Functional Skills Mathematics Level sample assessment Marking scheme Sample paper www.cityandguilds.com January 01 Version 1.0
Functional Skills Mathematics Guidance notes for Sample Paper Mark Schemes Level 1 and Level 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. ) 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 4(cm) means accept 4cm or 4 but not 4m eg ( )7.(0) means accept 7.0 or 7. or 7.0 or 7. ) URT means unrounded, rounded or truncated; the underlining defines the acceptable limit of approximation: eg 860. 86 URT (U is the unrounded version) the following are acceptable: 860 (T) or 861 (R) 860.8 (T) or 860.9 (R) or 860.86 (T) or 860.87 (R) or 860.86 (R) or 860.86 (U) but not eg 900. Functional Skills Mathematics Level assessment Sample paper
Step step A step B step C step D step E Total Marks Functional Mathematics Level : Marks awarded for 6 th June AND 4 th April or th April or 1 th June AND 1 st May or nd May or 7 th June AND 1 th May or 16 th May 6 th June and any date between 9 th April rd April (inclusive) or 6 th April or 1 th June and any date between 9 th April 0 th April (inclusive) or rd May or 7 th June and any date between 9 th April 14 th May (inclusive) or 17 th May 1 6 th June or 1 th June or 7 th June ( )6.0 4 ( )6. or ( )840 (lunches full price) or ( )4.0 (half day only) or ( )47.0 (only 1 tea / coffee serving) ( )17.(0) and ( ) or ( )44.0 (no room hire) ( )7. or ( )7.0 or ( )17.(0) or ( ) 1 ( )180 or ( )14.0 or ( ).0 x 1 1 ( )70 (Option A) ( )9.8 or ( )9.7 AND (Option B) ( )11.0 (Option A) ( )9.7 URT or (Option B) ( )11.(0) for both 1 method to find 1% eg x 0.1 or 100 x1 1 calculated values for amounts left to pay ie ( )9.1 or ( )9.1 and ( )67.0 seen anywhere follow through1b, 1C and 1D 1 clearly structured table with rows, columns and headings and units indicated within table 1 rows, columns showing appropriate delineation 1 values for the total cost AND deposit entered in table 1 values for amounts left to pay entered in table eg Option A Option B Total cost 6.0 70.00 Deposit 9.8 11.0 Amount left to pay 9.1 67.0 step F step G 1 1 choice with suitable reason eg Option A because it is cheapest Option B you get more a complete check of any correct answer or any interim stage of provided that calculations or workings have been shown, eg a reverse calculation or a calculation using approximate values but not a straight repeat of the original calculation 1 a complete check of a CORRECT answer or value without sight of an original calculation or a straight repeat of the original calculation Total for 0 Functional Skills Mathematics Level assessment Sample paper
Step step A Step B step C step D step E Step F Total 6 4 Functional Mathematics Level : Marks Marks awarded for 1.(m) URT 1 x 0.0 1 suitable scale chosen eg 1:100 1 scale indicated clearly eg 1:100 accept 1cm represents 1m or arrow drawn to represent 1m or equivalent 1 outline of area to gravel / whole driveway drawn to scale ±½ small square 1 outline of flower bed drawn to scale ±½ small square 1 flower bed drawn in correct position 1 flower bed and area that needs gravel labelled 4 106m accept value between 104m and 106m with units follow through A 106(m )accept value between 104(m ) and 106(m ) without units or correct area for rectangles to work out the area for gravel eg 0(m ) and 6(m ) correct area for any rectangle that forms part of the solution eg 160(m ) or 4(m ) 1.4(m) to.(m) for width of gravel between flower bed and garage or 8.4(m) to 8.(m) for width of gravel between flower bed and house a value between 7400(kg) to 7600(kg) inclusive follow through from C their C 14 x 1000 1 14 ( )106 (for 9 bags) follow through from D 9 (bags) or ( )944 (for 8 bags) 1 a value between 8.4 and 8.7 (bags) or 87 a complete check of any correct answer or any interim stage of provided that calculations or workings have been shown, eg a reverse calculation or a calculation using approximate values but not a straight repeat of the original calculation or a check of their scale 1 a complete check of a CORRECT answer or value without sight of an original calculation or a straight repeat of the original calculation Total for 0 Functional Skills Mathematics Level assessment Sample paper
Step step A step B step C step D step E step F step G Total Functional Mathematics Level : Marks Marks awarded for 7(%) 1 1 0 x 100 seen 1 1 decision consistent with their A and valid reason eg yes the training was successful because more customers gave scores no available for pie charts or tables of 8 or more all four ranges correct, speed of service, attitude, appearance, product knowledge 8 one range correct 1 one pair of maximum and minimum value seen ie and 8 (speed of service) or 7 and 10 (attitude) or and or (appearance) or 1 and 9 (product knowledge) Chosen average circled with all four corresponding average scores correct mean median mode Speed of service 6.4 6 6 Attitude 8. 8 9 Appearance.8 4 Product knowledge. 4 three consistent average scores correct one average score correct partial method for finding median and mode eg ordering of numbers or totals 18 and 166 and 76 and 49 for one mean 1 0 or 14 seen 1 bar chart showing four averages for items in the survey ignore range if bars added this mark not available for line graph 1 suitable vertical axis label and horizontal axis/bar labels allow mark for line graph labels 1 continuous vertical scale starting at (implied) zero allow mark for line graph scale all bar heights correct follow through from D 1 one bar height correct or allow for line graph if all plots are correct training session chosen supported by a valid reason using their average AND a valid reason using their range eg appearance because it has a low average and a small range (showing everyone would benefit from training) 1 training session chosen supported by a valid reason using their average or a valid reason using their range eg product knowledge because it has the lowest average do not accept product knowledge because it has the highest range unless qualified to indicate outlier a complete check of any correct answer or any interim stage of provided that calculations or workings have been shown, eg a reverse calculation or a calculation using approximate values but not a straight repeat of the original calculation 1 a complete check of a CORRECT answer or value without sight of an original calculation or a straight repeat of the original calculation Total for 0 Functional Skills Mathematics Level assessment Sample paper
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