Cambridge IGCSE Mathematics (US) 0444 — 2020 Oct/Nov Paper 1 · Variant 3

Cambridge IGCSE™ DC (LK/CGW) 196714/2 © UCLES 2020 [Turn over This document has 12 pages. Blank pages are indicated. * 9 5 3 5 3 5 6 4 7 4 * MATHEMATICS (US) 0444/13 Paper 1 (Core) October/November 2020 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, center 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. ● Calculators must not be used in this paper. ● You may use tracing paper. ● You must show all necessary work clearly. ● All answers should be given in their simplest form. INFORMATION ● The total mark for this paper is 56. ● The number of marks for each question or part question is shown in parentheses [ ].

2 0444/13/O/N/20 © UCLES 2020 Formula List Area, A, of triangle, base b, height h. A bh 2 1 = Area, A, of circle, radius r. A r2 r = Circumference, C, of circle, radius r. C r 2r = Lateral surface area, A, of cylinder of radius r, height h. A rh 2r = Surface area, A, of sphere of radius r. A r 4 2 r = Volume, V, of prism, cross-sectional area A, length l. V Al = Volume, V, of cylinder of radius r, height h. V r h 2 r = Volume, V, of sphere of radius r. V r 3 4 3 r =

3 0444/13/O/N/20 © UCLES 2020 [Turn over 1 This bar chart shows the amount of rainfall, in mm, for each month of one year in a city. 0 Jan Feb Mar Apr May Jun Month Jul Aug Sep Oct Nov Dec 10 20 30 40 Rainfall (mm) 50 60 (a) Write down the month with the least amount of rainfall. … [1] (b) This bar chart shows the number of days it rained each month for the same year in this city. 0 Jan Feb Mar Apr May Jun Month Jul Aug Sep Oct Nov Dec 5 10 15 20 Number of days Mia says that the months with the most rainfall also have the greatest number of days it rained. Explain why she is wrong. … … [1]

4 0444/13/O/N/20 © UCLES 2020 2 Complete this bill. 2 kg potatoes at $2.52 per kg $ … … kg bananas at $1.50 per kg $ … Total = $ 11.04 [3] 3 (a) Write 97.4236 correct to 3 decimal places. … [1] (b) Find 8 3 - . … [1] 4 Write down the order of rotational symmetry of each shape. … … [2]

5 0444/13/O/N/20 © UCLES 2020 [Turn over 5 The mean of five numbers is 16. Four of these numbers are 12, 20, 19, and 11. Find the fifth number. … [2] 6 In triangle ABC, BC = 7.6 cm and AC = 6.2 cm. Using a compass and ruler only, construct triangle ABC. Leave in your construction arcs. The side AB has been drawn for you. A B [2]

6 0444/13/O/N/20 © UCLES 2020 7 (a) This table shows the temperature, in °C, at midnight and at 3 pm for four cities on the same day. City Temperature at midnight (°C) Temperature at 3 pm (°C) Sydney 21 28 Oslo –3 1 Toronto –18 –8 Seoul –5 4 Use the table to complete this statement. The city with the biggest difference in temperature between midnight and 3 pm is … with a difference of …°C. [2] (b) The temperature at midnight in Moscow was –11 °C. At 3 pm the temperature has increased by 5 °C. Work out the temperature at 3 pm. … °C [1] 8 Megan changes 20 pounds (£) into dollars when the exchange rate is £1 = $1.20 . Work out how many dollars she receives. $ … [1] 9 ( ) f x x 4 3 = + Find the value of f(0). … [1]

7 0444/13/O/N/20 © UCLES 2020 [Turn over 10 Ethan invests $6400 at a rate of 2% per year simple interest. Work out the total value of his investment at the end of 3 years. $ … [3] 11 A straight line, l, has equation y x 5 12 = + . (a) Write down the slope of line l. … [1] (b) Find the coordinates of the point where line l crosses the x-axis. ( … , …) [2] 12 ( ) g x x 8 = (a) Solve g(x) = 5. x = … [1] (b) Solve ( ) g x x 2 10 + = . x = … [2]

8 0444/13/O/N/20 © UCLES 2020 13 A gift box has length 25 cm, width 20 cm, and height 10 cm. 10 cm 25 cm NOT TO SCALE 20 cm (a) Leanne wraps a piece of ribbon around the sides of the gift box and ties it into a bow. The piece of ribbon is 1.22 meters long. How many centimeters of ribbon does Leanne use to make the bow? … cm [3] (b) Find the volume of the gift box. … cm3 [2]

9 0444/13/O/N/20 © UCLES 2020 [Turn over 14 NOT TO SCALE 6 cm 12 cm 11 cm 7 cm x cm The area of the parallelogram is the same as the area of the trapezoid. Work out the value of x. x = … [3] 15 Share $60 in the ratio 7 : 5. $ … , $ … [2]

10 0444/13/O/N/20 © UCLES 2020 16 By writing each number correct to 1 significant figure, estimate the value of . . . . 7 5 2 1 3 4 13 2 # - . You must show all your working. … [2] 17 A bag contains 7 red disks, 5 green disks, and 2 pink disks. Helen takes one disk at random, records the color, and replaces it in the bag. She does this 140 times. Find how many times she expects to take a green disk. … [2] 18 Expand and simplify. ( ) ( ) m m 4 2 3 5 2 + - - … [2]

11 0444/13/O/N/20 © UCLES 2020 [Turn over 19 Ramond walks 800 meters in 10 minutes. Work out Ramond’s average speed in kilometers per hour. … km/h [3] 20 A regular polygon has an exterior angle of 20°. Work out the number of sides of this polygon. … [1] 21 Work out 1 7 1 2 10 1 # . Give your answer as a mixed number in its simplest form. … [3] Questions 22 and 23 are printed on the next page.

12 0444/13/O/N/20 © UCLES 2020 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. 22 NOT TO SCALE 7 cm 11 cm x cm Alisha says that the value of x must be between 8 and 9. Show that Alisha is correct. [3] 23 Solve the system of linear equations. You must show all your working. x y 4 4 + = x y 3 8 22 - = x = … y = … [3]

This document consists of 5 printed pages. © UCLES 2020 [Turn over Cambridge IGCSE™ MATHEMATICS (US) 0444/13 Paper 1 (Core) October/November 2020 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 2020 series for most Cambridge IGCSE™, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 2 of 5 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.

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 3 of 5 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. 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

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 4 of 5 Question Answer Marks Partial Marks 1(a) Feb 1 1(b) September and October have most rainfall, June has most rain days oe 1 2 5.04 4 6[.00] 3 B1 for 5.04 B1FT for 6[.00] B1FT for 4 3(a) 97.424 1 3(b) −2 1 4 4 2 2 B1 for each 5 18 2 M1 for 5 × 16 6 Accurate triangle with correct construction arcs 2 B1 for accurate triangle with no/incorrect arcs or SC1 for accurate triangle with arcs with sides interchanged 7(a) Toronto 10 2 B1 for each 7(b) –6 1 8 24 1 9 3 1 10 6784 final answer 3 M2 for 6400 2 3 6400 100 × × + or M1 for 6400 2 3 100 × × soi by 384 11(a) 5 1 11(b) ( 12 5 − oe, 0) 2 M1 for 5x + 12 = 0 12(a) 5 8 isw 1 12(b) 1 2 M1 for 10x – 8x = 2 oe 13(a) 32 3 M2 for 122 – (25 + 20 + 25 + 20) or M1 for 25 + 20 + 25 + 20 13(b) 5000 2 M1 for 25 × 20 × 10

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2020 © UCLES 2020 Page 5 of 5 Question Answer Marks Partial Marks 14 8 3 M2 for ½ × (7 + 11) × x = 12 × 6 or better or M1 for 12 × 6 or ½ × (7 + 11) × x 15 35, 25 2 M1 for 60 ÷ (7 + 5) 16 3 10 8 2 × − M1 Allow M1 for 3 out of 4 values correctly rounded or for all correct but with trailing zeros 5 nfww A1 Dep on 3 10 8 2 × − 17 50 2 M1 for 5 7 5 2 + + [× 140] or 140 7 5 2 + + [× 5] 18 3m + 22 final answer 2 B1 for 8m + 12 or –5m + 10 or jm + 22 or 3m + k as final answer 19 4.8 3 M2 for 800 6 1000 × oe or M1 for 800 ÷ 1000 or 800 × 6 or 800 10 oe or B1 for 0.8 or 4800 seen 20 18 1 21 2 2 5 cao final answer 3 B2 for 168 70 oe improper fractions or B1 for 8 7 or 21 10 oe improper fractions 22 112 – 72 soi or better M2 M1 for x2 + 72 = 112 or better 72 is between 64 and 81 oe A1 23 Correct elimination of one variable M1 [x =] 6 [y =] –0.5 oe A2 A1 for either correct If M0 scored, SC1 for 2 values satisfying one of the original equations