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National curriculum assessments 2008 Ma Mathematics tests Mark schemes Test A, Test B and Mental mathematics KEY STAGE 2 LEVELS 3–5 MarkScheme.indd 1MarkScheme.indd 1 16/11/2007 10:42:1316/11/2007 10:42:13First published 2008 © Qualifi cations and Curriculum Authority 2008 ISBN 1-84721-508-4 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the Copyright Licensing Agency. Excerpts may be reproduced for the purpose of research, private study, criticism or review, or by educational institutions solely for educational purposes, without permission, providing full acknowledgement is given. Produced in Great Britain by the Qualifi cations and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Offi ce and Queen’s Printer of Acts of Parliament. The Qualifi cations and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993. Qualifi cations and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk QCA wishes to make its publications widely accessible. Please contact us if you have any specifi c accessibility requirements. MarkScheme.indd 2MarkScheme.indd 2 16/11/2007 10:42:1416/11/2007 10:42:14
1 Marking the mathematics tests As in 2007, external markers, employed by the external marking agencies under contract to QCA, will mark the test papers. The markers will follow the mark schemes in this booklet, which is supplied to teachers for information. This booklet contains the mark schemes for the levels 3–5 tests A, B and mental mathematics. Level threshold tables will be available on the NAA website (www.naa.org.uk/tests) on 23 June 2008. General guidance The structure of the mark schemes The marking information for each question is set out in the form of tables, which start on page 6 of this booklet. The ‘question’ column on the left-hand side of each table provides a quick reference to the question number and the question part. The ‘mark’ column indicates the total number of marks available for each question part. On some occasions the symbol U1 may be shown in the mark column. The ‘U’ indicates that there is a Using and applying mathematics element in the question. The number, 1, shows the number of marks attributed to using and applying mathematics in this question. The ‘requirement’ column may include two types of information: a statement of the requirements for the award of each mark, with an indication of whether credit can be given for correct working examples of some different types of correct response. The ‘additional guidance’ column indicates alternative acceptable responses, and provides details of specifi c types of response which are unacceptable. Other guidance, such as the range of acceptable answers, is provided as necessary. Additionally, for the mental mathematics test, general guidance on marking is given on page 19, together with a ‘quick reference’ mark scheme. Applying the mark schemes In order to ensure consistency of marking, the most frequent procedural queries are listed on pages 2 and 3 with the action the marker will take. This is followed by further guidance on pages 4 and 5 relating to the marking of questions that involve money, time and other measures. Unless otherwise specifi ed in the mark scheme, markers will apply the following guidelines in all cases. MarkScheme.indd 01MarkScheme.indd 01 16/11/2007 10:42:1416/11/2007 10:42:14
2 What if ... Marking procedure The pupil’s response is numerically or algebraically equivalent to the answer in the mark scheme.Markers will award the mark unless the mark scheme states otherwise. The pupil’s response does not match closely any of the examples given.Markers will use their judgement in deciding whether the response corresponds with the statement of the requirements given in the ‘requirement’ column. Reference will also be made to the additional guidance and, if there is still uncertainty, markers will contact the supervising marker. The pupil has responded in a non-standard way.Calculations, formulae and written responses do not have to be set out in any particular format. Pupils may provide evidence in any form as long as its meaning can be understood. Diagrams, symbols or words are acceptable for explanations or for indicating a response. Any correct method of setting out working, however idiosyncratic, will be accepted. There appears to be a misreading affecting the working.This is when the pupil misreads the information given in the question and uses different information without altering the original intention or diffi culty level of the question. For each misread that occurs, one mark only will be deducted. In one-mark questions – 0 marks are awarded. In two-mark questions that have a method mark – 1 mark will be awarded if the correct method is correctly implemented with the misread number. No answer is given in the expected place, but the correct answer is given elsewhere.Where a pupil has shown understanding of the question, the mark(s) will be given. In particular, where a word or number response is expected, a pupil may meet the requirement by annotating a graph or labelling a diagram elsewhere in the question. The response in the answer box is wrong, but the correct answer is shown in the working.Where appropriate, detailed guidance will be given in the mark scheme, which markers will follow. If no guidance is given, markers will examine each case to decide whether: the incorrect answer is due to a transcription error the pupil has continued to give redundant extra working which does not contradict work already done the pupil has continued to give redundant extra working which does contradict work already done.If so, the mark will be awarded. If so, the mark will be awarded. If so, the mark will not be awarded. MarkScheme.indd 02MarkScheme.indd 02 16/11/2007 10:42:1416/11/2007 10:42:14
3 What if ... Marking procedure The pupil’s answer is correct but the wrong working is shown.A correct response will always be marked as correct. The correct response has been crossed out and not replaced.Any legible crossed-out work that has not been replaced will be marked according to the mark scheme. If the work is replaced, then crossed-out work will not be considered. More than one answer is given.If all answers are correct (or a range of answers is given, all of which are correct), the mark will be awarded unless prohibited by the mark scheme. If both correct and incorrect responses are given, no mark will be awarded. The answer is correct but, in a later part of the question, the pupil has contradicted this response.A mark given for one part will not be disallowed for working or answers given in a different part, unless the mark scheme specifi cally states otherwise. The pupil has drawn lines which do not meet at the correct point.Markers will interpret the phrase ‘slight inaccuracies in drawing’ to mean ‘within or on a circle of radius 2mm with centre at the correct point’. within the circle acceptedon the circle acceptedoutside the circle not accepted Recording marks awarded on the test paper All questions, even those not attempted by the pupil, will be marked with a ‘1’ or ‘0’ entered in each marking space. A two-mark question which is correct will have ‘1’ entered in both marking spaces. A two-mark question which is incorrect, but which has suffi cient evidence of working or method as required by the mark scheme, will have ‘1’ entered in the fi rst marking space and ‘0’ in the second. Otherwise ‘0’ will be entered in both marking spaces. For the written tests, the total number of marks gained on each double page will be written in the space at the bottom of the right-hand page. For all of the tests, the total number of marks gained on each paper will be recorded on the front of the test paper. Test A carries a total of 40 marks. Test B also carries a total of 40 marks. The mental mathematics test carries a total of 20 marks. The 2008 key stage 2 mathematics tests and mark schemes were developed by the Test Development Team at Edexcel on behalf of QCA. MarkScheme.indd 03MarkScheme.indd 03 16/11/2007 10:42:1416/11/2007 10:42:14
4 Marking specifi c types of question – summary of additional guidance Responses involving money Question Accept Do not accept Where the £ sign is given for example: £3.20, £7 £ £3.20 £7 £7.00 Any unambiguous indication of the correct amount, eg £3.20p £3 20 pence £3 20 £3,20 £3−20 £3:20Incorrect placement of pounds or pence, eg £320 £320p Incorrect placement of decimal point, or incorrect use or omission of 0, eg £3.2 £3 200 £32 0 £3−2−0 Where the p sign is given for example: 40p p 40p Any unambiguous indication of the correct amount, eg £0.40pIncorrect or ambiguous use of pounds or pence, eg 0.40p £40p Where no sign is given for example: £3.20, 40p £3.20 40p 320p £0.40 Any unambiguous indication of the correct amount, eg £3.20p £0.40p £3 20 pence £.40p £3 20 £.40 £3,20 40 £3−20 0.40 £3:20 3.20 320 3 pounds 20Incorrect or ambiguous use of pounds or pence, eg £320 £40 £320p £40p £3.2 0.4 3.20p 0.40p MarkScheme.indd 04MarkScheme.indd 04 16/11/2007 10:42:1516/11/2007 10:42:15
5 Responses involving time Question Accept Do not accept A time interval for example: 2 hours 30 minutes2 hours 30 minutes Any unambiguous, correct indication, eg 2 1 2 hours 2.5 hours 2h 30 2h 30 min 2 30 150 minutes 150 Digital electronic time, ie 2:30Incorrect or ambiguous time interval, eg 2.30 2−30 2,30 230 2.3 2.3 hours 2.3h 2h 3 2.30 min A specifi c time for example: 8:40am, 17:208:40am 8:40 twenty to nine Any unambiguous, correct indication, eg 08.40 8.40 0840 8 40 8−40 8,40 Unambiguous change to 12 or 24 hour clock, eg 17:20 as 5:20pm or 17:20pmIncorrect time, eg 8.4am 8.40pm Incorrect placement of separators, spaces, etc or incorrect use or omission of 0, eg 840 8:4:0 8.4 084 84 Responses involving measures Question Accept Do not accept Where units are given (eg kg, m, l) for example: 8.6kg kg 8.6kg Any unambiguous indication of the correct measurement, eg 8.60kg 8.6000kg 8kg 600gIncorrect or ambiguous use of units, eg 8600kg Note If a pupil leaves the answer box empty but writes the answer elsewhere on the page, then that answer must be consistent with the units given in the answer box and the conditions listed above. If a pupil changes the unit given in the answer box, then their answer must be equivalent to the correct answer using the unit they have chosen, unless otherwise indicated in the mark scheme. MarkScheme.indd 05MarkScheme.indd 05 16/11/2007 10:42:1516/11/2007 10:42:15
6 Test A questions 1– 4 Question Requirement Mark Additional guidance 1Times written in correct order as shown: 20 sec 1 min 100 sec 5 min 1m Do not accept times written in reverse order. Accept answers with missing or incorrect units. 2Two lines drawn as shown: 30 32 44 49 6 × 5 half of 98 double 4 × 4 1m Do not award the mark if additional incorrect lines are drawn. Lines need not touch the boxes or numbers, provided the intention is clear. 34211m 4Diagram completed as shown: mirror line 1mAccept slight inaccuracies in drawing (see page 3 for guidance). Shape need not be shaded. MarkScheme.indd 06MarkScheme.indd 06 16/11/2007 10:42:1516/11/2007 10:42:15
7 Test A questions 5–9 Question Requirement Mark Additional guidance 5a 5b 5c£50 £275 £9001m 1m 1m 6a 6b650 in fi rst box. 1025 in second box.1m 1m 7An explanation which recognises that a quadrilateral must have particular properties to be a square, eg: ‘It can only be a square if all the angles are right angles’ ‘It can only be a square if all the sides are equal’ OR an explanation (or diagram) which recognises that there are quadrilaterals other than squares, eg: ‘It could be a rectangle’ ‘A rhombus has four sides’ ‘It could be a kite or a trapezium or a parallelogram’ ‘It could be an oblong’ ‘The sides could be unequal’ ‘The angles might be different’ 1m U1 No mark is awarded for circling ‘No’ alone. Do not accept vague or incomplete explanations, eg: ‘It might not be a square’ ‘Not all four-sided shapes are squares’ ‘A four-sided shape is a quadrilateral’ ‘It could be a diamond’. If ‘Yes’ is circled but a correct, unambiguous explanation is given, then award the mark. 8a 8b 8c32 11 401m 1m 1m 9a 9b19 81m 1m U1 MarkScheme.indd 07MarkScheme.indd 07 16/11/2007 10:42:1616/11/2007 10:42:16
8 Test A questions 10–17 Question Requirement Mark Additional guidance 10a 10b 71 72 73 74 75 76 77 78 79 80 81 82 83 8485 86 87 88 89 90 91 92 93 94 95 96 97 98 99 1 00 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 9798 99 1 00 1m 1mDo not award the mark if more than one number is circled. Accept alternative unambiguous indications, eg numbers ticked, crossed or underlined. 11a 11bAward TWO marks for the correct answer of £7.55 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: 7.95 + 4.50 = 12.45 20 – 12.45 = wrong answer OR 20 – 7.95 – 4.50 = wrong answer £22.40Up to 2m 1mAccept for ONE mark £755 OR £755p as evidence of appropriate working. Working must be carried through to reach an answer for the award of ONE mark. 12D AND E1m U1 Letters may be written in either order. Accept A AND A. Accept C AND C. 13521m 1419.421m 15a 15b1 hour 25 minutes 12:10 pm1m 1mThe answer is a time interval (see page 5 for guidance). The answer is a specifi c time (see page 5 for guidance). 16271.81m 1741m U1 MarkScheme.indd 08MarkScheme.indd 08 16/11/2007 10:42:1616/11/2007 10:42:16
9 Test A questions 18–21 Question Requirement Mark Additional guidance 18a 18b5 2701m 1mAccept any answer that is 270 greater than a multiple of 360 If the answer for 18a is 7 AND the answer for 18b is 90, award ONE mark only for 18b. 19a 19b 1 3 1 9 1m 1m U1 Accept equivalent fractions or decimals. Accept equivalent fractions or decimals. 20a 20b 20c25 000 1996 OR 1997 OR 1998 1963 OR 19641m 1m 1mAccept answers in the range 24 500 to 25 500 inclusive. 21Award TWO marks for the correct answer of 80 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: 60 ÷ 3 × 4 = wrong answer OR 40 + 20 = 60 40 × 2 = wrong answer OR a ‘trial and improvement’ method, eg ( 1 2 × 60) + ( 1 4 × 60) = 45 ( 1 2 × 120) + ( 1 4 × 120) = 90 ( 1 2 × 100) + ( 1 4 × 100) = 75 OR 1 2x + 1 4x = 60 3 4x = 60 x = wrong answerUp to 2m U1 Working must be carried through to reach an answer for the award of ONE mark. A ‘trial and improvement’ method must show evidence of improvement, but a fi nal answer need not be reached for the award of ONE mark. MarkScheme.indd 09MarkScheme.indd 09 16/11/2007 10:42:1716/11/2007 10:42:17
10 Test A questions 22–24 Question Requirement Mark Additional guidance 222501m Do not accept 1 4 litre. 23‘No’ is circled AND one of the following: an explanation which recognises that 777 is not one more than a multiple of 7, eg: ‘All the numbers are one more than a multiple of 7’ ‘There are no multiples of 7 in the sequence’ ‘778 is in the sequence’ ‘771 works but 777 doesn’t’ OR an explanation which recognises that 777 is a multiple of 7, eg: ‘777 is a multiple of 7’ ‘777 ÷ 7 = 111’ OR an explanation which relies solely on the start of the sequence, eg: ‘The sequence started at 1’ ‘The sequence doesn’t start at 0’.1m U1 ‘No’ must be indicated for the award of the mark, unless a complete and correct explanation is given, eg: ‘777 is a multiple of 7, and the numbers in the sequence aren’t’. No mark is awarded for circling ‘No’ alone. Do not accept vague or incomplete explanations, eg: ‘It’s adding 7 every time‘ ‘There are no 7s in the sequence‘. 24Award TWO marks for the correct answer of 150 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: 15 + 25 = 40 100 – 40 = 60 10% of 250 = 25 25 × 6 = wrong answer OR 100% – 40% = 60% 60% of 250 = wrong answer OR 15% of 250 = 37 1 2 25% of 250 = 62 1 2 250 – 37 1 2 – 62 1 2 = wrong answerUp to 2m Working must be carried through to reach an answer for the award of ONE mark. MarkScheme.indd 010MarkScheme.indd 010 16/11/2007 10:42:1716/11/2007 10:42:17
11 Test B questions 1–2 Question Requirement Mark Additional guidance 1Award TWO marks for the four lines drawn as shown: 357 199 73 1000 224201 to 300 401 to 500 g r eate r 301 to 400 than 500 1 to 100 101 to 200 If the answer is incorrect, award ONE mark for three correct lines drawn AND not more than one incorrect line drawn.Up to 2mDo not award any marks if two or more incorrect lines are drawn. Lines need not touch the boxes provided the intention is clear. 2One shape crossed as shown: has 3 sides has a right angle 1m Do not award the mark if additional incorrect shapes are indicated. Accept alternative unambiguous indications of the correct shape, eg shape ticked or circled. MarkScheme.indd 011MarkScheme.indd 011 16/11/2007 10:42:1716/11/2007 10:42:17
12 Test B questions 3–4 Question Requirement Mark Additional guidance 3a 3b 9:20 3:40 4:40 8:40 8:20 4:20 12 63 9 12 63 9 First clock joined to 8:20 Second clock joined to 3:401m 1mDo not award the mark if additional incorrect lines are drawn. Lines need not touch the clocks or times, provided the intention is clear. 4Award TWO marks for the correct answer of £2.91 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: 39p × 3 = £1.17 29p × 6 = £1.74 £1.17 + £1.74 OR 40p × 3 = £1.20 30p × 6 = £1.80 £1.20 + £1.80 – 9pUp to 2m Accept for ONE mark £291 OR £291p as evidence of appropriate method. Answer need not be obtained for the award of ONE mark. MarkScheme.indd 012MarkScheme.indd 012 16/11/2007 10:42:1816/11/2007 10:42:18
13 Test B questions 5–8 Question Requirement Mark Additional guidance 5Nets ticked and crossed as shown: 1mAccept alternative unambiguous indications of the correct nets, eg nets circled or crossed out. Accept: 6a 6b30 Three times circled as shown: 10 am 11 am 12 noon 1 pm2 pm3 pm 4 pm 1m 1m Do not award the mark if additional incorrect times are circled. Accept alternative unambiguous indications, eg times ticked, crossed or underlined. 7a 7b£3.05 £3.501m 1m Do not accept £3.5 8An explanation which recognises that half of an even number is sometimes an even number, eg: ‘Every alternate even number gives an even number when halved’ ‘Two even numbers make an even number’ ‘Half of a multiple of 4 will always be even’ ‘Sometimes you get an even number’ OR a counter−example demonstrating that half of an even number can be an even number, eg: ‘Half of 8 is 4’ ‘4 ÷ 2 = 2’ ‘Double 10 is 20’ ‘Half 12 is 6 but half 6 is 3’.1m U1 No mark is awarded for circling ‘No’ alone. Do not accept vague or incomplete explanations, eg: ‘It doesn’t always work’ ‘It’s always even’ ‘Half of 6 is 3’ ‘Two odds make an even’. If ‘Yes’ is circled but a correct unambiguous explanation is given, then award the mark. MarkScheme.indd 013MarkScheme.indd 013 16/11/2007 10:42:1816/11/2007 10:42:18
14 Test B questions 9–11 Question Requirement Mark Additional guidance 9Diagram completed as shown: evenmultiples of 9 not evennot multiples of 9 72 5456 84 63 4549 75 1mAccept recognisable misspellings. Accept ‘odd’ for ‘not even’. Accept alternative unambiguous indications, eg lines drawn from the labels to the appropriate parts of the diagram. 10Any two squares shaded, eg 1mAccept part shapes shaded provided the intention is clear. Accept inaccuracies in shading provided the intention is clear. 11Diagram completed as shown: 1mAccept inaccuracies in shading provided the intention is clear. MarkScheme.indd 014MarkScheme.indd 014 16/11/2007 10:42:1916/11/2007 10:42:19
15 Test B questions 12–14 Question Requirement Mark Additional guidance 12Award TWO marks for cards completed as shown: 6 8 > 5 3 1 0 < 2 4 9 > 7 OR 6 8 > 5 4 1 0 < 2 3 9 > 7 If the answer is incorrect, award ONE mark for any two inequalities completed correctly AND no digit repeated within the two correct inequalities.Up to 2m U1 Do not accept any digit used more than once. 13Diagram completed correctly as shown: OR 1mAccept alternative unambiguous indications, eg squares shaded, ticked or crossed. 14Award TWO marks for the correct answer of 76 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg 44 × 2 = 88 88 – 12Up to 2m Answer need not be obtained for the award of ONE mark. MarkScheme.indd 015MarkScheme.indd 015 16/11/2007 10:42:2016/11/2007 10:42:20
16 Test B questions 15–19 Question Requirement Mark Additional guidance 15a 15b7 121m 1m 16Award TWO marks for the correct answer of £33.75 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Ben: £15 Nisha: £15 – £7 = £8 Emily: £8 + £2.75 = £10.75 £15 + £8 + £10.75 OR 15 + (15 – 7) + (15 – 7 + 2.75)Up to 2m U1 Accept for ONE mark £3375 OR £3375p as evidence of appropriate method. Answer need not be obtained for the award of ONE mark. 17a 17bAnswer in the range 1.85 to 1.95 exclusive. 1.81m 1m 18Award TWO marks for the correct answer of 13 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg 500 ÷ 15 = 33 500 ÷ 25 = 20 33 – 20 Up to 2m Award ONE mark for an answer of 13 1 3 OR 13. ˙3 OR 13.3 OR 13.33, etc. Award ONE mark for sight of 20 AND 33 with no evidence of an incorrect method. Answer need not be obtained for the award of ONE mark. 1958.9061mAccept 58.9 OR 58.91 Do not accept 59 Do not accept –58.906 MarkScheme.indd 016MarkScheme.indd 016 16/11/2007 10:42:2016/11/2007 10:42:20
17 Test B questions 20–21 Question Requirement Mark Additional guidance 20Award TWO marks for boxes ticked and crossed as shown: If the answer is incorrect, award ONE mark for any three boxes correctly completed.Up to 2mAccept alternative unambiguous indications such as Y or N. For TWO marks accept: 21a 21bTwo vertices joined as shown: A B OR A B A B OR A B OR A B 1m 1mAccept slight inaccuracies in drawing, provided the intention is clear. Accept two lines if both are correct. Accept slight inaccuracies in drawing, provided the intention is clear. Accept more than one line if all are correct. Accept a line perpendicular to AB, drawn from one vertex, which meets or crosses AB, eg A B MarkScheme.indd 017MarkScheme.indd 017 16/11/2007 10:42:2016/11/2007 10:42:20
18 Test B questions 22–24 Question Requirement Mark Additional guidance 22Award TWO marks for the correct answer of 8010 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: 8000 ÷ 45 = wrong number then wrong number rounded to the nearest whole number OR a ‘trial and improvement’ method, eg 150 × 45 = 6750 200 × 45 = 9000 175 × 45 = 7875Up to 2m U1 Accept 178 for TWO marks. Accept for ONE mark 7965 OR 177 as evidence of appropriate method. A ‘trial and improvement’ method must show evidence of improvement. Answer need not be obtained for the award of ONE mark. 23a 23b33 161m 1m U1 Accept 3 × 11 Accept 19 – 3 24Award TWO marks for the correct answer of 54 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: 72 ÷ 4 = 18 18 ÷ 2 = 9 (18 × 2) + (9 × 2) OR 72 ÷ 4 × 3 Up to 2m U1 Answer need not be obtained for the award of ONE mark. MarkScheme.indd 018MarkScheme.indd 018 16/11/2007 10:42:2216/11/2007 10:42:22
19 Mark scheme for the mental mathematics test Applying the mark scheme Please note that pupils will not be penalised if they record any information given in the question or show their working. Markers will ignore any annotation, even if in the answer space, and mark only the answer. Markers will accept an unambiguous answer written in the stimulus box, or elsewhere on the page. Full mark scheme information is given on page 21. In addition, a ‘quick reference’ mark scheme is provided on page 20. This is presented in a similar format to the pupil’s answer sheet. General guidance The general guidance for marking the written tests also applies to marking the mental mathematics test. In addition, the following principles apply. 1. Unless stated otherwise in the mark scheme, accept answers written in words, or a combination of words and fi gures. 2. Where units are specifi ed, they are given on the answer sheet. Pupils are not penalised for writing in the units again. 3. Where answers are required to be ringed, do not accept if more than one answer is ringed, unless it is clear which is the pupil’s intended answer. Accept also any other way of indicating the correct answer, eg underlining. MarkScheme.indd 019MarkScheme.indd 019 16/11/2007 10:42:2216/11/2007 10:42:22
20 Mental mathematics 2008 quick reference mark scheme Practice question 3 64 Time: 5 seconds 1 10 2 19 5 33 4 30 mm 7 65 Time: 10 seconds 6 600 9 6 am Accept 6 10 16 8 £ 3.98 Time: 15 seconds 16 320 19 0.45 18 1500 20 £ 3.50 17 50 15 50 14 110 cm 2 12 90 13 10.5 Accept equivalent fractions or decimals 11 0.14 0.24 0.34 0.44 0.54 MarkScheme.indd 020MarkScheme.indd 020 16/11/2007 10:42:2216/11/2007 10:42:22
21 Mental mathematics questions 1–20 Question Requirement Mark Additional guidance 1101m 2191m 3641m 430 mm1m 5331m 66001m 7651m 8£3.981m 96am1mAccept 6 10161m 11 0.14 0.24 0.34 0.44 0.54 1mAccept any other way of indicating the answer, eg underlining. Do not accept if more than one answer is indicated unless the pupil’s intention is clear. 12901m 1310.51mAccept equivalent fractions or decimals. 14110 cm 2 1m 15501m 163201m 17501m 1815001m 190.451m 20£3.501m MarkScheme.indd 021MarkScheme.indd 021 16/11/2007 10:42:2216/11/2007 10:42:22
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29 Bolton Street London W1J 8BT Telephone: 08700 60 60 40 Minicom: 020 7509 6546 Fax: 020 7509 5908 Email: tests@naa.org.uk Website: www.naa.org.uk/tests For more copies QCA Orderline, PO Box 29, Norwich NR3 1GN Tel: 08700 60 50 15 Fax: 08700 60 60 17 Email: orderline@qca.org.uk QCA/08/3303 282637 MarkScheme.indd 026MarkScheme.indd 026 16/11/2007 10:42:2316/11/2007 10:42:23