Foundation November 2020 Paper 1 Q20
20.
(a) Simplify \(18\pi \div 9\pi\). [1]
(b) 
The diagram shows two circles, one inside the other.
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]
Area of shaded region = ……… cm2
| Scheme | Marks | Comments |
|---|---|---|
| 2 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\pi \times 6^2 - \pi \times 5^2\) or \(36\pi - 25\pi\) si | M2 | For M2 or M1, \(\pi\) could be 3.14 or better or \(\frac{22}{7}\) etc M1 for sight of \(\pi \times 6^2\) or \(\pi \times 5^2\) oe |
| \(11\pi\) | A1 | Mark final answer; not from wrong working; allow \(\pi \times 11\) or \(11 \times \pi\) but do not allow \(\pi 11\) If no marks, award SC1 for an answer of \(44\pi\) or \(\pi \times 44\) or \(44 \times \pi\) (from \(\pi \times 12^2 - \pi \times 10^2\)) |
| (4) |