Functional Skills Mathematics Level 2 sample …

1 Functional Skills Mathematics Level 2 sample assessment Marking scheme sample paper 2 January 2012 Version Functional Skills Mathematics Level 2 assessment 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. 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.

2 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. Functional Skills Mathematics Level 2 assessment sample paper 2 Total for Task 2 20 marks Functional Mathematics Level 2: Task 1 Step Total marks Marks Marks awarded for 3 6th June AND 24th April or 25th April or 13th June AND 1st May or 2nd May or 27th June AND 15th May or 16th May 2 6th June and any date between 9th April 23rd April (inclusive) or 26th April or 13th June and any date between 9th April 30th April (inclusive) or 3rd May or 27th June and any date between 9th April 14th May (inclusive) or 17th May Task 1 step A 3 1 6th June or 13th June or 27th June 5 ( ) 4 ( ) or ( )840 (lunches full price) or ( ) (half day only) or ( ) (only 1 tea / coffee serving)

3 Or complete correct method with one calculation error 3 ( ) (0) and ( )225 or ( ) (no room hire) 2 ( ) or ( ) or ( ) (0) or ( )225 Task 1 step B 5 1 ( )180 or ( ) 2 or ( ) x3 Task 1 step C 1 1 ( )750 3 (Option A) ( ) or ( ) AND (Option B) ( ) 2 (Option A) ( ) URT or (Option B) ( ) (0) or complete correct method with one calculation error for both Task 1 step D 3 1 method to find 15% eg x or 100 x15 1 calculated values for amounts left to pay ie ( ) or ( ) and ( ) seen anywhere follow through1B, 1C and 1D 1 clearly structured table with rows, columns and headings and units indicated within table 1 rows.

4 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 Task 1 step E 5 eg Option A Option B Total cost Deposit Amount left to pay Task 1 step F 1 1 choice with suitable reason eg Option A because it is cheapest Option B you get more 2 a complete check of any correct answer or any interim stage of Task 1 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 Task 1 step G 2 1 a complete check of a CORRECT answer or value without sight of an original calculation or a straight repeat of the original calculation Functional Skills Mathematics Level 2 assessment sample paper 2 Functional Mathematics Level 2: Task 2 Step Total marks Marks Marks awarded for 2 (m) URT Task 2 step A 2 1 5 x or complete correct method with one calculation error 1 suitable scale chosen eg 1:100 1 scale indicated clearly eg 1.

5 100 accept 1cm represents 1m or arrow drawn to represent 1m or equivalent 1 outline of area to gravel / whole driveway drawn to scale small square 1 outline of flower bed drawn to scale small square 1 flower bed drawn in correct position Task 2 Step B 6 1 flower bed and area that needs gravel labelled 4 106m2 accept value between 104m2 and 106m2 with units follow through 2A 3 106(m2)accept value between 104(m2) and 106(m2) without units or correct area for 2 rectangles to work out the area for gravel eg 50(m2 ) and 56(m2 ) or complete correct method with one calculation error 2 correct area for any rectangle that forms part of the solution eg 160(m2 ) or 24(m2) Task 2 step C 4 1 (m) to (m) for width of gravel between flower bed and garage or (m) to (m) for width of gravel between flower bed and house 3 a value between 7400(kg) to 7600(kg) inclusive follow through from 2C 2 their 2C 14 x 1000 or complete correct method with one calculation error Task 2 step D 3 1 14 3 ( )1062 (for 9 bags) follow through from 2D 2 9 (bags) or ( )944 (for 8 bags)

6 Or complete correct method with one calculation error Task 2 step E 3 1 a value between and (bags) or 875 2 a complete check of any correct answer or any interim stage of Task 2 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 Task 2 Step F 2 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 Task 2 20 marks Functional Skills Mathematics Level 2 assessment sample paper 2 Functional Mathematics Level 2.

7 Task 3 Step Total marks Marks Marks awarded for 2 75(%) Task 3 step A 2 1 15 20 x 100 seen Task 3 step B 1 1 decision consistent with their 3A and valid reason eg yes the training was successful because more customers gave scores of 8 or more 3 all four ranges correct, speed of service 3, attitude 3, appearance 3, product knowledge 8 2 one range correct Task 3 step C 3 1 one pair of maximum and minimum value seen ie 5 and 8 (speed of service) or 7 and 10 (attitude) or 2 and 5 or (appearance) or 1 and 9 (product knowledge) 5 Chosen average circled with all four corresponding average scores correct mean median mode Speed of service 6 6 Attitude 8 9 Appearance 4 5 Product knowledge 3 2 4 three consistent average scores correct 3 one average score correct 2 partial method for finding median and mode eg ordering of numbers or totals 128 and 166 and 76 and 49 or complete correct method with one calculation error for one mean Task 3 step D 5 1 20 or 14 seen 1 bar chart showing four averages for items in the survey ignore range if bars added

8 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 2 all bar heights correct follow through from 3D Task 3 step E 5 no marks available for pie charts or tables 1 one bar height correct or allow for line graph if all plots are correct 2 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) Task 3 step F 2 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 2 a complete check of any correct answer or any interim stage of Task 3 provided that calculations or workings have been shown.

9 Eg a reverse calculation or a calculation using approximate values but not a straight repeat of the original calculation Task 3 step G 2 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 Task 3 20 marks Published by City & Guilds 1 Giltspur Street London EC1A 9DD T +44 (0)844 543 0000 F +44 (0)20 7294 2413 City & Guilds is a registered charity established to promote education and training