Cambridge IGCSE Mathematics - International 0607 — 2024 Oct/Nov Paper 3 · Variant 2

This document has 16 pages. [Turn over Cambridge IGCSE™ * 8 6 8 5 0 9 3 8 7 2 * DC (LK/CT) 329160/3 © UCLES 2024 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) October/November 2024 1 hour 45 minutes You must answer on the question paper. You will need: Geometrical instruments INSTRUCTIONS ● Answer all questions. ● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ● Write your name, centre number and candidate number in the boxes at the top of the page. ● Write your answer to each question in the space provided. ● Do not use an erasable pen or correction fluid. ● Do not write on any bar codes. ● You should use a graphic display calculator where appropriate. ● You may use tracing paper. ● You must show all necessary working clearly and you will be given marks for correct methods, including sketches, even if your answer is incorrect. ● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. ● For r, use your calculator value. INFORMATION ● The total mark for this paper is 96. ● The number of marks for each question or part question is shown in brackets [ ]. ,










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2 0607/32/O/N/24 © UCLES 2024 Formula List Area, A, of triangle, base b, height h. A = bh 2 1 Area, A, of circle, radius r. A = r2 r Circumference, C, of circle, radius r. C = 2rr Curved surface area, A, of cylinder of radius r, height h. A = 2rrh Curved surface area, A, of cone of radius r, sloping edge l. A = rrl Curved surface area, A, of sphere of radius r. A = r 4 2 r Volume, V, of prism, cross-sectional area A, length l. V = Al Volume, V, of pyramid, base area A, height h. V = Ah 3 1 Volume, V, of cylinder of radius r, height h. V = r h 2 r Volume, V, of cone of radius r, height h. V = r h 3 1 2 r Volume, V, of sphere of radius r. V = r 3 4 3 r * 0000800000002 * ,










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3 0607/32/O/N/24 © UCLES 2024 [Turn over Answer all the questions. 1 The points A, B and C are plotted on a one centimetre square grid. – 4 – 3 – 2 – 1 0 1 2 3 4 y x 1 – 1 – 2 –3 4 5 6 7 3 2 A B C (a) Write down the coordinates of point A, point B and point C. A = ( … , … ) B = ( … , … ) C = ( … , … ) [3] (b) On the grid, plot and label point D (6, -3). [1] (c) Complete the quadrilateral ABCD. Write down the mathematical name of quadrilateral ABCD. … [1] (d) On the grid, draw the line of symmetry of quadrilateral ABCD. [1] (e) Write down the coordinates of the mid-point of CB. ( … , … ) [1] (f) Work out the gradient of CB. … [2] * 0000800000003 * ,










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4 0607/32/O/N/24 © UCLES 2024 2 This table shows the number of newspapers sold in a shop each day during one week. Day of the week Sun Mon Tue Wed Thu Fri Sat Number of newspapers sold 135 105 170 130 120 150 205 (a) Find the total number of newspapers sold that week. … [1] (b) Find how many more newspapers were sold on Saturday than on Tuesday. … [1] (c) Find the range. … [1] (d) Find the median number of newspapers sold. … [2] * 0000800000004 * ,










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5 0607/32/O/N/24 © UCLES 2024 [Turn over (e) Complete the bar chart to show the information in the table. 110 100 120 130 140 150 160 170 180 190 200 210 y Sun Wed Day of the week Thu Fri Sat Tue Mon Number of newspapers sold [2] * 0000800000005 * ,










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6 0607/32/O/N/24 © UCLES 2024 3 (a) Work out .2 872. Give your answer correct to 2 decimal places. … [2] (b) Work out. . . . 6 1 3 8 29 7 + … [1] (c) Work out 64 3 . … [1] (d) Work out 5800 250 # . Give your answer in standard form. … [2] * 0000800000006 * ,










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7 0607/32/O/N/24 © UCLES 2024 [Turn over 4 (a) Petrol costs $2.47 for each litre. Dev buys a whole number of litres of petrol. Work out the greatest number of litres he can buy with $50 and how much change he gets. … litres with $ … change [3] (b) At the petrol station, it takes 3 seconds to pump each litre of petrol into a car. Work out how long it would take to pump 28 litres of petrol into a car. Give your answer in minutes and seconds. … minutes … seconds [2] (c) Dev drives at an average speed of 20 km/h for 30 minutes and then at an average speed of 58 km/h for 2 hours. Calculate the average speed for the whole journey. … km/h [4] * 0000800000007 * ,










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8 0607/32/O/N/24 © UCLES 2024 5 C B A F E D p° 75° 150° 70° z° y° x° NOT TO SCALE In the diagram, FED is a straight line. AB is parallel to DC and BD = BC. (a) Find the value of x, the value of y and the value of z. Give a geometric reason for each answer. x = … because … … y = … because … … z = … because … … [6] (b) Find the value of p. p = … [2] * 0000800000008 * ,










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9 0607/32/O/N/24 © UCLES 2024 [Turn over 6 (a) Factorise. x 5 10 + … [1] (b) Multiply out the brackets. ( ) x x x 3 2 - … [2] (c) In this question, all lengths are in centimetres. x x x 3 + x 3 + NOT TO SCALE (i) Find an expression, in terms of x, for the perimeter of this rectangle. Give your answer in its simplest form. … [2] (ii) The perimeter of this rectangle is 36 cm. Write down an equation in terms of x and solve it to find the longest side of the rectangle. … cm [4] * 0000800000009 * ,










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10 0607/32/O/N/24 © UCLES 2024 7 This formula can be used to convert between a temperature in °C, and a temperature in °F. . F C 1 8 32 = + (a) Use the formula to convert 15 °C to °F. … °F [2] (b) Use the formula to convert 86 °F to °C. … °C [2] (c) Rearrange . F C 1 8 32 = + to make C the subject. C = … [2] 8 Sam has a biased six-sided die. The table shows the probability of the die landing on each of the numbers 2 to 6. Number 1 2 3 4 5 6 Probability 0.16 0.18 0.18 0.16 0.11 (a) Work out the probability that the die will land on 1. … [2] (b) Sam throws the die once. Work out the probability that the die lands on 5 or 6. … [1] * 0000800000010 * ,










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11 0607/32/O/N/24 © UCLES 2024 [Turn over (c) Sam throws the die 50 times. Calculate an estimate of the number of times the die will land on 2. … [1] (d) Sam throws the die twice. (i) Complete the tree diagram. First throw Second throw 0.11 … 6 Not a 6 … 6 Not a 6 … … … 6 Not a 6 [2] (ii) Find the probability that Sam does not throw a 6 on either throw. … [2] * 0000800000011 * ,









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12 0607/32/O/N/24 © UCLES 2024 9 (a) 23 cm 85 cm 60 cm NOT TO SCALE The diagram shows the front of a washing machine. The front is a rectangle and the door is a circle. Work out the shaded area. … cm2 [3] * 0000800000012 * ,









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13 0607/32/O/N/24 © UCLES 2024 [Turn over (b) In a sale, the price of a washing machine is reduced from $1250 to $1175. (i) Work out the percentage reduction. … % [3] (ii) 3 years ago Tony invested $1000 at a rate of 8% per year simple interest. Is the value of his investment enough to buy the washing machine in the sale? Show how you decide. [4] * 0000800000013 * ,









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14 0607/32/O/N/24 © UCLES 2024 10 Kiara and Prisha are sisters. At New Year 2023, Kiara was 10 years old and Prisha was 14 years old. (a) At New Year 2023, their grandfather gives money to Kiara and Prisha. The money is divided in the ratio of their ages. Kiara receives $250. Work out the total amount the grandfather gives the sisters. $ … [3] (b) At New Year 2023, Kiara and Prisha’s aunt gives them $180 also to be divided in the ratio of their ages. Work out how much of the $180 each sister gets. Kiara $ … Prisha $ … [2] (c) Work out the ratio Kiara’s age : Prisha’s age at New Year 2029. Give your answer in its simplest form. … : … [2] * 0000800000014 * ,









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15 0607/32/O/N/24 © UCLES 2024 [Turn over 11 NOT TO SCALE 1.6 m 0.8 m 2.2 m The diagram shows the cross-section of a garden shed. The diagram has one line of symmetry. (a) The shed is a prism with length 1.5 m. Work out the volume of the shed. Give the units of your answer. … … [5] (b) NOT TO SCALE 1.6 m 2.2 m 0.8 m x m Use Pythagoras’ Theorem to work out the value of x. x = … [3] Question 12 is printed on the next page. * 0000800000015 * ,









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16 0607/32/O/N/24 © UCLES 2024 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 Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. 12 0 2 y x – 6 – 5 40 (a) (i) On the diagram, sketch the graph of y x x 6 3 2 = + for x 6 2 G G - . [2] (ii) Find the coordinates of the local minimum. ( … , … ) [1] (iii) Find the coordinates of the local maximum. ( … , … ) [1] (b) On the diagram, sketch the graph of y x 10 3 = - for x 6 2 G G - . [2] (c) Find the x-coordinate of each point of intersection of y x x 6 3 2 = + and y x 10 3 = - . x = … and x = … and x = … [3] * 0000800000016 * ,









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This document consists of 7 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) October/November 2024 MARK SCHEME Maximum Mark: 96 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 2024 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 2 of 7 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 descriptions 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.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 3 of 7 Mathematics-Specific Marking Principles 1 Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required then no marks will be awarded for a scale drawing. 2 Unless specified in the question, non-integer answers may be given as fractions, decimals or in standard form. Ignore superfluous zeros, provided that the degree of accuracy is not affected. 3 Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points. 4 Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw). 5 Where a candidate has misread a number or sign in the question and used that value consistently throughout, provided that number does not alter the difficulty or the method required, award all marks earned and deduct just 1 A or B mark for the misread. 6 Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate’s intent clear.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 4 of 7 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) [A=] (4, 3) [B=] (0, 3) [C=] (−2, −3) 3 B1 for each 1(b) (6, −3) plotted correctly 1 1(c) trapezium 1 FT their quadrilateral if possible 1(d) Correct line of symmetry 1 1(e) (−1, 0) 1 1(f) 3 2 M1 for rise run for any triangle based on line CB or for 1 1 2 2 − − y x y x with appropriate values of x and y 2(a) 1015 1

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 5 of 7 Question Answer Marks Partial Marks 2(b) 35 1 2(c) 100 1 2(d) 135 2 M1 for correct order of first 4 numbers or last 4 numbers 2(e) Correct bar chart 2 M1 for 3 or 4 bars with correct height and width or for all correct height but inconsistent widths 3(a) 8.24 2 B1 for 8.2369 If 0 scored, SC1 for their value to more than 2dp correctly rounded to 2dp 3(b) 3 1 3(c) 4 1 3(d) 1.45× 106 2 B1 for 1 450 000 oe 4(a) 20 with $0.6[0] change 3 B2 for 20 OR M1 for 50 2.47 soi by 20.24… M1 for 50 – their 20 × 2.47 or ( 50 2.47 – their 20) × 2.47 4(b) 1 minute 24 seconds 2 M1 for 28 × 3 If 0 scored, SC1 for their 84 correctly converted to minutes and seconds 4(c) 50.4 4 M1 for 20 × 0.5 soi by 10 M1 for 58 × 2 soi by 116 M1 for ( ) ( ) their total distance their totaltime 5(a) [x=]110 [Angles on a] line [add to] 180 [y=]65 [Angles in a] quadrilateral [add to] 360 [z=]75 Alternate angles 6 B1 for each angle B1 for each reason 5(b) [p=]30 2 M1 for 180 – (2×their75) oe 6(a) 5(x + 2) final answer 1 6(b) x3 – 3x2 final answer 2 B1 for x3 or – 3x2

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 6 of 7 Question Answer Marks Partial Marks 6(c)(i) 4x + 6 final answer 2 M1 for x + x + 3 + x + x + 3 soi 6(c)(ii) 4x + 6 = 36 M1 FT their (expression in x) = 36 10.5 3 B2 for [x =] 7.5 OR M1 for isolating the x term in their linear expression M1 for 3 + their x as answer [Dependent on first M1 scored] 7(a) 59 2 M1 for 1.8×15 + 32 soi 7(b) 30 2 M1 for 86 – 32 soi by 54 7(c) [C =] 32 1.8 − F oe final answer 2 M1 for F – 32 = 1.8C or 1.8 F = C + 32 1.8 8(a) 0.21 oe 2 M1 for (0.16 + 0.18 + 0.18 + 0.16 + 0.11) soi by 0.79 8(b) 0.27 oe 1 8(c) 8 1 8(d)(i) 0.11 and 0.89 placed correctly everywhere 2 B1 for 0.89 placed correctly once 8(d)(ii) 0.7921 2 M1 for their 0.89 × their 0.89 9(a) 3440 or 3437.8 to 3438.1 3 M2 for 85 × 60 – π ×232 or M1 for π × 232 or 85 × 60 9(b)(i) 6 3 M2 for 1250 1175 1250 − × 100 oe or M1 for 1250 1175 1250 − or 1175 1250 9(b)(ii) Yes, 1240 4 B3 for 1240 OR M2 for 1000 8 3 100  soi by 240 or M1 for 1000 × 0.08 soi by 80 After 0 scored, SC1 for Yes, 1259.71 or 1260 10(a) 600 3 M2 for 14 10 × 250 oe or M1 for 250 10 or better or 14 10 or better

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 7 of 7 Question Answer Marks Partial Marks 10(b) [Kiara] 75 [Prisha] 105 2 B1 for each or M1 for 180 10 14 + soi by 7.5 10(c) 4 : 5 2 B1 for 16:20 soi 11(a) 6.6 4 B3 for 4.4 OR M3 for (2.2 × 1.6 + ½ × 2.2 × 0.8) × 1.5 or M2 for 2.2 × 1.6 + ½ × 2.2 × 0.8 soi or M1 for 2.2 × 1.6 or ½ × 2.2 × 0.8 M1 FT for their(total area) × 1.5 m3 1 11(b) 1.36 or 1.360… 3 M2 for ( 2.2 2 )2 + 0.82 or B1for 1.1seen 12(a)(i) Correct cubic sketch 2 B1 for correct shape 12(a)(ii) (0, 0) 1 12(a)(iii) (−4, 32) 1 12(b) Correct ruled line sketch 2 B1 for line with negative gradient 12(c) −5, −2 and 1 3 B1 for each