Cambridge IGCSE Mathematics (9-1) 0980 — 2019 May/June Paper 1 · Variant 2

This document consists of 11 printed pages and 1 blank page. DC (SC) 180137 © UCLES 2019 [Turn over * 9 8 7 6 2 2 1 1 4 2 * MATHEMATICS 0980/12 Paper 1 (Core) May/June 2019 1 hour Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional) 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 fluid. 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 specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For r, 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. Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1)

2 0980/12/M/J/19 © UCLES 2019 1 Write 30 682 in words. … [1] 2 Change 4365 metres into centimetres. … cm [1] 3 Insert one pair of brackets to make this statement correct. 4 6 2 1 17 # - + = [1] 4 The probability that Tommy has his calculator for his mathematics lesson is 0.4 . There are 120 mathematics lessons in one year. Work out an estimate of the number of mathematics lessons in one year that Tommy has his calculator. … [1] 5 (a) Subtract 123 from 1 million. … [1] (b) Subtract 9 from 2. … [1] 6 Complete each statement. (a) A quadrilateral with only one pair of parallel sides is called a … . [1] (b) An angle greater than 90° but less than 180° is called … . [1]

3 0980/12/M/J/19 © UCLES 2019 [Turn over 7 (a) Shade five-eighths of this rectangle. [1] (b) Shade two more squares so that this grid has rotational symmetry of order 4. [1] 8 X e f g d a b c The diagram shows two parallel lines and a straight line crossing them. Write down, using letters from a to g, (a) the angle that is alternate to angle X, … [1] (b) the angle that is corresponding to angle X. … [1]

4 0980/12/M/J/19 © UCLES 2019 9 50 students each choose their favourite colour from a list of six colours. The results for the colours Red, Orange, Yellow, Green and Blue are shown in the tally chart. Complete the tally chart. Favourite colour Tally Red IIII IIII I Orange IIII IIII IIII Yellow IIII IIII Green IIII Blue III Purple [2] 10 (a) Write 0.047 883 correct to 2 significant figures. … [1] (b) Write 0.005 27 in standard form. … [1] 11 Find the highest common factor (HCF) of 90 and 48. … [2]

5 0980/12/M/J/19 © UCLES 2019 [Turn over 12 8.4 cm 3.5 cm NOT TO SCALE Calculate the area of this triangle. … cm2 [2] 13 23 m 6.2 m NOT TO SCALE x° The diagram shows a right-angled triangle. Calculate the value of x. x = … [2]

6 0980/12/M/J/19 © UCLES 2019 14 (a) The diagram shows a solid cuboid made of identical cubes. NOT TO SCALE Work out the number of cubes in the cuboid. … [1] (b) The diagram shows the nets of two solids. Write down, under each net, the mathematical name for the solid. … … [2]

7 0980/12/M/J/19 © UCLES 2019 [Turn over 15 A box contains 22 coloured pencils. 6 pencils are pink, 9 pencils are blue and 7 pencils are yellow. (a) Write down the ratio pink pencils : not pink pencils. Give your answer in its simplest form. … : … [2] (b) A pencil is taken at random from the box. Write down the probability that this pencil is green. … [1] 16 (a) Expand. ( ) x x 7 2 - … [2] (b) Factorise. y y 2 + … [1] 17 (a) Show that there is not a square number between 50 and 60. [2] (b) Write down a prime number between 50 and 60. … [1]

8 0980/12/M/J/19 © UCLES 2019 18 A machine always takes 5 minutes to paint an 80 metre white line on a road. (a) Work out the number of metres painted in 45 minutes. … m [1] (b) Work out the number of minutes taken to paint a 2.8 km line. … min [2] 19 Simplify. (a) m m 5 2 2 3 # … [2] (b) x 3 8 ` j … [1] 20 Without using a calculator, work out 2 4 1 7 3 ' . You must show all your working and give your answer as a mixed number in its simplest form. … [3]

9 0980/12/M/J/19 © UCLES 2019 [Turn over 21 NOT TO SCALE 9 cm The diagram shows a semicircle with diameter 9 cm. Calculate the total perimeter of this semicircle. … cm [3] 22 Gerry and Alain run around a running track. To run around the track once • Gerry always takes 90 seconds • Alain always takes 105 seconds. They start together at the same point. After how many minutes are they next together at that point? … min [3]

10 0980/12/M/J/19 © UCLES 2019 23 Rearrange this formula to make x the subject. x y y 5 3 4 8 2 - = + x = … [3]

11 0980/12/M/J/19 © UCLES 2019 24 A B C (a) (i) Using a straight edge and compasses only, construct the perpendicular bisector of AB. Show all your construction arcs. [2] (ii) Using a ruler and compasses only, construct the locus of points inside the triangle that are 4 cm from C. [1] (b) Shade the region inside the triangle that is • more than 4 cm from C and • closer to B than to A. [1]

12 0980/12/M/J/19 © UCLES 2019 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. BLANK PAGE

This document consists of 5 printed pages. © UCLES 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1) MATHEMATICS 0980/12 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.

0980/12 Cambridge IGCSE (9–1) – 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.

0980/12 Cambridge IGCSE (9–1) – 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 Thirty thousand six hundred [and] eighty-two 1 2 436 500 1 3 4 × (6 – 2) + 1 = 17 1 4 48 1 5(a) 999 877 1 5(b) 7 − 1 6(a) Trapezium 1 6(b) Obtuse 1 7(a) Any 15 blocks shaded 1 7(b) 2 correct squares shaded 1 8(a) b 1 8(b) d 1 9 2 B1 for 11, 14, 9, 5, 3 allow one error or omission or for 50 − 42 seen or for 8 purple 10(a) 0.048 cao 1 10(b) 5.27 3 10− × 1 11 6 2 M1 for 2 × 32 × 5 or 24 × 3 or for 2 × 3 as final answer or B1 for 2 or 3 as final answer 12 14.7 2 M1 for 1 8.4 3.5 2 × × oe 13 74.4 or 74.36… 2 M1 for cos[x =] 6.2 23 oe

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Partial Marks 14(a) 160 1 14(b) Cone, [square based] pyramid 2 B1 for each 15(a) 3 : 8 cao 2 B1 for 6 : 16 or 8 2 3 1: or 1:2 or 1:2.67 or :1 or 0.375:1 3 3 8 If 0 scored, SC1 for 8 : 3 15(b) 0 1 16(a) x3 – 7x2 final answer 2 B1 for 3 − k x jx 0 ≠ j or 2 7 − p nx x 0 ≠ n as answers If 0 scored, SC1 for correct answer seen then spoilt 16(b) y(y + 1) final answer 1 17(a) 2 7 49 = and 28 64 = or √49 = 7 and √64 = 8 2 B1 for 2 7 49 = or 28 64 = or 49 and 64 or values of at least √50 (or √51) and√59 (or √60) without further comment 17(b) 53 or 59 1 18(a) 720 1 18(b) 175 cao 2 M1 for 2.8 1000[ 5] 80 × × or 2.8 1000 45 × × (a) their or B1 for figs 175 19(a) 5 10m final answer 2 B1 for 10 k m or 5 km as final answer 19(b) 24 x final answer 1 20 9 7 63 12 or 4 3 28 28 × ÷ oe with common denominator M2 B1 for 9 4 oe seen or M1 for their 9 7 4 3 × 1 5 4 cao A1 21 23.1 or 23.137 to 23.139 or 23.14 3 M2 for 9π 2 oe or M1 for 9π oe 22 10.5 oe isw 3 B2 for 630 or M1 for 630k or B1 for 3 correct multiples of each

0980/12 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED May/June 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Partial Marks 23 7 8 5 + = y x oe final answer 3 M1 for 2 5 4 3 8 = + + x y y or better M1 for 2 (4 3 ) 8 5 + + = their y y x or better M1 for (7 ) 8 5 + = their y x An incorrect final answer scores a maximum of 2 24(a)(i) Ruled bisector of AB with 2 pairs of correct arcs 2 M1 for 2 pairs of correct arcs or B1 for correct ruled bisector with incomplete or no arcs 24(a)(ii) Arc centre C radius 4 cm 1 24(b) Closed region shaded 1