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This document consists of 14 printed pages and 2 blank pages. IB09 11_0842_02/MS © UCLES 2009 [Turn over *7060663106* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Primary Achievement Test MATHEMATICS 0842/02 Paper 2 October/November 2009 MARK SCHEME Maximum Mark : 39 IMPORTANT NOTICE Mark Schemes have been issued on the basis of one copy per Assistant examiner and two copies per Team Leader.

2 © UCLES 2009 0842/02/MS/O/N/09 Mathematics mark schemes – Achievement Test Guidelines for marking test papers These mark schemes are designed to provide you with all the information \ necessary to mark the Primary Mathematics Achievement Tests. As far as possible, the mark \ schemes give you full guidance regarding acceptable and unacceptable alternative answers \ and, where appropriate, include examples of student work to illustrate the marking \ points. However, it is not always possible to predict all the alternative answers that may be p\ roduced by students and there could be places where the marker will have to use their profes\ sional judgement. In these cases it is essential that such judgement be applied consistent\ ly. The guidelines below should be followed throughout ( unless the mark scheme states otherwise ):  A correct answer should always be awarded full marks even if the working\ shown is wrong.  Where more than one mark is available for a question the mark scheme exp\ lains where each mark should be awarded. In some cases marks are available fo\ r demonstration of the correct method even if the final answer is incorrec\ t. The method marks can be awarded if the correct method is used but a mistake has bee\ n made in the calculation, resulting in a wrong answer. Method marks can also be \ awarded if the calculation is set up and performed correctly but incorrect values h\ ave been used, e.g. due to misreading the question or a mistake earlier in a seri\ es of calculations.  If a question uses the answer to a previous question or part question th\ at the student answered incorrectly, all available marks can be awarded for the latter \ question if appropriate calculations are performed correctly using the value carried\ forward. Places where such consideration should be made are indicated in the mark\ schemes. In these cases, it is not possible to provide all the alternative accept\ able answers and the marker must follow the student’s working to determine whether cre\ dit should be given or not.  Half marks should not be awarded and at no point should an answer be awa\ rded more than the maximum number of marks available, regardless of the quali\ ty of the answer.  If the student has given more than one answer, the marks can be awarded \ if all the answers given are correct. However, if correct and incorrect answers ar\ e given together, marks should not be awarded (marks for correct working out ca\ n still be gained).  If the answer line is blank but the correct answer is given elsewhere, e\ .g. an annotation on a graph or at the end of the working out, the marks can be\ awarded provided it is clear that the student has understood the requirements of\ the question.  If the response on the answer line is incorrect but the correct answer i\ s shown elsewhere, full marks can still be awarded if the student has made the e\ rror when copying the answer onto the answer line. If the incorrect final answer \ is the result of redundant additional working after the correct answer had been reached, \ the marks can be awarded provided the extra work does not contradict that already \ done.

3 © UCLES 2009 0842/02/MS/O/N/09 [Turn over  Each question and part question should be considered independently and m\ arks for one question should not be disallowed if they are contradicted by workin\ g or answers in another question or part question.  Any legible crossed-out work that has not been replaced can be marked; b\ ut, if work has been replaced, the crossed-out part should be ignored.  If the student’s response is numerically or algebraically equivalent \ to the answer in the mark scheme, the mark should be given unless a particular form of answer\ was specified by the question.  Diagrams, symbols or words are acceptable for explanations or responses.\  Where students are required to indicate the correct answer in a specific\ way, e.g. by underlining, marks should be awarded for any unambiguous indication, e.g\ . circling or ticking.  Any method of setting out working should be accepted.  Standard rules for acceptable formats of answers involving units, money,\ duration and time are given overleaf. Each question on the test paper has a box beside it for the teacher to r\ ecord the mark obtained. It is advisable to use these boxes so that students, and othe\ rs looking at the test papers, can clearly see where the marks have been awarded. It should also be noted that marking in red ink and using the mark boxes\ is an essential requirement for the Achievement tests. A working marksheet, together with instructions for its completion, is i\ ncluded in this mark scheme. A completed copy should be despatched with the moderation sample\ . General rules for alternative answers In most places on the mark schemes acceptable and unacceptable alternati\ ve answers are given in detail, however some general rules are given overleaf and are n\ ot necessarily repeated in full for each question that they apply. Number and Place value The table shows various general rules in terms of acceptable decimal ans\ wers. Accept Accept omission of leading zero if answer is clearly shown, e.g. .675 Accept tailing zeros, unless the question has asked for a specific numbe\ r of decimal places, e.g. 0.7000 Always accept appropriate tailing zeros, e.g. 3.00m; 5.000kg Accept a comma as a decimal point if that is that convention that you ha\ ve taught the student, e.g. 0,638

4 © UCLES 2009 0842/02/MS/O/N/09 Units For questions involving quantities, e.g. length, mass, time or money, co\ rrect units must be given in the answer. The table shows acceptable and unacceptable versio\ ns of the answer 1.85m. Correct answer Also accept Do not accept Units are not given on answer line and question does not specify unit for the answer. 1.85m Correct conversions provided that the unit is stated, e.g. 1m 85cm 185cm 1850mm 0.00185km 1.85 185m If the unit is given on the answer line, e.g. ……………………………m …..1.85…… m Correct conversions, provided the unit is stated unambiguously, e.g. …..185cm….. m …..185……m …..1850.… m etc. If the question states the unit that the answer should be given in a specified unit, e.g. “Give your answer in metres” 1.85m 1.85 1m 85cm 185; 1850 Any conversions to other units, e.g. 185cm Note: if the answer line is left blank but the correct answer is given elsewh\ ere on the page, it can be marked correct if the units match those on the answer line or are\ unambiguously stated.

5 © UCLES 2009 0842/02/MS/O/N/09 [Turn over Money For questions involving money, it is essential that appropriate units ar\ e given in the answer. The table shows acceptable and unacceptable versions. Accept Do not accept If the amount is in dollars and cents, the answer should be given to two decimal places. $0.30 $9 or $9.00 If units are not given on answer line Any unambiguous indication of the correct amount, e.g. 30 cents; 30 c $0.30; $0.30c; $0.30cents $0-30; $0=30; $0:30 30 or 0.30 without a unit Incorrect or ambiguous answers, e.g. $0.3; $30; $30cents; 0.30cents If $ is shown on the answer line $....... 0.30……. $....... 0.30 cents…. Accept all unambiguous indications, as shown above $....... 30……. $....... 30 cents…. (this cannot be accepted because it is ambiguous, but if the dollar sign is deleted it becomes acceptable) If cents is shown on the answer line ....... 30…….cents ....... $0.30 …….cents ....... 0.30 …….cents ....... $30…….cents Duration Accept any unambiguous method of showing duration and all reasonable abb\ reviations of hours (h, hr, hrs), minutes (m, min, mins) and seconds (s, sec, sec\ s). Accept Do not accept Any unambiguous indication using any reasonable abbreviations of hours (h, hr, hrs), minutes (m, min, mins) and seconds (s, sec, secs), e.g. 2 hours 30 minutes; 2h 30m; 02h 30m 5 min 24 sec; 00h 05m 24s Incorrect or ambiguous formats, e.g. 2.30; 2.3; 2.30 hours; 2.30 min; 2h 3; 2.3h Any correct conversion with appropriate units, e.g. 2.5 hours; 150 mins 324 seconds 2.5; 150 304 Also accept unambiguous digital stopwatch format, e.g. 02:30:00 00:05:24; 05:24s Do not accept ambiguous indications, e.g. 02:30 5.24

6 © UCLES 2009 0842/02/MS/O/N/09 Time There are many ways to write times, in both numbers and words, and marks\ should be awarded for any unambiguous method. Accept time written in numbers or w\ ords unless there is a specific instruction in the question. Some examples are give\ n in the table. Accept Do not accept Any unambiguous indication of correct answer in numbers, words or a combination of the two, e.g. 07:30, 19:00 0730; 07 30; 07.30; 07,30; 07-30; 7.30; 730 a.m.; 7.30am; 7.30 in the morning Half past seven (o’clock) in the morning Thirty minutes past seven am Also accept: O-seven-thirty 1900; 19 00; 19_00 etc. Nineteen hundred (hours) Seven o’clock in the afternoon/evening Accept correct conversion to 12-hour clock, e.g. 16:42 4:42 p.m. Sixteen forty two Four-forty-two in the afternoon/evening Four forty two p.m. Forty two (minutes) past four p.m. Eighteen (minutes) to five in the evening Also accept a combination of numbers and words, e.g. 18 minutes to 5 p.m. 42 minutes past 4 in the afternoon Incorrect or ambiguous formats, e.g. 07.3; 073; 07 3; 730; 73; 7.3; 7.3am; 7.30p.m 19; 190; 19 000; 19.00am; 7.00am 4.42am; 0442; 4.42 Forty two (minutes) past sixteen Eighteen (minutes) to seventeen

7 © UCLES 2009 0842/02/MS/O/N/09 [Turn over Question Mark Answer 1 3Nn9 1 3 8 38 83 Question Mark Answer 2 3Nn13 1 4 3 or equivalent Also accept 0.75 Question Mark Answer 3 3Nn3 1 317 Question Mark Answer 4a 3Ss1 1 Pentagon Also accept regular pentagon b 3Ss3 1 Any one clearly drawn accurate line. Allow mark if no ruler is used, provided intention is clear. Allow mark if more than one correct line is drawn. Question Mark Answer 5 4Nn8 1 -4 (ºC) Question Mark Answer 6 3P1 1 9

8 © UCLES 2009 0842/02/MS/O/N/09 Question Mark Answer 7 4Sp9 1 45 (º) Question Mark Answer 8 3Sm6 1 minutes Accept any indication of minutes for 1 mark. Also accept seconds. Question Mark Answer 9 3Ss3 1 Both lines must be ticked to earn the mark. Question Mark Answer 10 3Nc8 1 3 (sweets) Question Mark Answer 11 3Nc12 1 32 18 22 16 24 34 14 8 17 11 All 3 lines must be correct to get the mark.

9 © UCLES 2009 0842/02/MS/O/N/09 [Turn over Question Mark Answer 12 5Sp2 1 Accept any indication of these two lines for 1 mark. Question Mark Answer 13a 4D5 1 14 b 4D5 1 5 Question Mark Answer 14 3Sm8 1 Accept any of the following: 24( th) April April 24( th) 24/4 4/24 Question Mark Answer 15a 5P2 1 Double (each number) or multiply by 2 Accept explanation in symbols for example x2 b 5P2 1 256 Question Mark Answer 16 5Nn1 1 Seven hundred and one thousand eight hundred and fifty. Accept any reasonable spelling

10 © UCLES 2009 0842/02/MS/O/N/09 Question Mark Answer 17a 6D4 1 3 b 6D4 1 5 c 6D5 1 3.5 Question Mark Answer 18 5P6 4 14 Award full marks for correct answer. If final answer incorrect, award marks as follows: Award 3 marks for evidence of 16, including 30 – 16 seen. Award 2 marks for evidence of both 6 and 10 Award 1 mark for evidence of either 6 or 10 Award 1 mark for evidence of 6 + 10 = correct answer, where one of 6 or 10 is incorrect. Question Mark Answer 19 5Nc3 1 1000 1500 2500 All three correct for 1 mark Question Mark Answer 20 6Ss4 1

11 © UCLES 2009 0842/02/MS/O/N/09 [Turn over Question Mark Answer 21 5Nc6 1 30 Question Mark Answer 22 6Sp3 1 Angle should measure 74-76º inclusive. Accept correct angle drawn elsewhere. Question Mark Answer 23 6Nn9 2 2 × 2 × 3 × 5 or 2 2 × 3 × 5 Also accept 2,2,3,5 or 2 2,3,5 Numbers may be multiplied or listed in any order. Award 1 mark for any 3 correct prime factors given. Question Mark Answer 24 6P4 1 b = 4 a + 3 Also accept: 3 + 4 a 4 × a + 3 3 + 4 × a a × 4 + 3 3 + a × 4 Although not normal convention accept a 4 + 3 or 3 + a4 Any correct use of brackets acceptable. Question Mark Answer 25 6Nc10 2 7 – 3 × 12 = 48 21 + 4 – 7 ÷ 6 = 3 Award 1 mark for each correct inverse calculation. Accept correct use of brackets.

12 © UCLES 2009 0842/02/O/N/09 Question Mark Answer 26 6Sm6 3 Perimeter 74 (cm) Area 138 (cm 2) For the area if final answer is incorrect award 1 mark for evidence of a correct complete method. For example (9 ×6) + (9 ×6) + (10 ×3) or (6 ×6) + (6 ×6) + (22 ×3) Question Mark Answer 27 6P1 1 2 1 50 × 0 = 10 500 All digits correct for 1 mark.

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14 Permission to reproduce items where third-par ty owned material protected by copyright is included has been sought and cleared w here possible. Every reasonable effort has been made by the publis her (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 opport\ unity. University of Cambridge International Examinations is part of t he Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a depa\ rtment of the University of Cambridge. © UCLES 2009 0842/02/O/N/09 BLANK PAGE

0842/2/CW/S CAMBRIDGE INTERNATIONAL PRIMARY PROGRAMME ACHIEVEMENT TEST – MATHEMATICS PAPER 2 NOVEMBER 2009 0842/02 Please read the instructions printed overleaf before completing this form. Centre Number Centre Name Question Number Total Mark Candidate Number Candidate Name 1 2 3 4a 4b 5 6 7 8 9 10 11 12 13a 13b 14 15a 15b 16 17a 17b 17c 18 19 20 21 22 23 24 25 26 27 max 39 Teacher completing this form (BLOCK CAPITALS) Date Name of moderator (BLOCK CAPITALS) Date

0842/2/CW/S A. INSTRUCTIONS FOR COMPLETING WORKING MARK SHEET 1. Complete the information at the head of the form. 2. List the candidates in an order which will allow ease of transfer of information to a computer-printed mark sheet (MS1) at a later stage (i.e. in candidate index number order, where this is known). 3. Enter each candidate’s mar ks on this form as follows: a) In the question columns, enter the marks awarded. b) In the columns headed ‘Total Mark ’, enter the total mark awarded. 4. Ensure that the addition of marks is independently checked. 5. Both the teacher completing this form and the internal moderator should check the form and complete the bottom portion. B. PROCEDURES FOR EXTERNAL MODERATION 1. University of Cambridge International Examinations (CIE) sends a compu ter-printed mark sheet (MS1) to each centre showing th e name and index number of each candidate. Transfer the total internally moderated mark for e ach candidate from this WORKING MA RK SHEET to the computer-printed mark sheet (MS1). 2. Despatch the top copy of the co mputer-printed mark sheet (MS1) to CIE. The deadlines for receipt of this completed document are 15 June for the June examination and 16 November for the November examination. 3. Send samples of the candidates’ work c overing the full ability range, together wit h this form and the second copy of MS1, by 15 June for the June examination and 16 November for the November examination. 4. If there are 10 or fewer candidates entering the Achi evement Test, send all the sc ripts for every candidate. 5. If there are more than 10 candidates, sen d the scripts that contributed to the fina l mark for the number of candidates as fo llows. The marks of the candidates’ work selected should cover the whole mark range with marks spaced as evenly as possible from the top mark to the lowest mark. number of candidates entered number of candidates whose work is required 11-50 51-100 above 100 10 15 20 6. If different teachers have prepared classes, select the samples from the classes of different teachers. 7. CIE reserves the right to ask for further samples of scripts.