FUNCTIONAL SKILLS MATHEMATICS LEVEL 2 - …

1 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 1 of 12 FUNCTIONAL SKILLS MATHEMATICS LEVEL 2 MARK SCHEME (HP 207-FSM216) FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 2 of 12 Task 1 Question Process Total Mark For Evidence of Comment Criteria Ref R A I 1 (1) Converting the weight of apples 3 1 mark for correct method for conversion 16 50 x 128 R3 1 mark for correct solution (16 =) and ( x 8 =) (kg), (16 x 8 =) 128 and (128 =) (kg) Accept any correct value between and (50 x =) 110 (lbs) and (8 x 16 =) 128(lbs), 50 x (=110) 16 = (buckets hold 50kg) Accept rounding or truncation A1 1 mark for correct conclusion Yes, Jenny has collected more than 50kg Yes, 7 buckets is enough Jenny has enough apples I2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 3 of 12 2a (2a) Calculating the number of packs of ingredients for mini apple pies 4 1 mark for correct method to find any quantity flour 650 x 120 8 butter 325 x 15 sugar 1000 150 R2 1 mark for correct method to find number of packs of flour or packs of butter (15 x 650 = ) 9 750, 9 750 1500 for flour , (15 x 325 = )

2 4 875, 4 875 250 for butter R2 1 mark for at least 3 correct solutions for number of packs flour , butter , sugar , eggs 5 Accept 3 correct rounded answers, from flour 7, butter 20, sugar 3, (eggs 5) A1 1 mark for correct list of number of packs flour 7, butter 20, sugar 3 and eggs 5 I1 2b (2b) Check 1 1 mark for acceptable check flour 7 x = (kg) and 15 = (kg) or 700(g) butter 20 x 250 = 5 000(g),and 5 000 15 = (g) sugar 3 x 1 = 3(kg) or 3 000(g) which 15 = 200(g) eggs 5 x 6 = 30 and 30 15 = 2 A2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 4 of 12 3 (3) Calculating the number of trays needed for Jenny s mini apple pies 7 1 mark for valid approach attempt to use diameter of pie and length or width of tray R1 1 mark for correct conversion 12 x 10 = 120(mm) 500 10 = 50(cm) A1 1 mark for correct method to find number of pies that fit along either side 50 12 or 500 120 repeat addition of 12 until total is 50 or 70 R3 1 mark for correct solution for length or width (70 12 =) (500 120 =) (12 + 12 + 12 + 12) = 48(cm) Accept rounding or truncation but not rounded to 6 A1 1 mark for correct interpretation of the remainders, only 5 circular pies can fit across the length and only 4 circular pies can fit across the width.

3 Allow correct interpretation of repeated addition. Must be rounded down I1 1 mark for correct answer to how many pies will fit into rectangular tray (5 x 4 =) 20 (5 + 5 + 5 + 5 =) 20 (4 + 4 + 4 + 4 + 4 =) 20 A1 1 mark for valid explanation, 5 trays are not enough to hold 120 pies as 5 trays x 20 pies = 100 pies 5 trays will not be enough, she needs 6 trays for 120 pies Working required. Allow follow through from their working, but not area method I2 15 5 6 4 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 5 of 12 Task 2 Question Process Total Mark For Evidence of Comment Criteria Ref R A I 1a (4a) Converting currency and showing a check 3 1 mark for a correct method x = 1 115 = R3 1 mark for correct answer ( x =) 1 (INR), (1 115 =) ( ) Allow rounding or truncation A1 1 mark for correct interpretation of answer It is cheaper to buy the ticket in India.

4 I1 1b (4b) 1 1 mark for valid check using a different method by reverse calculation 1 115 or x by estimation, 20 x 70 A2 2 (5) Interpreting a table and choosing the best type of insurance cover 4 1 mark for valid choice for comparison Super and Premium I1 1 mark for correct method to find cost of Super or Premium, 699 + 50 75 799 100 R2 1 mark for correct costs Super ( )674 and Premium ( )699 A1 1 mark for valid reason for their choice Super, because it is cheaper Premium because it is slightly more expensive but covers more I2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 6 of 12 3 (6) Calculating flight time 3 1 mark for correct method to find time difference 23:00 9:45, 23:00 (9:45 + 4:30) or 23:00 14:15 R1 1 mark for correct use of local time information 13:15 - 4:30 23:00 4:30 9:45 + 4:30 R3 1 mark for correct flight time 8 hours 45 minutes 8 hours A1 4 (7) Interpreting a bar chart showing the age of the population in the UK and India in 2001 4 1 mark for at least 3 correct values from graph seen UK, 19, 12, India, 35, 18 I1 1 mark for correct method to find difference, 35 + 18 (19 + 12) (= 22) 53 31 (= 22) May be implied by 22(%) seen R2 1 mark for correct difference The proportion of under-25s in India is 22% higher than in the UK, The difference is 22%.

5 A1 1 mark for valid comment comparing populations The percentage of older people is higher in the UK than in India The percentage of people in the 25 to 44 years age range in the UK and in India is about the same 4% of the UK population are over 80 years old but only 1 % of the population of India is over 80years old I2 15 5 5 5 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 7 of 12 Task 3 Question Process Total Mark For Evidence of Comment Criteria Ref R A I 1a (8a) Working out the total area of the hall and living room floors 3 1 mark for at least 1 correct missing dimension for the living room seen (m) (m) R1 1 mark for correct method to find area of living room 5 x 3 + x = x + 3 x = x x = R3 1 mark for correct area of living room (m2) A1 1b (8b) Check 1 1 mark for acceptable check ( x ) = 15 = 15 ( 5 = 3 (5 x 3) + (2 x 3) = 21 (5 x 3) + (3 x 2) = 21 (5 x 5) (2 x 2) = 21 A2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 8 of 12 2 (9) Working out which size of cleaning solution containers to buy 5 1 mark for correct substitution 55 x (30 + 7 x 3) 3 R1 1 mark for correct order of operations 55 x (30 + 21) x 51 R2 1 mark for correct solution, 935 (ml))

6 A1 1 mark for correct choice of bottle, 250 millilitres and 750 millilitres litre Working required. Allow follow through from their working I1 1 mark for valid explanation, He should buy the 250 millilitres and the 750 millilitres because that will be just enough Ryan should buy the litre because he will have some left over in case of an accident Ryan shoud buy the litre because it will probably be cheaper than the 250 millilitres and the 750 millilitres Explanation and working must correspond I2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 9 of 12 3 (10) Hiring a carpet cleaner 5 1 mark for a valid day or valid overnight or valid half days Tue or Fri and Wed or Fri (half days) Wed (overnight) Sat (day) R1 1 mark for valid pick-up time, Tue and Wed 13:00 - 13:30 Tue and Fri 13.

7 00 - 13:30 Wed and Fri 13:00 - 13:30 Wed 17:30 Sat 8:30 I1 1 mark for valid return time Tue and Wed, 4 hours after pick-up Tue and Fri, 4 hours after pick-up Wed and Fri, 4 hours after pick-up Thu 8:30 Sat 17:30 I1 1 mark for correct cost ( )18 for 2 half days, ( )16 for overnight on Wednesday ( )25 for Saturday Allow follow through R2 1 mark for valid explanation Overnight on Wednesday because hiring overnight is cheaper Half days cost only more than overnight and do not require Ryan to work late at night Saturday because he can finish the job in one day and the weekend is more convenient than a weekday, Allow follow through I2 14 6 3 5 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 10 of 12 Task 4 Question Process Total Mark For Evidence of Comment Criteria Ref R A I 1 (11)

8 Calculating the mean and the range of Bed & Breakfast bookings 6 1 mark for correct method to find mean 123 12 136 12 R2 1 mark for correct means and Allow rounding or truncation A1 1 mark for correct method to find range 22 0 20 - 6 R2 1 mark for correct ranges 22 14 A1 1 mark for valid comment on the means The mean number of bookings increased a little from 2010 to 2011 I2 1 mark for valid comment on range, There was more consistency in the number of bookings per month in 2011, The range of bookings was lower in 2011 than 2010. I2 2a (12a) Calculating a percentage 2 1 mark for correct substitution, 100 x 136 363 R2 1 mark for correct answer (%) Allow rounding or truncation A1 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 11 of 12 2b (12b) Check 1 1 mark for valid check ( x 363 136) = (100 x 140 360) = Allow rounding or truncation A2 FS Maths LEVEL 2 Practice paper mark scheme Aug 12 Page 12 of 12 3 (13) Interpreting a bar chart and comparison of percentages 2 1 mark for correct reading from bar chart 64(%)

9 I1 1 mark for valid comment Tina s percentage is not much more than half the local average percentage Tina s percentage was much lower, but more than half the local average percentage I2 4 (14) Calculating and comparing fractions 5 1 mark for correct values selected 28 + 44 (= 72) Accept 72 R2 1 mark for correct total 120 A1 1 mark for correct method to find useful value, 72 120 3 4 x 120 R3 1 mark for correct solution, 3/5 90 60% A1 1 mark for valid comment, No, only 3/5 of her guests gave a 4-stars or 5-stars rating No, she needed 18 more guests to give a 4-stars or 5-stars rating to meet her target No, only 60% of her guests gave a 4-stars or 5-stars rating and her target was 75% Working required. I2 16 5 6 5