| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing basic index laws and manipulation of powers. All three parts require only direct application of standard rules (negative powers, fractional powers, and roots) with minimal algebraic manipulation. Significantly easier than average A-level questions which typically require multi-step problem-solving. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
4 Solve the equations\\
(i) $10 ^ { p } = 0.1$,\\
(ii) $\left( 25 k ^ { 2 } \right) ^ { \frac { 1 } { 2 } } = 15$,\\
(iii) $t ^ { - \frac { 1 } { 3 } } = \frac { 1 } { 2 }$.
\hfill \mbox{\textit{OCR C1 2008 Q4 [6]}}