Version : 27 June General Certificate of Secondary Education June Foundation Unit 1. Final. Mark Scheme

Transcription

1 Version : 27 June 202 General Certificate of Secondary Education June 202 Mathematics Foundation Unit 4360F Final Mark Scheme

2 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all examiners participate in and is the scheme which was used by them in this examination. The standardisation process ensures that the mark scheme covers the students responses to questions and that every examiner understands and applies it in the same correct way. As preparation for standardisation each examiner analyses a number of students scripts: alternative answers not already covered by the mark scheme are discussed and legislated for. If, after the standardisation process, examiners encounter unusual answers which have not been raised they are required to refer these to the Principal Examiner. It must be stressed that a mark scheme is a working document, in many cases further developed and expanded on the basis of students reactions to a particular paper. Assumptions about future mark schemes on the basis of one year s document should be avoided; whilst the guiding principles of assessment remain constant, details will change, depending on the content of a particular examination paper. Further copies of this Mark Scheme are available from: aqa.org.uk Copyright 202 AQA and its licensors. All rights reserved. Copyright AQA retains the copyright on all its publications. However, registered schools/colleges for AQA are permitted to copy material from this booklet for their own internal use, with the following important exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third party even for internal use within the school/college. Set and published by the Assessment and Qualifications Alliance. The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number ) and a registered charity (registered charity number ). Registered address: AQA, Devas Street, Manchester 5 6EX.

3 UMS conversion calculator The following abbreviations are used on the mark scheme: M M dep A B Q ft SC [a, b] Method marks awarded for a correct method. A method mark which is dependent on a previous method mark being awarded. Accuracy marks awarded when following on from a correct method. It is not necessary always to see the method. This can be implied. Marks awarded independent of method. Marks awarded for quality of written communication. Follow through marks. Marks awarded for correct working following a mistake in an earlier step. Special Case. Marks awarded for a common misinterpretation which has some mathematical worth. Or equivalent. Accept values between a and b inclusive. 3

4 UNIT FOUNDATION TIER 4360F a 50 B b Bicycle B c 35 and 25 chosen or 35 their 25 or their A 3 2 and 2 2 chosen or 3 2 their 2 2 or their or symbol d Attempts a suitable graph with 3 or 4 bars Heights correct 50, 35, 20, 25 Numerical axis correctly scaled Bar chart with labels and equal width bars and equal gaps A2ft B Q Condone vertical line graph ft their part (a) A one error ± ½ small square Linear between 0 and their tallest bar, ignore scaling beyond that Strand (ii) Labels may be eg frequency or number of people and car, bus, bicycle, tram Must have gaps 2a There are more 4s than others or 4 is the most common B two 4s, one of everything else 2b 28 B 2c At least 5 values correctly rounded to nearest 0 20 A 0, 0, 20, 20, 20, 20 3a Impossible Unlikely B2 B one correct in correct position SC 0 and 6 3b 0 C A B 2 B3 Accept clear indication of C at 8, A at 8 2 and B at 8 5 B2 any two correct B any one correct 4

5 4a 2005 B Condone 05 but not 205 4b 2009 B Condone 09 but not 209 4c 0 (billion) chosen B 9 their 0 (billion) A ft Ignore any attempt to use zeros for billion i.e. accept digits 0 eg their or or their 0 2.2(...) Ignore any attempt to use zeros for billion their 0 must be in the interval [88, 22] but not 00 Condone or for full marks ft their 0 in the interval [88, 22] but not 00 Must have appropriate place value SC2 Digits 495 5a (0) B 5b (0).422 B ft ft any value 4 decimal places or more 6a 5 B 6b 94 and 60 chosen or 94 their 60 or their A B equivalent fraction to eg 50 7a 3 0 B2 or n B with its correct simplest form 50 5

6 7b At least one product attempted or one correct value (not 0 or 8) (= 2) 3 8 (= 24) 4 5 (= 60) 5 products attempted and added dep Allow 4 products if 0 not shown 04 A eg 4 more SC2 7 8a (= 245) Allow one error or omission their total 5 Condone A SC2 97 8b 4 40 (= 640) or 4 0.4(0) (= 6.4(0)) 60 4(= 9) and their 9 0 (= 90) or their 9 0. (=.9(0)) their 6.40 their.90 or their 640 their 90 dep 4.50 Q dependent on M2 Strand (i) Do not accept 4.5 SC SC 9.9 or 990 SC SC 22. or 220 9a Interview or questionnaire or (phone / internet / postal) survey or suitable voting method (e.g. everyone presses buttons or uses ballot boxes) B 9b Which (of the routes) do you prefer? B Option A, Option B, don t know B eg accept better for prefer 9c A SC B2 B 0.2 B 4 out of 5 B ratio 4: seen Condone ratio :4 seen if clearly shown as not oversleep : oversleep 6

7 Continuous and sample and primary (and none incorrect) B2 B any two correct and up to one incorrect (= 3) 20 ( 5) or 70 seen dep 70 seen is M2 but not from their A SC2 490 or 40 Alternative method 50 : : 40 dep Or equivalent ratio with a bigger difference 350 A SC2 490 or 40 3 Plotted at midpoints 700, 900, 00 and 300 Correct heights 0, 46, 32 and 2 within class boundaries and correctly joined with straight lines B B ± ½ small square ± ½ small square Ignore any lines before first and after last plot SC Histogram with correct heights in correct class boundaries 7