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

This document consists of 15 printed pages and 1 blank page. DC (SC/SW) 170852/2 © UCLES 2019 [Turn over * 1 1 9 8 6 9 4 4 0 7 * MATHEMATICS 0626/01 Paper 1 (Core) October/November 2019 1 hour 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 and graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Electronic calculators should be used. 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. 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 60. 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 0626/01/O/N/19 © UCLES 2019 1 Write down the value of the digit 3 in the number 723 502. … [1] 2 Jenna asks the members of a sports club how many whole hours they spend training each week. The results are shown below. 14 7 9 17 18 5 19 20 21 24 17 13 19 18 16 17 18 22 23 28 Jenna starts to draw a table of her results. Complete Jenna’s table. Number of hours Tally Frequency 5 to 9 ||| 3 10 to 14 | 15 to 19 ||| 20 to 24 ||| 25 to 29 [2]

3 0626/01/O/N/19 © UCLES 2019 [Turn over 3 Write these values in order, smallest first. 74% .0 64 4 3 0.085 … , … , … , … [2] smallest 4 The table shows some places and their heights above or below sea level. Place Height (m) Baku -28 Ben Nevis 1345 Bombay Beach -69 Lake Eyre -16 (a) Which of these places has the lowest height? … [1] (b) Work out the difference between the heights of Ben Nevis and Baku. … m [1] (c) The height of Lake Assai is 139 metres lower than Lake Eyre. Find the height of Lake Assai. … m [1]

4 0626/01/O/N/19 © UCLES 2019 5 A supermarket sells tins of beans as single tins or in a multipack of 4 tins. Special Offer 20% off Multipack 98p Beans 4 pack Before the special offer a single tin of beans cost 30p. Jack wants to buy 4 tins of beans. He wants to pay as little as possible. Should Jack buy the multipack or 4 single tins in the special offer? Show how you decide. … [3]

5 0626/01/O/N/19 © UCLES 2019 [Turn over 6 The diagram shows a cuboid. 3 cm NOT TO SCALE 2 cm 4 cm On the 1 cm square grid, complete an accurate net for this cuboid. One face has been drawn for you. [3]

6 0626/01/O/N/19 © UCLES 2019 7 Gita is trying to draw the graph of y x 2 = + for values of x between 2 - and 2. Here is her graph. y x – 2 – 1 1 2 – 1 0 1 2 3 4 Gita’s friend says: I can tell from the shape of your graph that you have made a mistake. (a) Explain why Gita’s friend is correct. … … [1] (b) Explain what Gita needs to do to her graph to correct her mistake. … … [1]

7 0626/01/O/N/19 © UCLES 2019 [Turn over 8 Leon goes on holiday to the USA. When he comes home to the UK, he has $340 of his holiday money left. He changes his dollars to pounds when the exchange rate is £1 = $1.25. How many pounds does Leon receive? £ … [2] 9 (a) Work out the value of 56. … [1] (b) 5 1 n = Write down the value of n. n = … [1] (c) Write 7 7 7 7 7 7 7 # # # # # as a single power of 7. … [2]

8 0626/01/O/N/19 © UCLES 2019 10 Paolo rides his bicycle around a circular track. The radius of this track is 0.3 km. Paolo rides around the track 5 times. Work out the total distance Paolo rides. … km [2] 11 Calculate. . . . 10 35 3 05 2 9 76 # - … [1]

9 0626/01/O/N/19 © UCLES 2019 [Turn over 12 0 0 2 4 6 8 10 5000 10 000 Price (£) Age (years) 15 000 20 000 A dealer sells used caravans. The scatter diagram shows the price and age of some of the caravans he sells. All the caravans sleep 6 people. (a) There is a negative correlation between the price and the age of these caravans. Explain how the scatter diagram shows this. … … [1] (b) On the grid, draw a line of best fit for this data. [1] (c) Estimate the price of a caravan that sleeps 6 people and is 3 years old. £ … [1] (d) Give a reason why the scatter diagram should not be used to estimate the price of a 5-year-old caravan that sleeps 2 people. … … [1]

10 0626/01/O/N/19 © UCLES 2019 13 (a) Write down the co-ordinates of the point where the graph of y x 3 7 = + crosses the y-axis. (… , …) [1] (b) Write down the gradient of the graph of y x 3 7 = + . … [1] (c) The graph of y x 3 7 = + crosses the graph of y 4 = at the point P. Find the co-ordinates of P. (… , …) [2] 14 (a) Solve. x x 5 2 7 - = - x = … [2] (b) Solve. x 7 16 3 + = x = … [2]

11 0626/01/O/N/19 © UCLES 2019 [Turn over 15 Change 5 m3 into cm3. …cm3 [1] 16 Find the highest common factor (HCF) of 315 and 225. … [2] 17 A bus travels at a constant speed of 90 kilometres per hour. Calculate the distance the bus travels in 22 seconds. … km [3]

12 0626/01/O/N/19 © UCLES 2019 18 (a) NOT TO SCALE 40° 6 cm x cm Find the value of x. x = … [2] (b) NOT TO SCALE 30 cm 12 cm 8 cm y cm The diagram shows two mathematically similar triangles. Find the value of y. y = … [2]

13 0626/01/O/N/19 © UCLES 2019 [Turn over 19 Simplify. x x y 4 8 2 7 6 … [2] 20 Adele and Pierre both walked their family dog on 1 January. After that, Adele walks the dog every 8th day and Pierre walks the dog every 12th day. After 1 January, how many times do Adele and Pierre both walk the dog on the same day during this year (365 days)? … [3]

14 0626/01/O/N/19 © UCLES 2019 21 (a) Here are the first four terms of a sequence. 2 9 16 23 Find the nth term of this sequence. … [2] (b) Here are the first four terms of a different sequence. 1 8 27 64 (i) Find the next term of this sequence. … [1] (ii) 42 875 is a term in this sequence. Work out the term number of 42 875. … [1]

15 0626/01/O/N/19 © UCLES 2019 22 The diagram shows two right-angled triangles, ABC and BCD. 23 m 11 m 9 m D C A B NOT TO SCALE Show that AC is 18.1 m correct to 1 decimal place. [4]

16 0626/01/O/N/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 syllabus is regulated for use in England as a Cambridge International Level 1/Level 2 (9–1) Certificate. 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 0626/01 Paper 1 October/November 2019 MARK SCHEME Maximum Mark: 60 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.

0626/01 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 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.

0626/01 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 3 of 5 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 3000 or 3 thousand 1 2 || 2 |||| |||| 9 |||| 5 | 1 2 B1 for any 2 correct frequencies or for all tallies correct 3 0.085 , 74% , 3 4 , 0.64 2 B1 for 3 in correct order or M1 for 2 of the following: 0.74, 0.8, 0.75 or 80%, 75%, 8.5% 4(a) Bombay beach 1 4(b) 1373 1 4(c) −155 1

0626/01 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 4 of 5 Question Answer Marks Partial Marks 5 30 × 0.8 [ ×4 ] oe M1 Implied by 24 4 × their 24 or 98 ÷ 4 M1 compares 96 with 98 or 24 with 24.5 and indicates 4 single tins A1 6 Correct ruled net 3 B2 for 4 rectangles correctly placed or B1 for 2 or 3 rectangles correctly placed 7(a) Valid explanation 1 7(b) Valid explanation 1 8 272 2 M1 for 340 ÷ 1.25 9(a) 15 625 1 9(b) 0 1 9(c) 5 7 2 B1 for 6 7 7 or 7 7 7 7 7 × × × × 10 9.42 or 9.43 or 9.424 to 9.426 2 M1 for [5 ×] 2 π 0.3 × × oe or for 5 × their circumference 11 8.75 oe 1 12(a) Valid explanation 1 12(b) Correct line 1 must be a single, straight, ruled line 12(c) 16 000 – 18 000 1 or FT their ruled line of best fit with negative gradient 12(d) Valid explanation 1 13(a) (0, 7) 1 13(b) 3 1 13(c) (−1, 4) 2 M1 for 4 = 3x + 7 or better 14(a) 1.5 oe 2 M1 for 5 7 2 x x + = + or better 14(b) 5 2 M1 for 16 3 7 x + = × oe 15 5 000 000 or 5 6 10 × 1 16 45 2 B1 for answer 3, 5, 9 or 15 or for [315 =] 3 × 3 × 5 × 7 or for [225 =] 3 × 3 × 5 × 5

0626/01 Cambridge IGCSE (9–1) – Mark Scheme PUBLISHED October/November 2019 © UCLES 2019 Page 5 of 5 Question Answer Marks Partial Marks 17 [0].55 3 M1 for conversion between hours and seconds soi M1 for use of speed × time 18(a) 5.03 or 5.034… 2 M1 for tan40 6 x = oe 18(b) 20 2 M1 for 12 8 30 y = oe 19 5 6 2x y final answer 2 B1 for 5 6 kx y or 6 2 kx y or 5 2 k x y 20 15 3 B1 for 24 M1 for 365 24k soi by e.g. 15.2 If 0 scored SC2 for final answer of 16 21(a) 7n − 5 oe final answer 2 B1 for 7n + c or kn − 5 k ≠ 0 21(b)(i) 125 1 21(b)(ii) 35 1 22 2 2 2 11 9 BC   = +   M1 2 2 2 23 AC theirBC = − M2 M1 for 2 2 2 23 AC theirBC = + AC = 18.08… A1