Higher June 2017 Paper 3 Q20
20 This sign shows when a lift is safe to use.
Total mass of people must be 450 kg or less
Ben and some other people are in the lift.
Their total mass is 525 kg to the nearest 5 kg
Ben gets out.
He has a mass of 78 kg to the nearest kg
Is the lift now safe to use?
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 522.5 or 527.5 | B1 | oe Accept 527.499(999…) |
| 77.5 or 78.5 | B1 | oe Accept 78.499(999…) |
| \(527.5 - 77.5\) | M1 | their max total – their min Ben their max total must be (525, 530] their min Ben must be [77, 78) Accept \(527.4\dot{9}\) or 527.499(999…) for 527.5 |
| 450 and Yes with correct working seen | A1 | Accept [449.999, 450] |
Additional guidance
| 525 – 78 = 447 and yes | B0B0M0A0 |
| 525 = 520 to 530 78 = 77.5 to 78.5 520 – 78.5 = 441.5 520 – 77.5 = 442.5 530 – 78.5 = 451.5 530 – 77.5 = 452.5 Answer No | B0 B1 M1 A0 |