| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2011 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Easy -1.2 Part (i) is straightforward index manipulation (81 = 3^4, √3 = 3^{1/2}, subtract exponents). Part (ii) is routine rationalizing the denominator by multiplying by the conjugate. Both are standard C1 techniques requiring only procedural recall with minimal problem-solving, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
7 (i) Express $\frac { 81 } { \sqrt { 3 } }$ in the form $3 ^ { k }$.\\
(ii) Express $\frac { 5 + \sqrt { 3 } } { 5 - \sqrt { 3 } }$ in the form $\frac { a + b \sqrt { 3 } } { c }$, where $a , b$ and $c$ are integers.
\hfill \mbox{\textit{OCR MEI C1 2011 Q7 [5]}}