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Ma Mathematics tests KEY STAGE Mark schemes 2 LEVELS 2008 3–5 Test A, Test B and Mental mathematics National curriculum assessments Sourced from SATs-Papers.co.uk MarkScheme.indd 1 http://www.SATs-Papers.co.uk 16/11/2007 10:42:13 QCA wishes to make its publications widely accessible. Please contact us if you have any speciﬁc accessibility requirements. First published 2008 © Qualiﬁcations 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 Qualiﬁcations and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Ofﬁce and Queen’s Printer of Acts of Parliament. The Qualiﬁcations and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993. Qualiﬁcations and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk Sourced from SATs-Papers.co.uk MarkScheme.indd 2 http://www.SATs-Papers.co.uk 16/11/2007 10:42:14 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 speciﬁc 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 speciﬁed in the mark scheme, markers will apply the following guidelines in all cases. Sourced from SATs-Papers.co.uk MarkScheme.indd 01 http://www.SATs-Papers.co.uk 1 16/11/2007 10:42:14 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 difﬁculty 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 MarkScheme.indd 02 Sourced from SATs-Papers.co.uk If so, the mark will be awarded. the pupil has continued to give redundant extra working which does contradict work already done. 2 If so, the mark will be awarded. If so, the mark will not be awarded. http://www.SATs-Papers.co.uk 16/11/2007 10:42:14 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 speciﬁcally 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 accepted on the circle accepted outside 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 sufﬁcient evidence of working or method as required by the mark scheme, will have ‘1’ entered in the ﬁrst 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. Sourced from SATs-Papers.co.uk MarkScheme.indd 03 http://www.SATs-Papers.co.uk 3 16/11/2007 10:42:14 Marking speciﬁc types of question – summary of additional guidance Responses involving money Question Accept Where the £ sign is given £3.20 for example: £3.20, £7 Any unambiguous indication of the correct amount, eg £3.20p £3 20 pence £3 20 £3,20 £3-20 £3:20 £ Where the p sign is given for example: 40p Do not accept £7 £7.00 Incorrect 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 40p Any unambiguous indication of the correct amount, eg £0.40p Incorrect or ambiguous use of pounds or pence, eg 0.40p £40p p Where no sign is given £3.20 320p for example: £3.20, 40p 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 20 4 MarkScheme.indd 04 Sourced from SATs-Papers.co.uk 40p £0.40 Incorrect or ambiguous use of pounds or pence, eg £320 £40 £320p £40p £3.2 0.4 3.20p 0.40p http://www.SATs-Papers.co.uk 16/11/2007 10:42:15 Responses involving time Question Accept A time interval 2 hours 30 minutes for example: 2 hours 30 minutes Do not accept Any unambiguous, correct indication, eg 2 1 hours 2 2.5 hours 2h 30 2h 30 min 2 30 150 minutes 150 Digital electronic time, ie 2:30 A speciﬁc time for example: 8:40am, 17:20 Incorrect or ambiguous time interval, eg 2.30 2-30 2,30 230 2.3 2.3 hours 2.3h 2h 3 2.30 min 8:40am 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 17:20pm Incorrect 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 Where units are given (eg kg, m, l) 8.6kg for example: 8.6kg Do not accept Any unambiguous indication of the correct measurement, eg 8.60kg 8.6000kg 8kg 600g Incorrect or ambiguous use of units, eg 8600kg kg 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. Sourced from SATs-Papers.co.uk MarkScheme.indd 05 http://www.SATs-Papers.co.uk 5 16/11/2007 10:42:15 Test A questions 1–4 Question 1 Requirement 1m Times written in correct order as shown: 20 sec 2 Mark 1 min 100 sec Do not accept times written in reverse order. Accept answers with missing or incorrect units. 5 min Two lines drawn as shown: Additional guidance 1m 30 Do not award the mark if additional incorrect lines are drawn. Lines need not touch the boxes or numbers, provided the intention is clear. 6×5 32 half of 98 44 double 4 × 4 49 3 421 1m 4 Diagram completed as shown: 1m Accept slight inaccuracies in drawing (see page 3 for guidance). Shape need not be shaded. mirror line 6 MarkScheme.indd 06 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:15 Test A questions 5–9 Question Requirement Mark 5a £50 1m 5b £275 1m 5c £900 1m 6a 650 in ﬁrst box. 1m 6b 1025 in second box. 1m An explanation which recognises that a quadrilateral must have particular properties to be a square, eg: 1m Additional guidance 7 U1 ‘It can only be a square if all the angles are right angles’ No mark is awarded for circling ‘No’ alone. Do not accept vague or incomplete explanations, eg: ‘It might not be a square’ ‘It can only be a square if all the sides are equal’ ‘Not all four-sided shapes are squares’ OR ‘A four-sided shape is a quadrilateral’ an explanation (or diagram) which recognises that there are quadrilaterals other than squares, eg: ‘It could be a diamond’. If ‘Yes’ is circled but a correct, unambiguous explanation is given, then award the mark. ‘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’ 8a 32 1m 8b 11 1m 8c 40 1m 9a 19 1m 9b 8 1m U1 Sourced from SATs-Papers.co.uk MarkScheme.indd 07 http://www.SATs-Papers.co.uk 7 16/11/2007 10:42:16 Test A questions 10–17 Question 10a Requirement 71 72 73 74 75 76 77 78 79 80 Mark 1m 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 Do not award the mark if more than one number is circled. Accept alternative unambiguous indications, eg numbers ticked, crossed or underlined. 91 92 93 94 95 96 97 98 99 100 10b Additional guidance 1m 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 11a Award TWO marks for the correct answer of £7.55 Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: Accept 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. 7.95 + 4.50 = 12.45 20 – 12.45 = wrong answer OR 20 – 7.95 – 4.50 = wrong answer 12 £22.40 1m D AND E 1m Letters may be written in either order. U1 11b Accept A AND A. Accept C AND C. 13 52 1m 14 19.42 1m 15a 1 hour 25 minutes 1m The answer is a time interval (see page 5 for guidance). 15b 12:10pm 1m The answer is a speciﬁc time (see page 5 for guidance). 16 271.8 1m 17 4 1m U1 8 MarkScheme.indd 08 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:16 Test A questions 18–21 Question Requirement Mark 18a 5 1m 18b 270 1m Additional guidance Accept 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 1 3 1m Accept equivalent fractions or decimals. 19b 1 9 1m Accept equivalent fractions or decimals. U1 20a 25000 1m 20b 1996 OR 1997 OR 1998 1m 20c 1963 OR 1964 1m 21 Award TWO marks for the correct answer of 80 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: Accept answers in the range 24500 to 25500 inclusive. Up to 2m U1 Working must be carried through to reach an answer for the award of ONE mark. 60 ÷ 3 × 4 = wrong answer OR 40 + 20 = 60 40 × 2 = wrong answer OR a ‘trial and improvement’ method, eg ( 1 × 60) + ( 1 × 60) = 45 2 4 A ‘trial and improvement’ method must show evidence of improvement, but a ﬁnal answer need not be reached for the award of ONE mark. ( 1 × 120) + ( 1 × 120) = 90 2 4 ( 1 × 100) + ( 1 × 100) = 75 2 4 OR 1 x + 1 x = 60 2 4 3 x = 60 4 x = wrong answer Sourced from SATs-Papers.co.uk MarkScheme.indd 09 http://www.SATs-Papers.co.uk 9 16/11/2007 10:42:17 Test A questions 22–24 Question Requirement Mark Additional guidance 22 250 1m Do not accept 1 litre. 4 23 ‘No’ is circled AND one of the following: 1m ‘No’ must be indicated for the award of the mark, unless a complete and correct explanation is given, eg: an explanation which recognises that 777 is not one more than a multiple of 7, eg: U1 ‘777 is a multiple of 7, and the numbers in the sequence aren’t’. ‘All the numbers are one more than a multiple of 7’ No mark is awarded for circling ‘No’ alone. ‘There are no multiples of 7 in the sequence’ Do not accept vague or incomplete explanations, eg: ‘778 is in the sequence’ ‘It’s adding 7 every time‘ ‘771 works but 777 doesn’t’ ‘There are no 7s in the sequence‘. 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’. 24 Award TWO marks for the correct answer of 150 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: Up to 2m Working must be carried through to reach an answer for the award of ONE mark. 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 = 371 2 25% of 250 = 621 2 250 – 371 – 621 = wrong answer 2 2 10 MarkScheme.indd 010 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:17 Test B questions 1–2 Question 1 Requirement Mark Award TWO marks for the four lines drawn as shown: Up to 2m Additional guidance Do not award any marks if two or more incorrect lines are drawn. Lines need not touch the boxes provided the intention is clear. 1 to 100 357 101 to 200 199 201 to 300 73 301 to 400 1000 401 to 500 224 greater than 500 If the answer is incorrect, award ONE mark for three correct lines drawn AND not more than one incorrect line drawn. 2 One shape crossed as shown: has 3 sides Sourced from SATs-Papers.co.uk MarkScheme.indd 011 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. http://www.SATs-Papers.co.uk 11 16/11/2007 10:42:17 Test B questions 3–4 Question Requirement Mark Do not award the mark if additional incorrect lines are drawn. 12 9:20 9 Additional guidance Lines need not touch the clocks or times, provided the intention is clear. 3 3:40 6 4:40 8:40 12 8:20 9 3 4:20 6 3a First clock joined to 8:20 1m 3b Second clock joined to 3:40 1m 4 Award 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 Up 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. 29p × 6 = £1.74 £1.17 + £1.74 OR 40p × 3 = £1.20 30p × 6 = £1.80 £1.20 + £1.80 – 9p 12 MarkScheme.indd 012 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:18 Test B questions 5–8 Question 5 Requirement Mark 1m Nets ticked and crossed as shown: Additional guidance Accept alternative unambiguous indications of the correct nets, eg nets circled or crossed out. Accept: 6a 30 1m 6b Three times circled as shown: 1m 10 am 11 12 am noon 1 pm 2 pm 3 pm 4 pm Do not award the mark if additional incorrect times are circled. Accept alternative unambiguous indications, eg times ticked, crossed or underlined. 7a £3.05 1m 7b £3.50 1m Do not accept £3.5 An explanation which recognises that half of an even number is sometimes an even number, eg: 1m No mark is awarded for circling ‘No’ alone. 8 ‘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 U1 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. 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’. Sourced from SATs-Papers.co.uk MarkScheme.indd 013 http://www.SATs-Papers.co.uk 13 16/11/2007 10:42:18 Test B questions 9–11 Question 9 Requirement Mark multiples of 9 even 72 56 63 Accept recognisable misspellings. Accept ‘odd’ for ‘not even’. not multiples of 9 54 not even Accept alternative unambiguous indications, eg lines drawn from the labels to the appropriate parts of the diagram. 84 49 45 10 1m Diagram completed as shown: Additional guidance Any two squares shaded, eg 75 1m Accept part shapes shaded provided the intention is clear. Accept inaccuracies in shading provided the intention is clear. 11 14 MarkScheme.indd 014 Diagram completed as shown: Sourced from SATs-Papers.co.uk 1m Accept inaccuracies in shading provided the intention is clear. http://www.SATs-Papers.co.uk 16/11/2007 10:42:19 Test B questions 12–14 Question 12 Requirement Mark Award TWO marks for cards completed as shown: 6 8 > 5 3 1 0 < 2 > 8 > 5 4 1 0 < 2 3 9 > U1 7 6 Do not accept any digit used more than once. 4 9 Up to 2m Additional guidance 7 OR If the answer is incorrect, award ONE mark for any two inequalities completed correctly AND no digit repeated within the two correct inequalities. 13 Diagram completed correctly as shown: 1m Accept alternative unambiguous indications, eg squares shaded, ticked or crossed. OR 14 Award TWO marks for the correct answer of 76 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg Up to 2m Answer need not be obtained for the award of ONE mark. 44 × 2 = 88 88 – 12 Sourced from SATs-Papers.co.uk MarkScheme.indd 015 http://www.SATs-Papers.co.uk 15 16/11/2007 10:42:20 Test B questions 15–19 Question Requirement Mark 15a 7 1m 15b 12 Additional guidance 1m 16 Award TWO marks for the correct answer of £33.75 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Up to 2m U1 Ben: £15 Accept for ONE mark £3375 OR £3375p as evidence of appropriate method. Answer need not be obtained for the award of ONE mark. Nisha: £15 – £7 = £8 Emily: £8 + £2.75 = £10.75 £15 + £8 + £10.75 OR 15 + (15 – 7) + (15 – 7 + 2.75) 17a Answer in the range 1.85 to 1.95 exclusive. 1m 17b 1.8 1m 18 Award TWO marks for the correct answer of 13 Up to 2m Award ONE mark for an answer of ˙ 13 1 OR 13.3 OR 13.3 OR 13.33, etc. 3 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg Award ONE mark for sight of 20 AND 33 with no evidence of an incorrect method. 500 ÷ 15 = 33 500 ÷ 25 = 20 Answer need not be obtained for the award of ONE mark. 33 – 20 19 58.906 1m Accept 58.9 OR 58.91 Do not accept 59 Do not accept –58.906 16 MarkScheme.indd 016 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:20 Test B questions 20–21 Question 20 Requirement Award TWO marks for boxes ticked and crossed as shown: Mark Up to 2m Additional guidance Accept alternative unambiguous indications such as Y or N. For TWO marks accept: If the answer is incorrect, award ONE mark for any three boxes correctly completed. 21a Two vertices joined as shown: 1m Accept slight inaccuracies in drawing, provided the intention is clear. Accept two lines if both are correct. A B OR A B 21b 1m A B 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 OR A B A B OR A B Sourced from SATs-Papers.co.uk MarkScheme.indd 017 http://www.SATs-Papers.co.uk 17 16/11/2007 10:42:20 Test B questions 22–24 Question 22 Requirement Award TWO marks for the correct answer of 8010 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Mark Up to 2m U1 Additional guidance Accept 178 for TWO marks. Accept for ONE mark 7965 OR 177 as evidence of appropriate method. 8000 ÷ 45 = wrong number then wrong number rounded to the nearest whole number OR a ‘trial and improvement’ method, eg A ‘trial and improvement’ method must show evidence of improvement. 150 × 45 = 6750 Answer need not be obtained for the award of ONE mark. 200 × 45 = 9000 175 × 45 = 7875 23a 33 1m Accept 3 × 11 23b 16 1m Accept 19 – 3 U1 24 Award TWO marks for the correct answer of 54 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Up to 2m U1 Answer need not be obtained for the award of ONE mark. 72 ÷ 4 = 18 18 ÷ 2 = 9 (18 × 2) + (9 × 2) OR 72 ÷ 4 × 3 18 MarkScheme.indd 018 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16/11/2007 10:42:22 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 ﬁgures. 2. Where units are speciﬁed, 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. Sourced from SATs-Papers.co.uk MarkScheme.indd 019 http://www.SATs-Papers.co.uk 19 16/11/2007 10:42:22 Mental mathematics 2008 quick reference mark scheme Practice question 11 0.44 Time: 5 seconds 1 10 2 19 3 64 4 30 mm 5 0.24 0.14 0.34 0.54 33 12 90 13 10.5 14 110 cm2 50 15 Time: 10 seconds Accept equivalent fractions or decimals Time: 15 seconds 6 600 16 320 7 65 17 50 3.98 18 1500 19 0.45 8 £ 9 6 am 10 16 20 MarkScheme.indd 020 Sourced from SATs-Papers.co.uk Accept 6 20 £ 3.50 http://www.SATs-Papers.co.uk 16/11/2007 10:42:22 Mental mathematics questions 1–20 Question Requirement Mark 1 10 1m 2 19 1m 3 64 1m 4 30mm 1m 5 33 1m 6 600 1m 7 65 1m 8 £3.98 1m 9 6am 1m 10 16 1m 11 0.14 0.34 0.24 0.44 1m Accept 6 Accept 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. 0.54 12 90 1m 13 10.5 1m 14 110cm2 1m 15 50 1m 16 320 1m 17 50 1m 18 1500 1m 19 0.45 1m 20 £3.50 1m Sourced from SATs-Papers.co.uk MarkScheme.indd 021 Additional guidance Accept equivalent fractions or decimals. http://www.SATs-Papers.co.uk 21 16/11/2007 10:42:22 Sourced from SATs-Papers.co.uk MarkScheme.indd 022 http://www.SATs-Papers.co.uk 16/11/2007 10:42:23 Sourced from SATs-Papers.co.uk MarkScheme.indd 023 http://www.SATs-Papers.co.uk 16/11/2007 10:42:23 Sourced from SATs-Papers.co.uk MarkScheme.indd 024 http://www.SATs-Papers.co.uk 16/11/2007 10:42:23 Sourced from SATs-Papers.co.uk MarkScheme.indd 025 http://www.SATs-Papers.co.uk 16/11/2007 10:42:23 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 Sourced from SATs-Papers.co.uk MarkScheme.indd 026 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 http://www.SATs-Papers.co.uk282637 16/11/2007 10:42:23