| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.3 This is a straightforward C1 question testing basic index laws and algebraic manipulation. Part (i) requires recognizing 27 as 3³ and applying fractional indices (routine recall). Part (ii) involves expanding brackets and simplifying powers, which is standard practice with no problem-solving element. Both parts are mechanical applications of rules with minimal steps. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| 2 | (i) | 1 |
| 9 | 2 | |
| [2] | isw conversion to decimal |
| Answer | Marks |
|---|---|
| Except M0 for 9 from 27/3 or 3 27 | ie M1 for evidence of (3 27)2 or |
| Answer | Marks | Guidance |
|---|---|---|
| 2 | (ii) | 2a2 |
| Answer | Marks |
|---|---|
| c4 | 3 |
| [3] | B1 for each element; must be multiplied |
Question 2:
2 | (i) | 1
9 | 2
[2] | isw conversion to decimal
1
M1 for 9 or for 3 2 or for
3
Except M0 for 9 from 27/3 or 3 27 | ie M1 for evidence of (3 27)2 or
1/(3 27) found correctly
2 | (ii) | 2a2
2a2c 4 or as final answer
c4 | 3
[3] | B1 for each element; must be multiplied
if B0, allow SC1 for 64a6c3 obtained from
numerator or for all elements correct but
added\begin{enumerate}[label=(\roman*)]
\item Evaluate $\left(\frac{1}{27}\right)^{\frac{2}{3}}$. [2]
\item Simplify $\frac{(4a^2c)^3}{32a^4c^7}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q2 [5]}}