| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2005 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify numerical surds |
| Difficulty | Easy -1.8 This is a very routine C1 question testing basic index laws and surd manipulation with no problem-solving required. Parts (i) and (ii) are direct recall of negative and fractional indices, while part (iii) is a standard textbook exercise in simplifying surds—significantly easier than average A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
1 (i) Express $11 ^ { - 2 }$ as a fraction.\\
(ii) Evaluate $100 ^ { \frac { 3 } { 2 } }$.\\
(iii) Express $\sqrt { 50 } + \frac { 6 } { \sqrt { 3 } }$ in the form $a \sqrt { } 2 + b \sqrt { } 3$, where $a$ and $b$ are integers.
\hfill \mbox{\textit{OCR C1 2005 Q1 [6]}}