Cambridge IGCSE Mathematics - International 0607 — 2024 Feb/March Paper 3 · Variant 2

This document has 20 pages. Any blank pages are indicated. DC (LK) 339781 © UCLES 2024 [Turn over * 6 1 3 0 3 9 4 3 2 7 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) February/March 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 [ ]. Cambridge IGCSE™

2 0607/32/F/M/24 © UCLES 2024 Formula List Area, A, of triangle, base b, height h. A = bh 2 1 Area, A, of circle, radius r. A = rr2 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 = 4rr2 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 = rr2h Volume, V, of cone of radius r, height h. V = rr h 3 1 2 Volume, V, of sphere of radius r. V = rr 3 4 3

3 0607/32/F/M/24 © UCLES 2024 [Turn over Answer all the questions. 1 (a) (i) Write 5048 correct to the nearest 10. … [1] (ii) Write 5048 correct to 2 significant figures. … [1] (b) 21 22 23 24 25 26 27 28 29 From this list of numbers, write down (i) a multiple of 7, … [1] (ii) a cube number, … [1] (iii) a prime number. … [1] (c) (i) Find the value of 3375 3 . … [1] (ii) 3 3 3 3 3 3n # # # # = Write down the value of n. n = … [1] (iii) Write 20 13 as a percentage. …% [1]

4 0607/32/F/M/24 © UCLES 2024 2 y x 0 C B A 1 2 3 4 5 6 –5 –6 –4 –3 2 3 4 5 6 –5 –6 –4 –3 –2 –1 1 –2 –1 The diagram shows triangle ABC drawn on a 1 cm2 grid. (a) Write down the coordinates of (i) C, ( … , … ) [1] (ii) A, ( … , … ) [1] (iii) the mid-point of CB. ( … , … ) [1] (b) Measure angle CAB. Angle CAB = … [1]

5 0607/32/F/M/24 © UCLES 2024 [Turn over (c) Find, by measuring, the perimeter of triangle ABC. …cm [2] (d) Calculate the area of triangle ABC. Give the units of your answer. … … [2] (e) On the grid, draw the reflection of triangle ABC in the line x 2 = . [2]

6 0607/32/F/M/24 © UCLES 2024 3 (a) Bijal is drawing a bar chart to show the number of bottles of still water and the number of bottles of sparkling water sold in a shop on each of five days. 0 Monday Tuesday Wednesday Number of bottles Thursday Friday 2 4 6 8 10 12 14 16 18 20 22 24 26 Still water Sparkling water (i) 12 bottles of sparkling water were sold on Friday. Complete the bar chart. [1] (ii) Write down the number of bottles of sparkling water sold on Wednesday. … [1] (iii) Write down the number of bottles of still water sold on Friday. … [1] (iv) Write down the day on which equal numbers of bottles of still water and bottles of sparkling water were sold. … [1]

7 0607/32/F/M/24 © UCLES 2024 [Turn over (v) Write down the day on which the greatest number of bottles of still water was sold. … [1] (vi) Work out how many bottles of water were sold during the five days. … [2] (b) A box contains 2 bottles of still water and 5 bottles of sparkling water. All bottles are the same size and shape. One of the bottles is chosen at random. Work out the probability that this bottle contains sparkling water. … [1] (c) Tandi has a full 2 litre bottle of still water. Work out the greatest number of 330 ml glasses that she can completely fill using the 2 litres of water. … [2]

8 0607/32/F/M/24 © UCLES 2024 4 Two companies sell invitation cards. Here is how each company works out the price of the cards. Company A $1.35 for each card plus $24.50 Company B . P n 1 55 = where P is the price in dollars and n is the number of cards (a) David wants to buy 140 cards. Work out which company is cheaper, and by how much. Company … is cheaper by $ … [4] (b) Nor has $100 to spend on cards. Find which company gives the largest number of cards for $100. How many more cards does this company give? Company … would give … more cards [4] (c) Rearrange the formula to make n the subject. . P n 1 55 = n = … [1]

9 0607/32/F/M/24 © UCLES 2024 [Turn over 5 (a) Simplify fully. x y x y 3 4 5 + - + … [2] (b) Solve. (i) x 2 8 = x = … [1] (ii) x 2 3 6 - = x = … [2] (c) Factorise fully. ab a 2 8 + … [2] (d) Multiply out the brackets and simplify. ( )( ) x x 5 1 + - … [2]

10 0607/32/F/M/24 © UCLES 2024 6 (a) There are 110 boys and 80 girls in a school. 20% of the boys and 15% of the girls wear spectacles. Work out how many boys and girls altogether wear spectacles. … [3] (b) Ten students are asked the cost of their spectacles. Here are their responses, in dollars. 207 302 261 145 356 274 162 384 269 184 Work out (i) the mean, $ … [1] (ii) the range, $ … [1] (iii) the median. $ … [1]

11 0607/32/F/M/24 © UCLES 2024 [Turn over (c) The lenses in one pair of spectacles are circles of diameter 5 cm. 5 cm NOT TO SCALE 5 cm Both sides of each lens are covered with a special coating. Work out the total area covered. …cm2 [3]

12 0607/32/F/M/24 © UCLES 2024 7 (a) NOT TO SCALE 52° x° The diagram shows an isosceles triangle with one side extended. Work out the value of x. x = … [3] (b) A regular polygon has 9 sides. Work out the size of one interior angle. … [3] (c) NOT TO SCALE 5 cm 3 cm y° Work out the value of y. y = … [2]

13 0607/32/F/M/24 © UCLES 2024 [Turn over 8 Aisha, Ben and Cressida work for a bank. Aisha earns $96 000, Ben earns $120 000 and Cressida earns $192 000. (a) Write the ratio 96 000 : 120 000 : 192 000 in its simplest form. … : … : … [2] (b) Aisha, Ben and Cressida share a bonus of $425 000 in the ratio of their earnings. Work out how much each person receives. Aisha $ … Ben $ … Cressida $ … [3]

14 0607/32/F/M/24 © UCLES 2024 9 (a) A group of 30 students all wear contact lenses. Each of the students is asked at what age they started wearing contact lenses. The results are shown in the table. Age (years) Frequency 12 12 13 7 14 4 15 5 16 2 Work out the mean age. … years [2] (b) In a school, the probability that a student chosen at random wears contact lenses is 15 1 . There are 345 students in the school. Work out the expected number of students wearing contact lenses. … [1]

15 0607/32/F/M/24 © UCLES 2024 [Turn over (c) In a university, the probability that a student wears contact lenses is 10 1 . Two students from the university are chosen at random. (i) Complete the tree diagram. First student Contact lenses … … … … … Contact lenses No contact lenses No contact lenses Contact lenses No contact lenses Second student 10 1 [2] (ii) Work out the probability that only one of the two students wears contact lenses. … [3]

16 0607/32/F/M/24 © UCLES 2024 10 (a) On the diagram, sketch the graph of y x x 3 2 = + for x 4 4 G G - . y x 0 –4 4 30 –30 [2] (b) Write down the coordinates of the local minimum point. ( … , … ) [2] (c) On the diagram, sketch the graph of y x x 5 3 2 = + - for x 4 4 G G - . [2] (d) Solve. x x x x 3 5 3 2 2 + = + - x = … or x = … [2]

17 0607/32/F/M/24 © UCLES 2024 [Turn over 11 (a) Write 180 as a product of its prime factors. … [2] (b) (i) Write the value of 1803 in standard form. … [2] (ii) Write the value of 180 1 3 in standard form. … [1]

18 0607/32/F/M/24 © UCLES 2024 12 (a) NOT TO SCALE 6 cm 85 cm 8 cm 8 cm A gate post is a cuboid with a square base pyramid on top. The height of the cuboid is 85 cm and the height of the pyramid is 6 cm. Calculate the total volume of the gate post. …cm3 [3]

19 0607/32/F/M/24 © UCLES 2024 (b) NOT TO SCALE 85 cm 110 cm The diagram shows a gate made using six lengths of wood. Work out the total length of wood used to make the gate. …cm [4]

20 0607/32/F/M/24 © UCLES 2024 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 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.

This document consists of 7 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) February/March 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 February/March 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 February/March 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 February/March 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. 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 February/March 2024 © Cambridge University Press & Assessment 2024 Page 4 of 7 Question Answer Marks Partial Marks 1(a)(i) 5050 1 1(a)(ii) 5000 1 1(b)(i) 21 or 28 1 1(b)(ii) 27 1 1(b)(iii) 23 or 29 1 1(c)(i) 15 1 1(c)(ii) 5 1 1(c)(iii) 65 1 2(a)(i) (1, 2) 1 2(a)(ii) (–2, –2) 1 2(a)(iii) (1, 0) 1 2(b) 53 1 2(c) 12 2 B1 for 5 seen 2(d) 6 cm2 2 B1 for each 2(e) Correct reflection (3, 2) (3, –2) (6, –2) 2 B1 for correct reflection in y = 2 or for correct reflection in any vertical mirror line 3(a)(i) Correct bar drawn 1 3(a)(ii) 16 1 3(a)(iii) 7 1 3(a)(iv) Thursday 1 3(a)(v) Wednesday 1 3(a)(vi) 136 2 B1 for [still =] 60 or [sparkling =] 76 or for three of 38, 26, 33, 20, 19 If 0 scored, SC1 for answer 124 3(b) 5 7 oe 1 3(c) 6 2 B1 for 2000 ÷ 330 soi by 6.06…

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2024 © Cambridge University Press & Assessment 2024 Page 5 of 7 Question Answer Marks Partial Marks 4(a) A [is cheaper by$] 3.5[0] 4 B1 for [B =] 217 B2 for [A =] 213.5[0] or B1 for 189 4(b) B [would give] 9 [more cards] from A = 55 and B = 64 4 B1 for [B =] 64 or 65 B2 for [A =] 55 or 56 or B1 for 75.5[0] 4(c) 1.55 P or P ÷ 1.55 1 5(a) 2x + 9y final answer 2 B1 for 2x or 9y 5(b)(i) 16 1 5(b)(ii) 4.5 oe 2 B1 for 2x = 6 + 3 or x − 3 2 = 6 2 or better 5(c) 2a(b + 4) final answer 2 B1 for 2(ab + 4a) or a(2b + 8) 5(d) x2 + 4x – 5 final answer 2 B1 for three of x2 , [+]5x , −[1]x , – 5 6(a) 34 3 B2 for 22 [boys] or 12 [girls] or M1 for [0].2[0] × 110 oe or [0].15 × 80 oe 6(b)(i) 254.4[0] 1 6(b)(ii) 239 1 6(b)(iii) 265 1 6(c) 4 × π × 2.52 or 2 × π × 2.52 M2 or M1 for π × 2.52 78.5 or 78.6 or 78.53 to 78.55 A1 If 0 scored, SC1 for 314.[…] 7(a) 116 3 B2 for [base angle =] 64 or M1 for 180 52 2 − 7(b) 140 3 B2 for [exterior angle =] 40 or M1 for 360 9 OR M2 for ( ) 9 2 180 9 −  oe or M1 for ( ) 9 2 180 −  oe 7(c) 31[.0] or 30.96… 2 M1 for tan[ ] = 3 5 soi

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2024 © Cambridge University Press & Assessment 2024 Page 6 of 7 Question Answer Marks Partial Marks 8(a) 4 : 5 : 8 2 M1 for any correct cancelling 8(b) A 100 000 B 125 000 C 200 000 3 B2 for one value correct or M1 for ( ) 425 000 4 5 8 their + + or 425 000 408 000 their oe 9(a) 13.3 or 13.26 to 13.27 2 M1 for 12 × 12 + 13 × 7 + 14 × 4… 9(b) 23 1 9(c)(i) Completed tree diagram 2 B1 for 9 10 correctly placed once 9(c)(ii) 18 100 oe 3 FT their tree diagram for method marks M2 for 1 9 9 1 10 10 10 10  +  oe or M1 for 1 9 10 10  oe 10(a) Correct sketch 2 B1 for correct shape or for vertex in correct quadrant 10(b) (–1.5, –2.25) oe 2 B1 for each 10(c) Correct sketch 2 B1 for correct shape or for vertex in correct quadrant 10(d) –1.58 or 1.58 2 B1 for each 11(a) 2 × 2 × 3 × 3 × 5 oe 2 M1 for any product of factors of 180 oe or for 2, 3, 5 as final answer 11(b)(i) 5.832 × 106 2 B1 for 5 832 000 11(b)(ii) 1.71 × 10–7 or (1.714 to 1.715) × 10-7 1 FT their (b)(i)

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2024 © Cambridge University Press & Assessment 2024 Page 7 of 7 Question Answer Marks Partial Marks 12(a) 5568 or 5570 3 M2 for 1 8 8 85 8 8 6 3  +  oe soi by 5440 and 128 or M1 for 8 8 85  or 1 8 8 6 3  oe soi 12(b) 614 or 614.0… 4 M3 for 2 2 85 3 110 2 85 110 + + + oe soi or M2 for 2 2 85 110 + oe soi by 139 or M1 for 2 2 85 110 + or for 85 × 3 and 110 × 2 or 85 × 3 and 110 × 2 plus their diagonal length oe soi