Higher November 2017 Paper 1 Q12
12. Mahima works in a biscuit factory.
She uses a trolley to move sacks of flour and boxes of chocolate.
It is not safe to have more than 215 kg on the trolley.
Each sack of flour weighs 10 kg, correct to the nearest kilogram.
Each box of chocolate weighs 8·4 kg, correct to the nearest 200 grams.
Mahima thinks it is always safe to use her trolley to move 4 sacks of flour and 20 boxes of chocolate at the same time.
Is Mahima correct?
Justify your answer with calculations. [5]
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 8500 (grams) or 8.5 (kg) AND 10.5 (kg) or 10500 (grams) | B2 | If units are given they must be correct. B1 for either |
| \(4 \times 10.5 + 20 \times 8.5\) or \(\dfrac{215 - 4\times10.5}{20}\) or \(\dfrac{215 - 20\times8.5}{4}\) | M1 | FT ‘their 8.5 and 10.5’ providing all are in the same units, ‘their 8.5’ > 8.4 and ‘their 10.5’ > 10 |
| 212 or 8.65 or 11.25 | A1 | CAO |
| 212 kg < 215 kg or 8.65 kg > 8.5 kg or 11.25 kg > 10.5 kg or equivalent AND Mahima is correct. | E1 | Dependent on at least B1 M1 having been previously awarded FT ‘their 212’ < 215 Comparison with 215 must be seen or implied Allow ‘Mahima is wrong’ if ‘their 212’ > 215 |
| (5) |