Higher November 2023 Paper 2 Q21
21 Jack is loading a van.
The van can safely carry 1375 kg of furniture.
Jack has already loaded 1200 kg of furniture to the nearest 50 kg
A table has mass 140 kg to the nearest 10 kg
Can the table safely be added to the furniture in the van?
You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| 1225 or 1175 or 145 or 135 | M1 | |
| their 1225 + their 145 or 1370 and 1225 and 145 | M1 | must add two upper bounds their 1225 must be (1200, 1250] their 145 must be (140, 150] |
| 1370 and Yes and 1225 and 145 | A1 | |
| Alternative method 2 | ||
| 1225 or 1175 or 145 or 135 | M1 | |
| \(1375 -\) their 1225 or \(1375 -\) their 145 | M1 | their 1225 must be (1200, 1250] their 145 must be (140, 150] |
| 145 and 150 and Yes or 1225 and 1230 and Yes | A1 | |
Additional guidance
| Up to M2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Note that M0M1A0 is possible eg \(1224 + 144\) | M0M1A0 |
| Accept correct use of decimals eg \(1224.\dot{9}\) for 1225 | |
| Yes may be implied eg The table can be added |