over 10 NOT TO SCALE 135° 52° x° A C D B AB and CD are parallel lines. Find the value of x. x = … [2] 11 Write 0.03682 correct to 2 significant figures. … [1] 12 The table shows some information about Amir’s shopping. Fruit Cost per kilogram Number of kilograms Amir buys Cost Oranges $2.35 3.2 $… Bananas $… 2.8 $… Total $13.54 Complete the table. [3]

6 0580/11/O/N/23 © UCLES 2023 13 For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car. 0 0 10 000 20 000 30 000 40 000 Salary ($) Value of car ($) 50 000 60 000 70 000 80 000 1000 2000 3000 4000 5000 6000 7000 8000 9000 10 000 (a) One of these people has a salary of $28 000. Find the value of their car. $ … [1] (b) Another person starts to work in the office. Their salary is $54 000 and the value of their car is $6100. Plot this information on the scatter diagram. [1] (c) What type of correlation is shown in the scatter diagram? … [1]

7 0580/11/O/N/23 © UCLES 2023 [Turn over 14 Factorise completely. 42mk - 35m … [2] 15 Find the highest common factor (HCF) of 140 and 126. … [2] 16 Simplify. (a) n n 5 # … [1] (b) x x 8 2 6 2 ' … [2] 17 The circumference of a circle is 59 cm. Calculate the radius of the circle. … cm [2]

8 0580/11/O/N/23 © UCLES 2023 18 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of . . . . 3 8 1 2 36 9 24 2 - + . You must show all your working. … [2] 19 Indira invests $6000 at a rate of r % per year simple interest. At the end of 4 years the value of her investment is $6840. Find the value of r. r = … [3] 20 NOT TO SCALE 8 cm 14 cm 6 cm Find the area of this trapezium. … cm2 [2]

9 0580/11/O/N/23 © UCLES 2023 [Turn over 21 (a) Write these numbers in standard form. (i) 45 000 … [1] (ii) 0.0063 … [1] (b) Calculate .8 2 10 150000 1 # # - . Give your answer in standard form. … [2] 22 The length, s metres, of a ship is 287 m, correct to the nearest metre. Complete this statement about the value of s. … s 1 G … [2] 23 The table shows the number of people in a town who are left-handed and the number who are right-handed. Left-handed Right-handed Total Number of people 8 400 48 600 57 000 Write down the probability that a person, chosen at random, is left-handed. … [1]

10 0580/11/O/N/23 © UCLES 2023 24 (a) Change . m 1 2 2 into mm2. … mm2 [1] (b) The speed limit on a road is 80 km/h. Sophie drives at a speed of 1200 m/min. Show that Sophie drives at a speed lower than the speed limit. [2] 25 Calculate the area of a semicircle with radius 10 cm. … cm2 [2]

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12 0580/11/O/N/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. BLANK PAGE

This document consists of 6 printed pages. © UCLES 2023 [Turn over Cambridge IGCSE™ MATHEMATICS 0580/11 Paper 1 (Core) October/November 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 October/November 2023 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

0580/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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.

0580/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 3 of 6 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.

0580/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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 Obtuse 1 2 1000 or 8000 1 3(a) 5 1 3(b) 90 1 4 18 1 5 1984 1 6(a) 8 10 15 16 17 3 B1 for 8 as lowest and 17 as highest B1 for 15 as the median of their integers B1 for two other integers such that the total of all 5 of their integers is 66 and there are no repeated integers. 6(b) 32 3 M1 for 4  17 soi M1 for 5  20 soi 7 15 05 or 3 05 pm 2 B1 for 15 05 or 3 05 pm incorrectly expressed or for 11 15 or 18 35 oe seen or M1 for [14 45 +] 3[h] 50 – 3[h] 30 oe 8 98 2 M1 for x + 41 + 41 = 180 oe or better 9(a) 27 1 9(b) 15 1 9(c) 25 1 10 83 2 B1 for 45 marked in a correct place on diagram or 52 in the correct place on line CD or indicates the angle (52 + x) is equal to 135 or M1 for 135 – 52 or 180 – 45 – 52 oe

0580/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 5 of 6 Question Answer Marks Partial Marks 11 0.037 cao 1 12 Fruit Cost per kg Cost Oranges [$2.35] $7.52 Bananas $2.15 $6.02 3 B1 for 7.52 B1 for 6.02 or B1FT for 13.54 – their 7.52 correctly evaluated provided their 7.52 < 13.54 B1FT for their 6.02 ÷ 2.8 correctly evaluated 13(a) 4800 1 13(b) Point plotted at (54 000, 6100) 1 13(c) Positive 1 14 7m(6k – 5) final answer 2 B1 for 7(6mk – 5m) or m(42k – 35) as final answer or 7m(6k – 5) seen and then spoiled 15 14 2 B1 for answer 2 or 7 or M1 for 2 7 as final answer or [140 =] 2  2  5  7 oe and [126 =] 2  3  3  7 oe or 2 correct factor trees or tables 16(a) n6 final answer 1 16(b) 4x4 final answer 2 B1 for kx4 or 4xh final answer or for correct answer seen then spoiled 17 9.39 nfww or 9.388 to 9.390…. 2 M1 for 59 2   or 59 ÷ 2π oe 18 40 20 4 1 + − M1 20 A1 If M0 scored, SC1 for three of 40, 20, 4 and 1 or for all correct but with trailing zeros e.g. 40.0

0580/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 6 of 6 Question Answer Marks Partial Marks 19 3.5 nfww 3 M2 for   6000 4 100 r  = 6840 – 6000 oe or better or M1 for 6840 6000 4 − seen or   6000 4 100 r  seen 20 66 2 M1 for 14 8 2 + × 6 21(a)(i) 4.5  104 cao 1 21(a)(ii) 6.3  10-3 cao 1 21(b) 1.23  105 cao 2 B1 for 123 000 oe seen 22 286.5 287.5 cao 2 B1 for one correct in correct place or both correct but reversed 23 8400 57000 oe 1 24(a) 1 200 000 1 24(b) 1200 60 1000  80 1000 60  M1 72 1333[.3 …] A1 If M0 scored, SC1 for [speed =] 72 or 1333[.3…] 25 157 to 157.1 nfww 2 M1 for [ 1 2 ]  π  102 oe