| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2022 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.3 This is a multi-part surd manipulation question requiring rationalizing a denominator, simplifying nested surds, and combining terms. While it involves several steps and careful algebraic manipulation, these are all standard AS-level techniques with no conceptual difficulty or problem-solving insight required—slightly easier than average due to being purely procedural. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
Showing all your working, simplify the following expression. [6]
$$5\sqrt{48} + \frac{2+5\sqrt{3}}{5+3\sqrt{3}} - (2\sqrt{3})^3$$
\hfill \mbox{\textit{WJEC Unit 1 2022 Q2 [6]}}