Higher November 2017 Paper 1 Q7
7.
(a)
(i) Simplify \(15\pi - \pi\). [1]
(ii) Work out \(12\pi \div 3\pi\). [1]
(b) The diagram shows a circle inside a square.
The circumference of the circle touches all four sides of the square.
Work out the area of the circle.
Give your answer as a multiple of \(\pi\). [3]
The circumference of the circle touches all four sides of the square.
Diagram not drawn to scale
The perimeter of the square is 24 cm.Work out the area of the circle.
Give your answer as a multiple of \(\pi\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(14\pi\) | B1 | allow 43.96 |
| (ii) 4 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (diameter =) 6 (cm) | B1 | May be on diagram |
| \(9\pi\) or \(\pi\times9\) or equivalent | B2 | Mark final answer B1 for \(\pi\times3^2\) or equivalent If no marks award SC1 for an answer of \(36\pi\) or \(144\pi\) |
| (5) |