Higher June 2024 Paper 2 Q8
8 A playground is in the shape of a right-angled triangle.
Dan makes a scale drawing of the playground.
He uses a scale of 1 cm represents 5 m
The area of the playground on the scale drawing is 28 cm2
The real length of \(QR\) is 40 m
Work out the real length of \(PQ\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 35 | P1 | for one correct use of the given scale, eg \(40 \div 5\ (= 8)\) or \(28 \times 5^2\ (= 700)\) |
| P1 | for process to use area of triangle, eg \(28 = \dfrac{1}{2} \times PQ \times [QR]\) or \([\text{area}] = \dfrac{1}{2} \times PQ \times 40\) | |
| A1 | cao |
Additional guidance
Can award these marks in either order
[QR] must be clearly identified as the drawing length, and cannot be 40
[area] must be clearly identified as the real area, and cannot be 28