| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Moderate -0.8 This is a straightforward surds question requiring standard techniques: expanding brackets using (a-b)² formula and rationalizing a denominator. Both are routine C1 exercises with clear methods and minimal steps, making it easier than average but not trivial since students must execute the algebra carefully. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
4. Express each of the following in the form $p + q \sqrt { 2 }$ where $p$ and $q$ are rational.\\
(i) $( 4 - 3 \sqrt { 2 } ) ^ { 2 }$\\
(ii) $\frac { 1 } { 2 + \sqrt { 2 } }$\\
\hfill \mbox{\textit{OCR C1 Q4 [5]}}