Foundation November 2022 Paper 1 Q17
17. One summer, Shaun grew runner beans.
Each week he recorded, in kilograms, the total mass of the runner beans he picked.
The results for the first 4 weeks are given below.
3·6 3·4 2·9 5·1
For the first 5 weeks, the mean mass of the runner beans Shaun picked was 4·2 kg per week.
How many kilograms of runner beans did Shaun pick in week 5?
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| \(5 \times 4.2 - (3.6 + 3.4 + 2.9 + 5.1)\) oe | M2 | May be in stages M1 for total mass = \(5 \times 4.2\) (= 21) or for \(\dfrac{3.6 + 3.4 + 2.9 + 5.1 + \ldots}{5} = 4.2\) oe |
| 6 (kg) | A2 | A1 for sight of 21 or for correct answer to ‘their derived 21’ – ‘their 15’ provided at least M1 awarded. |
| (4) |