| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify algebraic expressions with indices |
| Difficulty | Easy -1.3 This is a straightforward indices question testing basic recall and application of index laws. Part (i) requires recognizing 27 as 3³ and applying fractional indices (routine calculation). Part (ii) involves standard algebraic manipulation with indices using laws of exponents. Both parts are mechanical exercises with no problem-solving or conceptual insight required, making this easier than average for A-level. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
1 (i) Evaluate $\left( \frac { 1 } { 27 } \right) ^ { \frac { 2 } { 3 } }$.\\
(ii) Simplify $\frac { \left( 4 a ^ { 2 } c \right) ^ { 3 } } { 32 a ^ { 4 } c ^ { 7 } }$.
\hfill \mbox{\textit{OCR MEI C1 2014 Q1 [5]}}