Higher June 2025 Paper 4 Q3
3 The diagram shows a shape formed from a rectangle measuring 8 cm by 17 cm with a semicircle removed from one side.
Not to scale
Calculate the perimeter of the shape. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 55.7 to 55.71 or \(40 + 5\pi\) | 4 | B1 for diameter = 10 cm or radius = 5 cm | B1 might be seen on diagram and can be implied by 5 or 10 with \(\pi\) e.g. \(5\pi\), 31.4 to 31.42, \(5^2 \times \pi\) |
| M1 for \(\left[\frac{1}{2}\right] 2 \times \pi \times\) their5 oe | M1 implied by \(10\pi\), \(5\pi\), 31.4 to 31.42 or 15.7 to 15.71 Award M marks even if not used to find final answer as long as it is not contradicted. Note : their 5 in the M1 should be their radius of the circle | ||
| M1 for \(8 + 17 + 8 + 3 + 4 +\) their 15.7 or better | their 15.7 should involve \(\pi\) and be an attempt at the circumference of the semicircle, not the area or whole circle | ||