Foundation November 2018 Paper 2 Q8
8
(a) Lena is at the gym.
She will use each of these pieces of equipment once.
Rowing machine (R) Stepper (S)
Treadmill (T) Bike (B)
Lena will use the rowing machine first.
List all the possible orders in which she could use the four pieces of equipment. [2 marks]
(b) The table shows how long Lena spends on each piece of equipment.
| Rowing machine | 15 minutes |
| Stepper | 13 minutes |
| Treadmill | 35 minutes |
| Bike | 1 hour 30 minutes |
Lena starts on the rowing machine at 1.50 pm
She has a break for 4 minutes between pieces of equipment.
What time does she finish on her last piece of equipment? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| R S T B R S B T R T S B R T B S R B S T R B T S | B2 | may be presented vertically B1 4 or 5 correct orders and 0, 1 or 2 incorrect orders or the 6 correct orders and 1 or 2 incorrect orders or 24 possible orders with R in any place or STB, SBT, TSB, TBS, BTS, BST |
Additional guidance
Correct orders start with R
Ignore repeated orders for both marks
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| 1.50 + 15 (mins) or 13.50 + 15 (mins) or 2.05 (pm) or 14.05 as end of rowing machine or 2.09 (pm) or 14.09 as start of second piece of equipment | M1 | oe condone starting on a different piece of equipment if equipment clearly stated |
| their 2.05 (pm) + 4 (mins) + 13 (mins) + 4 (mins) + 35 (mins) + 4 (mins) + 1 (hour) 30 (mins) or their 2.09 (pm) + 13 (mins) + 4 (mins) + 35 (mins) + 4 (mins) + 1 (hour) 30 (mins) | M1dep | oe eg their 2.09 (pm) + 17 (mins) + 39 (mins) + 1 (hour) 30 (mins) calculation(s) shown that would lead to 4.35 if evaluated correctly |
| 4.35 (pm) or 16.35 | A1 | SC2 4.39 (pm) or 16.39 from 4 breaks |
| Alternative method 2 | ||
| 15 (mins) + 13 (mins) + 35 (mins) + 1 (hour) 30 (mins) or 2 (hours) 33 (mins) or 153 (mins) or 15 (mins) + 4 (mins) + 13 (mins) + 4 (mins) + 35 (mins) + 4 (mins) + 1 (hour) 30 (mins) or 2 (hours) 45 (mins) or 165 (mins) | M1 | oe eg 19 + 17 + 39 + 1 h 30 implied by 4.23 (pm) or 16.23 condone 2.33 or 2.45 |
| 1.50 (pm) + their 2 (hours) 33 (mins) + \(3 \times 4\) (mins) or 1.50 (pm) + their 2 (hours) 45 (mins) or 4.23 (pm) + \(3 \times 4\) (mins) | M1dep | oe their 153 or their 165 must be correctly converted to hours and minutes calculation(s) shown that would lead to 4.35 if evaluated correctly |
| 4.35 (pm) or 16.35 | A1 | SC2 4.39 (pm) or 16.39 from 4 breaks |
Additional guidance
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Having 0, 1 or 2 breaks will score a maximum of M1 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Having 4 breaks may score the special case if evaluated correctly | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Condone using decimal time for a maximum of M1 (unless recovered) eg1 in alt 2, 0.15 + 0.13 + 0.35 + 1.3 = 2 h 33 min (recovered) eg2 in alt 2, 0.15 + 0.13 + 0.35 + 1.3 (= 1.93) eg3 in alt 1, 1.5 + 15 = 1.65 eg4 in alt 1, 2.26 pm + 90 = 3.16 pm (has added 0.9) | at least M1 max M1 max M1 max M1 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Condone 16.35pm | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| May work in 24-hour clock throughout | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Times may just be listed as in the table in the AG but if an error is made they must have shown the amount of time intended to be added eg1 2.09, 2.22, 2.26, 3.02, 3.06, 4.36 (error seen at 3.01, time not shown) eg2 2.09, 13 mins, 2.22, 2.26, 35 mins, 3.02, 3.06, 4.36 (error seen at 3.01 but intention to add 35 implied) | M1M0 M1M1 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 4.35 seen, answer 4 h 35 min | M2A0 |