Cambridge IGCSE Mathematics (US) 0444 — 2017 May/June Paper 1 · Variant 1

* 5 5 3 3 3 3 3 9 9 5 * This document consists of 12 printed pages. DC (ST/SG) 136834/1 © UCLES 2017 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 2017 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/17 © UCLES 2017 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/17 © UCLES 2017 [Turn over 1 Write, in figures, the number seventy thousand and twenty. … [1] 2 Write, as a fraction, the value of 5-2. … [1] 3 The thickness of one sheet of paper is 5 # 10-2 mm. Work out the thickness of 100 sheets of paper. …mm [1] 4 Simplify. (x2) 5 … [1] 5 A B opposite congruent reflected translated Choose the mathematical word from the list to complete this statement. Pentagon A is … to pentagon B. [1]

4 0444/11/M/J/17 © UCLES 2017 6 31 33 35 37 39 From the list, write down a prime number. … [1] 7 Write 23.4571 correct to (a) 4 significant digits, … [1] (b) the nearest 10. … [1] 8 Factor completely. 12n2 - 4mn … [2] 9 Find the greatest common factor (GCF) of 126 and 150. … [2]

5 0444/11/M/J/17 © UCLES 2017 [Turn over 10 The table shows the temperatures in five places at 10 am one day in January. Place Temperature (°C) Helsinki -7 Chicago -10 London 3 Moscow -4 Bangkok 26 (a) Which place was the coldest? … [1] (b) At 2 pm the temperature in Helsinki had increased by 4 °C. Write down the temperature in Helsinki at 2 pm. …°C [1] 11 Expand and simplify. ( ) ( ) x y x y 7 2 3 14 + - - … [2] 12 Complete the mapping diagram for the function : f x x 3 5 " - . x –2 0 1 2 3 – 5x … … 3 –2 [2]

6 0444/11/M/J/17 © UCLES 2017 13 –2 1 2 3 4 –1 –2 –3 –4 –5 1 2 3 4 5 0 –1 –3 –4 x y P Q (a) P is the point (–2, 3) and Q is the point (–4, –2). Find PQ . PQ = f p [1] (b) R is the point (1, –2) and RS 4 3 = d n . Find the co-ordinates of the point S. ( …, …) [1] 14 Manuel changes 4500 Mexican Pesos to dollars. He receives $250. Complete this statement about the exchange rate. $1 = … Mexican Pesos [2]

7 0444/11/M/J/17 © UCLES 2017 [Turn over 15 Maria asks 50 students in her school when their birthday is. She records the information in the table. Jan to Mar Apr to Jun Jul to Sep Oct to Dec Number of birthdays 9 21 14 6 (a) Find the relative frequency of a student having a birthday in April, May or June. … [1] (b) There are 500 students in the school. Estimate the number of students who have a birthday in April, May or June. … [1] 16 Work out 6 64 2 3 . Write your answer as a fraction in its lowest terms. … [2] 17 ( ) s t v 2 5 = + Solve for v. v = … [2]

8 0444/11/M/J/17 © UCLES 2017 18 (a) Work out. 3 2 4 # + - … [1] (b) In each of these, insert one pair of brackets to make the statement correct. (i) 3 # 5 + 2 + 2 = 23 [1] (ii) 12 ÷ 4 + 2 = 2 [1] 19 Work out 1 3 2 7 5 + . Give your answer as a mixed number in its simplest form. … [3] 20 Solve the system of linear equations. You must show all your working. 14 x y x y 5 2 24 7 4 - = + = - x = … y = … [3]

9 0444/11/M/J/17 © UCLES 2017 [Turn over 21 The diagram shows a notice board. 90 cm 75 cm NOT TO SCALE The board is in the shape of an isosceles triangle joined to a square with side 90 cm. (a) Work out the perimeter of the board. … cm [1] (b) The ratio height of triangle : side of square = 2 : 3. (i) Work out the height of the triangle. … cm [2] (ii) Work out the total area of the board. Give your answer in square meters. …m2 [3]

10 0444/11/M/J/17 © UCLES 2017 22 Six students revise for a test. The scatter diagram shows the time, in hours, each student spent revising and their mark in the test. 0 25 30 35 40 Mark 45 50 1 2 3 4 5 Time (hours) 6 7 8 9 10 (a) The data for two more students is shown in the table. Time (hours) 4.5 6.5 Mark 33 35 Plot these two points on the scatter diagram. [1] (b) What type of correlation is shown on the scatter diagram? … [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) Another student spent 5.5 hours revising. Estimate a mark for this student. … [1]

11 0444/11/M/J/17 © UCLES 2017 [Turn over 23 (a) ( ) f x x 2 2 = - (i) Find the value of f(–3). … [1] (ii) Find f(7p) in its simplest form. … [1] (b) 1 0 –1 –2 –3 –4 –5 –6 –7 1 2 3 4 y x The diagram shows the graph of ( ) g y x = where ( ) g x x a = for . x b 0 5 G G . a and b are integers. (i) Find the value of a. a = … [1] (ii) Write down the value of b. b = … [1] (iii) Write down the range of g(x). … ( ) g x G G …[1] Question 24 is printed on the next page.

12 0444/11/M/J/17 © UCLES 2017 24 A B C D The diagram shows a quadrilateral ABCD. Using a straight edge and compass only, construct (a) the perpendicular bisector of the line AB, [2] (b) the bisector of the angle ADC. [2] 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.

® IGCSE is a registered trademark. This document consists of 4 printed pages. © UCLES 2017 [Turn over Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS (US) 0444/11 Paper 1 (Core) May/June 2017 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 will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the May/June 2017 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 2017 © UCLES 2017 Page 2 of 4 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 Part marks 1 70 020 cao 1 2 1 25 1 3 5 1 4 x10 1 5 Congruent 1 6 31 or 37 1 7(a) 23.46 cao 1 7(b) 20 cao 1 8 4n(3n – m) final answer 2 B1 for 4(3n2 – mn) or n(12n – 4m) or 2n(6n −2m) or 2(6n2 – 2mn) 9 6 2 B1 for answer 2 or 3 or M1 for prime factors of 126 and 150 seen 10(a) Chicago 1 10(b) −3 1 11 21y + xy or y(21 + x) final answer 2 B1 for 14x + 21y or −14x + xy or ky + xy 12 13 …… −7 1, 1 13(a) 2 5 −     −   1 13(b) 4, 2 1 14 18 2 M1 for 4500 ÷ 250 soi 15(a) 21 50 oe 1 15(b) 210 1FT FT their (a) × 750 provided 0 < their (a) < 1

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 3 of 4 Question Answer Marks Part marks 16 1 9 2 B1 for 4 36 or 2 18 17 2 5 − s t t oe 2 M1 for 2 5 = + s v t or 2 5 = + s t tv oe 18(a) –5 1 18(b)(i) 3 × (5 + 2) + 2 = 23 1 18(b)(ii) 12 ÷ (4 + 2) = 2 1 19 8 2 21 cao 3 M2 for 50 21 or 1 8 21 or 29 21 or 1 29 21 M1 for ( ) 14 35 15 21 21 + or oe 20 Correctly eliminating one variable M1 [x =] 2 A1 [y =] −7 A1 If zero scored, SC1 for 2 values satisfying one of the original equations SC1 for both correct but no working 21(a) 420 1 21(b)(i) 60 2 M1 for 90 ÷ 3 × 2 soi 21(b)(ii) 1.08 3FT B2 for an answer of 10800 or M2 for 0.92 + their 0.6 × 0.9 ÷ 2 or for 902 + their 60 × 90 ÷ 2 or B1 for 8100 or 2700 or 0.81 or 0.27 seen or M1 for 90 × 90 oe or their 60 × 90 ÷ 2 oe or for a correct change of unit soi 22(a) Points plotted at (4.5, 33) and (6.5, 35) 1 22(b) Positive 1 22(c) Correct ruled line 1 22(d) 33.5 to 37.4 1FT FT from their line provided positive gradient 23(a)(i) 7 1 23(a)(ii) 49p2 − 2 final answer 1

0444/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2017 © UCLES 2017 Page 4 of 4 Question Answer Marks Part marks 23(b)(i) −3 1 23(b)(ii) 3 1 23(b)(iii) −6…..−1 1 24(a) Correct ruled bisector of AB with 2 pairs of arcs 2 B1 for correct bisector with no or incorrect arcs or 2 pairs of correct arcs 24(b) Correct ruled bisector of angle ADC with 2 pairs of arcs 2 B1 for correct bisector with no or incorrect arcs or 2 pairs of correct arcs