Higher November 2020 Paper 1 Q4
4.
(a) Simplify \(18\pi\div 9\pi\). [1]
(b) The diagram shows two circles, one inside the other.
The radius of the inner circle is 5 cm.
Work out the area of the shaded region.
Give your answer in terms of \(\pi\). [3]
Diagram not drawn to scale
The radius of the outer circle is 6 cm.The radius of the inner circle is 5 cm.
Work out the area of the shaded region.
Give your answer in terms of \(\pi\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| 2 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\pi\times6^2-\pi\times5^2\) or \(36\pi-25\pi\) si | M2 | For M2 or M1, \(\pi\) could be 3.14 or better or \(\dfrac{22}{7}\) etc M1 for \(\pi\times6^2\) or \(\pi\times5^2\) |
| \(11\pi\) | A1 | Mark final answer; not from wrong working; allow \(\pi\times11\) or \(11\times\pi\) but do not allow \(\pi11\) If no marks, award SC1 for an answer of \(44\pi\) or \(\pi\times44\) or \(44\times\pi\) (from \(\pi\times12^2-\pi\times10^2\)) |
| (4) |