Version : 1.0: General Certificate of Secondary Education March Foundation Unit 2. Final. Mark Scheme

Transcription

1 Version :.0: 0.2 General Certificate of Secondary Education March 202 Mathematics Foundation Unit F 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 64472) and a registered charity (registered charity number 074). Registered address: AQA, Devas Street, Manchester 5 6EX

3 Mark Scheme GCSE Mathematics, 4602F March 202 UMS conversion calculator The following abbreviations are used on the mark scheme: M M dep A B Q ft SC oe [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.

4 Mark Scheme GCSE Mathematics, 4602F March 202 UNIT 2 FOUNDATION TIER 4602F a (2, 5) B b B plotted at (8, ) B c (5, ) B2 ft ft from their B B ft for number correct or point shown on grid 2a 2 and 5 B2 2b 6 and 0 B2 2c 6 and 25 B2 B for correct (and incorrect) or 2 correct and incorrect B for correct (and incorrect) or 2 correct and incorrect B for correct (and incorrect) or 2 correct and incorrect 98 B2 B for attempt at correct method of subtraction or adding on eg 8 in units column or sight of decomposition (+00) (= 8.5(0)) or 2 5.5(0) (=.(00)) 29.5(0) A 4.5(0) B ft ft from their 29.5(0) 25 Complete method shown Q Strand (iii) For finding cost of 2 adult tickets + 2 child tickets and subtracting and 5 B2 Either order B for 2 numbers adding to 200 B for 2 numbers with a difference of 0 B for correct 6a Add 6 or +6 or plus 6 B oe 6b 8 and 44 B ft ft from their rule oe eg use 6n + 2 6c or Evidence of subtracting 6 from 02 from 02 6 ( 6) 290 A ft ft from their rule 4

5 Mark Scheme GCSE Mathematics, 4602F March or 8(p) or ( )0.8 their ( ) (= 8.6(0)) 0 their 8.6(0).40 Q Allow mixed units eg 8(p) + ( ) ( ).80 Strand (i) Correct notation Do not accept.4 8a 7.5 Not equivalent to 4 8b or 0.75 or 75% 4 and 0 Not equivalent to 8c 25 Not an exact square root 8d 5 Not a prime number or other valid reason B oe or other valid reason B oe or other valid reason B oe or other valid reason B eg only multiple of or only multiple of 5 9 eg 4 4 (l) = (l) oe 20 4 or 5 or or 6 oe their 5 4 No and 6 A oe eg No and and 2 = 5 and 5 and 0 = 5 and and 2 = 5 B2 Either order for each pair B for 2 pairs with a total of 5 B for 2 pairs with same correct total eg 5 and 2 = and 0 = or 7 and 0 = 7 5 and 2 = 7 B for correct pairs with incorrect totals 5

6 Mark Scheme GCSE Mathematics, 4602F March 202 a 24 B b 7c + d or d + 7c B2 B for 7c or d Do not ignore further working c 4 and 5 2 or 2 and 0 oe 2 A 2 8 or 8 00 or 8 00 or 8(%) or 7.(5%) 0.7(5) 76 or and 200 or 7.(5%) and 8(%) Both numbers in same format and correct conclusion from their values A Q oe Strand (ii) Dependent on and correct method(s) for conversion(s) SC for = or 2.5% a 0 5 B b 20 B B2 for 8 and 25 seen B for 8 or 25 seen 4 2 or or 4 oe or seen 4 8 = 4 or 4 = 6 or = 6 or 2 or 6 (= 8) dep or 2 4 seen their or 4 or dep 24 A Calculation leading to a final answer of 24 SC for 2 SC2 for 72 ( )6 = 2 ( )9 then 9 4 = 2 is SC 6

7 Mark Scheme GCSE Mathematics, 4602F March 202 5a C = 0d + 20 B 5b Plots at least two correct points (± sq) 2 Correct line from (0, 0) at least to intersection at (5, 70) A 5c First Cars B ft Strict ft Cheaper (check graph) Graph lower down Roys Rentals = 90 and First Cars = 86 B ft oe 6a 2 x = 5 or 2 x = 5 oe 4 x = 5 x = their 5 2 or x = 2 their 5 or 4 5 = x = x x or 5 4 = A 6b t = s 4 or s = t + 4 oe s 4 s 4 (t =) or (t =) 4 s or (t =) A oe SC (t =) 4 s or (t =) s + 4 7

8 Mark Scheme GCSE Mathematics, 4602F March or 60.(0) 84 or 66 or 50 Money out their 50.4 (= 20) dep oe Required total dep on first sales income 00.2(0) or 40.6(0) 20 or 64 or 84 Money in after 40 packs sold (their 20 their 84) 20 dep dep on 2nd and rd Money needed 20.0 A Do not accept. Alternative method or 60.(0) 84 or 66 or 50 Money out 00.2(0) or 40.6(0) 20 or 64 or 84 Money in after 40 packs sold their 84 their 50 dep 4 if correct dep on Profit after 40 st and 2nd packs sold (0.4 their 50 their 4) 20 dep dep on rd Money needed 20.0 A Do not accept. Alternative method or 60.(0) 84 or 66 or 50 Money out or or 20 or 56 Profit so far (0.4 their 50 their 56) 20 dep 0.20 if correct dep Profit per pack on st and 2nd needed their dep dep on rd Cost price + profit per pack.0 A Do not accept. Alternative method 00.2(0) or or 84 or 6 Profit 40.6(0) or 60.(0) 64 or 66 or 2 Profit their 6 + their ( 2) dep 4 if correct dep on Profit after 40 st and 2nd packs sold (0.4 their 50 their 4) 20 dep dep on rd Money needed 20.0 A Do not accept. 8