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First published in 2000 © Qualifications and Curriculum Authority 2000 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publishers, 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 29 Bolton Street London W1Y 7PD www.qca.org.uk/ Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Marking the mathematics tests Introduction As in 1999, 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. 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 ‘requirements’ 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. There is guidance on using the mark scheme for the mental arithmetic test on page 16. 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. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 1 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 ‘Requirements’ 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 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, alongside each question part, 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 which is usually 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 marksheet. 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 2000 key stage 2 mathematics tests and mark schemes were developed by the Mathematics Test Development Team at QCA. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 Test A questions 1–3 Question 1 Requirement Mark Award TWO marks for the diagram completed correctly as shown. 3x6 9x2 5x8 50 x 2 9 x 10 3 x 30 5 x 20 Lines need not touch the boxes, provided the intention is clear. Do not accept two or more lines emanating from the same left-hand box. 2 x 25 10 x 5 Up to 2m Additional Guidance 10 x 4 If the answer is incorrect, award ONE mark for at least two lines correctly drawn. 2a 350 1m 2b 112 1m C 1m 3 4 Sourced from SATs-Papers.co.uk Accept alternative, unambiguous indications of the answer such as a cross on shape C or a line from C to the hole. http://www.SATs-Papers.co.uk Test A questions 4–8 Question 4 Requirement Award TWO marks for all three numbers placed in the regions as shown. Mark Up to 2m 620 6a Award TWO marks for the correct answer of 74p OR £0.74 1m Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Award TWO marks for the correct answer of 22p OR £0.22 Accept for TWO marks 74 OR 0.74 OR £0.74p OR .74 OR £.74 OR £.74p Accept for ONE mark £74p OR 0.74p as evidence of appropriate working. Calculation must be performed for the award of ONE mark. 148 ÷ 2 = wrong answer 6b Do not accept a number repeated in different regions, eg Do not penalise answers which offer additional numbers (other than 8,15 and 40) on the diagram, whether correctly placed or not. If the answer is incorrect, award ONE mark for two numbers correctly placed. 5 Additional Guidance Up to 2m Accept for TWO marks 22 OR 0.22 OR £0.22 OR .22 OR £.22 OR £.22p If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Accept for ONE mark £22p OR 0.22p OR £22 as evidence of appropriate working. 2 x 85 – 148 = wrong answer Calculation must be performed for the award of ONE mark. 7a 107 1m 7b 53 1m 8a 5 1m 8b – 3 OR minus 3 1m Answers must be calculated in each case, eg do not accept 15 + 42 + 50 as the answer to 7a. Accept ‘3 degrees below zero’ or similar OR ‘–3’ written on either thermometer. Do not accept ‘3–’ OR a mark on the thermometers such as a cross, unless the numerical answer is written. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5 Test A questions 9–14 Question 9 Requirement Award TWO marks for the correct answer of A, C, E. Mark Up to 2m Accept for ONE mark either three correct letters and one additional letter OR two correct letters and up to one incorrect letter. 10a 5 18 Accept letters in any order. Accept alternative, unambiguous indications, eg ticks or mirror lines drawn on the correct shapes. 1m 10b Additional Guidance 1m 11 1m 12 Any two numbers such that Sara’s number is thirteen greater than Leon’s, eg Accept alternative indications, eg the numbers crossed or underlined. 1m Accept decimals, fractions, negative numbers and zero. Leon 10 Sara 23 13 630 1m 14a 3 AND 4 1m Accept numbers in either order. 14b An explanation which recognises that more than half of the spinner sections have 2 in them, eg 1m Do not accept vague or arbitrary explanations, eg I I I ‘There’s more twos than any other number’; I ‘It’s the easiest one to get’; I ‘Twos are the most’. ‘There are more twos than all the other numbers altogether’; I 6 ‘There are five twos out of the nine’; I ‘More than half are twos’; – ‘Because 2 has a probability of 5 ’. 9 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test A questions 15–19 Question 15a Requirement Award TWO marks for the correct answer of £2.10 OR 210p Mark Up to 2m Additional Guidance Accept for TWO marks £2.10p OR 210 OR 2.10 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Accept for ONE mark £2.1 OR £210 OR 2.10p as evidence of appropriate working. 350 ÷ 100 = 3.5 Calculation must be performed for the award of ONE mark. 3.5 x 60 = wrong answer 15b Award TWO marks for the correct answer of 250 Up to 2m If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 200 ÷ 80 = 2.5 Calculation must be performed for the award of ONE mark. 100 x 2.5 = wrong answer. 16a width = 22 1m 16b height = 17 1m If the correct answers are transposed, award the mark for 16b only. 17a An answer in the range 21 to 26 inclusive. 1m No mark is awarded for an answer which is not a whole number. 17b An explanation which recognises that Tony’s snails are a quarter of 80 and that Gemma’s snails are half of 36, so that Tony found more, eg 1m No mark is awarded for circling the correct answer of ‘Tony’. I ‘Tony found 20 and Gemma found only 18’; I Do not accept vague or arbitrary explanations, eg ‘Quarter of 80 is more than half of 36’. I ‘Tony found loads more’; I ‘Gemma found more but Tony’s amount is bigger’. Accept a correct, unambiguous explanation even if the wrong name is circled. 18 1m Do not accept 1000 circled twice. OR 19 54 Sourced from SATs-Papers.co.uk Accept alternative indications such as the numbers crossed or underlined. 1m Accept figures written on the diagram, provided a total is given. http://www.SATs-Papers.co.uk 7 Test A questions 20–23 Question 20 Requirement Explanation which recognises that the numbers in the sequence are multiples of 40 and that 2140 is not OR that only the even hundreds in the sequence have the numbers ending in 40, eg I Additional Guidance No mark is awarded for circling ‘No’ alone. Do not accept vague or arbitrary explanations, eg I ‘It’s odd, so it won’t be there’; I ‘It’s not part of the sequence’. ‘140 isn’t in it so 2140 won’t be’; I 1m ‘it doesn’t divide by 40’; I Mark ‘it will go 2000, 2040, 2080, 2120, 2160 . . . so there’s no 2140’. 21 4.85 1m 22a (11,9) 1m 22b (15,3) 1m Explanation which indicates that 300 can be added to 195, eg 1m 23 Accept answers written on the diagram with or without brackets and commas. Co-ordinates must be in the correct order. An answer to the multiplication is not required and no mark is awarded for it. I I ‘You add another 300 on’; Do not accept vague answers such as: I ‘3 x 65 = 195, 3 x 100 = 300 so it’s 495’; I ‘You work it out’; I 8 ‘It’s 3 x 100 more’; ‘100 has been added to 65, so multiply 100 by 3 and add it to 195’. I ‘Do a sum’; I ‘It’s nearly the same except it has 100 in front of it’. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test B questions 1–3 Question 1 Requirement One line drawn as shown. 2 Mark 1m Additional Guidance Line does not have to touch circles, provided the intention is clear. Accept alternative, unambiguous ways of indicating the answer, eg 225 + 475 = 700 1m 3a Middle clock joined to 6:35 1m 3b Lower clock joined to 11:10 1m Sourced from SATs-Papers.co.uk Lines do not have to touch the clocks, provided the intention is clear. Accept alternative, unambiguous ways of indicating the answer, eg correct numerical times written on clocks. http://www.SATs-Papers.co.uk 9 Test B questions 4–9 Question Requirement Mark 4 181 1m 5a 32 1m 5b 5 1m Diagram completed as shown: 1m Additional Guidance 6 Vertices must be within 2mm of correct points. Do not penalise lines drawn without a ruler, provided the intention is clear. 7 Any two numbers greater than 100 with a difference of 208, eg 1m 8a 9 1m 8b Friday 1m 8c 40 1m 9a £22.50 OR 2250p 1m 9b Award TWO marks for the correct answer of 42 Up to 2m Accept numbers with four or more digits. Accept recognisable mis-spellings. Accept 9:00 circled. Accept £22.50p OR 22.50 OR 2250 OR 22 50. Do not accept £2250 OR 22.50p OR £22.5. Accept for ONE mark, £42 OR 42p as evidence of an appropriate method. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 840 ÷ 20 OR 8.4 ÷ 0.2 10 Answer need not be obtained for the award of the mark. No method mark is awarded for 8.40 ÷ 20 alone. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test B questions 10–12 Question Requirement 10a A number in the range of 270 to 280 inclusive. 10b Award TWO marks for the correct answer of £135 OR £135.00 Mark 1m Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Any rectangle with an area of 14 squares, eg Accept for TWO marks £135.00p OR £135 00 Accept for ONE mark £135p as evidence of appropriate method. 2.25 x 60 11 Additional Guidance Calculation need not be performed for the award of the mark. 1m Rectangle need not be shaded or coincident with the grid lines. Accept extensions to the grid to allow, for example, a 14 x 1 rectangle. Accept slight inaccuracies in drawing provided the intention is clear. 12 Explanation which recognises that the largest two-digit number (99) added to itself only gives a three-digit number (198), eg I ‘Because if you do 99 + 99 you only get a three-digit number’; I ‘If you add any 2 two-digit numbers, you will get a three-digit number or a two-digit number’. Sourced from SATs-Papers.co.uk 1m No mark is awarded for circling the ‘Yes’ alone. Do not accept vague or arbitrary explanations such as I ‘The numbers aren’t big enough’; I ‘It doesn’t work’. If ‘No’ is circled but a correct unambiguous explanation is given then award the mark. http://www.SATs-Papers.co.uk 11 Test B questions 13–15 Question 13 Requirement Award TWO marks for a correct answer as shown below: Mark Additional Guidance Up to 2m Accept alternative, unambiguous indications, eg ‘Y’ or ‘N’. 1m Accept the answer in words, eg If the answer is incorrect, award ONE mark for three boxes correctly ticked or crossed OR two boxes correctly ticked and the other two boxes left blank. 14 – 1000 1 OR 1000.5 2 I 15 Award TWO marks for the correct drawing as shown below: Up to 2m ‘1000 and a half’. Shape need not be shaded. Accept slight inaccuracies in drawing, provided the intention is clear. If the drawing is incorrect, then award ONE mark for the shape correctly orientated but rotated about the wrong point (or a relocated ‘A’), eg 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test B questions 15 (continued)–16 Question Requirement 15 (continued) Mark Additional Guidance OR shape rotated 90° about A, but anti-clockwise, ie OR a stretching or contraction, by one square, of the length of the shape, which has otherwise been correctly rotated, eg 16 459 Sourced from SATs-Papers.co.uk 1m http://www.SATs-Papers.co.uk 13 Test B questions 17–19 Question 17 Requirement Award TWO marks for the table correctly completed as shown: Mark Up to 2m Additional Guidance Do not accept any line which has two or more ticks in it. 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. 18a 98 1m 18b 8 1m 19a 40 1m 19b Answer in the range 12 to 13 km inclusive 1m 19c An explanation which indicates that after 1 hour she has travelled more than 20 km and/or she has travelled less than 20 km in the second hour, eg 1m Do not accept vague or arbitrary explanations, eg I ‘She got tired in the second half’; I ‘It’s marked on the graph’; I I ‘There’s more crosses in the first hour than the second’; I ‘Half and half would be 20-20, but she does more than 20 then less than 20’; I ‘The gaps are further apart’. I 14 ‘She did about 40 km and it was about 22 in the first hour’; ‘It goes to 23 in the first hour’. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test B questions 20–22 Question 20 Requirement Award TWO marks for the boxes ticked and crossed as shown: Mark Additional Guidance Up to 2m If the answer is incorrect, award ONE mark for any three boxes ticked or crossed correctly OR two boxes correctly ticked and the other two boxes left blank. 21a Award TWO marks for the correct answer of 200 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Calculation need not be performed for the award of the mark. 320 ÷ 8 x 5 21b Award TWO marks for the correct answer of £4.60 Up to 2m Accept for TWO marks £4 60 OR £4-60 OR £4.60p If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 44.85 ÷ 9.75 22 Accept for ONE mark £4.6 OR £460p OR £460 as evidence of an appropriate method. Calculation need not be performed for the award of the mark. An explanation which recognises that the angle at the pivot for the region containing 1 is 180° or half a turn on both spinners, eg I ‘It’s half the turn of the spinner on each’; I ‘On both spinners the probability – of scoring 1 is 1 ’. 2 Do not accept vague or arbitrary explanation, eg I ‘It’s one out of three on each’; I ‘1 is the same space on both’; I ‘They are both equally good at spinning’; I ‘They have an equal chance of spinning 1’. ‘They are both 180°’; I 1m Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 15 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 18 and 19. In addition a ‘quick reference’ mark scheme is provided on page 17. 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. 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mental arithmetic 2000 quick reference mark scheme Practice question 11 150 12 189 13 8 14 14 Accept 15 6 Do not accept 18 Time: 5 seconds 90 1 330 2 3 2.30am 4.30pm 1.43pm Time: 15 seconds 16 5 1500 90 £ 14 or £ 14.00 m Time: 10 seconds 6 6% 2.30pm 30 4 4.30am 14.0 19 r 2 2 – or 19 5 Accept 2 17 or 2 – 5 minutes 7 6 8 50 9 18 4 5 6 20 60 90 270 21 Sourced from SATs-Papers.co.uk 60° 90° 110° 135° 240° 20 10 19 £1.11 or 111p or 111 or 1.11 or £1.11p http://www.SATs-Papers.co.uk 17 Mental arithmetic questions 1–15 Question Requirement Mark 1 90 1m 2 330 Additional Guidance 1m 3 1m Accept any other way of indicating the correct answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 4 1m 5 1500 1m 6 90 1m 7 6 1m 8 50 1m 9 270 1m 10 21 1m 11 150 1m 12 189 1m 13 8 1m 14 14 1m Accept 14.0 15 18 30 6 1m Do not accept 6% Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Mental arithmetic questions 16–20 Question Requirement Mark Additional Guidance 16 £14 1m Accept any clear indication of the correct cost. Allow variants of £14 such as £14.00 OR £14-00 OR £14 00 Do not accept £1400p OR £1400 17 2 1m Accept 19 r 2 or 19 remainder 2 OR 2 – 5 2 – OR 19 5 18 1m Accept any other way of indicating the correct answer, eg underlining. Do not accept if more than two numbers are indicated unless the child’s intention is clear. 19 1m Accept any other way of indicating the correct answer, eg underlining. Do not accept if more than one answer is indicated unless the child’s intention is clear. 1m Accept any clear indication of the distinction between pounds and pence. Allow variants of £1.11 such as £1-11 OR £1 11 OR 111p Do not accept £111 OR £111p OR 1.11p 20 £1.11 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 19 Test C questions 1–3 Question 1 Requirement Mark Award TWO marks for the correct answer of margarine Up to 2m 75g lard Additional Guidance 50g If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 200 ÷ 8 = 25 margarine = 3 x 25 lard = 2 x 25 OR the use of ratio, eg 8:3:2 80 : 30 : 20 40 : 15 : 10 200 : wrong answer : 50 200 : 75 : wrong answer 2 Award TWO marks for the correct answer of £7 OR £7.00 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Accept for TWO marks £7.00p OR £7 00 Accept for ONE mark £700 OR £700p as evidence of an appropriate method. 5% = 35 100% = 35 x 20 3 Award TWO marks for a correct drawing as shown below: Up to 2m Shape need not be shaded. Vertices must be within 2mm of the correct grid points. If the answer is incorrect, award ONE mark for any two of the three plotted points correctly placed OR a correctly enlarged shape drawn anywhere on the grid OR a shape showing a consistent error of one grid square in the location of the three plotted vertices, eg all plotted vertices one square too far to the right. 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Test C questions 4–10 Question Requirement Mark 4a Answer in the range £540 to £560 1m 4b 15 seconds Additional Guidance 1m 5 Award TWO marks for a correct answer of £3.50 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg I I 6 Accept for ONE mark £3.5 OR £350p OR £350 OR similar as evidence of appropriate working. adult + child is £17 ÷ 2 = £8.50 adult + 4 children is £19, so 3 children cost £10.50, so 1 child costs £10.50 ÷ 3 2 adults + 8 children = £38.00 6 children cost £21, so 1 child costs £21 ÷ 6 Award TWO marks for the correct answer of 150° Accept for TWO marks £3 50 OR £3-50 OR £3.50p Calculation need not be completed for the award of the mark. 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. 360 ÷ 36 = 10 15 x 10 7 Award TWO marks for the correct answer of 14 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. algebraic manipulation to reach 4u= 56 Accept for ONE mark trial and improvement showing two convergent attempts or two attempts which straddle the correct value and which are within the range 11–17 OR one error in the collection of terms. 8 23 35 1m Accept equivalent fractions. 9a 55° 1m If answers for 9a and 9b are transposed, but otherwise correct, award the mark for 9b only. 9b 25° 1m 10 Award TWO marks for the correct answer of 75 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Up to 2m Calculation need not be completed for the award of the mark. width = (50 – 40) ÷ 2 length = (50 – 5) ÷ 3 area = 5 x 15 OR (502 – 402) ÷ 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 21 Test C questions 11–14 Question Requirement Mark 11a 98 1m 11b T = 2R – 2 1m Additional Guidance OR R = T +2 2 Accept equivalent expressions, eg T=Rx2–2 T = 2 x (R – 1) R= T +1 2 Accept answers in words, eg I I 12 Award TWO marks for the correct – answer of 2 OR 0.4 OR 40%. 5 Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg ‘to get T, you times R by 2 and then you take away 2’; ‘it’s 1 less than R, then you double it and that’s T’. Accept for ONE mark, answers such as ‘2 in 5’ OR ‘2 out of 5’ OR ‘2 : 5’ as evidence of an appropriate method. Calculation need not be completed for the award of the mark. [(6 x 0.5) – 1] ÷ 5 13 Award TWO marks for the correct answer of 20 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. 28 = 35% of year 6 4 = 5%, so 25% is 4 x 5 14 Explanations which recognise that the product of probability and points distribution is the same for each player, eg I I 22 ‘There are 3 odds but each is two points that makes 6 for Jane, and there are only two even numbers but Sam gets 3 points for each, that’s 6 as well’; ‘If you spun it five times, Jane could get 6 points and so could Sam’. Sourced from SATs-Papers.co.uk 1m No mark is awarded for circling Yes alone. Award a mark for a correct and unambiguous explanation, even if No has been circled. Do not accept vague or arbitrary explanations, eg I ‘It’s a fair spinner’; I ‘They’ve got equal chance’; I ‘Jane has more numbers but gets less points’. http://www.SATs-Papers.co.uk Test C questions 15–16 Question 15 Requirement Award TWO marks for the correct answer of 27 AND 37 Mark Up to 2m If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Additional Guidance Accept the numbers in either order. Trial and improvement attempts must produce two pairs of numbers within the range of 20 to 50 with a difference of 10 Trial and improvement showing two convergent attempts 16 Award TWO marks for the correct answer of 64 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Up to 2m Calculation need not be completed for the award of the mark. 216 = 6 x 6 x 6 6 ÷ 1.5 = 4 number of cubes = 4 x 4 x 4 OR 1.5 x 1.5 x 1.5 = 3.375 number of cubes = 216 ÷ 3.375 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 23 This page may be used for your own notes Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk