Sample Paper P000133 – Mathematics Mark Scheme
NCFE Functional Skills Qualification in Mathematics at Level 2 – 501/2324/5
Pass mark 24/44 (55%)
Activity 1 / Marks / Comments /1a / Correct use of seconds for the time - 225 / 1
For correct answer to equation = 60.8 / 1
Their correct interpretation of their fitness grade / 1
1b / Correct interpretation of BMI chart - 72.6 is division line for Overweight to Normal for a height of 5ft 7 ins. / 1
Correct interpretation of Fitness records chart - end of week 5 weight is first occasion when weight is below 72.6kg. / 1
Week 5 and appropriate explanation / 1
Activity 2 / Marks / Comments /
2a / For selecting appropriate linear scale on both axes / 1 / Graphical representation. See example on page 3.
For including an appropriate title e.g. 'Recovery rate for student' / 1
For including label 'Week/session' on the x-axis / 1
For including label 'Recovery rate' on the y-axis / 1
For correct plots of 4 values on the linear scales / 1
For correct plots of 3 more values (i.e. 7 correct) on the linear scales / 1
For correct plots of 2 more values (i.e. 9 correct) on the linear scales / 1
2b / Graph line/points/bars show a rise followed by a plateau, then another rise and plateau. / 1 / Any reasonable comment linked to the pattern of points on the graph.
Student is getting fitter / 1
Activity 3 / Marks / Comments /
3a / Correct conversion of Km to mm or mm to Km or km and mm to m. And correct calculation 2,500,000 ÷ 841 = 2,972 Or 2,500 ÷ 0. 841 = 2,972 / 2 / If appropriate units allow figs 841 and 25 linked.
Appropriate rounding to 3000, so scale is 1:3000 / 1
Check e.g. 1:3000 gives 2.5km as 2500000 ÷ 3000 = 833mm which fits on an A0 page. / 1
3b / Mtents: Cost = 2x135= £270 / 1
Space: Cost = (2x148) x 0.90 = £266.40 or equivalent calculation / 1
Rural: Cost = 151 + (151x0.85) = £279.35 or equivalent calculation / 1
Cheapest hire cost is Space (F/T) / 1
3c / Total volume of drinks 150 x175 = 26,250ml / 1
Identify 1 part juice to 4 parts water as 1/5 or 0.2 is juice. If 1/4 allow F/T / 1
Volume of juice is 26,250 ÷ 5 = 5,250ml / 1
Accurate conversion 5,250ml =5.25l / 1
Rounded to 6 bottles / 1 / Accept alternative methods
3d / Sketch of 2d representation of a cube. / 1 / Isometric or net
Appropriate lettering i.e. M and B opposite each other (on the cube) / 1
Activity 4 / Marks / Comments /
4a / [(2.50+1.50+1.30+0.70+2.40+1.20)x8.5] + 10 + 15 = £106.60 or any other method e.g. Calculation of individual donations, then sum. Award 1 method mark and one calculation (correct answer) mark / 2
4b / 30 ÷ 8.5 = 3.53 minutes per kilometre. Or, alternative method: Week 10 Session 1 compared to sponsors time (8.5 ÷ 8) x 30 = 28.24 minutes = 28:14 Week 10 Session 1 time was 28:45 so slower than required (repeat for other sessions). (any conversion i.e. speed= km/min) / 1
Correct method. Session 1 week 10: 28:45 is 28.75 minutes. 28.75 ÷ 8 = 3.59 minutes per kilometre so slower than required. / 1
Session 2 week 10: 31:41 is 31.68 minutes. 31.68 ÷ 9 = 3.52 minutes per kilometre so faster than required. / 1
Session 1 week 11 and Session 1 week 12 - much slower than session 2 week 10 so slower than required. (or relevant calculation). Session 2 week 11 much faster than Session 2 week 10 so faster than required. / 1 / Any mean calc award 1 mark
2 faster, 3 slower / 1
Probability 2/5 + 0.4 or 40% / 1
4c / Median of 20 - 150 is 85 / 1
Expected donations 85x150=£12,750 / 1
4d / A : 1/6 x 12750 = £2,125 / 1
B: 2/6 x 12750 = £4,250 / 1
C: 3/6 x 12750 = £6,375 / 1
Check e.g. 2,125+4,250+6,375=12,750 / 1
Activity 2a graph
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