Foundation June 2023 Paper 2 Q24
24 A volunteer packs boxes for a charity.
They can pack 5 boxes in 45 seconds.
(a) Use this information to show that they can pack 55 boxes in less than 9 minutes. [4]
(b) What assumption did you make in part (a)? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct method that would lead to 495, 60 or 8.25 oe e.g. \((55 \div 5) \times 45\) or \(55 \times (45 \div 5)\) or \(11 \times 0.75\) oe or \(540 \div (45 \div 5)\) | M2 | M1 for \(55 \div 5\) or 11 or \(45 \div 5\) or 0.75 or \(60 \times 9\) oe or for repeated addition attempt at method with no more than one error | M2 may be repeated addition, done in stages etc For M2 accept e.g. \(11 \times 45\), \(45 \times 10 + 45\), \(9 \times 55\), \(540 \div 9\), \(540 \div 45 \times 5\) M2 implied by 495 or 60 or 8.25 or 8 mins 15 seconds For M2, do not accept incorrect time conversion e.g. \(0.45 \times 11\) |
| 60 [boxes] or 8.25 oe or 495 and 540 | A2 | A1 for 495 | Accept 8 mins 15 seconds for A2 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| They continue to pack boxes at the same rate (or faster) oe | 1 | Accept any comment that implies the rate does not go slower e.g. They took no breaks They pack for 9 mins without stopping Each box took the same time to pack They don’t get tired That they were not interrupted The boxes remain the same size and consistency That they won’t make any mistakes I assumed every box took 9 seconds Do not accept e.g. I assumed one box took 9 seconds | |