OXFORD CAMBRIDGE AND RSA EXAMINATIONS OCR FUNCTIONAL SKILLS QUALIFICATION IN MATHEMATICS AT LEVEL 1

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1 OXFORD CAMBRIDGE AND RSA EXAMINATIONS OCR FUNCTIONAL SKILLS QUALIFICATION IN MATHEMATICS AT LEVEL 9 3 JULY 0 The maximum mark f this paper is [60] This document consists of printed pages [Turn over

2 OCR Level Functional Skills Maths Mark Scheme Referencing Our ref N N N3 N4 N5 N6 G G G3 G4 S S S3 S4 Coverage and Range Understand and use whole numbers and understand negative numbers in practical contexts Add, subtract, multiply and divide whole numbers using a range of strategies Understand and use equivalences between common fractions, decimals and percentages Add and subtract decimals up to two decimal places Solve simple problems involving ratio, where one number is a multiple of the other Use simple fmulae expressed in wds f one--two-step operations Solve problems requiring calculation, with common measures, including money, time, length, weight, capacity and temperature Convert units of measure in the same system Wk out areas and perimeters in practical situations Construct geometric diagrams, models and shapes Extract and interpret infmation from tables, diagrams, charts and graphs Collect and recd discrete data and ganise and represent infmation in different ways Find mean and range Use data to assess the likelihood of an outcome Process Skills/Skill Standards R = Representing A = Analysing I = Interpreting Representing Understand practical problems in familiar and unfamiliar contexts and situations, some of which are nonroutine. Identify and obtain necessary infmation to tackle the problem Select mathematics in an ganised way to find solutions Analysing Apply mathematics in an ganised way to find solutions to straightfward practical problems f different purposes. Use appropriate checking procedures at each stage. Interpreting Interpret and communicate solutions to practical problems, drawing simple conclusions and giving explanations. Our Ref R R R3 A A I

3 FS Maths L July 0 Marking Guidance Task Ironing Part Process Award On evidence of Notes Skill Standards a Open hours 8.5 (hours) oe 8 hours 30 minutes etc Condone 8.3(0) R b(i) Cost of 7 shirts 8.47 oe 847p (no units) 8.47p ( ). seen Penalise money convention of.p once throughout task R3 A (ii) Minutes ironing Any time from 4 to 8 (minutes) If units must be minutes to 4 seen R I c Earnings from ironing duvet-covers 5 Use of any time from 4 to 8 to iron a duvet Crect method to find number ironed per hour 5,, 0, 8.5(74 ), their time oe. 5 implies first mark One duvet cost x their number ironed Crect answer from their figures A crect total price f an identified duvet type x 5,,.) Accept rounded costs throughout Check using calculat and award 4 marks if crect. R R3 A I I Crect units including money conventions Some annotation Comment about most/average/minimum consistent with their assumptions Penalise money convention of.p once throughout task 3

4 Part Process Award On evidence of Notes d(i) Number of bags in a day 5 Crect times ( range of times) f one of each of Duvet, sheet, two pillowcases, some shirts, and each other Crect times f THREE of Duvet, sheet, pillowcase, shirt, other and Attempt total of their times T If bedding stated then time must be between 9 and 7 minutes and counts as 3 times. Skill Standards A crect method f number of bags in a day using T (answer may be seen in part (ii)) Treat 8 to 8½ hours as a day R A A I I Round DOWN number of bags Well dered wking Justify less time than 50 Any sensible comment related to time taken to iron, taking breaks, supply of laundry (ii) Daily earnings 3 Three crect costs f items on their list Total of their costs f one bag crect (B) B x their number of bags from d(i) crect condone truncated If 0 sced f second third marks f Attempt total cost of one bag of ironing Allow rounded figures Use spreadsheet Penalise money convention of.p once throughout task R A I 4

5 Part Process Award On evidence of Notes Checking 0 A clear check of a calculation Statement that an answer is reasonable, 3 crect calculations throughout task Fewer than 3 crect calculations answers and no checks Skill Standards A A Total 0 Totals

6 Possible evidence (c) Time Number in hour n = (60 / time) Single Earnings n x.50 Double Earnings n x 3.3 King Earnings n x 3.58 Super-king Earnings n x 4.7 Average Earnings n x (d) Individual time Total time Items Minimum Minimum Maximum Sheet Duvet Pillow case x Shirts 3 4 Others x

7 Task Car Emissions Part Process Award On evidence of Notes a(i) Identify highest emission car a(ii) Range of emissions Psche Cayenne oe f 63 any other unequivocal indication and 04 seen Igne wrong confused units R Skill Standards R3 A b(i) Complete tables with car emission values and calculate means cc table 5 from Jazz, Picanta, Clio, Yoti, Smart, Yaris 00cc to 800cc table A4, Fiesta, Golf Means Both of their means crect 3 to 4 and One of their means crect 3 to Two crect totals In both tables, count a wrong inclusion as an err so 4 right and wrong inclusion = 3 right. (- f each wrong inclusion) Check means using their figures in table R R R3 A I 7

8 Part Process Award On evidence of Notes b(ii) c Make sensible comparisons between two groups Calculations to show that driving a Fd (Fiesta) will cost less than an Audi (A4) Use function generat f cost of driving 0,000 miles and compare road tax Award up to marks from Identify Amy and Mean f smaller cars less than mean f larger cars Bigger cars produce, on average, 9 4 (g/km) me converse. Most cars in the first table have lower emissions than those in second table. Psche Cayenne (much) larger engine and (much) higher emissions. Identify Liam and VW Golf and Skoda Yoti both have emissions of 49 but are in different size groups (tables) Audi ( )474(.0) ( )39(.0) and ( )55 ( )39(.0) ( ) Fiesta ( ).(40) ( )0.(40) and ( )90 ( )0.40 ( ) and Clear calculations, set out so that processes may be seen Interpret their comments sensitively. Values do not need to be quoted. Follow through from their means and tabulated values. Do not reward same statement twice. Reward any other sensible comment but not reiterating given ones. Condone any truncation Award marks f any other mileage used. (Check) Award marks f any other mileage used. (Check) R R3 Skill Standards I A 3I Fd is cheaper because (Award from) Car tax is ( )65 cheaper Fuel saving around their ( )98 Total saving around their ( )363 per year. Ft their cheapest car ft their fuel calculations 8

9 Part Process Award On evidence of Notes Checking 0 A clear check of a calculation Statement that an answer is reasonable, 3 crect calculations throughout task Fewer than 3 crect calculations answers and no checks Skill Standards A TOTAL 0 Totals Expected solution and evidence (c) Tables to be completed Cars with engines below 00cc Emission of CO in g/km Cars with engines between cc Emission of CO in g/km Daihatsu Sirion 8 Fiat Punto 3 Honda Jazz 5 Audi A4 64 Kia Picanta 4 Fd Fiesta 7 Renault Clio 39 VW Golf 49 Smart Car 04 Skoda Yoti 49 Toyota Yaris 8 Mean = 3.9 Mean 57 4 = 43 Mean with Psche may be used =835 5 = 67 9

10 Task 3 Gold League Part Process Award On evidence of Notes a(i) a(ii) Find the crect number of points f given positions Find maximum number of points f last 7 races 6 0 and seen 4 Skill Standards R A 7 6 seen R A b Determine whether statement is true that Ball is 5 points ahead of Oban AND seen 6 (difference) 37 OR seen 9 (Ball) AND 8 (Oban) 9 (difference) Indication of finding some places points sced And Crect and quantified comparison with statement (5 points) based on their evidence Ball 37 Oban 0 f Ball 39, Oban 9 etc 9 is from PLACES 9 and 8 are sums of PLACES Eg (Wrong,) it is 6, not 5 Ball is further ahead than that 0 f Ball is ahead R A I I c(i) Determines if Drake sced any points in races 9 0 Drake is wrong and includes 8 8 0, as required Comment that may include but is inconclusive 8 points (only in the first 8 races) (gain of) points Eg. Drake can t have won both races as he would have points and he only has 8... gained points and this would put him on 0 Must be 8 points and not 8 races R I c(ii) Interprets how Grater may have sced 6 points 3 (Grater sces) 8 (points in races) 9 and 0 (Grater sces) 4 (points in the) first 8 races (Grater sces) their 4 (points in races) 9 and 0 And Gary AND one example of how Grater may have sced their 8 points that does not include first place. Or last two (races) Accept + Or last two (races) Eg nd = 5 AND 4 th = 3 Must be clear it is points they are considering NOT places. A I I 0

11 Part Process Award On evidence of Notes (d) Determine whether Oban can still win the Gold League. 5 3 (Oban) 47 to 43 points AND he can win EXTRA points total 4 to 8 AND he can win He can sce 8 points and have me than Cowell Skill Standards (Oban) 47 to 43 points EXTRA points total 4 to 8 OR Attempt (EXTRA) points total f Oban based on 4, 5, 6 8, 0, points AND crect statement based on their total Eg = 4 + = 4 Attempt (EXTRA) points total f Oban based on 4, 5 6 and 8, 0 and points an inconclusive statement based on finishing first He could finish first and win Checking And State clearly the POSITIONS that Oban must finish in to win the Gold League. (May be implied by points added) And State crectly ONE condition on Cowell Ball that will allow Oban to win with their points f Oban. (Need not be a maximum case.) A clear check of a calculation and OR and OR and 3 OR and OR and OR 3 and Eg Cowell must not come st to 6 th (NB Cowell must not win is wrong) Ball can only come 5 th and 6 th Condone loose but true statements such as Cowell must come last. R R3 A I I 0 Statement that an answer is reasonable, 3 crect calculations throughout task Fewer than 3 crect calculations answers and no checks Total 0 Total A A

12 Results of the first eight 00 metre races Stadium Shanghai Oslo Rome Lisbon Doha Paris Monaco Lausanne Position Oban 6 Ball 6 Cowell 6 Daley 6 Ball 6 Drake 6 Preece 6 Painter 6 Ball 5 Cowell 5 Lemar 5 Simmons 5 Cowell 5 Ball 5 Oban 5 Ball 5 3 Cowell 4 Oban 4 Colt 4 Ball 4 Colt 4 Cowell 4 Cowell 4 Cowell 4 4 Colt 3 Calder 3 Ball 3 Lewis 3 Calder 3 Simmons 3 Ball 3 Calder 3 5 Simmons Drake Painter Grater Oban Oban Colt Grater 6 Calder Simmons Oban Cowell Daley Lemar Simmons Oban Points after 8 races Ball Cowell 33 Oban Drake Grater Race Race Possible points totals after races Points - 8 Place Points Total Place Points Win in st nd in st 3rd in st 4th in st 5th in st 6th in st