Higher November 2018 Paper 2 Q11
11 An approximation for the value of \(\pi\) is given by
\(4\left(1 - \dfrac{22}{57} + \dfrac{22}{85} - \dfrac{22}{105} + \dfrac{22}{117} - \dfrac{22}{242}\right)\)
Use your calculator to show that this approximation is within 0.1 of 3.14 [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 3.041… | M1 | condone 3.042 |
| 3.14 − 3.041… = 0.09… or 3.041… + 0.1 = 3.141… or 3.041… and 3.14 − 0.1 = 3.04 | A1 | oe condone 3.042 for 3.041… |
Additional guidance
Must see calculation for the A mark
Do not allow use of a more precise value of \(\pi\) for the A mark