Cambridge IGCSE Mathematics (with coursework) 0581 — 2014 May/June Paper 1 · Variant 2

READ THESE INSTRUCTIONS FIRST Write your Centre 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 fl uid. DO NOT WRITE IN ANY BARCODES. Answer all questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. If the degree of accuracy is not specifi ed in the question, and if the answer is not exact, give the answer to three signifi cant fi gures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 56. MATHEMATICS 0581/12 Paper 1 (Core) May/June 2014 1 hour Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional) This document consists of 11 printed pages and 1 blank page. [Turn over IB14 06_0581_12/RP © UCLES 2014 *6717064575* Cambridge International Examinations Cambridge International General Certifi cate of Secondary Education PAPA CAMBRIDGE

2 0581/12/M/J/14 © UCLES 2014 1 Simplify the expression. p + p + p + p Answer … [1] __________________________________________________________________________________________ 2 Calculate 2 16 1.3 3 . Answer … [1] __________________________________________________________________________________________ 3 Write down in fi gures (a) three hundred and forty thousand, Answer(a) … [1] (b) the number that is one less than one million. Answer(b) … [1] __________________________________________________________________________________________ 4 Write the following numbers in order, starting with the smallest. 11 5 0.2 45.4% 20 9 Answer … < … < … < … [2] __________________________________________________________________________________________

3 0581/12/M/J/14 © UCLES 2014 [Turn over 5 (a) The temperature on Monday was –6°C. On Tuesday the temperature was 3 degrees lower. Write down the temperature on Tuesday. Answer(a) … °C [1] (b) The temperature on Saturday was –2°C. The temperature on Sunday was 8°C. Write down the difference in these two temperatures. Answer(b) … °C [1] __________________________________________________________________________________________ 6 (a) Write 569 000 correct to 2 signifi cant fi gures. Answer(a) … [1] (b) Write 569 000 in standard form. Answer(b) … [1] __________________________________________________________________________________________ 7 Find three numbers which have a mode of 4 and a mean of 6. Answer … , … , … [2] __________________________________________________________________________________________

4 0581/12/M/J/14 © UCLES 2014 8 l P NOT TO SCALE y x 0 The equation of the line l in the diagram is y = 5 – x . (a) The line cuts the y-axis at P. Write down the co-ordinates of P. Answer(a) (… , …) [1] (b) Write down the gradient of the line l. Answer(b) … [1] __________________________________________________________________________________________ 9 Solve the simultaneous equations. 2x – y = 7 3x + y = 3 Answer x = … y = … [2] __________________________________________________________________________________________

5 0581/12/M/J/14 © UCLES 2014 [Turn over 10 C B A 8 cm 28° NOT TO SCALE Calculate the length of AB. Answer AB = … cm [2] __________________________________________________________________________________________ 11 The height of Mount Everest is 8800 m, correct to the nearest hundred metres. Complete the statement about the height, h metres, of Mount Everest. Answer … Ğ h < … [2] __________________________________________________________________________________________ 12 Colin is travelling from Sydney, Australia, to Auckland, New Zealand. (a) Colin’s bus leaves for Sydney airport at 12 38. The bus arrives at the airport at 13 24. How many minutes does the bus journey take? Answer(a) … min [1] (b) Colin’s fl ight from Sydney to Auckland leaves at 14 45 local time and takes 3 hours 20 minutes. The time in Auckland is 2 hours ahead of the time in Sydney. What is the local time in Auckland when his fl ight arrives? Answer(b) … [2] __________________________________________________________________________________________

6 0581/12/M/J/14 © UCLES 2014 13 (a) The scale drawing shows the positions of two villages, A and B. The scale is 1 centimetre represents 200 metres. North North B A Scale: 1 cm to 200 m (i) Measure the bearing of B from A. Answer(a)(i) … [1] (ii) Work out the actual distance from A to B. Answer(a)(ii) … m [1] (b) The post box in Village A has a volume of 84 000 cm3. The post box in Village B has a volume of 0.1 m3. Which post box has the greater volume? Show how you decide. Answer(b) Post box in Village … [1] __________________________________________________________________________________________

7 0581/12/M/J/14 © UCLES 2014 [Turn over 14 V = 3 1 Ah (a) Find V when A = 15 and h = 7 . Answer(a) V = … [1] (b) Make h the subject of the formula. Answer(b) h = … [2] __________________________________________________________________________________________ 15 At the beginning of July, Kim had a mass of 63 kg. At the end of July, his mass was 61 kg. Calculate the percentage loss in Kim’s mass. Answer … % [3] __________________________________________________________________________________________ 16 Without using your calculator, work out 6 5 – 2 2 1 1 1 # ` j. Write down all the steps of your working. Answer … [3] __________________________________________________________________________________________

8 0581/12/M/J/14 © UCLES 2014 17 A plane is travelling at 180 metres per second. How many minutes will it take the plane to travel 800 km? Give your answer correct to the nearest minute. Answer … min [4] __________________________________________________________________________________________ 18 (a) The probability that FC Victoria wins the cup is 0.18 . Work out the probability that they do not win the cup. Answer(a) … [1] (b) After training, the shirts are washed. There are 5 red, 3 blue and 6 green shirts. One shirt is taken from the washing machine at random. Find the probability that it is (i) red, Answer(b)(i) … [1] (ii) blue or green, Answer(b)(ii) … [1] (iii) white. Answer(b)(iii) … [1] __________________________________________________________________________________________

9 0581/12/M/J/14 © UCLES 2014 [Turn over 19 similar acute line perpendicular radius refl ex obtuse parallel congruent isosceles Choose the correct word from this box to complete each of these statements. (a) Angle A is … [1] (b) Angle B is … [1] (c) These lines are … [1] (d) These lines are … [1] __________________________________________________________________________________________ A B

10 0581/12/M/J/14 © UCLES 2014 20 6.7 cm NOT TO SCALE Each edge of this cube is 6.7 cm long. Work out (a) the volume, Answer(a) … cm3 [2] (b) the surface area. Answer(b) … cm2 [2] __________________________________________________________________________________________

11 0581/12/M/J/14 © UCLES 2014 [Turn over 21 O 63° A B C NOT TO SCALE The diagram shows a circle, centre O with diameter AB = 15 cm. AC is a tangent to the circle at A and angle AOC = 63°. (a) Calculate the area of the circle. Answer(a) … cm2 [2] (b) (i) Work out the size of angle ACO. Answer(b)(i) Angle ACO = … [2] (ii) Give one geometrical reason for your answer to part (b)(i). Answer(b)(ii) … … [1] __________________________________________________________________________________________

12 0581/12/M/J/14 © UCLES 2014 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. 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

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2014 series 0581 MATHEMATICS 0581/12 Paper 1 (Core), maximum raw mark 56 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 2014 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components. PAPA CAMBRIDGE

Page 2 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0581 12 © Cambridge International Examinations 2014 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 Qu. Part Answers Mark Part Marks 1 4p 1 2 1.49 or 1.491... 1 3 (a) 340 000 1 (b) 999 999 1 4 0.2 20 9 45.4% 11 5 2 B1 for 3 from 0.4545[…], 0.447[2….], 0.454, 0.45 or equivalent percentages seen or three in the correct order. If zero SC1 for correct but in reverse order. 5 (a) –9 1 (b) 10 or −10 1 6 (a) 570 000 1 (b) 5.69 × 105 1 7 4 4 10 2 B1 for answer of 4 4 k or 4 p q where p + q = 14 8 (a) (0, 5) 1 (b) – 1 1 9 [x =] 2, [y =] – 3 2 B1 B1 or SC1 for reversed answers 10 7.06 or 7.063 to 7.064 2 M1 for 8 ] [ = cos28 or better 11 8750 8850 1, 1 If zero, SC1 for both correct but reversed 12 (a) 46 1 (b) 20 05 or 8 05 pm 2 M1 for adding 3 h 20 min and 2 hours to 14 45 or B1 for 18 05 or 6 05 pm or 16 45 or 4 45 pm or 20 h [0]5 or 20 05 pm or 20 05 am

Page 3 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0581 12 © Cambridge International Examinations 2014 13 (a) (i) 326 – 330 1 (a) (ii) 1100 – 1140 1 (b) B 1 dep on 100 000 or [0].084 seen www scores 0 14 (a) 35 1 (b) A V 3 or 3VA–1 2 M1 for multiplying by 3 or for dividing by 3 1 or M1 for dividing by A 15 3.17 or 3.174 to 3.175 3 M2 for 63 61 63− × 100 oe or 100 – 63 61 ×100 oe or M1 for 63 61 63− oe or 63 61 × 100 16 4 3 2 1 1 2 1         = × oe B1 2 6 2 5 × × and 3 4 3 3 × × oe or better M1FT 12 1 oe A1 working must be shown 17 74 4 M1 for 800 × 1000 or 180 ÷ 1000 soi and M1 for figs 8 ÷ figs 18 and M1 for converting (secs) to mins 74.1 or 74.07… implies M3 18 (a) (0).82 oe 1 (b) (i) 14 5 oe 1 in (b) penalise consistent incorrect denominator once (ii) 14 9 oe 1 (iii) 0 1

Page 4 Mark Scheme Syllabus Paper IGCSE – May/June 2014 0581 12 © Cambridge International Examinations 2014 19 (a) (b) (c) (d) acute reflex parallel perpendicular 1 1 1 1 20 (a) 300.763 cao 2 M1 for 6.73 oe (b) 269.34 cao 2 M1 for 6.72 × 6 oe 21 (a) 177 or 176.7 to 176.74 2 M1 for π × 7.52 oe (b) (i) 27 2 B1 for angle CAO marked, or clearly used, as a right-angle (or 90°) or M1 for 180 – 90 – 63 oe (ii) one correct geometrical reason 1 [angle between a] radius [and a] tangent [is a] right-angle or [angles in a] triangle [add up to] 180° or [the] angles [have to] add to 180°