Higher November 2020 Paper 5 Q18
18 The diagram shows a triangular field PQR which is used to grow organic carrots.
Not to scale
PQ = 100 m, PR = 80 m and angle RPQ = 30°.
In recent years, an average of 2.5 kg of carrots has been harvested from each square metre of the field.
(a) Use this information to work out the total mass of carrots that might have been harvested from the field in 2019. [4]
(b) Why might the answer to part (a) be unreliable? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5000 | 4 | M2 for \(2.5 \times \frac{1}{2} \times 80 \times 100 \times \sin 30\) oe or M1 for \(\frac{1}{2} \times 80 \times 100 \times \sin 30\) oe B1 for \(\sin 30 = \frac{1}{2}\) oe soi | Area of triangle = 2000 implies M1B1 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Conditions for growing may have been different in 2019 oe | 1 | e.g. extremes in weather oe disease in the carrots oe 2019 may not have been an “average” year oe 2019 may not have harvested the same number as other years Assumes the same amount will grow [in 2019] | |