Cambridge IGCSE Mathematics (US) 0444 — 2020 May/June Paper 1 · Variant 1

Cambridge IGCSE™ This document has 12 pages. Blank pages are indicated. DC (CE/SW) 190964/3 © UCLES 2020 [Turn over MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 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 [ ]. * 6 5 3 2 9 1 7 9 5 6 *

2 0444/11/M/J/20 © UCLES 2020 Formula List Area, A, of triangle, base b, height h. A = 2 1 bh Area, A, of circle, radius r. A = rr2 Circumference, C, of circle, radius r. C = 2rr Lateral surface area, A, of cylinder of radius r, height h. A = 2rrh Surface area, A, of sphere of radius r. A = 4rr2 Volume, V, of prism, cross-sectional area A, length l. V = Al Volume, V, of cylinder of radius r, height h. V = rr2h Volume, V, of sphere of radius r. V = 3 4 rr3

3 0444/11/M/J/20 © UCLES 2020 [Turn over 1 Write down the value of the 7 in the number 570 296. … [1] 2 Marlon takes a test every month for five months. The table shows his results. Jan Feb Mar Apr May 52 48 74 66 60 Work out the mean. … [2] 3 Write these numbers in order, starting with the smallest. 13 100 5% 0.07 2 6 5 … < … < … < … [2] smallest

4 0444/11/M/J/20 © UCLES 2020 4 (a) On each shape draw all the lines of symmetry. [3] (b) Write down the order of rotational symmetry of this shape. … [1] 5 30° A B C D NOT TO SCALE In the triangle ABC, AB = AC and angle BAC = 30°. BCD is a straight line. Work out angle ACD. Angle ACD = … [3]

5 0444/11/M/J/20 © UCLES 2020 [Turn over 6 The table shows the temperature, in °C, at midday for 5 days in winter in a town in Greenland. Monday Tuesday Wednesday Thursday Friday −4 −8 −19 −17 −14 (a) Work out the difference between the temperature on Tuesday and the temperature on Thursday. … °C [1] (b) On Friday, the temperature at midnight is 8 °C colder than the temperature at midday. Find the temperature at midnight. … °C [1] 7 (a) Diana flies from London to New York. Her flight leaves at 16 45 and arrives at 19 55 local time. The local time in New York is 5 hours behind the local time in London. Work out, in hours and minutes, the time the flight takes. … h … min [2] (b) Diana changes £200 into dollars. The exchange rate is £1 = $1.30 . Work out how many dollars she receives. $ … [1] (c) The distance between New York and London is 5600 km. Diana’s return flight takes 7 hours. Work out the average speed, in km/h, for the return flight. … km/h [1]

6 0444/11/M/J/20 © UCLES 2020 8 Rectangle A measures 3 cm by 8 cm. A 8 cm 3 cm NOT TO SCALE Five rectangles congruent to A are joined to make a shape. NOT TO SCALE Work out the perimeter of this shape. … cm [2] 9 Find the highest odd number that is a factor of 30 and a factor of 45. … [1] 10 Elmer has a bag of candy. Each candy is green, red, black, yellow, or orange. He takes a candy from the bag at random. Color Green Red Black Yellow Orange Probability 0.3 0.25 0.1 0.2 Complete the table. [2]

7 0444/11/M/J/20 © UCLES 2020 [Turn over 11 y x – 4 – 3 – 2 – 1 – 1 1 2 Q P 3 4 0 – 2 – 3 – 4 1 2 3 4 (a) Write PQ as a column vector. f p [1] (b) QR 1 1 = - b l Find the coordinates of R. (… , …) [1] 12 Work out the size of one interior angle of a regular 9-sided polygon. … [2]

8 0444/11/M/J/20 © UCLES 2020 13 A sphere has radius 5 cm. Work out the surface area of the sphere. Give your answer in terms of r. … cm2 [2] 14 (a) The nth term of a sequence is n 60 8 - . Find the largest number in this sequence. … [1] (b) Here are the first five terms of a different sequence. 12 19 26 33 40 Find an expression for the nth term of this sequence. … [2] 15 Factor completely. a ab 21 28 2 + … [2]

9 0444/11/M/J/20 © UCLES 2020 [Turn over 16 The diagram shows a trapezoid. NOT TO SCALE ( )° x 9 3 2- ( )° x 5 70+ Work out the value of x. x = … [3] 17 Simplify. p q p q 5 3 2 4 # - … [2] 18 Solve for x. y x 2 5 = - x = … [2]

10 0444/11/M/J/20 © UCLES 2020 19 Mrs Salaman gives her class two mathematics tests. The scatter diagram shows information about the marks each student scored. Test 2 70 60 50 40 30 20 10 0 Test 1 0 10 20 30 40 50 60 70 (a) Write down the highest mark scored on test 1. … [1] (b) Write down the type of correlation shown in the scatter diagram. … [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) Hamish scored a mark of 40 on test 1. He was absent for test 2. Use your line of best fit to find an estimate for his mark on test 2. … [1]

11 0444/11/M/J/20 © UCLES 2020 [Turn over 20 One cubic centimeter of a metal has a mass of 11 grams. Work out the mass, in kilograms, of 1 cubic meter of this metal. … kg [2] 21 Work out 2 3 1 8 7 25 6 # - e o . Give your answer as a fraction in its simplest form. … [4] 22 P B C A R Q 65° 78° 78° 37° NOT TO SCALE Explain why triangle ABC is similar to triangle PQR. … … [2] Question 23 is printed on the next page.

12 0444/11/M/J/20 © UCLES 2020 23 y x – 3 – 2 – 1 – 1 1 2 3 4 5 6 0 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 L (a) Find the equation of line L in the form y = mx + b. y = … [2] (b) On the grid, draw a line that is perpendicular to line L. [1] 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.

This document consists of 5 printed pages. © UCLES 2020 [Turn over Cambridge IGCSE™ MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 2020 MARK SCHEME Maximum Mark: 56 Published Students did not sit exam papers in the June 2020 series due to the Covid-19 global pandemic. This mark scheme is published to support teachers and students and should be read together with the question paper. It shows the requirements of the exam. The answer column of the mark scheme shows the proposed basis on which Examiners would award marks for this exam. Where appropriate, this column also provides the most likely acceptable alternative responses expected from students. Examiners usually review the mark scheme after they have seen student responses and update the mark scheme if appropriate. In the June series, Examiners were unable to consider the acceptability of alternative responses, as there were no student responses to consider. Mark schemes should usually be read together with the Principal Examiner Report for Teachers. However, because students did not sit exam papers, there is no Principal Examiner Report for Teachers for the June 2020 series. Cambridge International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the June 2020 series for most Cambridge IGCSE™ and Cambridge International A & AS Level components, and some Cambridge O Level components.

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 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.

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 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.

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2020 © UCLES 2020 Page 4 of 5 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 70 000 1 2 60 2 M1 for (52 + 48 + 74 + 66 + 60) ÷ 5 3 5% 0.07 13 100 6 25 2 B1 for 3 in correct order or M1 for any two of 0.13 or 0.05 or 0.24 oe seen 4(a) Three correct lines B2 B1 for one or more correct lines and no wrong lines One correct line B1 4(b) 2 1 5 105 3 M1 for (180 – 30) ÷ 2 oe M1 for 180 – their ACB or 30 + their ABC 6(a) 9 1 6(b) −22 1 7(a) 8[h] 10[min] 2 B1 for 08 50 or 15 55 or 6[h] 55[min] seen or M1 for attempting to find the difference between 19 55 and 16 45 and add 5 hours 7(b) 260 1 7(c) 800 1 8 86 2 M1 for correct method to find the perimeter e.g. (8 + 3) × 2 × 5 – 3 × 8 If 0 scored, SC1 for answer 98 9 15 1 10 [0].15 2 M1 for 1 – (0.3 + 0.25 + 0.1 + 0.2) soi or B1 for 0.85 11(a) 5 3 −       1

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2020 © UCLES 2020 Page 5 of 5 Question Answer Marks Partial Marks 11(b) (−2, 1) 1 12 140 2 M1 for 360 ÷ 9 or better 13 100π cao 2 M1 for 4 × π × 52 or better 14(a) 52 1 14(b) 7n + 5 oe final answer 2 B1 for 7n + a or bn + 5 b ≠ 0 15 7a(3a + 4b) final answer 2 B1 for partial factoring 7(3a2 + 4ab) or a(21a + 28b) 16 9 3 M2 for 162 + 2x = 180 or better or M1 for 92 – 3x + 70 + 5x = 180 oe 17 p7q−1 final answer 2 B1 for p7qa or pbq−1 or b p q , a, b ≠ 0 18 5 2 + y oe final answer 2 M1 for a correct rearrangement M1 for correct division by 2 19(a) 66 1 19(b) Positive 1 19(c) Ruled line of best fit 1 19(d) 46 to 50 1 FT their line of best fit if a positive gradient 20 11 000 2 M1 for (11 × 1 000 000) ÷ 1000 21 7 20 4 M2 for correct method for common denominator e.g. 56 21 24 24 − or B1 for 7 3 M1 for 35 6 24 25 × their 22 Angle ACB = 65° or Angle RPQ = 37° M1 2 pairs of equal angles oe A1 23(a) 2x − 3 2 B1 for kx – 3 k ≠ 2 or 0 or 2x + k k ≠ −3 23(b) Ruled line perpendicular to L 1