Higher November 2020 Paper 2 Q26
26 Edith’s van can safely carry a maximum load of 920 kilograms.
She wants to use her van to carry
30 sacks of potatoes, each of mass 25 kilograms to the nearest kilogram
and
20 sacks of carrots, each of mass 7.5 kilograms to 1 decimal place.
Can she definitely use her van safely in one journey?
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 24.5 or 25.5 or 7.45 or 7.55 | B1 | accept \(25.4\dot{9}\) for 25.5 accept \(7.54\dot{9}\) for 7.55 |
| \(30 \times\) their 25.5 or 765 or \(20 \times\) their 7.55 or 151 | M1 | their 25.5 must be (25, 26] their 7.55 must be (7.5, 7.6] |
| \(30 \times\) their \(25.5 + 20 \times\) their 7.55 or \(765 + 151\) or 916 | M1dep | oe eg \(920 - 30 \times\) their \(25.5 - 20 \times\) their 7.55 their 25.5 must be (25, 26] their 7.55 must be (7.5, 7.6] |
| 25.5 and 7.55 and 916 and Yes | A1 | oe eg 25.5 and 7.55 and \(-4\) and Yes |
Additional guidance
| Only using lower bounds can score a maximum of B1M0M0A0 | |
| Condone 25.50 for 25.5 etc | |
| 916 and Yes without both 25.5 and 7.55 is A0 but the B mark and M marks are possible eg \(30 \times 25.5 + 20 \times 7.54\ (= 915.8) = 916\) Yes | B1M1M1A0 |
| 916 and Yes with no working | Zero |
| Yes can be implied eg1 \(30 \times 25.5 + 20 \times 7.55 = 916\) which is less than 920 eg2 \(30 \times 25.5 + 20 \times 7.55 = 916\) so she can | B1M1M1A1 B1M1M1A1 |