### Transcription of Functional Skills Mathematics Level 2 sample …

1 **Functional** **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 **Functional** **Skills** **Mathematics** **Level** 2 **sample** assessment Marking scheme PAPER-BASED May 2015 Version 1 **Level** 2 **sample** Paper 2 Mark Represent AnalyseInterpretOpen Fixed 1A 3 30030 1B 13 670130 1C 4 00440 1D 2 00220 1E 3 00330 2A 3 20130 2B 2 00220 2C 12 570120 2D 2 11020 2E 6 00660 3A 3 12003 3B 2 11020 3C 2 11002 3D 5 13105 3E 2 00220 3F 7 10670 3G 4 11222 75 2323296312 31%31%39%84%16% V1 These materials relate to the assessments that will be in use from September 2015 **Functional** **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 **Functional** **Skills** **Mathematics** 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.

2 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 ( ) (0) means accept or or or 3) URT means unrounded, rounded or truncated; the underlining defines the acceptable limit of approximation: eg 860. 8652 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 Notional pass mark: 50 (or above) **Functional** **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 NB incorrect money format given as an answer should only be penalised once on the whole paper and will lose 1 mark, eg 1C ( ) (answer Bubble electricity 1 week) loses one mark.

3 Do not penalise any subsequent incorrect format. Maths **Level** 2: Task 1 Washing machine Step Total marks Marks Marks awarded for Task 1 Step A 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: suitable washing machine (based on criteria) number of washes over a period of time eg 5 years cost of electricity cost of water prices of the washing machines (total) costs 1 reference to at least TWO of the above Task 1 Step B 13 Summary of expected solution for 1B correct comparison for any two machines including machine prices, electricity costs and water costs using a consistent time period/number of washes eg for 5 years or for 1 year or 1 week (3 washes) or 1 wash, for which a table of results is provided.

4 Other consistent periods of time are acceptable and can be worked out by the marker washing machine costs 3 Correct prices for Bubble and Optus ie 399 for Bubble and 329 for Optus 2 Correct price for two machines including either Bubble or Optus eg 399 for Bubble and 299 for Aqua 1 Correct price for ANY two machines including either Bubble or Optus or only Bubble and Optus chosen (without prices) water and electricity costs 5 total cost for water and electricity for a defined number of washes/period of time for ANY two machines 4 total cost for water and electricity for a defined number of washes/period of time for any one machine 3 values for units of electricity used x cost of unit and units of water used x cost of unit eg ( ) x = ( ) and ( ) x 45 = ( ) for Bubble for one wash eg ( ) x x 3 = ( ) and ( ) x 45 x 3 = ( ) for Bubble for one week See table below for alternatives 2 values for units of electricity used x cost of unit or units of water used x cost of unit eg ( ) x = ( ) or ( ) x 50 = ( ) for Optus for one wash eg ( ) x x 3 = ( ) or ( ) x 50 x 3 = ( ) for Optus for one week See table below for alternatives 1 units of electricity or litres of water used for each wash by their machine eg or 45 for Bubble or or 50 for Optus running costs and machine price (scaled costs) 3 value for the running cost + machine price scaled appropriately eg for Bubble ( ) for 5 years OR ( ) for 52 weeks OR ( ) for 3 washes OR ( )

5 For one wash **Functional** **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 See table below for alternatives 2 running cost + machine price related by scaling eg x 3 x 52 x 5 or x 780 or equivalent to find the number of washes in 5 years eg 3 52 5 or 780 or equivalent to find proportion of machine price for one wash eg x 3 x 52 for number of washes in a year AND 5 for machine price for one year 1 780 or 782 washes for 5 years or 156 washes for 1 year 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 Example costs for different time periods/number of washes Machine Bubble Optus Aqua Eco Swirl Cost to buy ( ) of electricity for 5 years ( ) of water for 5 years ( ) cost for 5 years ( ) years: 780 washes and full price machine used for calc.

6 Machine Bubble Optus Aqua Eco Swirl Cost to buy pro rata ( ) of electricity for 1 wash ( ) of water for 1 wash ( ) cost for 1 wash ( ) wash: machine price 780 and cost for 1 wash used for calc. Machine Bubble Optus Aqua Eco Swirl Cost to buy pro rata ( ) of electricity for 1 year ( ) of water for 1 year ( ) cost for 1 year ( ) year.

7 Machine price 5 and 156 washes used for calculation Machine Bubble Optus Aqua Eco Swirl Cost to buy pro rata ( ) of electricity for 1 week ( ) of water for 1 week ( ) **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 Total cost for 1 week ( ) week: machine price 260 and 3 washes per week used for calculation. Task 1 Step C 4 1 table structure showing at least two washing machines with rows and columns and appropriate delineation 1 headings / labels for at least three of (washing) machine price, electricity costs, water costs, total running costs, total cost, period of time, number of washes 1 their data entered for running costs (electricity, water and machine price)

8 For both machines 1 their total costs for both machines in the table with units indicated Task 1 Step D 2 2 two valid reasons corresponding to the choice of washing machine eg Optus/Bubble meets the criteria of wash cycle and spin speed eg Bubble is cheaper over the 5 years Do not accept meets criteria without qualification 1 one valid reason Task 1 Step E 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 some unacceptable comments eg My plan helped me structure my work to find the best machine. eg I made sure I worked out electricity and water for 5 years because the machine price was 5 years. eg Results are sensible because the more water and electricity used, resulted in higher costs.

9 Eg I found it difficult that the information for the electricity was for one wash and I needed to find it for 5 years. eg It would be useful to know how long the machine would actually last. eg I would work it out for 5 years instead of 1 year. eg I would check all the electricity and water costs. 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 choose a different washing machine. (ie unqualified) eg I would check all my answers. (ie unqualified) 2 two comments 1 one comment Total for Task 1 = 25 marksFunctional **Skills** **Mathematics** **Level** 2 mark scheme **sample** Paper 2 Maths **Level** 2.

10 Task 2 Orienteering Step Total marks Marks Marks awarded for Task 2 Step A 3 No marks available if route goes through lake 3 suitable line joining all 7 checkpoints in any order ie not through lake AND visiting each check point only once 2 line joining 6 checkpoints in any order but not through lake or line visiting a checkpoint more than once but not through lake 1 line joining checkpoints in any order omitting start and finish Task 2 Step B 2 2 two reasons for route eg it is the shortest route eg it passes through each checkpoint eg it starts at the furthest point (for A) eg it passes through each checkpoint only once 1 one reason for route Task 2 Step C 12 12 times taken for all 6 stages corresponding to route marked on map AND total time taken from either correct addition of their stage times or correct calculation from total distance See table below for times calculated from straight line routes drawn on map.