Higher November 2017 Paper 5 Q16
16
(a) Write \(\sqrt{12} + \sqrt{75}\) in the form \(k\sqrt{3}\). [3]
(b) Work out.
\(16^{-\frac{3}{4}}\) [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(7\sqrt{3}\) | 3 | M2 for \(2\sqrt{3}\) and \(5\sqrt{3}\) or M1 for \(\sqrt{4 \times 3}\) or better or \(\sqrt{25 \times 3}\) or better | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{1}{8}\) oe final answer | 3 | M1 for fourth root soi M1 for cube soi M1 for reciprocal soi | Each step must be correctly evaluated but FT previous step Allow method marks in any order 2 implies M1, ½ implies M1M0M1 8 implies M1M1M0, 4096 implies M0M1M0 |