Level 3 Certificate Mathematical Studies

Transcription

1 Level 3 Certificate Mathematical Studies 1350/2C Graphical Techniques Final Mark Scheme 1350 June 2017 Version/Stage: v1.0

2 Mark schemes are prepared by the Lead Assessment Writer 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 associates 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 associate understands and applies it in the same crect way. As preparation f standardisation each associate analyses a number of students scripts. Alternative answers not already covered by the mark scheme are discussed and legislated f. If, after the standardisation process, associates encounter unusual answers which have not been raised they are required to refer these to the Lead Assessment Writer. It must be stressed that a mark scheme is a wking 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.g.uk Copyright 2017 AQA and its licenss. All rights reserved. AQA retains the copyright on all its publications. However, registered schools/colleges f AQA are permitted to copy material from this booklet f their own internal use, with the following imptant exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third party even f internal use within the centre.

3 Key to mark scheme abbreviations M mark is f method m dm mark is dependent on one me M marks and is f method A mark is dependent on M m marks and is f accuracy B mark is independent of M m marks and is f method and accuracy E mark is f explanation ft F follow through from previous increct result CAO crect answer only CSO crect solution only AWFW anything which falls within AWRT anything which rounds to ACF any crect fm AG answer given SC special case OE equivalent A2,1 2 1 ( 0) accuracy marks x EE deduct x marks f each err NMS no method shown PI possibly implied SCA substantially crect approach c candidate sf significant figure(s) dp decimal place(s) No Method Shown Where the question specifically requires a particular method to be used, we must usually see evidence of use of this method f any marks to be awarded. Where the answer can be reasonably obtained without showing wking and it is very unlikely that the crect answer can be obtained by using an increct method, we must award full marks. However, the obvious penalty to candidates showing no wking is that increct answers, however close, earn no marks. Where a question asks the candidate to state write down a result, no method need be shown f full marks. Where the permitted calculat has functions which reasonably allow the solution of the question directly, the crect answer without wking earns full marks, unless it is given to less than the degree of accuracy accepted in the mark scheme, when it gains no marks. Otherwise we require evidence of a crect method f any marks to be awarded. 3

4 Errs Infmation from one operat is missing Inappropriate use of currency notation eg p with both the pence and the pounds symbol. E2 E1 f each valid err Igne any extras even if not valid The one-off payment f Operat D may have been wrong/possibly a decimal point is missing No time frame f rental cost/contract Improvement Name the operat Add infmation from the missing operat E1 f each valid suggestion f improvement Igne any extras even if not valid 1(a) Remove the p sign when sign is used Replace the one-off payment f Operat D with a crect value/ E2 Condone 99.99p State if the rental is per month per year State the duration of the contracts f each operat Add me infmation on allowances eg minutes, texts, downloads Include a separate table f pay-asyou-go Improvements are independent of errs eg infmation from one operat is missing, they don t have to state as improvement add infmation from missing operat Wk out how much he will pay overall sces E0 4

5 Alternative method ( ) ( ) 1(b) their 899.( ) ( ) their 26.( ) ( ) 629.( ) their 629.( ) ( ) and No and No AWRT Condone Alternative method ( ) ( ) 1(b) their 899.( ) ( ) their 26.( ) ( ) 629.( ) 700 their 629.( ) 70.( ) and compares with ( ) < and No 5

6 Alternative method ( ) 1(b) their their 26.( ) 22.( ) their ( ) 22.5 and No and and No 6

7 2(a) B1 Always Young ( 100%) ( 100%)and compares with100% OE SC2 f = = ( 100%) = 17.8% ( 100%) = 82.2% and Always Young is wrong/the statement is increct/it isn t quite one-fifth/ could be true it s nearly one-fifth 2(b) [18.9,19] % 13.5( ) and 13.7 seen Always Young is wrong the statement/headline is increct it isn t quite one-fifth could be true it s nearly one-fifth E1 E1 one crect statement/agreement OE Dynamic Youth Wking out the total number men women aged Men: Women: This can be implied in the crect number of men/women aged given below 7

8 Any value within range [ , ] Any value within range [ , ] Putting their values as a ratio with attempts to simplify it (i.e 1.09:1 etc) comparing it to 11:10 Ratio of 1.09:1 calculated and Dynamic Youth is crect/the statement/headline is crect E1 OE F Always Young, if candidates use 15.1%/12.2% leading to 19.2(...)% 15.1%/12.3% leading to 18.5(...)% can sce A0 E1 Q Answer Mark Comments 2(c) Any three of E3 E1 f each valid suggestion Display figures in tables e.g. give the actual figures f each quarter/year rather than the differences Ensure data is accurate befe publishing it (eg f 16-24, (men) (women) ) Igne any additional but increct suggestions SC1 (f two three errs identified with no/increct suggestions f improvement) Use a consistent time period throughout (eg f youth long term unemployment, the period was August October but in all other parts of the briefing paper, references were made f September November) Improve clarity of definitions OE Graph needs to be me accurate eg larger scale OE St into categies Axes need to be labelled Use me charts (to make infmation clearer) 8

9 a 10.4(384134) 3.62 B1 3b Bolt decreases his acceleration until around 7 seconds 70 metres B1 OE the graph shows a decrease in acceleration until around 7 seconds 70 metres 3c then Bolt decelerates (in the last 3 seconds 30 metres) B1 OE the graph shows deceleration (in the last 3 seconds 30 metres) Accept negative acceleration f deceleration F B1B1 the time distance must be mentioned in at least one answer 9

10 (c =) 4 B1 2 5= a c 4(a) 5= 4 a 5 = 4a + 2+ their 4 5= 4a + 6 a = OE Alternative method their( 0. 25) x + x+ their( 4) = their( 0. 25) x + x+ their ft follow through their a and c Overestimate B1ft ft their 6.47 with sced 4(b) Alternative method 2 (. ). 2 2 their their( 4 ) their( 0. 25) their ft follow through their a and c. Overestimate B1ft ft their ( ) with sced Q Answer Mark Comments 10

11 Draws tangent 5(a) Finds gradient of this line [0.3,0.45] Crect method to find gradient of their line Must be change in radius divided by change in time Decreases B1 OE 5(b) Use of volume fmula with at least one radius 5(c) Volume at t = 2: 44 Volume at t = 4: 84 11

12 their their84 their ft ft their values in 5(c) 5(d) Units: cm 3 /s cm 3 s 1 cubic cm per second cm 3 per second B1 12

13 Alternative method 1 VA = 4 + their( 20) t VB = ( t 1) 4 + their( 20) t = ( t 1) ( t = ) 3 ft ft 5(d) Alternative method 2 Crect graph f first balloon 5(e) Crect graph f second balloon Point of intersection used to find the time ( t = )3 ft ft 5(d) Alternative method 3 Creates tables of values f both balloons. Crect table Identifies identical volumes t V V ( t = )3 ft 13

14 14

15 0 B1 6(a) Q = 61 ( e 3 ) Q = (b) = ( ). A e A =

16 6(c) Exponential graphs in both sections Crect shapes Max of 5.7 B1 = 3 t 4 6(1 e ) Allow inequalities throughout t = = 3( t 1) e 6(d) t = = % of 2 = 0.8 so does satisfy requirement ft OE ft their with all M marks sced 16