Cambridge IGCSE Mathematics (US) 0444 — 2019 May/June Paper 1 · Variant 1

This document consists of 12 printed pages. DC (LEG/TP) 192564/2 © UCLES 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education * 7 2 4 4 2 4 7 6 3 3 * MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 2019 1 hour Candidates answer on the Question Paper. Additional Materials: Geometrical instruments READ THESE INSTRUCTIONS FIRST Write your center number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. CALCULATORS MUST NOT BE USED IN THIS PAPER. All answers should be given in their simplest form. If work is needed for any question it must be shown in the space provided. The number of points is given in parentheses [ ] at the end of each question or part question. The total of the points for this paper is 56.

2 0444/11/M/J/19 © UCLES 2019 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/19 © UCLES 2019 [Turn over 1 Write 4 3 as a decimal. … [1] 2 Work out $4 as a percentage of $16. …% [1] 3 Factor 5y - 6py. … [1] 4 A bag contains green balls and red balls only. A ball is taken at random from the bag. The probability of taking a green ball is 0.3 . Write down the probability of taking (a) a red ball, … [1] (b) a blue ball. … [1]

4 0444/11/M/J/19 © UCLES 2019 5 (a) On Monday the temperature at midday is 4 °C and the temperature at midnight is -3 °C. Work out the difference between these two temperatures. …°C [1] (b) On Wednesday the temperature at midday is -1 °C. By 7 pm the temperature has fallen by 4 °C. Work out the temperature at 7 pm. …°C [1] 6 The volume of a cuboid is 180 cm3. The base of the cuboid has an area of 30 cm2. Work out the height of this cuboid. … cm [2] 7 Write the following numbers in scientific notation. (a) 640 000 … [1] (b) 0.0006 … [1]

5 0444/11/M/J/19 © UCLES 2019 [Turn over 8 Work out. (a) 14 2 3 # - … [1] (b) 8 3 - … [1] (c) 12 11 2 2 - … [2] 9 Asif and Ben share $2100 in the ratio Asif : Ben = 3 : 7. Work out how much Asif receives. $ … [2]

6 0444/11/M/J/19 © UCLES 2019 10 – 2 – 1 1 0 2 3 4 5 x 5 4 2 3 1 – 1 – 2 – 3 y A B A is the point (−1, 4) and B is the point (3, −2). (a) Work out AB. AB = f p [1] (b) Find the co-ordinates of the midpoint of the line AB. ( … , … ) [1] 11 Simplify. (a) t21 ÷ t7 … [1] (b) (u5)5 … [1]

7 0444/11/M/J/19 © UCLES 2019 [Turn over 12 A groundskeeper is planning the shape of a new sports area in a park. NOT TO SCALE A C D B 20 m 20 m 20 m 20 m He draws a quadrilateral ABCD to represent an area to be covered with turf. The sides of ABCD are each 20 meters in length. AC = BD (a) Write down the mathematical name of the quadrilateral ABCD. … [1] (b) Turf is sold in rolls that each cover an area of 25 square meters. Find the minimum number of rolls of turf that the groundskeeper needs to order to cover the whole of the quadrilateral ABCD. … [2]

8 0444/11/M/J/19 © UCLES 2019 13 . . . p 1 9 0 47 3 8 = + ^ h (a) By writing each number correct to 1 significant figure, work out an estimate for p. You must show all your working. … [2] (b) Is your answer to part (a) an overestimate or an underestimate for the value of p? Explain how you decide. … … [1] 14 27 28 29 30 31 32 33 From the list of numbers, write down (a) a multiple of 7, … [1] (b) a cube number, … [1] (c) a prime number. … [1] 15 Work out 6 5 3 2 + . Give your answer as a mixed number in its simplest form. … [3]

9 0444/11/M/J/19 © UCLES 2019 [Turn over 16 These are the first four terms of a sequence. 5 8 11 14 (a) Write down the next term. … [1] (b) Find an expression, in terms of n, for the nth term. … [2] 17 NOT TO SCALE 65° 40° 65° 40° 75° 75° A C B 18 cm 27 cm 6 cm Q R P (a) Explain why triangle ABC and triangle PQR are similar. … … [1] (b) Find AC. AC = … cm [2]

10 0444/11/M/J/19 © UCLES 2019 18 A car travels at a constant speed of 20 m/s. Work out the time it takes for the car to travel 18 km. Give your answer in minutes. … minutes [3] 19 (a) On each shape, draw all the lines of symmetry. (i) [1] (ii) [2] (b) Write down the name of a quadrilateral that has • rotational symmetry of order 2 and • exactly two lines of symmetry. … [1]

11 0444/11/M/J/19 © UCLES 2019 [Turn over 20 The mapping diagram shows the domain and range of the function f( )x kx = . x – 1 0 1 2 f(x) – 5 0 5 10 Find the value of k. k = … [1] 21 The diagram shows a point P and a line L. – 2 – 3 – 4 – 1 1 0 2 3 4 x 4 2 3 1 – 1 – 2 – 3 – 4 y P L (a) Write down the co-ordinates of point P. (… , …) [1] (b) Find the slope of line L. … [2] (c) Write down the equation of line L in the form y = mx + b. y = … [2] Question 22 is printed on the next page.

12 0444/11/M/J/19 © UCLES 2019 22 (a) Change 3670 centimeters to meters. …m [1] (b) The scale drawing shows the positions of town S and town T. The scale is 1 centimeter represents 10 kilometers. North S North T Scale: 1 cm to 10 km (i) Find the actual distance between these two towns. …km [2] (ii) Measure the bearing of town T from town S. … [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 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 2019 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 2019 series for most Cambridge IGCSE™, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 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 2019 © UCLES 2019 Page 3 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 [0].75 1 2 25 1 3 y(5 – 6p) final answer 1 4(a) [0].7 oe 1 4(b) 0 1 5(a) 7 1 5(b) −5 1 6 6 2 M1 for 180 ÷ 30 oe 7(a) 6.4 × 105 1 7(b) 6 × 10-4 1 8(a) 8 1 8(b) −2 1 8(c) 23 2 M1 for 144 – 121 seen 9 630 2 M1 for 2100 ÷ (3 + 7) [× 3] soi 210 10(a) 4 6     −   1 10(b) (1, 1) 1 11(a) t14 final answer 1 11(b) u25 final answer 1 12(a) Square 1 12(b) 16 2 M1 for 20 20 25 × oe

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Partial Marks 13(a) 2( 0.5 + √4 ) M1 5 A1 13(b) Valid explanation 1 e.g. An overestimate as all the values have been rounded up [and the operations are multiplication and addition] 14(a) 28 1 14(b) 27 1 14(c) 29 or 31 1 15 1 1 2 cao 3 B2 for 9 6 oe or M1 for 5 6 + 4 6 or for 2 correct fractions with a suitable common denominator 6k 16(a) 17 1 16(b) 3n + 2 oe final answer 2 B1 for 3n + k or cn + 2 (c ≠ 0) 17(a) angle A = angle P, angle B = angle Q, angle C = angle R 1 accept any two of these or any other correct reason 17(b) 9 2 M1 for 27 ÷ 3 or B1 for 18 6 or 6 18 or 18 27 or 27 18 or for [sf=] 3 or 1 3 or 2 3 or 1.5 oe 18 15 3 M1 for 18 20 [× 1000] A1 for 0.9 or 900 B1 for correctly converting their answer in seconds providing their answer is > 60 19(a)(i) 2 correct lines of symmetry only 1 19(a)(ii) 4 correct lines of symmetry only 2 B1 for only 2 or 3 correct lines of symmetry 19(b) Rectangle or rhombus 1 20 5 1

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Partial Marks 21(a) −3, −1 1 21(b) 1.5 oe 2 M1 for rise ÷ run e.g. 6 4 21(c) [y =] 1.5x − 1 oe 2 B1 for jx − 1 j ≠ 0 or 1.5x + k or their(b)x + k 22(a) 36.7[0] 1 22(b)(i) 78 2 B1 for 7.8 22(b)(ii) 136 1