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This document consists of 11 printed pages and 1 blank page. 11_0842_02/MS © UCLES 2008 [Turn over *1013018733* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Primary Achievement Test MATHEMATICS 0842/02 Paper 2 October/November 2008 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 2008 0842/02/MS/O/N/08 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 2008 0842/02/MS/O/N/08 [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. 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 students, e.g. 0,638

4 © UCLES 2008 0842/02/MS/O/N/08 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 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 2008 0842/02/MS/O/N/08 [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; 150 324 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 2008 0842/02/MS/O/N/08 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 2008 0842/02/MS/O/N/08 [Turn over Question Mark Answer 1 2Nn10 1 89 Question Mark Answer 2 2Nc21 1 ($)90 Question Mark Answer 3 2P5 2 2 (hours) 30 (minutes) 2 marks for correct answer. Award 1 mark if 150 minutes is shown in working out. Also award 1 mark if the hours and minutes are correct based on the wrong number of minutes, e.g. 100 minutes worked out, with 1 hours 40 minutes. Question Mark Answer 4a 2D1 1 7 b 2D1 1 4 Question Mark Answer 5 2Ss1 1 Cuboid Accept square prism or rectangular prism. Question Mark Answer 6 2Sm2 1 Accept 145 (cm). Question Mark Answer 7a 4D5 1 23 b 4D5 1 9

8 © UCLES 2008 0842/02/MS/O/N/08 Question Mark Answer 8a 4Nn16 1 1006 accept ‘hundredths’ (spelling not important) or equivalent b 5Nn20 1 106 or equivalent Question Mark Answer 9a 4Nn12 1 4 b 4Nn12 1 2 Question Mark Answer 10 4Nc7 1 13 Question Mark Answer 11a 5P1 1 12.23 pm Accept 12.23pm Also accept 12:23 or 12.23 b 5P1 1 29 minutes Question Mark Answer 12 4Ss1 1 (Regular) hexagon Accept reasonable misspellings. hexagon or regular hexagon Question Mark Answer 13 4Sp7 1 360° Accept 360 Question Mark Answer 14a 4Sm7 1 11:23 Accept 11.23, 23:23 or 23.23 Do not accept any words in the answer. Except am or pm. b 4Sm7 1 02:50 or 14:50 Also accept 2:50.

9 © UCLES 2008 0842/02/MS/O/N/08 [Turn over Question Mark Answer 15 5P2 1 Any three numbers which correctly total 1. For example, 0.2 + 0.3 + 0.5 Accept fractions, decimals and negative integers All three numbers must be different. Question Mark Answer 16a 5Sp2 1 Either A and C or B and D. Accept C and A or D and B b 5Sp2 1 Any one of: A and B B and A B and C C and B C and D D and C D and A A and D Question Mark Answer 17a 5Sm4 1 g or kg Award mark if both circled. Accept any reasonable indication of a correct answer. b 5Sm4 1 200 mm Accept any reasonable indication of a correct answer. Question Mark Answer 18a 6Nc6 1 40 b 6Nc4 1 3 Do not accept “2 remainder 2”, or “2” Question Mark Answer 19 6D4 1 2.81 (seconds)

10 © UCLES 2008 0842/02/MS/O/N/08 Question Mark Answer 20a 5Nn14 1 4 19 b 5Nn14 1 20 15 20 12 24 15 15 10 28 20 Any indicator of the correct answer will do Question Mark Answer 21 6Nn13 2 ($)12 and ($)16 1 mark for each correct answer Question Mark Answer 22 5P3 2 Byama is correct Accept explanations such as: 2 1 = 10 5 = 0.5 0.5 is five tenths which simplifies to ½ Diagrams which show the 2 quantities are equivalent. 1 mark 1 mark Question Mark Answer Four equal sides. Four right angles. One pair of opposite parallel sides. 23 6Ss1 2 Rhombus Rectangle Trapezium 2 marks for all three correct answers. 1 mark for correct answer. Question Mark Answer 24a 6Nn8 1 1234567 8 9 1011 12131415 16 17 18 19 20 All eight should be circled with no errors.

11 © UCLES 2008 0842/02/MS/O/N/08 Question Mark Answer 25 6Nc2 1 5 x ( 3 + 7 ) - 20 = 30

12 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 t race 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 the 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. 0842/02/MS/O/N/08 BLANK PAGE