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Ma Mathematics tests KEY STAGE Mark schemes 2 LEVELS 2011 3–5 Test A, Test B and mental mathematics National curriculum assessments Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk QCDA wishes to make its publications widely accessible. Please contact us if you have any specific accessibility requirements. First published 2011 © Qualifications and Curriculum Development Agency 2011 ISBN 978-1-84962-791-7 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, provided full acknowledgement is given. Printed in Great Britain by QCDA under the authority and superintendence of the Controller of Her Majesty’s Stationery Office and Queen’s Printer of Acts of Parliament. Qualifications and Curriculum Development Agency 53-55 Butts Road Earlsdon Park Coventry CV1 3BH www.qcda.gov.uk Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Marking the mathematics tests As in 2010, external markers, employed by the external marking agencies under contract to QCDA, 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 from the Pupil results section of the QCDA website at www.qcda.gov.uk/tests from Tuesday 5 July 2011. 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 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: statement of the requirements for the award of each mark, with an indication of a 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 18, followed by the marking information for each question. Applying the mark schemes In order to ensure consistency of marking, the most frequent procedural queries are listed on pages 2 and 3 along 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 http://www.SATs-Papers.co.uk 1 2011 KS2 Mathematics tests mark schemes General guidance 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 pupil’s answer is correct but the wrong working is shown. A correct response will always be marked as correct. 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: he incorrect answer is due to a t transcription error he pupil has continued to give redundant t extra working which does not contradict work already done If so, the mark will be awarded. he pupil has continued to give redundant t extra working which does contradict work already done. 2 If so, the mark will be awarded. If so, the mark will not be awarded. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes General guidance What if… Marking procedure 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 In the margin there is a marking space alongside each question part. For the mental mathematics test, the external marker will record ‘1’ for a correct response or ‘0’ otherwise. For the written tests, the external marker will record one of the following in each marking space: ‘1’ for a correct response ‘0’ for an incorrect response ‘−‘ if no response is made. 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, unless no response is made in which case ‘−’ 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 2011 key stage 2 mathematics tests and mark schemes were developed by the Test Development Team at Pearson Research and Assessment on behalf of QCDA. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 2011 KS2 Mathematics tests mark schemes General guidance Marking specific types of question – summary of additional guidance Responses involving money Accept Do not accept Where the £ sign is given £3.20 £7 £7.00 for example: Any unambiguous indication of the correct amount, eg Incorrect placement of pounds or pence, eg £3.20, £7 £3.20p £320 £3 20 pence £320p £3 20 £3,20 Incorrect placement of decimal point, or incorrect use or omission of 0, eg £3-20 £3.2 £3:20 £3 200 £ £32 0 £3-2-0 Where the p sign is given 40p Any unambiguous indication of the correct amount, eg Incorrect or ambiguous use of pounds or pence, eg for example: £0.40p 0.40p 40p £40p p Where no sign is given 320p for example: Any unambiguous indication of the correct amount, eg Incorrect or ambiguous use of pounds or pence, eg £3.20, 40p £3.20p £0.40p £320 £40 £3 20 pence £.40p £320p £40p £3 20 £.40 £3.2 0.4 £3,20 40 3.20p 0.40p £3-20 0.40 £3.20 40p £0.40 £3:20 3.20 320 3 pounds 20 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes General guidance Responses involving time Accept Do not accept A time interval 2 hours 30 minutes Any unambiguous, correct indication, eg Incorrect or ambiguous time interval, eg for example: 1 22 hours 2.30 2.5 hours 2-30 2h 30 2,30 2h 30 min 230 2 30 2.3 150 minutes 2.3 hours 150 2.3h 2 hours 30 minutes Digital electronic time, ie 2:30 2h 3 2.30 min A specific time 8:40am for example: twenty to nine 8:40am, 17:20 Any unambiguous, correct indication, eg Incorrect time, eg 08.40 8.4am 8.40 8.40pm 0840 8 40 Incorrect placement of separators, spaces, etc or incorrect use or omission of 0, eg 8-40 840 8,40 8:4:0 Unambiguous change to 12 or 24 hour clock, eg 8.4 17:20 as 5:20pm or 17:20pm 084 8:40 Responses involving measures Accept Where units are given (eg kg, m, l) 8.6kg for example: 8.60kg 8.6kg Do not accept 8.6000kg kg Any unambiguous indication of the correct measurement, eg Incorrect or ambiguous use of units, eg 8600kg 8kg 600g 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 http://www.SATs-Papers.co.uk 5 2011 KS2 Mathematics tests mark schemes Test A questions 1–8 Question 1 Requirement Mark 1m 845 2 Additional guidance 5 × 6 − 30 × 8 − 1m 40 OR 5 3a 450 1m 3b 125 1m Five coins which total £1.60, ie 1m £1 20p 20p 10p 10p U1 4 Accept an answer in the range 440 to 460 inclusive. Coins may be given in any order. OR 50p 50p 20p 20p 20p OR 50p 50p 50p 5p 5p 5 A AND D AND E 1m 6a 54 1m 6b 63 1m 7a 7:55am 1m The answer is a specific time (see page 5 for guidance). 7b 40 minutes 1m The answer is a time interval (see page 5 for guidance). 8 Award TWO marks for all three pairs of numbers correct as shown: 5 3 1 2 + 8 + U1 7 + Numbers within pairs may be given in either order. 6 + Up to 2m Letters may be given in any order. 4 If the answer is incorrect, award ONE mark for two pairs of numbers correct. 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test A questions 9–13 Question 9 Requirement Mark 1m Two numbers circled as shown: 255 650 735 900 Additional guidance Accept alternative unambiguous indications, eg numbers ticked, crossed or underlined. 1m Accept inaccurate drawing provided the intention is clear. 995 10 Diagram completed as shown: 11 Award TWO marks for all four symbols correct, as shown: Up to 2m < > = > If the answer is incorrect, award ONE mark for three symbols correct. 12 Award TWO marks for the correct answer of £3.05 Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: Accept for ONE mark £305 OR £305p as evidence of appropriate working. £5.00 – £1.05 = £3.95 Working must be carried through to reach an answer for the award of ONE mark. £7.00 – £3.95 = wrong answer OR 7 – 5 = 2 2 + 1.05 = wrong answer 13a 14 1m 13b C 1m Sourced from SATs-Papers.co.uk Accept 5 http://www.SATs-Papers.co.uk 7 2011 KS2 Mathematics tests mark schemes Test A questions 14–18 Question 14 Requirement Mark 1m Arrow drawn to 640, as shown: 100 grams 800 Accept answer given on upper diagram provided no answer is given on lower diagram. 200 700 Arrow should be closer to 640 than to 620 or 660 Accept any unambiguous indication of the correct point on the scale, including an arrow not originating from the centre of the dial. 0 900 Additional guidance 300 600 400 500 15 An explanation which recognises that the shaded area is equivalent to one-third, eg: 2 1 ‘6 is shaded and that is equivalent to 3‘ 1m No mark is awarded for circling ‘Yes’ alone. U1 Do not accept vague or incomplete explanations, eg: 1 ‘2 out of 6 is the same as 1 out of 3’ ’It’s equivalent to 3‘ ‘2 out of 6’ ‘3 is shaded and 3 is not shaded’ 2 1 4 2 1 ‘6 is shaded and 6 is not shaded, which is the 1 2 same as 3 shaded and 3 not shaded’ ‘The two parts shaded add up to 3‘ ‘Half of 2 squares are shaded’. ‘There are 3 squares, and 2 halves are shaded, and 2 halves make one whole’ If ‘No’ is circled but a correct, unambiguous explanation is given, then award the mark. ‘The two shaded triangles are the same as one square and that is one out of three squares’ ’1 square out of 3’ ‘If you add the shaded parts together it makes one square’ 16a 1m 16b 4 1m 16c banana 1m 17 22.11 1m 18 8 2 4 1m Sourced from SATs-Papers.co.uk Do not accept nuts and fruit bar. Accept unambiguous abbreviations or recognisable misspellings. Accept 21 AND 22 AND 23 AND 24 http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test A questions 19–21 Question Requirement Mark 19a 16 1m 19b A whole number in the range 180 to 190 inclusive Additional guidance 1m 20 100 47 ÷ = 0.47 10 1m Numbers within calculations may be given in either order. = 40.7 AND 4.07 21 × Award TWO marks for the correct answer of 17 If the answer is incorrect, award ONE mark for evidence of appropriate working which contains no more than ONE arithmetical error, eg: repeated addition/subtraction methods, eg 544 −320 224 −160 64 −64 0 10 × 32 Up to 2m In all cases accept follow-through of ONE error in working. Working must be carried through to reach an answer for the award of ONE mark. Do not award any marks if the final answer is missing. 5 × 32 Variations on algorithms are acceptable, provided they represent a viable and complete method. 2 × 32 wrong answer No mark is awarded for repeated addition/ subtraction/halving the wrong number of times. repeated halving, eg 544 ÷ 2 = 272 272 ÷ 2 = 136 136 ÷ 2 = 68 68 ÷ 2 = 34 34 ÷ 2 = wrong answer fraction method, eg 544 32 136 34 = 8 = 2 = wrong answer short division algorithm wrong answer 22 32 5 4 4 Short division methods must be supported by evidence of appropriate carrying figures to indicate use of a division algorithm. long division algorithm wrong answer 32 544 320 224 −224 0 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 9 2011 KS2 Mathematics tests mark schemes Test A questions 22–23 Question 22a Requirement Triangle drawn on the diagram as shown: Mark 1m Additional guidance Accept inaccurate drawing provided the intention is clear. Triangle must be shaded. 22b Quarter circle drawn on the diagram as shown above. 1m Accept inaccurate drawing provided the intention is clear. The size of the quarter circle is not important, provided it does not touch the shaded rectangle. Quarter circle need not be shaded. 23a 13 for the x coordinate 1m U1 23b 15 for the y coordinate 1m Accept unambiguous answers written on the diagram. Accept unambiguous answers written on the diagram. If the answer to 23a is 15 AND the answer to 23b is 13, then award ONE mark for 23b. 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test A question 24 Markers will use a transparent overlay of this page to mark pupils’ answers to this question. A copy is enclosed. 6 cm 8 cm Question 24 Requirement Award TWO marks for a quadrilateral drawn with an angle in the range 73° to 77° inclusive AND length of sloping line in the range 9.1cm to 9.3cm inclusive (ie upper vertex of quadrilateral within inner box on diagram). If the answer is incorrect, award ONE mark for: a completed quadrilateral drawn with an angle in the range 73° to 77° inclusive OR a completed quadrilateral drawn with an angle in the range 72° to 78° inclusive AND length of sloping line in the range 9.0cm to 9.4cm inclusive. Sourced from SATs-Papers.co.uk Mark Up to 2m Additional guidance Accept drawings where any side has been extended past a vertex. Accept drawings which do not use the given 8cm base line, provided they have used a line with a length in the range 7.8cm to 8.2cm inclusive. Accept for ONE mark drawings not using the given 8cm base line which have a base line outside the range 7.8cm to 8.2cm, provided they have an angle in the range 73° to 77° inclusive AND a sloping line in the range 9.1cm to 9.3cm inclusive. Accept for ONE mark drawings of incomplete quadrilaterals, provided they have an angle in the range 73° to 77° inclusive AND a sloping line in the range 9.1cm to 9.3cm inclusive. http://www.SATs-Papers.co.uk 11 2011 KS2 Mathematics tests mark schemes Test A question 25 Question Requirement Mark Award TWO marks for the correct answer of 39 Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg: 25 U1 Additional guidance 36 ÷ 3 = 12 36 ÷ 4 = 9 12 + 9 + 9 + 9 = wrong answer Accept for ONE mark an answer of 42 supported by appropriate working, eg 36 + 3 + 3 Working must be carried through to reach an answer for the award of ONE mark. OR 12 9 12 − 9 = 3 36 + 3 = wrong answer 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test B questions 1–5 Question 1 Requirement 120 85 Additional guidance 1m Number circled as shown: 70 2 Mark 111 Accept alternative unambiguous indications, eg number ticked, crossed or underlined. 1m Calculations may be given in either order. 909 Calculations completed as shown: The first two numbers within each calculation may be given in either order. 10 + 30 = 40 20 + 30 = 50 3 Award TWO marks for one line of symmetry positioned correctly on each diagram as shown: Up to 2m For the first diagram, accept slight inaccuracies in drawing (see page 3 for guidance). For the second and third diagrams, accept inaccurate drawing provided the intention is clear. If the answer is incorrect, award ONE mark for two diagrams completed correctly. 4 Award TWO marks for four rows correct as shown: Up to 2m Accept alternative unambiguous indications, eg û or Y. If the answer is incorrect, award ONE mark for three rows correct. 1 5a 2.5 OR 22 1m 5b 5 1m Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 13 2011 KS2 Mathematics tests mark schemes Test B questions 6–13 Question Requirement Mark Additional guidance 6a £63.25 1m 6b 28 1m 7a 12 OR 1.5 1 1m 7b 1 1m 8 3 4 1m Accept equivalent fractions or decimals. 9 A AND D 1m Letters may be given in either order. 10a 19 1m 10b 14 1m 1 5 1m 11 3 Accept equivalent fractions, eg 15 Accept 0.2 OR 20% 12 5 1m 13 Award TWO marks for the correct answer of 75 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Do not accept a list of dates. Up to 2m Answer need not be obtained for the award of ONE mark. 30 × 50 = 1500 1500 ÷ 20 OR 30 × 50p = £15 5 20p coins make £1 5 × 15 OR 50p ÷ 20p = 2.5 30 × 2.5 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test B questions 14–18 Question Requirement Mark 14a E 1m 14b D Additional guidance 1m 15 Award TWO marks for a multiple of 15 which is greater than 100, eg Up to 2m Accept more than one answer if all are correct. 105 OR 120 OR 135 OR 150 OR 300 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Accept for ONE mark 30, 45, 60, 75 OR 90 Not spotting matching number (105) 90 93 96 99 102 105 108 … 90 95 100 105 110 115 … 90 93 96 98 101 104 107 110 … 90 95 100 105 110 115 … One step size incorrect (96 to 98) 15 30 45 60 75 80 95 110 125 One step size incorrect (75 to 80) 3 × 5 × 20 OR 15 × 10 Multiple greater than 100 but not calculated Answer need not be obtained for the award of ONE mark. 16 1 2 kg 17 18 1m Masses in order, as shown: 1 1 800g × 1 2 kg Accept answers with missing or incorrect units. 1m Numbers may be given in either order. 1m No mark is awarded for circling ‘No’ alone. U1 Do not accept vague or incomplete explanations, eg: 1 tonne 6 An explanation which gives a counter-example to illustrate that halving a number that ends in 8 does not always give a number ending in 4, eg: ’18 doesn’t work’ ‘It could end in a 9’ ‘Double 49 is 98’ ’58 ÷ 2 = 29’ ‘Half of 8 is 4 but half of 18 doesn’t end in 4’ ‘Half of them don’t’ ‘Half of 28 is 14’ ‘Double 44 is 88’ If ‘Yes’ is circled but a correct, unambiguous explanation is given, then award the mark. ’18, 28, 38, 48, 58, 68 – only half of them work’ ‘It has to have an even number of 10s, like 28 or 88’ ‘38’ Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 15 2011 KS2 Mathematics tests mark schemes Test B questions 19–22 Question 19 Requirement Mark Award TWO marks for the correct answer of 16 Additional guidance Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: Answer need not be obtained for the award of ONE mark. 56 ÷ 7 = 8 2 × 8 OR 7 quarter-circles 2 triangles 14 quarter-circles 4 triangles 28 quarter-circles 8 triangles 56 quarter-circles … 20a 07:33 1m The answer is a specific time (see page 5 for guidance). 20b 07:35 1m The answer is a specific time (see page 5 for guidance). An explanation which recognises that there are two counters labelled 35 and only one counter labelled 45, eg: 1m No mark is awarded for circling ‘Yes’ alone. U1 Do not accept vague or incomplete explanations, eg: 21 ‘For 35 there’s a white and a green, but for 45 there’s only a green’ ‘There are more counters below 40’ ’45 is green’ ‘There are two 35s and one 45’ ‘White goes up to 40’ ‘There are twice as many 35s as 45s’ ‘There are more greens’. ‘The only 45 is green’ If ‘No’ is circled but a correct, unambiguous explanation is given, then award the mark. ‘There is only one 45’ ‘White counters only go up to 40, so 35 would be more likely to win’ 22 35 W 35 G 45 G Award TWO marks for all four letters in the correct order as shown: 99 J 29 G –83 A –15 E 44 Up to 2m H If the answer is incorrect, award ONE mark for three letters correct. 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 2011 KS2 Mathematics tests mark schemes Test B questions 23–26 Question Requirement Mark 23 Diagram completed correctly as shown: 1m 24 60% Additional guidance 1m Accept slight inaccuracies in drawing (see page 3 for guidance). U1 25 Award TWO marks for Joe 10 AND 16 Up to 2m U1 Joe’s even numbers may be given in either order. AND Dev 9 AND 15 Dev’s odd numbers may be given in either order. If the answer is incorrect, award ONE mark for: three numbers correctly attributed OR 9 AND 10 AND 15 AND 16 with some or all attributed to the wrong child. 26 Award TWO marks for the correct answer of 3.6 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg: 10 ÷ 0.05 = 200 200 × 1.8 = 360 360 ÷ 100 Up to 2m Answer must be in metres for the award of TWO marks. Accept for ONE mark 360 centimetres. If the answer is incorrect, accept for ONE mark an answer of 36 multiplied by any power of 10 with no evidence of an incorrect method. Answer need not be obtained for the award of ONE mark. OR 20 5p coins make £1 200 5p coins make £10 200 × 0.018 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 17 2011 KS2 Mathematics tests mark schemes 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 20. In addition, a ‘quick reference’ mark scheme is provided on page 19. 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. 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mental mathematics 2011 quick reference mark scheme Practice question 10 1.3 11 416 Time: 5 seconds 12 15 20 25 40 45 1 6204 2 28 13 621 3 4250 14 200 4 7.5 15 41 5 65 mm 1 Accept 72 Time: 15 seconds 16 Time: 10 seconds 6 Do not accept 200% £1.10 17 £ 5 18 cm 7 180 18 114 8 75 min 19 21 20 0.999 9 3 Accept 9r3 or remainder 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 19 2011 KS2 Mathematics tests mark schemes Mental mathematics questions 1–20 Question Requirement Mark 1 6204 1m 2 28 1m 3 4250 1m 4 7.5 1m 5 65mm 1m 6 £5 1m 7 180 1m 8 75 minutes 1m 9 3 1m Additional guidance Answer must be in figures. Accept 71 2 Accept 9r3 Accept remainder 3 10 1.3 1m 11 416 1m 12 15 20 25 40 45 1m Accept alternative unambiguous indications, eg underlining. Do not accept if more than one answer is indicated unless the intention is clear. 13 1m 14 200 1m 15 41 1m 16 £1.10 1m 17 18cm 1m 18 114 1m 19 21 1m 20 20 621 0.999 1m Sourced from SATs-Papers.co.uk Do not accept 200% http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Qualifications and Curriculum Development Agency 53−55 Butts Road Earlsdon Park Coventry CV1 3BH Telephone 0300 303 3013 Textphone 0300 303 3012 Fax: 0300 303 3014 Email: assessments@qcda.gov.uk www.qcda.gov.uk/tests Sourced from SATs-Papers.co.uk For more copies QCDA Orderline, PO Box 29, Norwich NR3 1GN Tel: 0300 303 3015 Fax: 0300 303 3016 Email: orderline@qcda.gov.uk Website: orderline.qcda.gov.uk 1070.01 QCDA/11/5231 (Mark schemes pack) http://www.SATs-Papers.co.uk