| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify numerical surds |
| Difficulty | Easy -1.8 This is a routine drill question testing basic surd manipulation skills with no problem-solving required. Each part involves straightforward simplification using standard techniques (factoring out perfect squares, rationalizing denominators, combining like terms) that students practice extensively. This is easier than the typical multi-step A-level question. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
3 Express each of the following in the form $k \sqrt { 2 }$, where $k$ is an integer:\\
(i) $\sqrt { 200 }$,\\
(ii) $\frac { 12 } { \sqrt { 2 } }$,\\
(iii) $5 \sqrt { 8 } - 3 \sqrt { 2 }$.
\hfill \mbox{\textit{OCR C1 2008 Q3 [4]}}