| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing standard techniques: rationalizing a denominator by multiplying by the conjugate, and simplifying surds by factoring. Both parts are routine textbook exercises requiring only direct application of well-practiced methods with no problem-solving or insight needed. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
3 (i) Express $\frac { 12 } { 3 + \sqrt { 5 } }$ in the form $a - b \sqrt { 5 }$, where $a$ and $b$ are positive integers.\\
(ii) Express $\sqrt { 18 } - \sqrt { 2 }$ in simplified surd form.
\hfill \mbox{\textit{OCR C1 2010 Q3 [5]}}