Cambridge IGCSE Mathematics - International 0607 — 2024 Oct/Nov Paper 1 · Variant 2
0607/12/O/N/24 · 40 marks · ≈45 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper8 pages








Mark scheme6 pages
Answers below. Sit the paper first if you are practising.






Paper as text
Question paper, page 1
This document has 8 pages. [Turn over Cambridge IGCSE™ * 5 8 7 2 1 4 5 2 6 7 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) October/November 2024 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. ● Calculators must not be used in this paper. ● You may use tracing paper. ● You must show all necessary working clearly and you will be given marks for correct methods even if your answer is incorrect. ● All answers should be given in their simplest form. INFORMATION ● The total mark for this paper is 40. ● The number of marks for each question or part question is shown in brackets [ ]. DC (DE/SG) 332661/3 © UCLES 2024 , , * 0000800000001 * ¬Oz> 4mHuOªE`z5W ¬a0zN¡¦¨[s¢e6 ¥¥UuuEu¥u¥E u¥UU
Question paper, page 2
2 0607/12/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 * , , ĬÍú¾Ġ´íÈõÏĪÅĊÝü·þ× Ĭá®ùÏĥĢĂäþñýčÀ³ºĉĂ ĥÅõÕµĕąĕÕµµąąµąÕõÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 3
3 0607/12/O/N/24 © UCLES 2024 [Turn over Answer all the questions. 1 4 10 15 40 60 From the list of numbers, write down all the factors of 20. … [1] 2 Complete the statement with the correct mathematical name. In a circle, … = 2 # radius. [1] 3 Write the number eighty million in figures. … [1] 4 This formula is used to find the cost to make a number of chairs. cost in dollars = 5 # number of chairs + 30 Work out the cost to make 10 chairs. $ … [2] 5 The cost of one ticket for a show is $7.50 . Work out the cost of 50 tickets. $ … [1] 6 Faris is collecting data about cars. Write down an example of continuous data that Faris could collect. … [1] * 0000800000003 * , , ĬÏú¾Ġ´íÈõÏĪÅĊÝú·þ× Ĭáú×ģĞòÕüĀÌɸħºùĂ ĥÅąĕõõĥõÅÅĥąąÕĥĕĥÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 4
4 0607/12/O/N/24 © UCLES 2024 7 A box contains 25 centilitres of juice. Work out the total amount of juice in 10 boxes. Give your answer in litres. … litres [2] 8 Write 85% as a fraction in its simplest form. … [2] 9 Complete the mapping diagram. 1 2 3 … 10 … 8 13 28 48 [2] 10 Sofia records the number of photos she takes each day during her two-week holiday. 18 17 9 12 25 8 21 20 22 9 13 17 9 10 Complete the stem-and-leaf diagram to show this information. 0 1 2 Key … | … represents … photos [3] * 0000800000004 * , , ĬÍú¾Ġ´íÈõÏĪÅĊßü·Ā× Ĭáû×ĩĐ÷âöćÃīĜÅêāĂ ĥõÕĕµõĥÕåĥĕąÅÕÅĕõÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 5
5 0607/12/O/N/24 © UCLES 2024 [Turn over 11 NOT TO SCALE 15 cm 20 cm 40 cm Work out the total surface area of the cuboid. … cm2 [3] 12 Zara asks 20 people how many times they buy fuel for their car during a two-week period. The table shows this information. Number of times 1 2 3 4 Frequency 4 5 8 3 (a) Find the mode. … [1] (b) Find the mean. … [2] 13 Write down all the integer values of x that satisfy this inequality. x 1 2 1 G - … [2] * 0000800000005 * , , ĬÏú¾Ġ´íÈõÏĪÅĊßú·Ā× Ĭá®üÏğĔćץúÝĤđêñĂ ĥõåÕõĕąµµĕÅąÅµåÕĥÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 6
6 0607/12/O/N/24 © UCLES 2024 14 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 10 x y A Translate shape A by 2 3 - - e o . [2] 15 Pia cycles from Q on a bearing of 260°. Draw a line to show the direction of Pia’s route. Q North [1] * 0000800000006 * , , ĬÑú¾Ġ´íÈõÏĪÅĊÞú¶þ× ĬáüÔĥüýÏćċïÏĜôĂāĂ ĥåąÕõµąĕõõĥąąµąĕµÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 7
7 0607/12/O/N/24 © UCLES 2024 [Turn over 16 U = {numbers from 0 to 22} A = {multiples of 4} B = {square numbers} (a) Write down the elements of A. … [1] (b) Write down the elements of A B + . … [1] 17 Simplify. t t 6 3 ' … [1] 18 The nth term of a sequence is n k 3 + , where k is a positive integer. The 10th term is 38. (a) Find the value of k. k = … [2] (b) Find the 5th term of the sequence. … [1] 19 Work out. 2 11 2 1 5 3 - … [3] Questions 20 and 21 are printed on the next page. * 0000800000007 * , , ĬÓú¾Ġ´íÈõÏĪÅĊÞü¶þ× Ĭá®ûÜģøíêñöºċĤèĂñĂ ĥåõĕµÕĥõĥąµąąÕĥÕåÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Question paper, page 8
8 0607/12/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. 20 Find the gradient of the line y x 5 3 20 = + . … [1] 21 100 students take a biology test. The cumulative frequency curve shows the results. 100 80 60 Cumulative frequency 40 20 0 0 10 20 30 Mark 40 50 (a) Use the curve to estimate the median mark. … [1] (b) Find how many students gained more than 35 marks. … [2] * 0000800000008 * , , ĬÑú¾Ġ´íÈõÏĪÅĊàú¶Ā× Ĭá®úÜĩĆüÍïí±éÀĆĒĉĂ ĥĕåĕõÕĥÕąåÅąÅÕÅÕµÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
Mark scheme, page 1
This document consists of 6 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) October/November 2024 MARK SCHEME Maximum Mark: 40 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.
Mark scheme, page 2
0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 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 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.
Mark scheme, page 3
0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 3 of 6 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, page 4
0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 4 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 4 and 10 only 1 2 Diameter 1 3 80 000 000 cao 1 4 80 2 M1 for 5 × 10 + 30 or B1 for 50 seen 5 375 1 6 Valid type e.g. length, mass, height etc. 1 7 2.5 2 B1 for 1 litre = 100 cl soi or 250 [cl] 8 17 20 cao 2 B1 for 85 100 oe proper fraction seen
Mark scheme, page 5
0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 5 of 6 Question Answer Marks Partial Marks 9 3 6 2 B1 for each in correct place 10 3 B2 for all three rows correct and ordered or B1 for two rows correct and ordered or three rows correct but unordered or 12 or 13 values correctly placed and ordered B1 for key with correct example in range 08 to 25 11 3400 3 M2 for (40 × 20 + 15 × 20 + 40 × 15)[× 2] oe or M1 for two of 40 × 20, 15 × 20, 40 × 15 soi 12(a) 3 cao 1 12(b) 2.5 nfww 2 M1 for 1 × 4 + 2 × 5 + 3 × 8 + 4 × 3 soi by 50 13 -1, 0, 1 2 B1 for 2 correct values with no extras or 3 correct values with one extra 14 Correct diagram with vertices at (1, 1), (3, 1), (4, 2), (4, 3), (1, 3) 2 B1 for translation 3 − k or 2 − k 15 Correct bearing drawn with ruled line 1 16(a) 4, 8, 12, 16, 20 1 16(b) 4, 16 1 FT their (a) provided at least one square number 17 3t cao 1 18(a) 8 2 M1 for 3 × 10 + k = 38 oe 18(b) 23 1 FT 3 × 5 + their k 19 32 55 3 M2 for 120 – 88 55 or 110 – 33 55 or M1 for correct common denominator of 55 used with at least one numerator correct or B1 for 24 11 or 8 5 or 120 55 or 88 55
Mark scheme, page 6
0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 6 of 6 Question Answer Marks Partial Marks 20 3 5 or 0.6 1 21(a) 32 1 21(b) 28 2 B1 for 72 seen or M1 for 100 – their 72, their 72 must be an integer
What you needed in this session
Cambridge’s own grade thresholds for 2024 Oct/Nov, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.