Cambridge IGCSE Mathematics (US) 0444 — 2018 Oct/Nov Paper 1 · Variant 3

* 4 7 9 4 0 9 3 1 9 5 * This document consists of 11 printed pages and 1 blank page. DC (LEG/TP) 162421/2 © UCLES 2018 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/13 Paper 1 (Core) October/November 2018 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 0444/13/O/N/18 © UCLES 2018 Formula List Area, A, of triangle, base b, height h. A = 2 1 bh Area, A, of circle, radius r. A = πr2 Circumference, C, of circle, radius r. C = 2πr Lateral surface area, A, of cylinder of radius r, height h. A = 2πrh Surface area, A, of sphere of radius r. A = 4πr2 Volume, V, of prism, cross-sectional area A, length l. V = Al Volume, V, of cylinder of radius r, height h. V = πr2h Volume, V, of sphere of radius r. V = 3 4 πr3

3 0444/13/O/N/18 © UCLES 2018 [Turn over 1 Measure the length of this line in centimeters. … cm [1] 2 Work out 8 5 of 24 kg. … kg [1] 3 Work out $3 as a percentage of $60 . … % [1] 4 Work out. . . 5 0 7 4 5 - … [1] 5 Factor. y y 2 2 - … [1] 6 Jon wants to use a three-dimensional shape to model an apple. Write down the mathematical name of the three-dimensional shape Jon should use. … [1]

4 0444/13/O/N/18 © UCLES 2018 7 On the shape, draw all the lines of symmetry. [2] 8 Share $72 in the ratio 5 : 4. $ … , $ … [2] 9 (a) At noon on Wednesday, the temperature was 5 °C. At midnight, the temperature was 8 °C lower. Work out the temperature at midnight. … °C [1] (b) At noon on Saturday, the temperature was 15 °C. At midnight, the temperature was –3 °C. Work out the difference in these temperatures. … °C [1] 10 Simplify. p q q p 2 3 5 - - - … [2] 11 Write these numbers correct to 2 significant figures. (a) 0.076 499 … [1] (b) 10 100 … [1]

5 0444/13/O/N/18 © UCLES 2018 [Turn over 12 Work out 4 1 3 2 ' . Give your answer as a fraction. … [2] 13 (a) Write the number five million, two hundred, seven in figures. … [1] (b) Write 0.008 13 in scientific notation. … [1] 14 Write down all the factors of 30. … [2] 15 Ethan has a box of toys. He takes a toy at random. Toy Car Train Bus Other Probability 0.2 0.45 0.08 Complete the table. [2] 16 For the line y x 4 6 = - , write down (a) the slope, … [1] (b) the y-intercept. … [1]

6 0444/13/O/N/18 © UCLES 2018 17 B A C x cm 8 cm Q P R 30 cm NOT TO SCALE 20 cm Triangle ABC is similar to triangle PQR. Find the value of x. x = … [2] 18 Complete the mapping diagram for the function f( ) x x 1 = - . x –1 1 2 3 0 – 1 – x … … 0 1 [2] 19 16 7 23 18 73 20 95 17 89 54 For this list of numbers, find (a) the median, … [2] (b) the range. … [1]

7 0444/13/O/N/18 © UCLES 2018 [Turn over 20 (a) NOT TO SCALE 55° 80° 125° x° Find the value of x. x = … [1] (b) B A C D NOT TO SCALE 48° y° ABC is an isosceles triangle and BCD is a straight line. Find the value of y. y = … [2] 21 Work out the size of an interior angle of a regular 20-sided polygon. … [3]

8 0444/13/O/N/18 © UCLES 2018 22 Solve. (a) w 3 7 32 - = w = … [2] (b) 4(5x + 7) = 42 x = … [3] 23 A car travels at 120 km/h for 2 minutes. Work out the distance the car travels. Give your answer in meters. … m [3]

9 0444/13/O/N/18 © UCLES 2018 [Turn over 24 Jo invests $5000 at a rate of 1% per year compound interest. Work out the value of her investment at the end of 2 years. $ … [3] 25 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 0 –2 –3 –4 1 2 3 4 5 6 7 8 y x B A (a) Write down the co-ordinates of point A. ( … , …) [1] (b) Plot the point C at (4, −3). [1] (c) Find the vector AB. AB = f p [1]

10 0444/13/O/N/18 © UCLES 2018 26 (a) g( ) ( ) x x 3 1 = - for x 1 6 G G . (i) Dom thinks that it is possible to find the value of g( ) 7 . Is Dom correct? Explain how you decide. … because … … [1] (ii) The diagram shows the graph of g( ) y x = . 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 x y Write down the range of g( )x . … [1]

11 0444/13/O/N/18 © UCLES 2018 (b) Workers are given extra vacation days according to how many complete years they have worked at a factory. The function h( ) ( ) x x 3 1 = - is used to work out the number of extra vacation days given to a worker who has worked for x complete years. After 5 years, a worker does not receive any further extra vacation days. Write down a suitable domain for h( )x . … [1]

12 0444/13/O/N/18 © UCLES 2018 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 International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. BLANK PAGE

This document consists of 5 printed pages. © UCLES 2018 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education MATHEMATICS 0444/13 Paper 1 (Core) October/November 2018 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 2018 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 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 2018 © UCLES 2018 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 7.4 1 2 15 1 3 5 1 4 0.7 1 5 y(1 – 2y) final answer 1 6 Sphere 1 7 All lines of symmetry drawn 2 B1 each line penalise 1 for each incorrect line 8 40, 32 2 M1 for 72 ÷ (5 + 4) If 0 scored SC1 for both correct but reversed 9(a) −3 1 9(b) 18 1 10 −3p – 4q final answer 2 B1 for −3p – kq or kp − 4q 11(a) 0.076 cao 1 11(b) 10 000 cao 1 12 3 8 oe 2 Accept equivalent fractions M1 for 1 3 4 2 × or 3 12 8 12 ÷ oe 13(a) 5 000 207 1 13(b) 8.13 × 10–3 1 14 1, 2, 3, 5, 6, 10, 15, 30 2 B1 for 4 or more correct factors and none incorrect or 8 correct factors and only 1 extra or 1 × 30, 2 × 15, 3 × 10 and 5 × 6 15 0.27 oe 2 M1 for 1− (0.2 + 0.45 + 0.08) oe

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 Page 4 of 5 Question Answer Marks Partial Marks 16(a) 4 cao 1 16(b) −6 cao 1 17 12 2 M1 for 20 ÷ 8 oe or 30 8 20 x = oe or correct scale factor 18 2 1 3 2 B1 for each 19(a) 21.5 2 M1 for at least the first or last 6 values listed in order or 20 and 23 identified 19(b) 88 1 20(a) 100 1 20(b) 114 2 M1 for (180 – 48) ÷ 2 21 162 3 M2 for 180 – (360 ÷ 20) oe or M1 for 360 ÷ 20 soi by 18 22(a) 13 2 M1 for 3w = 32 + 7 or 7 32 3 3 w − = 22(b) 0.7 or 7 10 3 M1 for first correct step M1 for second correct step, FT their first step 23 4000 3 M2 for 120 1000 2 60 × × oe or M1 for 120 1000 60 × oe or for speed × time 24 5100.5[0] 3 M2 for 2 1 5000 1 100   +     oe or M1 for finding 1% of their 5050 If 0 scored SC1 for 100.5[0] 25(a) (5, 3) 1 25(b) Point plotted at (4, −3) 1 25(c) 8 2 −       1

0444/13 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2018 © UCLES 2018 Page 5 of 5 Question Answer Marks Partial Marks 26(a)(i) No with valid explanation e.g. 7 is not in the domain of g 1 26(a)(ii) 0 ⩽ g(x) ⩽ 15 1 26(b) 1, 2, 3, 4, 5 1