Numeracy Higher November 2019 Unit 2 Q6
6. Dafydd carries bags of gravel on the back of his lorry.
Each bag of gravel has a mass of 90 kg, correct to the nearest 5 kg.
The maximum mass the lorry can carry without overloading is 7500 kg.
However, this measurement is only correct to the nearest 100 kg.
Calculate the maximum number of bags that the lorry is guaranteed to be able to carry without overloading.
You must show all your working. [3]
Maximum number of bags that the lorry is guaranteed to be able to carry is ……………
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 7450 (kg) AND 92.5 (kg) | B1 | Allow sight of 92.4999… throughout but not 92.49 |
| \(\dfrac{7450}{92.5}\) | M1 | FT for \(7400 \leqslant t \lt 7500\) and \(90 \lt b \leqslant 95\) Allow convincing arguments using multiples of 92.5 |
| = 80 (bags) | A1 | CAO |