Cambridge IGCSE Mathematics (9-1) (UK only) 0626 — 2019 Oct/Nov Paper 3 · Variant 1

This document consists of 19 printed pages and 1 blank page. DC (SC/SW) 170854/1 © UCLES 2019 [Turn over * 1 4 4 2 3 0 9 9 6 0 * MATHEMATICS 0626/03 Paper 3 (Core) October/November 2019 1 hour 30 minutes Candidates answer on the Question Paper. Additional Materials: 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. CALCULATORS MAY NOT BE USED IN THIS PAPER. If working is required for any question it must be shown below that question. 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. 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 84. Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1) This syllabus is regulated for use in England as a Cambridge International Level 1/Level 2 (9–1) Certificate.

2 0626/03/O/N/19 © UCLES 2019 1 Work out. (a) 148 10 ' … [1] (b) 1000 3 … [1] 2 In a sale, all prices are reduced by 3 1 . Tom buys a jacket in the sale. The original price of the jacket was £69. Work out how much Tom pays for the jacket. £ … [2] 3 (a) T a 2 3 4 = - Find the value of T when a 6 = . T = … [2] (b) C p q 5 3 = - Find the value of C when p 2 = and q 4 =- . C = … [2]

3 0626/03/O/N/19 © UCLES 2019 [Turn over 4 On the probability scale, mark with a cross (#) the probability of taking, at random, (a) a red apple from a bag containing only green apples, 0 1 [1] (b) a toffee from a box of 10 sweets containing 3 toffees. 0 1 [1] 5 (a) NOT TO SCALE x° 275° Find the value of x. x = … [1] (b) NOT TO SCALE y° 140° The diagram shows an isosceles triangle inside a rectangle. Find the value of y. y = … [2]

4 0626/03/O/N/19 © UCLES 2019 6 (a) There were 20 825 people at a football match. Write this number correct to the nearest thousand. … [1] (b) The ticket sales for this match were £426 912. Keira wants to round this value correct to 2 significant figures. She writes 42 6 912 43 About £43 in ticket sales (i) Explain the error Keira has made. … … [1] (ii) Round £426 912 correct to 2 significant figures. £ … [1] 7 Here is a function machine. – 12 Input Output × 6 (a) Work out the output when the input is 9 - . … [2] (b) Work out the input when the output is 30. … [2]

5 0626/03/O/N/19 © UCLES 2019 [Turn over 8 The timetable shows part of the Saturday service for the T1 and T2 bus routes. Saturday Service T1 T2 T1 T2 T1 T2 Wood Road 10 57 – 11 27 – 11 57 – Church Street 11 17 11 35 11 47 12 05 12 17 12 35 The Grange – 11 43 – 12 13 – 12 43 Charles Street 11 55 12 03 12 25 12 33 12 55 13 03 Bus Station 12 00 12 08 12 30 12 38 13 00 13 08 (a) Lee takes the 11 43 bus from The Grange to the bus station. How long does his journey take? …minutes [1] (b) Kim has a meeting in Charles Street at 1.15 pm and needs to take the latest bus possible. Kim’s nearest bus stop is Wood Road. It takes Kim • 12 minutes to walk from home to Wood Road bus stop • 5 minutes to walk from Charles Street bus stop to the meeting place. What is the latest time Kim can leave home? … [2]

6 0626/03/O/N/19 © UCLES 2019 9 100 g 0 200 g 300 g 400 g 500 g The weighing scale shows the mass of 2 lemons. The mass of 3 lemons and 1 orange is 365 grams. Work out the mass of the orange. State any assumption that you make. Mass of orange …g Assumption … [4] 10 5 1 p = e o 7 9 q = e o (a) Find p q + . f p [1] (b) Find 2p q - . f p [2]

7 0626/03/O/N/19 © UCLES 2019 [Turn over 11 Anya and her son have lunch at a café. Here is Anya’s bill. Food and drinks Cost (£) Fish and chips 8.50 Chicken penne 6.50 Coffee 2.25 Cola 1.75 Total Service tip Amount to pay Anya gives a service tip of 15%. Complete Anya’s bill. [3]

8 0626/03/O/N/19 © UCLES 2019 12 Mikael went for a walk. He walked along a country path, stopped at a café and then walked home. The travel graph shows his journey. 10 00 Distance from Mikael’s house (km) 0 2 4 6 8 11 00 12 00 Time 13 00 14 00 (a) How far is the café from Mikael’s house? … km [1] (b) How many minutes did it take Mikael to walk the last kilometre home? …minutes [1] (c) For part of his journey, Mikael walked up a steep hill. Is he more likely to have done this just before or just after he stopped at the café? Before After Explain how you can tell this from the graph. … … [1]

9 0626/03/O/N/19 © UCLES 2019 [Turn over 13 y x – 2 – 3 – 4 – 5 – 6 – 1 1 2 3 4 5 6 – 1 – 2 – 3 – 4 – 5 – 6 0 1 2 3 4 5 6 7 y = 3 T (a) On the grid, draw the reflection of triangle T in the line y 3 = . [1] (b) On the grid, draw the translation of triangle T by the vector 6 4 - - e o. [2]

10 0626/03/O/N/19 © UCLES 2019 14 A company makes drinking glasses. The company makes 158 boxes of glasses each week. Each box contains 12 glasses. Work out the total number of glasses the company makes in 4 weeks. … [3]

11 0626/03/O/N/19 © UCLES 2019 [Turn over 15 A traffic camera records the speed, in miles per hour, of 77 vehicles. The results are shown in the table. Speed (x mph) x 30 35 1 G x 35 40 1 G x 40 45 1 G x 45 50 1 G Frequency 15 52 8 2 (a) Draw a frequency diagram to show this information. 30 35 40 Speed (mph) Frequency 45 50 x [3] (b) The probability that a vehicle was travelling faster than the speed limit was 77 10 . What was the speed limit? … mph [1]

12 0626/03/O/N/19 © UCLES 2019 16 1 m 1 m NOT TO SCALE 2 m 2 m The diagram shows Joni’s garden pond. The pond is an L shape made from a rectangle and a square. Joni wants to make a path all around the edge of her pond using square paving slabs. These slabs measure 50 cm by 50 cm. She does not want to have any gaps between the slabs. She sees this information at her local garden centre. Paving Slabs 50 cm by 50 cm £2.60 each Delivery charges You spend Delivery charge more than £100 £50 to £100 less than £50 Free £5 £15 She buys her slabs from this garden centre and has them delivered. Work out the total amount Joni pays. You must show your working. £ … [5]

13 0626/03/O/N/19 © UCLES 2019 [Turn over 17 Fran, Sue and Bruce share £9000. Sue receives 3 times as much as Fran. Bruce receives 2 times as much as Sue. How much do they each receive? Fran £ … Sue £ … Bruce £ … [3]

14 0626/03/O/N/19 © UCLES 2019 18 (a) Solve this inequality. x 3 18 G … [1] (b) Represent your answer to part (a) on the number line. – 10 10 8 6 4 2 – 2 – 4 – 6 – 8 0 x [1] 19 Find the reciprocal of 2 4 3 . … [2]

15 0626/03/O/N/19 © UCLES 2019 [Turn over 20 (a) Write 0.0567 in standard form. … [1] (b) Work out . . 7 3 10 2 4 10 14 12 # # + . Give your answer in standard form. … [2] 21 X Enlarge this shape by scale factor 3 1 from the centre of enlargement X. [2]

16 0626/03/O/N/19 © UCLES 2019 22 Marcia goes to the supermarket. She buys • 1.6 kg of apples at 2k pence per kilogram • 0.8 kg of bananas at ( ) k 5 + pence per kilogram. (a) Write down an expression, in terms of k, for the cost in pence of Marcia’s shopping. Give your answer in its simplest form. …pence [2] (b) The total cost of Marcia’s shopping is £2.44. Find the value of k. k = … [2] 23 Work out. 5 9 7 12 11 3 2 # - Give your answer as a mixed number. … [3]

17 0626/03/O/N/19 © UCLES 2019 [Turn over 24 Here is a description of triangle DEF. • Side DE = 8 cm • Angle EDF = 42° • Side EF = 6 cm Two different triangles can be constructed using this description. Construct accurately these two triangles. [4]

18 0626/03/O/N/19 © UCLES 2019 25 Find five positive integers which satisfy all four of the following conditions. • mode = 5 • median = 5 • mean = 6 • range = 7 … , … , … , … , … [3] 26 Change 8 3 into a decimal. … [2]

19 0626/03/O/N/19 © UCLES 2019 27 Simplify. (a) ( ) ( ) x x x x 3 3 - - + … [2] (b) x5 2 ` j … [1] 28 Cylinder P has radius 5 cm and height 4 cm. Calculate the volume of cylinder P. Give your answer as a multiple of r. …cm3 [2]

20 0626/03/O/N/19 © UCLES 2019 BLANK PAGE 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.

This document consists of 6 printed pages. © UCLES 2019 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education (9–1) MATHEMATICS 0626/03 Paper 3 October/November 2019 MARK SCHEME Maximum Mark: 84 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 2019 series for most Cambridge IGCSE™, Cambridge International A and AS Level components and some Cambridge O Level components.

0626/03 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 2 of 6 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.

0626/03 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 3 of 6 MARK SCHEME NOTES The following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons outside the scope of these notes. Types of mark M Method marks, awarded for a valid method applied to the problem. A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned or implied. B Mark for a correct result or statement independent of Method marks. When a part of a question has two or more ‘method’ steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly where there are several B marks allocated. The notation ‘dep’ is used to indicate that a particular M or B mark is dependent on an earlier mark in the scheme. Abbreviations awrt answers which round to cao correct answer only dep dependent FT follow through after error isw ignore subsequent working nfww not from wrong working oe or equivalent rot rounded or truncated SC Special Case soi seen or implied Question Answer Marks Partial Marks 1(a) 14.8 1 1(b) 10 1 2 46 2 M1 for [69 −] 69 3 or 2 69 3 × or B1 for 23 seen 3(a) 7 2 M1 for 3(6) 4 2 − oe 3(b) 22 2 M1 for 5(2) − 3(−4) oe 4(a) Cross at 0 1 4(b) Cross at 0.3 1 5(a) 85 1

0626/03 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 4 of 6 Question Answer Marks Partial Marks 5(b) 70 2 M1 for [ ] 180 140 90 2 − − or 1 140 2 × or B1 for 20 seen 6(a) 21 000 1 6(b)(i) Valid explanation 1 6(b)(ii) 430 000 1 7(a) −126 2 B1 for −21 seen or M1 for their −21 × 6 7(b) 17 2 B1 for [30 ÷ 6 = ] 5 or M1 for ÷ 6 and + 12 soi 8(a) 25 1 8(b) 1145 2 B1 for the T1 service at 1157 identified 9 140 3 M2 for 150 365 3 2 − × or 225 seen or M1 for 150 3 2 × or for 75 seen Valid assumption 1 10(a) 12 10       1 10(b) 3 7     −   2 B1 for each component or for [2p =] 10 2       seen 11 21.85 3 B1 for 19 M1 for 15% of their 19 soi e.g. 19 19 10 20 + M1 FT for their 19 + 15% of their 19 Maximum 2 marks if answer incorrect 12(a) 7 1 12(b) 10 1 12(c) Before with valid explanation 1 13(a) Correct reflection with vertices at (1, 4), (3, 4), (2, 6) 1

0626/03 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 5 of 6 Question Answer Marks Partial Marks 13(b) Correct translation with vertices at (−4, −4), (−5, −2), (−3, −2) 2 M1 for correct x move or correct y move or SC1 for translation 4 6 −     −   14 7584 3 M2 for attempting 48 × 158 or 12 × 632 or 4 × 1896 or M1 for 4 × 12 × 158 or B1 for 48 or 632 or 1896 seen 15(a) Fully correct frequency diagram 3 B1 for uniform vertical scale B1 for all heights correct B1 for bars of uniform width with no gaps or frequency polygon with points plotted at centres of intervals and joined with straight lines 15(b) 40 1 16 Attempts to find the number of slabs M1 20 slabs A1 2.60 × their 20 M1 Dep on M1 52 A1 FT their 20 their 52 + 5 for 50 ⩽ their 52 ⩽ 100 or their 52 + 15 for 0 < their 52 < 50 B1 FT their 52 B0 if their 52 is greater than 100 unless Delivery is free oe is clearly stated 17 900 2700 5400 3 B1 for each correct OR M2 for any two of 9000 10 ÷ and 9000 10 3 ÷ × and 9000 10 6 ÷ × soi or M1 for 1 : 3 : 6 oe soi If 0 scored, SC2 for answers 1500, 3000, 4500 or SC1 for any two of 9000 6 , 9000 2 6 × , 9000 3 6 × oe 18(a) 6 x - 1 18(b) 1 FT their (a) provided an inequality 6

0626/03 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 6 of 6 Question Answer Marks Partial Marks 19 4 11 2 M1 for 11 4 or for 3 4 1 2 or for 4 11 their 20(a) 2 5.67 10− × cao 1 20(b) 14 7.324 10 × cao 2 M1 for 14 14 7.3 10 0.024 10 × + × or 12 12 730 10 2.4 10 × + × or answer figs 7324 21 Correct enlargement drawn 2 B1 for enlargement of the correct size and orientation but in the wrong position or for 4 or 5 vertices plotted correctly 22(a) 4 4 k + or 4( 1) k + final answer 2 M1 for 2 1.6 0.8 ( 5) k k × + × + oe or B1 for 3.2k seen or 0.8 4 k + seen or answer 4k c + 22(b) 60 2 M1FT for (4 4) 244 their k + = oe soi 23 1 5 6 or 5 6 k k 3 B1 for 11 18 k k seen M1 for [ ]14 11 5 18 18 k k their k k − oe where denominators are both the same If 0 scored, SC2 for answer 13 354 k k or SC1 for 175 36 oe seen 24 Two different accurately constructed triangles. 4 B3 for one triangle DEF accurately drawn or B2 for a triangle satisfying two conditions or B1 for a triangle satisfying one condition or for an incomplete triangle satisfying two conditions 25 4, 5, 5, 5, 11 or 3, 5, 5, 7, 10 3 B1 for five numbers with mode = 5 and median = 5 B1 for five numbers that total 30 B1 for five numbers with range = 7 Maximum 2 marks if answer incorrect 26 [0].375 2 M1 for attempt at 3 ÷ 8 or for [0].125 seen 27(a) 6x − 2 M1 for 2 3 x x − or 2 3 x x − − or ( 3 ( 3)) x x x −− + 27(b) 10 x 1 28 100π final answer 2 M1 for [ ] π 5 5 4 × × × oe