Higher November 2024 Paper 1 Q7
7 A large circle and a small circle are shown.
The radius of the large circle is 12 cm
| radius of large circle : radius of small circle = 4 : 1 |
Not drawn accurately
Work out the shaded area.
Give your answer in terms of \(\pi\) [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(12 \div 4\) or 3 | M1 | oe may be on the diagram may be seen in a ratio |
| \(\pi \times\) their \(3 \times\) their 3 or \(9\pi\) or [28.2, 28.3] | M1dep | oe |
| \(\pi \times 12 \times 12\) or \(144\pi\) or [452.1, 452.45] | M1 | oe |
| \(135\pi\) | A1 | SC2 135 |
Additional guidance
| Condone eg \(\pi 9\) for \(9\pi\) | |
| Condone use of \(\dfrac{22}{7}\) or 3.1 or better for \(\pi\) up to M3 | |
| Answer 135 with \(135\pi\) in working Answer 135 without \(135\pi\) in working | M1M1M1A0 SC2 |
| Answer [423.8, 424.3] | M1M1M1A0 |