Cambridge IGCSE Mathematics (9-1) 0980 — 2022 May/June Paper 1 · Variant 2

This document has 12 pages. Any blank pages are indicated. [Turn over Cambridge IGCSE™(9–1) DC (CJ) 311583 © UCLES 2022 * 9 0 4 5 8 0 4 1 1 4 * MATHEMATICS 0980/12 Paper 1 (Core) May/June 2022 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 [ ].

2 0980/12/M/J/22 © UCLES 2022 1 Write the number six hundred and seven thousand five hundred and thirty-two in figures. … [1] 2 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a square number, … [1] (b) a multiple of 13, … [1] (c) a factor of 186, … [1] (d) the prime numbers. … [2] 3 On the grid, draw a triangle that is congruent to triangle A. A [1]

3 0980/12/M/J/22 © UCLES 2022 [Turn over 4 The stem-and-leaf diagram shows the journey time to school of some students. 1 3 5 7 9 9 2 3 4 5 3 0 3 4 6 7 Key: 1 3 represents 13 minutes 4 2 4 5 8 Find (a) the number of students with a journey time of more than 35 minutes, … [1] (b) the mode. … min [1] 5 This is Arania’s method to divide 213 by 12 2 1 without using a calculator. 213 12 2 1 ' 426 25 ' = 852 50 ' = 1704 100 ' = . 17 04 = Show how to use Arania’s method to work out 135 12 2 1 ' without using a calculator. [2]

4 0980/12/M/J/22 © UCLES 2022 6 Sammy records the favourite hot drink of some students. He draws a bar chart to show this information. 0 1 2 4 Frequency 6 8 10 Hot chocolate Coffee Tea Write down two different reasons why his bar chart is incorrect. 1. … 2. … [2] 7 Put one pair of brackets into each calculation to make it correct. (a) 6 7 5 4 16 # - + = [1] (b) 2 24 12 4 2 2 ' - + - = [1]

5 0980/12/M/J/22 © UCLES 2022 [Turn over 8 At noon, the temperature is 4 °C. At midnight, the temperature is 9 - °C. Work out the difference in temperature between noon and midnight. … °C [1] 9 Thibault records the number of cars of each colour in a car park. Colour Black White Silver Red Number of cars 8 5 4 3 (a) He draws a pie chart to show this information. Calculate the sector angle for the red cars. … [2] (b) Two more white cars enter the car park and no cars leave the car park. When these two white cars are included in the results, will the sector angle for the red cars change? Without doing any further calculations, give a reason for your decision. … because … [1]

6 0980/12/M/J/22 © UCLES 2022 10 2 8 p = e o q 1 4 = - e o Find (a) p q - , f p [1] (b) 6p. f p [1] 11 Find the total surface area of a cuboid with length 8 cm, width 6 cm and height 3 cm. … cm2 [3] 12 (a) The total cost of n bags of flour is $d. Write down an expression for the cost of one bag of flour. $ … [1] (b) A bag of rice costs $r and a bag of almonds costs $a. Pedro buys x bags of rice and y bags of almonds. Write down an expression for the change that Pedro receives from a $20 note. $ … [2]

7 0980/12/M/J/22 © UCLES 2022 [Turn over 13 (a) Find the value of 68 153 # . … [1] (b) Find the value of 6789 3 1. Give your answer correct to 2 decimal places. … [2] 14 Write the ratio 5 10 1 # - : 2 : 3 101 # in its simplest form. … : … : … [2] 15 The nth term of a sequence is n 12 2 + . (a) Find the first three terms of this sequence. … , … , … [2] (b) Is 5196 a term in this sequence? Give a reason for your decision. … because … … [2]

8 0980/12/M/J/22 © UCLES 2022 16 % 33 3 1 r 13 1 343 3 1 3 .5 6 10 7 # - Two of the numbers in this list are irrational. Put a ring around each of these irrational numbers. [1] 17 9 9 9 x 2 12 # = Find the value of x. x = … [1] 18 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of . . . 845 4 0 048 27 2 32 # - . … [2]

9 0980/12/M/J/22 © UCLES 2022 [Turn over 19 The length, l metres, of a piece of rope is 30.7 m, correct to 1 decimal place. Complete this statement about the value of l. … l 1 G … [2] 20 (a) Simplify. ( ) a b b 3 2 - - … [2] (b) Factorise. x xy 8 2 - … [1] 21 Find the lowest common multiple (LCM) of 24 and 28. … [2]

10 0980/12/M/J/22 © UCLES 2022 22 North NOT TO SCALE B A The bearing of B from A is 059°. Work out the bearing of A from B. … [2] 23 Without using a calculator, work out 4 8 1 2 6 5 - . You must show all your working and give your answer as a mixed number in its simplest form. … [3]

11 0980/12/M/J/22 © UCLES 2022 24 NOT TO SCALE 14 m 5 m 53° A D B C The diagram shows two right-angled triangles, ABD and BCD. AD 5m = , DC 14m = and angle ° BAD 53 = . Calculate BC. BC = … m [4]

12 0980/12/M/J/22 © UCLES 2022 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 2022 [Turn over Cambridge IGCSE™ (9–1) MATHEMATICS 0980/12 Paper 1 (Core) May/June 2022 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 2022 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 2022 © UCLES 2022 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 2022 © UCLES 2022 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 2022 © UCLES 2022 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 1 607 532 1 2(a) 64 1 2(b) 65 1 2(c) 62 1 2(d) 61 67 cao 2 B1 for each or for two correct and one extra 3 A congruent triangle drawn 1 4(a) 6 1 4(b) 19 1 5 270 ÷ 25 M1 [=] 540 ÷ 50 [=] 1080 ÷ 100 [=] 10.8[0] A1 6 Bars are not the same width oe Frequency scale is not linear oe 2 B1 for each. 7(a) 6 × ሺ 7 −5 ሻ+ 4 = 16 1 7(b) (−2 )ଶ+ 24 ÷ 12 − 4 = 2 1 8 13 or −13 1 9(a) 54 2 M1 for 360 3 [ 3] or [ 360] 8 5 4 3 8 5 4 3         oe 9(b) Yes [because] the proportion of red cars will be smaller oe 1 10(a) 3 4    1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2022 © UCLES 2022 Page 5 of 6 Question Answer Marks Partial Marks 10(b) 12 48       1 11 180 3 M2 for    2 8 6 8 3 3 6    oe or M1 for 8 × 6 or 8 × 3 or 3 × 6 12(a) d n oe 1 12(b) 20 – rx – ay oe 2 B1 for rx and ay seen and not spoilt 13(a) 102 1 13(b) 18.94 cao 2 B1 for 18.9 or 18.93 or 18.935… If zero scored, SC1 for rounding their value correctly to 2 decimal places 14 1 : 4 : 60 2 B1 for 0.5[:2:]30 oe 15(a) 13, 16, 21 2 B1 for 2 correct terms in correct position or SC1 for 12, 13, 16 15(b) Yes 72  n 2 M1 for 2 12   n 5196 or better or for a correct worded description for finding n or for 5184 is a square number 16 π 3 cao 1 17 10 cao 1 18 2 30 2 800 0.05   M1 0.65 A1 If M0 scored, SC1 for 3 correct values or all correct but with any trailing zeros 19 30.65, 30.75 2 B1 for each or if zero scored, SC1 for both answers correct but reversed 20(a) 6a – 4b final answer 2 B1 for 6a or −4b in final answer or for 6 4  a b spoilt 20(b) x(x – 8y) final answer 1

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2022 © UCLES 2022 Page 6 of 6 Question Answer Marks Partial Marks 21 168 2 B1 for 168k as final answer or M1 for [24 =] 2 × 2 × 2 × 3 and [28 =] 2 × 2 × 7 or 2 correct factor trees or tables or a list of multiples of both 24 and 28 with at least 3 of each or 2 × 2 × 2 × 3 × 7 22 239 2 M1 for 1 80 59  or   360 180 59   oe or indicates correct angle on diagram 23 33 8 or 17 6 1 5 28 6  B1 Correct step for dealing with mixed numbers Allow 33 8 k k or 17 6 k k 99 24 and 68 24 3 20 2 24 24  M1 Correct method to find common denominator e.g. 3 4 24 and 20 2 24 7 124 cao and correct working A1 24 15.5 or 15.49… 4 M3 for   2 2 5 tan53 14   OR M2 for 5 tan53  or M1 for tan[53=] 5 x and M1 for 2 2 14 ( ) theirBD