Cambridge IGCSE Mathematics - International 0607 — 2024 May/June Paper 3 · Variant 2

This document has 16 pages. [Turn over * 9 0 5 4 7 1 5 2 6 3 * Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) May/June 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 [ ]. DC (DE/CT) 336236/3 © UCLES 2024 ,

 

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2 0607/32/M/J/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 * 0019655409402 * ,

 

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3 0607/32/M/J/24 © UCLES 2024 [Turn over Answer all the questions. 1 (a) Write the number 20 202 in words. … [1] (b) Write the number 348.964 (i) correct to two decimal places … [1] (ii) correct to four significant figures … [1] (iii) correct to the nearest ten. … [1] (c) Write 6 1 , 0.16 , 17% in order of size, starting with the smallest. … , … , … [1] smallest (d) Work out. (i) 5 3 4 1 - … [1] (ii) 4 2 1 3 2 # … [1] (e) Divide $216 in the ratio 5 : 7 . $… , $… [2] (f) Write the ratio 3600 : 2400 : 600 in its simplest form. … : … : … [2] * 0019655409403 * ,

 

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4 0607/32/M/J/24 © UCLES 2024 2 (a) Levi is paid $549 for working 36 hours. Work out how much he is paid for each hour. $ … [1] (b) Levi saves $160 each month. Work out how much he saves in one year. $ … [1] (c) Levi invests $1300 at a rate of 1.2% per year compound interest. Calculate the value of Levi’s investment at the end of 3 years. $ … [2] (d) In a sale, a bicycle costing $1340 is reduced by 30%. Levi buys the bicycle in the sale. Work out how much Levi pays. $ … [2] (e) Levi takes part in a 40 km bicycle race. Levi starts the race at 09 00 and finishes at 10 15. All riders who cycle at a speed of 34 km/h or faster receive a medal. Does Levi receive a medal? Show how you decide. … because … [3] * 0019655409404 * ,

 

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5 0607/32/M/J/24 © UCLES 2024 [Turn over 3 12 students complete a reaction test. These are their times, in seconds. 21 25 18 31 11 42 33 35 20 32 15 41 (a) Complete the stem-and-leaf diagram for the times. 1 2 3 4 Key … | … = … seconds [3] (b) Write down the fastest reaction time. … s [1] (c) Find (i) the range … s [1] (ii) the median … s [1] (iii) the interquartile range … s [2] (iv) the mean. … s [1] * 0019655409405 * ,

 

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6 0607/32/M/J/24 © UCLES 2024 4 (a) These are the first four patterns of a sequence made using dots. Pattern 1 Pattern 2 Pattern 3 Pattern 4 Pattern 5 (i) In the space above draw Pattern 5. [1] (ii) Complete the table. Pattern number 1 2 3 4 5 6 Number of dots 1 3 6 [2] (iii) Write down the sum to calculate the number of dots in Pattern 7. … [1] (b) These are the first five terms of a different sequence. 5 9 13 17 21 (i) Write down the next term of the sequence. … [1] (ii) Find an expression for the nth term of the sequence. … [2] * 0019655409406 * ,

 

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7 0607/32/M/J/24 © UCLES 2024 [Turn over 5 NOT TO SCALE A B C D E The diagram shows quadrilateral ABCD with AD parallel to BC. (a) Write down the mathematical name for quadrilateral ABCD. … [1] (b) DC = 2.6 m, BC = 3.2 m and AE = 1.4 m. (i) Calculate the area of quadrilateral ABCD. … m2 [2] (ii) Calculate the perimeter of quadrilateral ABCD. … m [3] (iii) Use trigonometry to calculate angle EBA. Angle EBA = … [2] * 0019655409407 * ,

 

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8 0607/32/M/J/24 © UCLES 2024 6 (a) 0 x y 1 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 E A D B C The diagram shows five points, A, B, C, D and E. (i) Write down the coordinates of point C. ( … , …) [1] (ii) Write down the coordinates of the mid-point of EB. ( … , …) [1] (iii) Find the gradient of AE. … [1] (iv) Write down the equation of AD. … [1] (b) Describe fully the single transformation that maps triangle AED onto triangle CEB. … … [3] * 0019655409408 * ,

 

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9 0607/32/M/J/24 © UCLES 2024 [Turn over 7 (a) U = { A, C, E, G, L, N, R, T } X = { A, E, G, L, N } Y = { A, E, L, R, T } (i) Write down the elements in X Y + . … [1] (ii) Complete the Venn diagram. X Y U [2] (iii) Write down the elements in Yl. … [1] (b) Use set notation to describe the shaded region in each Venn diagram. P Q U P Q U … … [2] * 0019655409509 * ,

 

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10 0607/32/M/J/24 © UCLES 2024 8 12 11 10 9 8 7 6 5 4 3 2 1 The clock shows the time when Eduardo leaves the house in the morning to walk to school. He takes 20 minutes to walk to school. (a) Work out the time that Eduardo arrives at school. … [1] (b) The distance from Eduardo’s house to school is 1.5 kilometres. Write 1.5 kilometres in metres. … m [1] (c) On his way home from school, Eduardo buys the following items. 1 drink that costs $1.45 2 apples that cost $0.75 each 1 magazine that costs $3.50 (i) Work out the total cost. $ … [2] (ii) Work out the change he receives from $10. $ … [1] * 0019655409510 * ,

 

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11 0607/32/M/J/24 © UCLES 2024 [Turn over (d) The table shows how the 20 students in Eduardo’s class travel to school. Travel to school Walk Bicycle Bus Car Frequency 4 6 7 3 (i) Draw a bar chart to show the information in the table. 0 1 2 3 5 4 6 7 8 Walk Bicycle Bus Travel to school Frequency Car [2] (ii) One of the 20 students is chosen at random. Find the probability that this student travelled to school by car. … [1] (iii) There are 180 students in Eduardo’s year group. Calculate an estimate of the number of students who walk to school. … [1] * 0019655409511 * ,

 
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12 0607/32/M/J/24 © UCLES 2024 9 80° O NOT TO SCALE A B D C E 4.3 cm The diagram shows a circle with centre O and radius 4.3 cm. A, B and C are points on the circumference. DCE and AOC are straight lines. Angle AOB = 80°. (a) Write down the mathematical name for (i) AB AB is a … [1] (ii) DE. DE is a … [1] (b) Find (i) angle OCE Angle OCE = … [1] (ii) angle OAB. Angle OAB = … [2] * 0019655409512 * ,

 
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13 0607/32/M/J/24 © UCLES 2024 [Turn over (c) Work out the area of the minor sector AOB. Give the units of your answer. … … [3] * 0019655409513 * ,

 
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14 0607/32/M/J/24 © UCLES 2024 10 (a) Solve. (i) x 5 20 2 … [1] (ii) x 3 4 5 + =- x = … [2] (iii) x x 7 8 4 1 - = + x = … [2] (b) Simplify fully. x y x y 2 3 4 5 6 + - - + - … [2] (c) Write as a fraction in its simplest form. x y x 9 2 3 4 ' … [3] * 0019655409514 * ,

 
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15 0607/32/M/J/24 © UCLES 2024 [Turn over (d) Find the value of x. y y y x 4 12 # = x = … [1] (e) s t p 6 = - Rearrange the formula to make t the subject. t = … [2] Question 11 is printed on the next page. * 0019655409515 * ,

 
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16 0607/32/M/J/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. 11 y x 11 5 0 -3 - 5 (a) On the diagram, sketch the graph of y x 2 2 = - for values of x between 3 - and 5. [2] (b) Write down the coordinates of the point where the graph crosses the y-axis. (… , …) [1] (c) Write down the equation of each asymptote. … and … [2] (d) On the same diagram, sketch the graph of y x 2 1 = + for values of x between 3 - and 5. [2] (e) Find the x-coordinate of each point of intersection of y x 2 2 = - and y x 2 1 = + . … and … [2] * 0019655409516 * ,

 
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This document consists of 8 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) May/June 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 May/June 2024 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 2 of 8 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 May/June 2024 © Cambridge University Press & Assessment 2024 Page 3 of 8 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. 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

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 4 of 8 Question Answer Marks Partial Marks 1(a) Twenty thousand two hundred [and] two 1 1(b)(i) 348.96 1 1(b)(ii) 349.0 1 1(b)(iii) 350 1 1(c) 0.16, 1 6 , 17% 1 1(d)(i) 7 20 1 1(d)(ii) 3 1 1(e) 90 : 126 2 B1 for 216 5 7  soi by 18 1(f) 6 : 4 : 1 2 B1 for correct partial simplification 2(a) 15.25 1 2(b) 1920 1 2(c) 1347.36 2 M1 for , 1300 1.012k  1  k 2(d) 938 2 M1 for 70 1340 100  or 30 1340 100  soi by 402 2(e) [time =] 1 h 15 m or 1.25 h M1 [speed =] 40 time their [= 32] or 40 34 M1 No because “correct comparison of their 32 less than 34”. or 1.25 > 1.17 A1 FT their speed and a correct comparison with 34 A1 dep on second M1 Max. 2 marks if 1.15 used

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 5 of 8 Question Answer Marks Partial Marks 3(a) [1] 1 5 8 [2] 0 1 5 [3] 1 2 3 5 [4] 1 2 2 B1 for correct but unordered stem-and- leaf diagram or 2 or 3 rows correct e.g. Key 1  1 = 11 1 3(b) 11 1 3(c)(i) 31 1 3(c)(ii) 28 1 3(c)(iii) 15 2 B1 for 19 or 34 seen 3(c)(iv) 27 1 4(a)(i) correct pattern 1 4(a)(ii) 1 2 3 4 5 6 [1] [3] [6] 10 15 21 2 B1 for 2 correct 4(a)(iii) 21 + 7 or 1 + 2 + 3 + 4 + 5 + 6 + 7 oe 1 4(b)(i) 25 1 4(b)(ii) 4n + 1 oe final answer 2 B1 for 4  n p , any p 5(a) Trapezium 1 5(b)(i) 10.14 2 M1 for 1 3.2 2.6 oe or 2.6 1.4 oe 2    5(b)(ii) 13.4 or 13.35… 3 M1 for 2 2 1.4 2.6  M1 for their 2.95 + 3.2 + 2.6 + 3.2 + 1.4

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 6 of 8 Question Answer Marks Partial Marks 5(b)(iii) 28.3 or 28.19 to 28..34 2 M1 for tan[…] = 1.4 2.6 or sin[…] = 1.4 2.95 their or cos[…] = 2.6 2.95 their 6(a)(i) (9, 1) 1 6(a)(ii) (7, 5) 1 6(a)(iii) 3 4  1 6(a)(iv) 1  x 1 6(b) Rotation 180 (5, 4) 3 B1 for each 7(a)(i) A, E, L 1 Any order 7(a)(ii) Correct Venn diagram 2 B1 for 2 or 3 regions correct FT their (a)(i) 7(a)(iii) C, N, G 1 FT their diagram 7(b) P  Q (P  Q) or P  Q 2 B1 for each 8(a) 07 40 or 7 40 am 1 8(b) 1500 1 8(c)(i) 6.45 2 M1 for 1.45 + 2  0.75 + 3.50 8(c)(ii) 3.55 1 FT 10 – their 6.45 A E L G N R T C Y X U

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 7 of 8 Question Answer Marks Partial Marks 8(d)(i) Correct bar chart drawn 2 B1 for 2 or 3 bars correct or all correct heights but different widths 8(d)(ii) 3 20 oe 1 8(d)(iii) 36 1 9(a)(i) chord 1 9(a)(ii) tangent 1 9(b)(i) 90 1 9(b)(ii) 50 2 M1 for 180 80 2  9(c) 12.9 or 12.90 to 12.91… 2 M1 for 2 80 π 4.3 360   cm2 1 10(a)(i) 4  x 1 10(a)(ii) 3  x 2 M1 for 3 5 4  x or better 10(a)(iii) 3  x 2 M1 for 7 4 1 8   x x or better 10(b) 8 10   x y final answer 2 B1 for two correct terms 10(c) 6 y final answer 3 B2 for 6 36 xy x or better or B1 for correct partial cancellation or 2 3 9 4  x y x 10(d) 8 1 10(e)   6  s p t oe 2 M1 for 6   s p t or 6 6  s p t

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 8 of 8 Question Answer Marks Partial Marks 11(a) Correct sketch 2 B1 for correct shape B1 for crossing negative y-axis and not crossing x-axis 11(b)   0, 1  1 11(c) 2  x 0  y 2 B1 for each 11(d) Correct line drawn 2 B1 for positive gradient B1 for crossing the positive y-axis 11(e) –0.851 or –0.8508 to –0.8507 2.35 or 2.350 to 2.351 2 B1 for each If 0 scored, SC1 for –0.85 and 2.4 or –0.9 and 2.4