[PDF] 2000 Key Stage 2 Year 6 - Mathematics Test A B Mental Levels 3-5 Mark Schemes.pdf | Plain Text

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/

1 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:  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. 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.

2 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 child has continued to give redundant extra working which does not contradict work already done; the child has continued to give redundant extra working which does contradict work already done.If so, the mark will be awarded. If so, the mark will be awarded. If so, the mark will not be awarded. What if … The child’s response is numerically or algebraically equivalent to the answer in the mark scheme. The child’s response does not match closely any of the examples given. The child has responded in a non-standard way. There appears to be a misreading affecting the working. No answer is given in the expected place, but the correct answer is given elsewhere. The response in the answer box is wrong, but the correct answer is shown in the working. Marking procedure Markers will award the mark unless the mark scheme states otherwise. Markers will use their judgement in deciding whether the response corresponds with the statement of the requirements given in the ‘Requirements’ column. Reference will also be made to the additional guidance, and if still uncertain, markers will contact the supervising marker. Calculations, formulae and written responses do not have to be set out in any 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. This is when the child 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(s). Where a child has shown understanding of the question, the mark(s) will be given. In particular, where a word or number response is expected, a child may meet the requirement by annotating a graph or labelling a diagram elsewhere in the question.

3 What if … The child’s answer is correct but the wrong working is shown. The correct response has been crossed out and not replaced. More than one answer is given. The answer is correct but, in a later part of the question, the child has contradicted this response. Marking procedure A correct response will always be marked as correct. 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. 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. 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. 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.

4 Test A questions 1–3 Question Requirement Mark Additional Guidance 1 Award TWO marks for the diagram completed correctly as shown. If the answer is incorrect, award ONE mark for at least two lines correctly drawn. Up to 2m 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. 2a 2b 350 112 1m 1m 3 C 1m Accept alternative, unambiguous indications of the answer such as a cross on shape C or a line from C to the hole. 3 x 6 2 x 25 10 x 5 9 x 2 5 x 8 50 x 2 9 x 10 3 x 30 5 x 20 10 x 4

5 Test A questions 4–8 Question Requirement Mark Additional Guidance 5 620 1m 6a 6b Award TWO marks for the correct answer of 74p OR £0.74 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 148 ÷ 2 = wrong answer Award TWO marks for the correct answer of 22p OR £0.22 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 2 x 85 – 148 = wrong answer Up to 2m Up to 2m 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. Accept for TWO marks 22 OR 0.22 OR £0.22 OR .22 OR £.22 OR £.22p Accept for ONE mark £22p OR 0.22p OR £22 as evidence of appropriate working. Calculation must be performed for the award of ONE mark. 7a 7b 107 53 1m 1m Answers must be calculated in each case, eg do not accept 15 + 42 + 50 as the answer to 7a. 8a 8b 5 – 3 OR minus 3 1m 1m 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. 4 Award TWO marks for all three numbers placed in the regions as shown. If the answer is incorrect, award ONE mark for two numbers correctly placed. Up to 2mDo 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.

6 Test A questions 9–14 Question Requirement Mark Additional Guidance 10a 10b 5 18 1m 1m 12 Any two numbers such that Sara’s number is thirteen greater than Leon’s, eg Leon 10 Sara 23 1m Accept decimals, fractions, negative numbers and zero. 11 1m Accept alternative indications, eg the numbers crossed or underlined. 13 630 1m 14a 14b 3 AND 4 An explanation which recognises that more than half of the spinner sections have 2 in them, eg  ‘More than half are twos’;  ‘There are five twos out of the nine’;  ‘There are more twos than all the other numbers altogether’;  ‘Because 2 has a probability of’. 5 – 9 1m 1m Accept numbers in either order. Do not accept vague or arbitrary explanations, eg  ‘There’s more twos than any other number’;  ‘It’s the easiest one to get’;  ‘Twos are the most’. 9 Award TWO marks for the correct answer of A, C, E. Accept for ONE mark either three correct letters and one additional letter OR two correct letters and up to one incorrect letter. Up to 2m Accept letters in any order. Accept alternative, unambiguous indications, eg ticks or mirror lines drawn on the correct shapes.

7 Test A questions 15–19 Question Requirement Mark Additional Guidance 16a 16b width = 22 height = 17 1m 1m If the correct answers are transposed, award the mark for 16b only. 17a 17b An answer in the range 21 to 26 inclusive. 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  ‘Tony found 20 and Gemma found only 18’;  ‘Quarter of 80 is more than half of 36’. 1m 1mNo mark is awarded for an answer which is not a whole number. No mark is awarded for circling the correct answer of ‘Tony’. Do not accept vague or arbitrary explanations, eg  ‘Tony found loads more’;  ‘Gemma found more but Tony’s amount is bigger’. Accept a correct, unambiguous explanation even if the wrong name is circled. 18 OR 1m Accept alternative indications such as the numbers crossed or underlined. Do not accept 1000 circled twice. 19 54 1m Accept figures written on the diagram, provided a total is given. 15a 15b Award TWO marks for the correct answer of £2.10 OR 210p If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 350 ÷100 = 3.5 3.5 x 60 = wrong answer Award TWO marks for the correct answer of 250 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 200 ÷80 = 2.5 100 x 2.5 = wrong answer. Up to 2m Up to 2m Accept for TWO marks £2.10p OR 210 OR 2.10 Accept for ONE mark £2.1 OR £210 OR 2.10p as evidence of appropriate working. Calculation must be performed for the award of ONE mark. Calculation must be performed for the award of ONE mark.

8 Test A questions 20–23 Question Requirement Mark Additional Guidance 22a 22b (11,9) (15,3) 1m 1m Accept answers written on the diagram with or without brackets and commas. Co-ordinates must be in the correct order. 23 Explanation which indicates that 300 can be added to 195, eg  ‘It’s 3 x 100 more’;  ‘You add another 300 on’;  ‘3 x 65 = 195, 3 x 100 = 300 so it’s 495’;  ‘100 has been added to 65, so multiply 100 by 3 and add it to 195’. 1m An answer to the multiplication is not required and no mark is awarded for it. Do not accept vague answers such as:  ‘You work it out’;  ‘Do a sum’;  ‘It’s nearly the same except it has 100 in front of it’. 20 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  ‘it doesn’t divide by 40’;  ‘140 isn’t in it so 2140 won’t be’;  ‘it will go 2000, 2040, 2080, 2120, 2160 . . . so there’s no 2140’. 1m No mark is awarded for circling ‘No’ alone. Do not accept vague or arbitrary explanations, eg  ‘It’s odd, so it won’t be there’;  ‘It’s not part of the sequence’. 21 4.85 1m

9 Test B questions 1–3 Question Requirement Mark Additional Guidance 1 One line drawn as shown. 1m Line does not have to touch circles, provided the intention is clear. Accept alternative, unambiguous ways of indicating the answer, eg 225 + 475 = 700 21m 3a 3b Middle clock joined to 6:35 Lower clock joined to 11:10 1m 1m 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.

10 Test B questions 4–9 Question Requirement Mark Additional Guidance 5a 5b 32 5 1m 1m 7 Any two numbers greater than 100 with a difference of 208, eg 1m Accept numbers with four or more digits. 8a 8b 8c 9 Friday 40 1m 1m 1m Accept recognisable mis-spellings. Accept 9:00 circled. 9a 9b £22.50 OR 2250p Award TWO marks for the correct answer of 42 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 840 ÷20 OR 8.4 ÷0.2 1m Up to 2m 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. Answer need not be obtained for the award of the mark. No method mark is awarded for 8.40 ÷20 alone. 6 Diagram completed as shown: 1m Vertices must be within 2mm of correct points. Do not penalise lines drawn without a ruler, provided the intention is clear. 4 181 1m

11 Test B questions 10–12 Question Requirement Mark Additional Guidance 10a 10b A number in the range of 270 to 280 inclusive. Award TWO marks for the correct answer of £135 OR £135.00 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 2.25 x 60 1m Up to 2m Accept for TWO marks £135.00p OR £135 00 Accept for ONE mark £135p as evidence of appropriate method. Calculation need not be performed for the award of the mark. 11 Any rectangle with an area of 14 squares, eg 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  ‘Because if you do 99 + 99 you only get a three-digit number’;  ‘If you add any 2 two-digit numbers, you will get a three-digit number or a two-digit number’. 1m No mark is awarded for circling the ‘Ye s’ alone. Do not accept vague or arbitrary explanations such as  ‘The numbers aren’t big enough’;  ‘It doesn’t work’. If ‘No’ is circled but a correct unambiguous explanation is given then award the mark.

12 Test B questions 13–15 Question Requirement Mark Additional Guidance 13 Award TWO marks for a correct answer as shown below: 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. Up to 2m Accept alternative, unambiguous indications, eg ‘Y’ or ‘N’. 14 1000 OR 1000.5 1 – 2 1m Accept the answer in words, eg  ‘1000 and a half’. 15 Award TWO marks for the correct drawing as shown below: 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 Up to 2m Shape need not be shaded. Accept slight inaccuracies in drawing, provided the intention is clear.

13 Test B questions 15 (continued)–16 Question Requirement Mark Additional Guidance 15 (continued) 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 1m

14 Test B questions 17–19 Question Requirement Mark Additional Guidance 17 Award TWO marks for the table correctly completed as shown: If the table is not correctly completed award ONE mark for any two out of three ticks correct. Up to 2mDo not accept any line which has two or more ticks in it. Accept unambiguous alternatives to ticks, eg ‘yes’. 18a 18b 98 8 1m 1m 19a 19b 19c 40 Answer in the range 12 to 13 km inclusive 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  ‘She did about 40 km and it was about 22 in the first hour’;  ‘Half and half would be 20-20, but she does more than 20 then less than 20’;  ‘It goes to 23 in the first hour’. 1m 1m 1m Do not accept vague or arbitrary explanations, eg  ‘She got tired in the second half’;  ‘It’s marked on the graph’;  ‘There’s more crosses in the first hour than the second’;  ‘The gaps are further apart’.

15 Test B questions 20–22 Question Requirement Mark Additional Guidance 20 Award TWO marks for the boxes ticked and crossed as shown: 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. Up to 2m 21a 21b Award TWO marks for the correct answer of 200 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 320 ÷8 x 5 Award TWO marks for the correct answer of £4.60 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 44.85 ÷9.75 Up to 2m Up to 2m Calculation need not be performed for the award of the mark. Accept for TWO marks £4 60 OR £4-60 OR £4.60p 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. 22 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  ‘It’s half the turn of the spinner on each’;  ‘They are both 180°’;  ‘On both spinners the probability of scoring 1 is’. 1 – 2 1m Do not accept vague or arbitrary explanation, eg  ‘It’s one out of three on each’;  ‘1 is the same space on both’;  ‘They are both equally good at spinning’;  ‘They have an equal chance of spinning 1’.

16 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.

17 Mental arithmetic 2000 quick reference mark scheme Practice question Time: 5 seconds Time: 10 secondsTime: 15 seconds 18 11 150 12 189 13 8 14 14 1 90 2 330 4 30 5 1500 m 6 90 minutes 16 £ 14 or £ 14.00 17 2 7 6 8 50 9 270 10 21 3 2.30am 4.30pm 4.30am 1.43pm 2.30pm Accept 14.0 Accept 19 r 2 or or 19 2 – 5 2 – 5 15 6 Do not accept 6% 18 4 5 6 20 60 90 19 60°90°110° 135°240° 20 £1.11 or 111p or 111 or 1.11 or £1.11p

18 Mental arithmetic questions 1–15 Question Requirement Mark Additional Guidance 1 90 1m 2 330 1m 31m 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 30 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 6 1m Do not accept 6%

19 Mental arithmetic questions 16–20 Question Requirement Mark Additional Guidance 20 £1.11 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 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 OR 19 2 – 5 2 – 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.

20 Test C questions 1–3 Question Requirement Mark Additional Guidance 1 Award TWO marks for the correct answer of margarine 75g lard 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 Up to 2m 2 Award TWO marks for the correct answer of £7 OR £7.00 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 5% = 35 100% = 35 x 20 Up to 2m Accept for TWO marks £7.00p OR £7 00 Accept for ONE mark £700 OR £700p as evidence of an appropriate method. 3 Award TWO marks for a correct drawing as shown below: 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. Up to 2m Shape need not be shaded. Vertices must be within 2mm of the correct grid points.

21 Test C questions 4–10 Question Requirement Mark Additional Guidance 4a 4b Answer in the range £540 to £560 15 seconds 1m 1m 5 Award TWO marks for a correct answer of £3.50 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg  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 Up to 2m Accept for TWO marks £3 50 OR £3-50 OR £3.50p Accept for ONE mark £3.5 OR £350p OR £350 OR similar as evidence of appropriate working. Calculation need not be completed for the award of the mark. 6 Award TWO marks for the correct answer of 150° If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 360 ÷36 = 10 15 x 10 Up to 2m Calculation need not be completed for the award of the mark. 8 23 35 1m Accept equivalent fractions. 9a 9b 55° 25° 1m 1m If answers for 9a and 9b are transposed, but otherwise correct, award the mark for 9b only. 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 width = (50 – 40) ÷2 length = (50 – 5) ÷3 area = 5 x 15 OR (50 2– 40 2) ÷12 Up to 2m Calculation need not be completed for the award of the mark. 7 Award TWO marks for the correct answer of 14 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg algebraic manipulation to reach 4 u= 56 Up to 2m Calculation need not be completed for the award of the mark. Accept for ONE mark trial and improvement showing twoconvergent 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.

22 Test C questions 11–14 Question Requirement Mark Additional Guidance 11a 11b 98 T = 2R – 2 OR R = T+2 2 1m 1m Accept equivalent expressions, eg T = R x 2 – 2 T = 2 x (R – 1) R = + 1 Accept answers in words, 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’. T 2 12 Award TWO marks for the correct answer of OR 0.4 OR 40%. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg [(6 x 0.5) – 1] ÷5 2 – 5 Up to 2m 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. 13 Award TWO marks for the correct answer of 20 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 28 = 35% of year 6 4 = 5%, so 25% is 4 x 5 Up to 2m Calculation need not be completed for the award of the mark. 14 Explanations which recognise that the product of probability and points distribution is the same for each player, eg  ‘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’. 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  ‘It’s a fair spinner’;  ‘They’ve got equal chance’;  ‘Jane has more numbers but gets less points’.

23 Test C questions 15–16 Question Requirement Mark Additional Guidance 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 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 Up to 2m Calculation need not be completed for the award of the mark. 15 Award TWO marks for the correct answer of 27 AND 37 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Trial and improvement showing two convergent attempts Up to 2m 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

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