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Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 1 First published in 2001 © Qualifications and Curriculum Authority 2001 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. 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 http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 1 Marking the mathematics tests As in 2000, 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 arithmetic and the level 6 extension test C. Level threshold tables will be posted on the QCA website on Friday 22 June (www.qca.org.uk). 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 4 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. The ‘requirement’ column may include two types of information: I a statement of the requirements for the award of each mark, with an indication of whether credit can be given for correct working; I 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 arithmetic test, general guidance on marking is given on page 18, 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. Unless otherwise specified in the mark scheme, markers will apply the following guidelines in all cases. 1 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 2 What if … Marking procedure The child’s response is Markers will award the mark unless the mark scheme states otherwise. numerically or algebraically equivalent to the answer in the mark scheme. The child’s response does Markers will use their judgement in deciding whether the response corresponds with not match closely any of the statement of the requirements given in the ‘Requirement’ column. Reference will the examples given. also be made to the additional guidance and, if still uncertain, markers will contact the supervising marker. The child has responded Calculations, formulae and written responses do not have to be set out in any in a non-standard way. particular format. Children 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 This is when the child misreads the information given in the question and uses misreading affecting different information without altering the original intention or difficulty level of the the working. 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(s). No answer is given in Where a child has shown understanding of the question, the mark(s) will be given. the expected place, but In particular, where a word or number response is expected, a child may meet the the correct answer is requirement by annotating a graph or labelling a diagram elsewhere in the question. given elsewhere. The response in the Where appropriate, detailed guidance will answer box is wrong, but be given in the mark scheme, which markers the correct answer is will follow. If no guidance is given, markers shown in the working. will examine each case to decide whether: the incorrect answer is due to a transcription If so, the mark will be awarded. error; the child has continued to give redundant If so, the mark will be awarded. extra working which does not contradict work already done; the child has continued to give redundant If so, the mark will not be awarded. extra working which does contradict work already done. 2 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 3 What if … Marking procedure The child’s answer is A correct response will always be marked as correct. correct but the wrong working is shown. The correct response has Any legible crossed out work that has not been replaced will be marked been crossed out and according to the mark scheme. If the work is replaced, then crossed out work not replaced. will not be considered. More than one answer If all answers are correct (or a range of answers is given, all of which are is given. 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, A mark given for one part will not be disallowed for working or answers given in a later part of the in a different part, unless the mark scheme specifically states otherwise. question, the child has contradicted this response. Recording marks awarded on the test paper In the grey margin there is a mark box for each question part. For the written tests, the number of marks gained on each double page will be written in the total box 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, and on the mark sheet. All questions in the written tests, even those not attempted by the child, will be marked with a ‘2’, ‘1’ or ‘0’ entered in the mark box. A two-mark question which is correct has ‘2’ entered in the mark box. 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 mark box. Otherwise, ‘0’ will be entered in the mark box. For questions in the mental arithmetic tests, marks of either ‘1’ or ‘0’ are possible. Test A carries a total of 40 marks. Test B also carries a total of 40 marks. The mental arithmetic test carries a total of 20 marks. There is a total of 30 marks available in Test C. The 2001 key stage 2 mathematics tests and mark schemes were developed by the Mathematics Test Development Team at QCA. 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 4 Test A questions 1–3 Question Requirement Mark 1a 65 1m 1b 8 1m 1c 180 Additional guidance 1m 2 1m Accept answers with missing or incorrect units. Accept a misread of the amounts provided this does not alter the correct order intended by the question. Accept the reverse order of the amounts. 3a 12p 1m Accept 12 if written outside the answer box. 3b 85p OR £0.85 1m Accept 85 OR 0.85 OR .85 OR £0.85p OR £.85 OR £.85p OR £0 85 Do not accept £85p OR 0.85p OR £85 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 5 Test A questions 4 –7 Question 4 Requirement Diagram completed as shown: Mark 1m Additional guidance Shape need not be shaded. Accept slight inaccuracies in drawing provided the intention is clear. 5 1m Accept alternative indications, eg the number crossed or underlined. 6 Completion of rectangle as shown: 1m Accept slight inaccuracies in drawing provided the intention is clear. 7 90p OR £0.90 1m Accept 90 OR 0.90 OR £.90 OR £.90p OR .90 OR £0.90p OR £0 90 Do not accept £0.9 OR £90p OR 0.90p OR £90 5 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 6 Test A questions 8 –11 Question 8 Requirement Award TWO marks for the table correctly completed as shown: Mark Up to 2m Additional guidance Do not accept any row that has both columns ticked. Accept unambiguous alternatives to ticks, eg ‘yes’. If the table is not correctly completed award ONE mark for any two out of three ticks correct. 9a 3 in left hand box 1m 9b 2 in right hand box 1m 10a 09:55 OR 9:55 1m Accept 21:55 OR 955 OR 2155 Accept ‘five to ten’ or equivalent. Ignore am or pm. 10b 11:45 1m Accept 23:45 OR 1145 OR 2345 Accept ‘quarter to twelve’ or equivalent. Ignore am or pm. 11 121 1m 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 7 Test A questions 12 –14 Question 12 Requirement Award TWO marks for numbers placed in boxes as shown below: Mark Up to 2m Additional guidance Do not accept a number repeated in different boxes. Ignore any numbers on the diagram other than those given. If the answer is incorrect, award ONE mark for two numbers correctly placed. 13 270° 14 Award TWO marks for the correct answer of £2.47 1m Up to 2m Accept for TWO marks £2.47p OR £2 47 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Accept for ONE mark £247p OR £247 OR 2470 OR 24.7 as evidence of appropriate working. (4 + 6 + 7) –14.50 = 2.50 Calculation must be performed for the award of ONE mark. 250 – 3 = wrong answer 7 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 8 Test A questions 15 –17 Question 15a Requirement Statements ticked and crossed as shown below: Mark 1m Additional guidance Accept alternative unambiguous indications, eg ‘Y’ or ‘N’ Do not accept statements, which are not ticked, crossed or otherwise clearly marked. 15b An explanation which recognises that the highest possible score on each spinner is 3 and that 3 + 3 < 7, eg I ‘On the spinners there are only the numbers 1 to 3 so they must add up to less than 7’; I No mark is awarded for circling ‘Yes’ alone. Do not accept vague or ambiguous explanations, eg ‘The best score is 3 + 3’; I 1m ‘Because even if you add the highest number on each spinner the answer would be 6’. I ‘Because 1 + 2 + 3 do not add up to 7’; I ‘The numbers add up to less than 7’; I ‘I know because they won’t add up to more than 7’. If ‘No’ is circled but a correct unambiguous explanation is given then award the mark. 16 689 1m 17a Answer in the range 101mm to 103mm inclusive. 1m 17b Answer in the range 21 degrees to 23 degrees inclusive. 1m 8 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 9 Test A questions 18 –20 Question 18 Requirement Award TWO marks for the correct answer of 12216 Mark Additional guidance Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working which contains no more than ONE arithmetical error, eg In all cases accept follow through of ONE error in working. Do not award any marks if: I conventional algorithms such as: the final (answer) line of digits is missing. Variations on algorithms are acceptable, provided they represent viable and complete methods. OR I the error is in the place value, for example the omission of the zero when multiplying by the 2 tens; I I decomposition methods, eg 24 × 500 = 12000 24 × 9 = 216 Calculation must be performed for the award of ONE mark. 12000 + 216 = wrong answer 19 Fractions completed as shown below: 1m 20a (15, 40) 1m 20b (20, 0) All three fractions must be correct for the award of the mark. 1m Accept answers written on the diagram with or without brackets and commas. Coordinates must be written in the correct order. 9 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 10 Test A questions 21–22 Question 21 Requirement Award TWO marks for the correct answer of 4cm. Mark Additional guidance Up to 2m If the answer is incorrect award ONE mark for evidence of appropriate working, eg Calculation must be performed for the award of ONE mark. 1+2+2=5 20 ÷ 5 = wrong answer 22a £17 500 1m Accept 17500 with or without commas or spaces. 22b An explanation which recognises that November sales were double October, eg 1m No mark is awarded for circling ‘Yes’ alone. I ‘October was 7500 and November was 7500 more which is 100%’; I ‘November is twice October, which is 200%’. Do not accept vague or arbitrary answers, eg I ‘November is more than October’; I ‘Because November is £15000’. If ‘No’ is circled but a correct unambiguous explanation is given then award the mark. 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 11 Test A questions 23 –25 Question 23 Requirement Award TWO marks for the correct answer of 12 Mark Additional guidance Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Calculation must be performed for the award of ONE mark. 25 – 1 = 24 24 ÷ 2 = wrong answer 24 69 1m 25 Diagram completed as shown below: 1m Accept slight inaccuracies in drawing provided the intention is clear. The shape need not be shaded. OR any parallelogram using the given line, and part of the broken line shown below. 11 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 12 Test B questions 1– 4 Question Requirement 1 Mark 1m 2 50 Squares shaded as shown: 1m Do not accept numbers circled twice. 1m 3 Additional guidance Accept alternative unambiguous indications, eg squares crossed. Accept slight inaccuracies in the shading, provided the intention is clear. 4a Nicola 1m Accept recognisable misspellings. 4b 2 1m Accept the names Lena and Rashid. 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 13 Test B questions 5 –9 Question Requirement Mark 5a 140 1m 5b 12 Additional guidance 1m 6 Award TWO marks for the use of five of the given number cards to complete addition appropriately, ie Up to 2m No mark is awarded if digits other than 4 or 9 are used. OR If the answer is incorrect award ONE mark for 9 in the units column of both numbers, ie 7 Any pair of numbers with quotient 10, eg 1m Numbers must be in correct order. 8 Both circles drawn on faces as shown: 1m The size and accuracy of the circles is unimportant, provided the correct faces are indicated. 9a £7.50 1m Accept £7.50p OR £7 50 Do not accept £7.5 OR £750p OR £750 9b 3:50 pm 1m Accept ‘10 to 4’ or equivalent. Accept 15:50 OR 350 OR 1550 13 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 14 Test B questions 10 –12 Question 10a Requirement Award TWO marks for the correct answer of 192 OR £192.00 Mark Up to 2m If the answer is incorrect award ONE mark for evidence of an appropriate method, eg Additional guidance Accept for TWO marks £192.00p OR £192 00 Accept for ONE mark £192p OR £19200 OR £1.92 OR £19.20 OR £1920 as evidence of an appropriate method. £8.50 x 12 = £102 Answer need not be obtained for the award of the mark. £4.50 x 20 = £90 cost = £102 + £90 10b 16 11 1m 1m Accept alternative indications, eg the numbers crossed or underlined. OR 12a Equivalent of 2 squares shaded, eg 1m Accept part squares shaded as long as the intention is clear. 12b Equivalent of 2 squares shaded, eg 1m Accept part squares shaded as long as the intention is clear. Accept inaccuracies in shading providing the intention is clear. 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 15 Test B questions 13 –16 Question 13 Requirement Mark Award TWO marks for all three numbers correctly placed in the regions as shown: 92 145 Up to 2m Additional guidance Do not accept a number repeated in different regions, eg 309 350 If the answer is incorrect, award ONE mark for two numbers correctly placed. 14 Diagram completed correctly as shown: Do not penalise answers which offer additional numbers (other than 99, 170, and 221) on the diagram, whether correctly placed or not. 1m Lines need not touch boxes or numbers exactly, provided the intention is clear. Do not accept two or more lines emanating from the same left-hand box. 15 B AND D 1m Accept letters in either order. Accept unambiguous indications on the diagram. 16 9.8 1m 15 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 16 Test B questions 17–19 Question 17 Requirement Arrow marked on scale as shown: Mark 1m Additional guidance Accept slight inaccuracies, provided the intention is clear. Accept alternative unambiguous indications, eg cross on scale. Do not accept the number ‘1.4’ alone. 18 Correct names indicated as shown: 1m Accept alternative, unambiguous indications such as underlining the correct name. Both must be correct for the award of the mark. 19a 3 – 4 19b Award TWO marks for the correct answer of 625 OR 0.75 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 1m Accept equivalent fractions. Up to 2m Accept for ONE mark 0.625 OR 6.25 OR 62.5 OR 6250 as evidence of appropriate method. 2.5 x 250 OR 250 + 250 + 125 Calculation need not be performed for the award of the mark. 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 17 Test B questions 20 –27 Question 20 Requirement 49 Additional guidance 1m 21 22 Mark 1m Explanation which recognises that each number is one more than a multiple of 3, eg I No mark is awarded for circling ‘Yes’ alone. Do not accept vague or arbitrary explanations such as ‘It starts at 1 and keeps adding 3 so it misses all the multiples of 3’; I 1m ‘Multiples of 3 are all 1 less than the numbers’. I ‘They’re too big’; I ‘It doesn’t go far enough’; I ‘It is adding 3 all the time’. If ‘No’ is circled but a correct unambiguous explanation is given then award the mark. 23 3 AND 7 AND 11 1m 24 – 157.5 OR 1571 2 1m 25a Answer in the range 18 minutes to 19 minutes inclusive. 1m 25b Answer in the range 6 minutes to – 71 minutes inclusive. 2 1m 26 Award TWO marks for the correct answer of 18° Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Accept numbers in any order. Calculation need not be performed for the award of the mark. 90 – 60 – 12 27 Award TWO marks for the correct answer of p = 575 AND q = 425 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Up to 2m Both p and q must be correct for the award of the marks. Accept for ONE mark, answers given in the wrong order, ie p = 425 AND q = 575 q + q +150 = 1000 q + q = 850 q = 850 ÷ 2 p = q + 150 17 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 18 Mark scheme for the mental arithmetic test Applying the mark scheme Please note that children 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 pages 20 and 21. In addition a ‘quick reference’ mark scheme is provided on page 19. This is presented in a similar format to the children’s answer sheet. General guidance The general guidance for the marking of the written tests also applies to the marking of the mental test. In addition, please apply the principles below: 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. Do not penalise children 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 child’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 Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 19 Mental arithmetic 2001 quick reference mark scheme Practice question 11 60 12 300 cm 33 Time: 5 seconds 1 13 6 2g 20g 200g 2kg 2 45 34 14 3 39 15 4 5 0.25 0.52 0.5 0.4 0.2 800 900 1000 Accept 0.75 .75 Accept .026 0.026 Time: 15 seconds 78 16 Time: 10 seconds 17 600 18 6 20kg 700 0.27 430 7 3:20 8 9 3 10 31 Accept 15:20 76 pm 0.207 2.07 19 m Accept 3.0 or 3.00 35 2.7 5.65 20 0.027 ° Accept 31.0 19 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 20 Mental arithmetic questions 1–10 Question Requirement Mark Additional guidance 1 6 1m 2 45 1m 3 39 1m 4 0.75 1m Accept .75 5 0.026 1m Accept .026 6 430 1m 7 3:20 pm 1m 8 76 1m 9 3 1m Accept 3.0 OR 3.00 10 31 1m Accept 31.0 Accept 15:20 OR 320 OR 1520 OR twenty past three 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 21 Mental arithmetic questions 11–20 Question Requirement Mark 11 60 1m 12 300 Additional guidance 1m 13 1m Accept any other way of indicating the answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 14 34 15 1m 1m Accept any other way of indicating the answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 16 78 17 1m 1m Accept any other way of indicating the answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 18 1m Accept any other way of indicating the answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 19 5.65 1m 20 35 1m 21 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 22 Test C questions 1– 4 Question Requirement Mark 1a 1210 in left-hand box. 1m 1b –0.99 in right-hand box. 1m Additional guidance Do not accept ‘0.99 –’ –9.9 Do not accept ‘ –––– ’ 10 2 Any two decimals, each less than 1, with a product of 0.1, eg 1m Accept negative numbers, eg – 0.5 – 0.2 OR 3 1m 4a Answer in the range 5.9 to 6.2 seconds inclusive. 1m 4b Answer in the range 17.5m to 18.5m inclusive. Accept 97 2 1m 22 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 23 Test C questions 5 –7 Question Requirement Mark 5a x = 155° 1m 5b y = 85° 1m 6 Award TWO marks for the correct answer of 9 Additional guidance If answers for 5a and 5b are transposed, but otherwise correct, award ONE mark only, in the 5b box. Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg algebraic manipulation to reach 7u = 63 7a Award TWO marks for the correct answer of 1.5% Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Calculation need not be completed for the award of the mark. 93 ÷ 6200 × 100 7b Award TWO marks for a calculation that demonstrates that Mike is correct, ie Up to 2m Ignore any incorrect rounding of a correct calculation. that 93 000 000 each year is equivalent to approximately 177 people each minute. Award ONE mark for evidence of an appropriate method to calculate the equivalent increase in population each minute, eg Calculation need not be completed for the award of the mark. 93 000 000 ÷ 365 ÷ 24 ÷ 60 Accept methods that use any of the following for the number of days in the year: 365 OR 366 OR 365.25 OR 52 × 7 Accept for ONE mark the correct method even if it leads to the wrong conclusion. 23 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 24 Test C questions 8 –9 Question 8a Requirement Award TWO marks for the correct answer of 121 Mark Additional guidance Up to 2m Calculation need not be completed for the award of the mark. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 40 × 3 + 1 8b q = 3n + 1 1m Accept equivalent expressions, eg q=n×3+1 q=n+n+n+1 q = 1 + n3 Accept the answer in words, eg ‘q is 3 times n then add 1’. 9 Award TWO marks for the correct answer of 5cm If the answer is incorrect award ONE mark for evidence of an appropriate method, eg 2n × n × n = 250 Up to 2m The calculation need not be completed for the award of the mark, but n × n × n = 125 OR n3 = 125 must be reached. so n × n × n = 125 24 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 25 Test C questions 10 –12 Question 10 Requirement Award TWO marks for the correct answer of 108cm2 Mark Additional guidance Up to 2m If the answer is incorrect award ONE mark for evidence of an appropriate method, eg Calculation need not be completed for the award of the mark. No mark is awarded for the result of calculating 12 × 18 only. 36 ÷ 2 = 18 24 ÷ 2 = 12 area = 11 1 – 2 × 12 × 18 Award TWO marks for the table completed correctly as shown: Up to 2m Accept alternative indications, eg crosses in the table. Do not accept any row that has ticks in more than one column. If the answer is incorrect, award ONE mark for two out of three ticks correctly placed. 12 Any pair of coordinates for the graph y = x –7 that lie between (0, –7) and (7, 0), eg (1, – 6) OR (2, –5) OR (3, – 4) OR (4, –3) OR 1m Accept decimals and fractions provided they are correct for the graph y = x –7 Coordinates must be written in the correct order. – – (5, –2) OR (6, –1) OR (3 1 , –3 1 ) etc. 2 2 25 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page 26 Test C questions 13 –15 Question 13 Requirement Award TWO marks for the correct answer of 52 Mark Additional guidance Up to 2m If the answer is incorrect award ONE mark for evidence of an appropriate method, eg The calculation need not be completed for the award of the mark. 51 × 10 = 510 so number of matches = 510 – ((49 × 3) + (50 × 2) + (54 × 2) + 51 + 52) 14a L is (30, –20) 1m Coordinates must be in the correct order. 14b M is (–10, 0) 1m Accept answers on the diagram, with or without commas or brackets. 15 Award TWO marks for the correct answer of 184 If the answer is incorrect award ONE mark for evidence of an appropriate method, eg Up to 2m The calculation need not be completed for the award of the mark. 46 ÷ 2 × 8 26 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 4:49 pm Page xxvii The following blank pages may be used for your own notes Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 Sourced from SATs-Papers.co.uk 4:49 pm Page xxviii http://www.SATs-Papers.co.uk Mark Scheme Text 00-6579/5 1/6/2001 Sourced from SATs-Papers.co.uk 4:49 pm Page xxix http://www.SATs-Papers.co.uk