1MA0 Higher June 2015 Paper 1 Q22
22
(a) Find the value of \(2^{-3}\) (1)
\(5\sqrt{5}\) can be written in the form \(5^k\)
(b) Find the value of \(k\). (1)
(c) Work out the value of \(\left(\sqrt{12} - \sqrt{3}\right)^2\) (2)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{1}{8}\) | 1 | B1 for \(\dfrac{1}{8}\) oe |
| Answer | Mark | Notes |
|---|---|---|
| 1.5 | 1 | B1 for 1.5 oe |
| Answer | Mark | Notes |
|---|---|---|
| 3 | 2 | M1 for \(\sqrt{12} \times \sqrt{12} - \sqrt{12} \times \sqrt{3} - \sqrt{3} \times \sqrt{12} + \sqrt{3} \times \sqrt{3}\) or \(\sqrt{144} - \sqrt{36} - \sqrt{36} + \sqrt{9}\) oe. with no more than one sign error A1 cao OR M1 for writing \((\sqrt{12} - \sqrt{3})\) as \((2\sqrt{3} - \sqrt{3})\) \((= \sqrt{3})\) A1 cao |