Cambridge IGCSE Mathematics (US) 0444 — 2018 May/June Paper 1 · Variant 1

* 7 0 1 3 4 5 4 2 3 3 * This document consists of 11 printed pages and 1 blank page. DC (ST/JG) 156010/2 © UCLES 2018 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 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 0444/11/M/J/18 © UCLES 2018 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/18 © UCLES 2018 [Turn over 1 Write 4647 correct to the nearest 100. … [1] 2 Write 0.007 as a fraction. … [1] 3 The diagram shows a quadrilateral. 95° 80° x° 45° NOT TO SCALE Find the value of x. x = … [1] 4 The nth term of a sequence is 5n - 3. Write down the first three terms of the sequence. … , … , … [1] 5 (a) Write 0.002 68 correct to 2 significant figures. … [1] (b) Write 0.000 038 7 in scientific notation. … [1]

4 0444/11/M/J/18 © UCLES 2018 6 Find the value of 7x + 3y when x = 12 and y = -6. … [2] 7 x° 43° Q T C B S P A NOT TO SCALE The diagram shows two parallel lines PAQ and SBCT. AB = AC and angle QAC = 43°. Find the value of x. x = … [2] 8 Solve the equation y 8 2 7 + = . y = … [2]

5 0444/11/M/J/18 © UCLES 2018 [Turn over 9 (a) Change 6.54 kilometers into meters. … m [1] (b) Change 7850 cm3 into liters. … liters [1] 10 The table shows the temperatures in a school yard at 8 am for five days in January. Day Temperature (°C) Monday −7 Tuesday −12 Wednesday −3 Thursday −4 Friday −5 (a) Which day was the warmest? … [1] (b) Find the difference between the temperature on Monday and the temperature on Tuesday. …°C [1] (c) Between 8 am and 3 pm on Thursday, the temperature increased by 6 °C. Find the temperature at 3 pm on Thursday. …°C [1] 11 Expand and simplify. 6(2y - 3) - 5(y + 1) … [2]

6 0444/11/M/J/18 © UCLES 2018 12 Complete the mapping diagram for the function ( ) . x x 0 5 1 f = + . x –2 0 3 … … 0.5x + 1 0 1 6 [2] 13 Work out the least common multiple (LCM) of 18 and 21. … [2] 14 Work out the size of one exterior angle of a regular octagon. … [2]

7 0444/11/M/J/18 © UCLES 2018 [Turn over 15 Enlarge the rectangle using a scale factor of 3 and center of enlargement O. O [2] 16 (a) A box contains 3 blue pens, 4 red pens, and 8 green pens only. A pen is chosen at random from the box. Find the probability that this pen is green. … [1] (b) A cube has only one of its six faces painted yellow. This cube is rolled 240 times. Work out the expected number of times that it lands on the yellow face. … [1] 17 (a) Simplify. 4 ( ) x3 … [1] (b) 4 16 1 w = Find the value of w. w = … [1] 18 r 3 2 - 3 7 4 33.3% 3 .0 3 3999 From this list, write down the two numbers that are irrational. … , … [2]

8 0444/11/M/J/18 © UCLES 2018 19 (a) Here is a description of a quadrilateral. It has 4 right angles. It has 2 lines of symmetry. It has rotational symmetry of order 2. Write down the mathematical name of this quadrilateral. … [1] (b) Write down two geometrical properties of a parallelogram. 1. … 2. … [2] 20 Omar asks 10 people how many times they visited the movie theater in one month. The results are shown below. 1 1 3 2 0 0 3 1 4 2 (a) (i) Find the mode. … [1] (ii) Work out the mean. … [2] (b) Omar wants to show his results in a pie chart. Work out the sector angle for the people who visited the movie theater 3 times. … [2]

9 0444/11/M/J/18 © UCLES 2018 [Turn over 21 Factor completely. (a) 10 + 16w … [1] (b) 12tx - 8t2 … [2] 22 Work out 1 4 3 35 6 # . Give your answer as a fraction in its simplest form. … [3]

10 0444/11/M/J/18 © UCLES 2018 23 Solve the system of linear equations. You must show all your working. 3x + 10y = 106 5x - 4y = 1 x = … y = … [4] 24 5 4 3 2 1 0 2 4 6 10 8 y x The diagram shows the graph of the function ( ) f y x = where ( ) f x x 5 = for x 1 10 G G . Write down the range of this function. … [2]

11 0444/11/M/J/18 © UCLES 2018 25 A store rents out kayaks for trips on a nearby lake. The profit, P dollars, made from renting out n kayaks for a week is given by the function ( ) P n n 180 20 = - . (a) The store has a stock of 100 kayaks. The store manager says ‘n can be any value between 0 and 100.’ Give one reason why the manager is not correct. … … [1] (b) One week, the store makes $5380 profit from renting out kayaks. How many kayaks were rented out that week? … [2]

12 0444/11/M/J/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

IGCSE™ is a registered trademark. This document consists of 5 printed pages. © UCLES 2018 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 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 May/June 2018 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 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.

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 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 4600 1 2 7 1000 1 3 140 1 4 2 7 12 cao 1 5(a) [0].0027 1 5(b) 5 3.87 10− × 1 6 66 2 B1 for 84 or −18 seen 7 94 2 B1 for ACB or PAB or ABC = 43 or M1 for 180 2 43 − × or 1 2 90 43 = − x 8 54 2 M1 for 2 7 8 + = × y or 2 7 8 8 = − y 9(a) 6540 1 9(b) 7.85[0] 1 10(a) Wednesday 1 10(b) 5 1 10(c) 2 1 11 7y − 23 final answer 2 M1 for 12 18 − y or 5 5 − − y or B1 for answer 7 − y k or 23 − cy 0 ≠ c 12 2.5 10 2 B1 for each 13 126 2 M1 for at least 3 multiples of 18 and 21 or 3, 6 and 3, 7 in working or 3 × 6 × 7 as final answer or B1 for final answer 126k, integer k >1

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 Page 4 of 5 Question Answer Marks Partial Marks 14 45 2 M1 for 360 8 If zero scored SC1 for answer 135 15 Correct enlargement drawn 2 B1 for correct scale factor, but wrong position 16(a) 8 15 oe 1 16(b) 40 1 17(a) 12 x 1 17(b) 2 − 1 18 π 3 2 B1 for each 19(a) Rectangle 1 19(b) Two correct properties e.g. 2 pairs of parallel sides Opposite angles are equal Opposite sides are same length Rotational symmetry order 2 2 B1 for one correct property 20(a)(i) 1 1 20(a)(ii) 1.7 2 M1 for (0 × 2 + 1 × 3 + 2 × 2 + 3 × 2 + 4 × 1) ÷ 10 20(b) 72 2 M1 for 2 10 or 360 10 21(a) 2(5 8 ) + w final answer 1 21(b) 4 (3 2 ) − t x t final answer 2 B1 for 2 4(3 2 ) − tx t or (12 8 ) − t x t or 2 2(6 4 ) − tx t or 2 (6 4 ) − t x t 22 3 10 3 M1 for 7 4 or 6 4 35 × k where k > 4 and B1 for 42 140 or 21 70 or 6 20

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 Page 5 of 5 Question Answer Marks Partial Marks 23 Correctly equating one set of coefficients M1 Correct method to eliminate one variable M1 [x =] 7 A1 [y =] 8.5 A1 If zero scored SC1 for 2 values satisfying one of the original equations or SC1 for both answers correct but no working 24 0.5 ⩽ f(x) ⩽ 5 oe 2 B1 for each inequality or for 0.5 and 5 seen 25(a) Valid explanation 1 e.g. n has to be a whole number 25(b) 30 2 M1 for 180 5380 20 n = + oe or for 180 × 30 – 30