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1 Functional Skills Mathematics Level 2 assessment September 2015 Version 1.0 Marking scheme ONLINE V2 Level 2 Sample Paper 4 Mark Represent Analyse Interpret Open Fixed S1Q S1Q S1Q S1Q S1Q S2Q S2Q S2Q S2Q S2Q S3Q S3Q S3Q S3Q S3Q S3Q S3Q S3Q % 31% 39% 83% 17%

2 Guidance notes for Sample Paper Mark Schemes Level 1 and Level 2 Notes: The mark scheme has been carefully constructed to avoid penalising candidates repeatedly for similar errors: 1) Principle of follow through applies throughout unless otherwise stated. This allows the candidates to gain credit for subsequent correct calculation based on a previous incorrect answer. 2) Units or numbers shown in brackets on the mark scheme are not required for the awarding of mark/s on the candidate s paper. However, if a candidate states units they must be correct: eg 24(cm) means accept 24cm or 24 but not 24m eg ( )72.5(0) means accept or 72.5 or or ) URT means unrounded, rounded or truncated; the underlining defines the acceptable limit of approximation: eg URT (U is the unrounded version) the following are acceptable: 860 (T) or 861 (R) (T) or (R) or (T) or (R) or (R) or (U) but not eg 900. Total marks available: 75 Indicative pass mark: 45 (or above/below)

3 NB incorrect money format given as an answer should only be penalised once on the whole paper and will lose 1 mark. Do not penalise any subsequent incorrect format. Section 1 Question Total marks Marks Marks awarded for Q1 3 1 evidence of systematic/methodical plan indicated in sequence eg sequential list or simple flow chart or spidergram/mindmap or ordered text or combination of suitable types. 2 content to include reference to at least THREE of: team - managers team - fitness team - same scores activities - swimming activities - fixed times, intro, lunch, prizes activities - to fit gaps activities - total times costs discount 1 reference to at least TWO of the above Q2 13 Summary of expected solution for Q2 Team selection meeting criteria; activity choices to complete timetable gaps; costs of activities and discount. team selection these marks may be awarded if answers seen in Q3 1 suitable teams of 5 employees including at least one manager 2 similar combined fitness level scores ie 16 and 17 matching team members individual scores individual scores do not have to be stated 1 combined level scores of 15 and 18 matching team members individual scores example Team A Team B Abbie (2) Alvin (3) Isaac (5) Lora (5) Ash (5) Shilen (4) Nita (2) Frank (2) Pete (2) Prita (3) Total fitness Total fitness 16 score score 17 activity choice these marks may be awarded if answers seen in Q3 4 3 additional activities chosen for the morning session AND 1 additional activity chosen for the afternoon session eg morning - fright wall, mud flume, power fan; afternoon - raft building 3 4 additional activities chosen that take 5 hours in total without morning and afternoon sessions identified 2 4 or 5 additional activities chosen that take 5 hours including activities not suitable for non-swimmers ie wipe out course and/or paddle boarding or 5 additional activities chosen taking 6 hours not including archery 1 additional activities chosen with one timing/calculation error eg incorrect time for one activity eg half hour or 15 minute gap left eg missing out lunch break eg incorrect totalling of times listed cost 2 correct total cost for their chosen activities AND archery eg for 3xA, 1xB and 1xC 1 correct total cost for their chosen activities without archery

4 or complete correct method, including archery, with one calculation error Note: correct method must include values in working shown 2 correct value for their total costs with 15% discount eg for correct value for 15% of their total cost eg for or method for 85% eg x0.85 seen or x eg their total cost total cost x0.15 check 2 no marks for repeat calc a complete correct check of any original calculation seen using a different method eg a reverse calculation OR a calculation using approximate values 1 a correct check which is not finished Q3 5 1 team members listed clearly within a structure suitable for a notice 1 timetable structure with rows and columns and appropriate delineation showing activities AND times with headings / labels for times and activities 1 given data ie intro, lunch and prizes clearly shown with times 2 all data entered for their activities AND times 1 their data entered with one error or omission Q4 1 1 suitable reason based on results or data given eg all activities are suitable for non-swimmers eg my combination (of activities) fills the morning and afternoon up Q5 3 3 three comments relevant to one or more review prompts ie plan and methods or sensible answers or difficulties or other information or tackling a similar problem some acceptable comments eg My plan worked in order so I picked activities and then I knew how much they cost eg My answer is sensible because is a reasonable amount for a training day eg I found it difficult to fit activities into exact time slots on my timetable eg It would be helpful to have the actual prices in the table (instead of A, B and C) eg Next time I wouldn t do anything differently because I had two teams with equal fitness and 5 activities that fit exactly 2 two comments 1 one comment some unacceptable comments eg My plan worked well. (ie unqualified) eg My methods worked well. (ie unqualified) eg My answers seemed sensible. (ie unqualified) eg I found 1B difficult. (ie unqualified) eg There was not enough space in 1D to write my answers. (inappropriate) eg I had all the information I needed. (ie unqualified) eg I would do nothing differently. (ie unqualified) Total for Section 1 25 marks

5 Section 2 Question Total marks Marks Marks awarded for Q1 9 1 suitable scale chosen eg 1:200 or 1cm=2m do not accept smaller than 1:500 (1cm=5m) 1 scale indicated clearly, or arrow drawn on graph paper to indicate 2m or 10m do not accept dimensions drawn on diagram as substitute for a scale 3 outline of food zone drawn to scale ± ½ small square 2 any four sides drawn to scale ± ½ small square 1 any two sides drawn to scale ± ½ small square 1 width of access road drawn to scale ± ½ small square 2 width of space for food vans drawn 4m in from edge of zone to scale ± ½ small square but not along or across road 1 any one section 1 access road and food van space and seating section labelled Q2 2 2 A complete correct check of one of the lines in 2A using their scale eg for scale 1:200 46m 200 = 23cm or 1 square = 2m so 5 squares = 10m 1cm = 2m AND 23cm = 46m 1 A partial check eg for scale 1:200 1cm = 2m or 23cm = 46m or 1 square = 2m or 5 squares = 10m Q m accept m URT WITH UNITS (m) accept (m) URT (m) URT or complete correct method with one calculation error 2 substitution into formula using their converted value for L 1 285(inches) from 8.74m 1 their answer rounded up to the next whole metre eg 9(m) Q for value for length of side divided by rounded length for pitch follow through Q (pitches) or (pitches) URT 1 39(m) or 43(m) seen for longest length of seating section or complete correct method with one calculation error Q (m 2 ) follow through Q1 2 any area that forms part of the solution eg 5 x 10 = 50 or 39 x 10 = 390 or 20 x 5 = 100 or 34 x 10 = 340 or 39 x 20 = 780 or complete correct method with one calculation error 1 a method for finding one of the smaller areas eg 5 x 10 2 correct decision and suitable explanation for their area with reference to comparative values eg yes AND 440 > 375 (from % = 375) 190 > 125 ( = 190 > 50% of 250) 76% > 50% ( = 190 then = 0.76) 147 > 125 (440 3 = 147) follow through 2A (may give a no decision) 1 correct explanation with wrong decision

6 S2Q1 Scaled lengths for diagram A 18m or 375m 2 seen anywhere Total for Section 2 = 25 marks Scaled length in centimetres B 46m F 34m E 10m Scale 1:200 1:250 1:400 1:500 A B C D E F Road D 12m Vans C 28m

7 Question Total marks Marks Marks awarded for Section 3 Q correct averages corresponding to their choice Design of bottle Fragrance Hands clean Mean Median or 9 Mode Q2 5 no marks for line graph, pie chart, or table 3 one correct average corresponding to their choice or 3 consistent correct averages if no choice indicated or incorrect choice if more than one type of average is attempted and there are some incorrect values allow 3 marks if one set of values is clear and correct eg all medians correct 2 complete correct method and value for one average if no choice indicated or incorrect choice eg = 4.5 for median incorrectly stated 1 method for one average mean, median or mode mean: 18 or 81 or 135 or 144 seen median: attempt to order data to find middle or (n+1) / 2 th place seen eg 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6 (design) mode: attempt to tally seen eg 5 x 3, 5 x 4, 2 x 5, 6 x 6 (design) 1 suitable explanation eg mean: includes all the test data eg median: because there is an outlier in fragrance (others median to enable one average to be used) eg mode: because it is the rating chosen by the most people 1 bar chart with 3 bars only showing their averages 1 suitable vertical axis label AND bar labels/ key note: allow references to average number of differences in title as alternative to vertical axis label 1 continuous linear scale on vertical axis starting at (implied) zero and sufficient for their values 2 all bar heights correct ± ½ small square 1 one bar height correct ± ½ small square Q3 3 3 all three values for range correct Range Design of bottle 3 Fragrance 8 Hands clean 4 Q4 2 no marks for repeat calc Q5 2 2 one range correct max and min seen for one range 1 ie 6 and 3 or 10 and 2 or 10 and 6 2 a complete correct check of any original calculation seen in Q3 using a different method eg a reverse calculation OR a calculation using approximate values 1 a correct check which is not finished 1 suitable comment using their average eg (generally) they liked the fragrance

8 Q6 3 1 straight line extension of both trend lines to Promotion 9 2 a value between 900 and 1200 for paper vouchers AND a value between 3900 and 4100 for online vouchers 1 a value between 900 and 1200 for paper vouchers or a value between 3900 and 4100 for online vouchers or both values above in incorrect order Q or 1% or 1/100 or 1 in 100 chance or 1 out of 100 do not allow 1:100 follow through Q / end points clearly labelled ie 0 and 1 or 0% and 100% 1 point marked clearly for their probability eg for 0.01 point marked clearly closer to 0 than 0.1 (0.1) Q8 1 1 suitable explanation consistent with their decision and reference to (use of) paper vouchers eg no and (use of) paper vouchers decreasing eg yes and 1000 vouchers expected to be used eg their opinions varied a lot Total for Task 3 25 marks Example charts for S3Q2 Mean rating score Mean average rating scores Design of bottle Fragrance Hands feel clean afterwards Median rating score Median average rating scores Design of bottle Fragrance Hands feel clean afterwards

9 Mode average rating scores Hands feel clean afterwards Fragrance Design of bottle Mode rating score

10 Level 2 Sample Paper 4 Coverage and Range (Technical Skills) Task 1 Task 2 Task 3 C2.1 Understand and use positive and negative numbers of any size in practical contexts C2.2 carry out calculations with numbers of any size in practical contexts, to a given number of decimal places C2.3 Understand, use and calculate ratio and proportion, including problems involving scale C2.4 Understand and use equivalences between fractions, decimals and percentages C2.5 Understand and use simple formulae and equations involving one- or two-step operations C2.6 recognise and use 2D representations of 3D objects C2.7 find area, perimeter and volume of common shapes C2.8 use, convert and calculate using metric and, where appropriate, imperial measures C2.9 collect and represent discrete and continuous data, using ICT where appropriate C2.10 use and interpret statistical measures, tables and diagrams, for discrete and continuous data, using ICT where appropriate C2.11 use statistical methods to investigate situations C2.12 use probability to assess the likelihood of an outcome

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