Test A, Test B and Mental mathematics test 2003

1 20032 KEY STAGELEVELSMaKEY STAGEKEY STAGEKEY STAGEKEY STAGE2003 mathematics testsMark schemesTest A, Test B and Mental mathematics test3 5 First published in 2003 Qualifications and Curriculum Authority 2003 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication isprohibited 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, privatestudy, criticism or review, or by educational institutions solely for educational purposes, withoutpermission, provided full acknowledgement is in Great Britain by the Qualifications and Curriculum Authority under the authority andsuperintendence of the Controller of Her Majesty s Stationery Office and Queen s Printer of Acts of Qualifications and Curriculum Authority is an exempt charity under Schedule 2 of the CharitiesAct and Curriculum Authority83 PiccadillyLondonW1J the mathematics testsAs in 2002, external markers, employed by the external marking agencies undercontract to QCA, will mark the test papers.

2 The markers will follow the mark schemesin this booklet, which is supplied to teachers for booklet contains the mark schemes for the levels 3 5 tests A, B and mentalmathematics. Level threshold tables will be available on the QCA website on 23 June2003 ( ).General guidanceThe structure of the mark schemesThe marking information for each question is set out in the form of tables, which starton page 6 of this booklet. The question column on the left-hand side of each tableprovides 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 someoccasions, the symbol or may be shown in the mark column. The U indicatesthat there is a Using and Applying mathematics element in the question. The number,1 or 2, shows the number of marks attributed to using and applying mathematics inthis requirement column may include two types of information: a statement of the requirements for the award of each mark, with an indication ofwhether credit can be given for correct working; examples of some different types of correct additional guidance column indicates alternative acceptable responses, andprovides details of specific types of response which are unacceptable.

3 Other guidance,such as the range of acceptable answers, is provided as , for the Mental mathematics test, general guidance on marking is given onpage 18, together with a quick reference mark scheme. Applying the mark schemesIn order to ensure consistency of marking, the most frequent procedural queries arelisted on pages 2 and 3 with the action the marker will take. This is followed by furtherguidance 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 willapply the following guidelines in all appropriate, detailed guidance will be given in the mark scheme, which markerswill follow. If no guidance is given, markerswill examine each case to decide whether:the incorrect answer is due to a transcriptionerror;the child has continued to give redundantextra working which does notcontradictwork already done;the child has continued to give redundantextra working which doescontradict workalready so, the mark willbe so, the mark willbe so, the mark will notbe if.

4 The child s response isnumerically oralgebraically equivalent to the answer in the mark child s response doesnot match closely any ofthe examples child has responded in a non-standard appears to be amisreading affectingthe working. No answer is given inthe expected place, butthe correct answer isgiven response in the answer box is wrong, butthe correct answer isshown in the procedureMarkers will award the mark unless the mark scheme states will use their judgement in deciding whether the response corresponds withthe statement of the requirements given in the requirement column. Reference willalso be made to the additional guidance and, if there is still uncertainty, markers willcontact the supervising , formulae and written responses do not have to be set out in anyparticular format. Children may provide evidence in any form as long as its meaningcan be understood.

5 Diagrams, symbols or words are acceptable for explanations or for indicating a response. Any correct method of setting out working, howeveridiosyncratic, will be is when the child misreads the information given in the question and usesdifferent information without altering the original intention or difficulty level of thequestion. For each misread that occurs, one mark only will be one-mark questions 0 marks are two-mark questions that have a method mark 1 mark will be awarded if thecorrect 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 therequirement by annotating a graph or labelling a diagram elsewhere in the if ..The child s answer iscorrect but the wrongworking is correct response hasbeen crossed out andnot than one answeris answer is correct but,in a later part of thequestion, the child hascontradicted this procedureA correct response will always be marked as legible crossed-out work that has not been replaced will be markedaccording to the mark scheme.

6 If the work is replaced, then crossed-out workwill not be all answers are correct (or a range of answers is given, all of which arecorrect), the mark will be awarded unless prohibited by the mark scheme. If both correct and incorrect responses are given, no mark will be mark given for one part will not be disallowed for working or answers givenin a different part, unless the mark scheme specifically states marks awarded on the test paperIn the shaded margin there is a mark box for each question part. For the writtentests, the number of marks gained on each double page will be written in thetotal box at the bottom of the right-hand page. For all of the tests , the totalnumber of marks gained on each paper will be recorded on the front of the testpaper, and on the mark questions in the tests , even those not attempted by the child, will be markedwith a 1 or 0 entered in the mark two-mark question which is correct has 1 entered in both mark boxes.

7 A two-mark question which is incorrect, but which has sufficient evidence ofworking or method as required by the mark scheme will have 1 entered in thefirst mark box and 0 in the second. Otherwise 0 will be entered in both A carries a total of 40 marks . Test B also carries a total of 40 marks . Themental mathematics test carries a total of 20 2003 key stage 2 mathematics tests and mark schemes were developed bythe mathematics Test Development Team at Do not accept8 Where the sign is givenFor example: 7 , 7, Any unambiguous indication of the correct amount eg , 3 20 pence 3 20, 3,20, 3-20, 3:208 Incorrect or ambiguous use of poundsor penceeg 320, 320p 8 Incorrect placement of decimal point,or incorrect use or omission of 0eg 3 200, 32 0, 3-2-0 Marking specific types of questionResponses involving money Accept Do not accept8 Where the p sign is givenFor example: 40p 40p Any unambiguous indication of the correct amount eg or ambiguous use of poundsor 40ppAccept Do not accept8 Where no sign is givenFor example.

8 , 40p , 40p, 320p Any unambiguous indication of the correct amount eg , 3 20 pence 3 20, 3,20, 3-20, 3 , 320, 3 pounds 20 , .40p40, , .408 Incorrect or ambiguous use of poundsor penceeg 320, 320p 40, Do not accept8A time intervalFor example: 2 hours 30 minutes 2 hours 30 minutes Any unambiguous indication eg21/2hours, hours2h 30, 2h 30 min Digital electronic timeie2:308 Incorrect or ambiguous time , 2-30, 2, , hours, , 2h minAccept Do not accept8A specific timeFor example: 8:40am, 17:20 8:40am, 8:40, twenty to nine Any unambiguous, correct indication , , 08408 40, 8-40, 8,40 Unambiguous change to 12 or 24hour clockeg17:20 as 5:20pm or 17:20pm8 Incorrect , placement of separators,spaces, etc or incorrect use or omission of 0eg840, 8:4 , 084, 84 Responses involving timeAccept Do not accept8 Where units are given (eg kg, m, l)For example.

9 Any unambiguous indication of the correct , 600g8 Incorrect or ambiguous use of unitseg8600kgkgResponses involving measuresNoteIf a child 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 theconditions listed a child 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 otherwiseindicated in the mark A questions 1 4 QuestionRequirementMarkAdditional guidance1a1b6524001m1m2 Arrow drawn to 350, as shown:1mArrow should be closer to 350 thanto 325 or 375 for award of the arrows not originating fromthe centre of the completed as shown:1mAccept slight inaccuracies in drawingprovided the intention is numbers circled as shown:1mDo notaward the mark if additionalincorrect numbers are alternative unambiguousindications, eg ticks, numbers crossedor A questions 5 10 QuestionRequirementMarkAdditional guidance51111m6a6b 112 161m1mDo notaccept 36 or Tuesday or marked as shown:1mBoth squares must be correctly alternative indications, egsquares ticked, crossed or completed as shown:1mBoth numbers must be correct for theaward of the explanation which recognises thatthe numbers in circles are multiples of5, eg Because all the circles aremultiples of 5 ; Because 35 is in the five timestable.

10 1m1mBoth numbers must be correct for theaward of the may be written in not accept vague or arbitraryexplanations, eg Because you keep on adding 5 ; Because the circles are 5 moreeach time .U18 Test A questions 11 15 QuestionRequirementMarkAdditional guidance11a11b42111m1m12 Award TWOmarks for the correctanswer of 250 If the answer is incorrect, award ONEmark for evidence of appropriateworking, eg 150t5e7501000m750ewrong answerUp to2mCalculation must be performed forthe award of 4561m14a14bTeri51m1mAccept recognisable notaccept TWOmarks for all three shapenames written in the correct order asshown: rectangle kite squareIf the answer is incorrect, award ONEmark for two shape names written inthe correct to 2mAccept recognisable the first shape, accept oblong the third shape, accept rhombusor parallelogram but do A questions 16 18 QuestionRequirementMarkAdditional guidance16 Award TWOmarks for all threenumbers correct as shown.