| 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 (a) requires evaluating simple fractional powers of perfect powers (16=2^4, 81=3^4) and part (b) involves routine application of power rules and simplification. Both are standard textbook exercises with no problem-solving element, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks |
|---|---|
| 13 | (ii)) 4 |
| Answer | Marks |
|---|---|
| c2 | 2 |
| 3 | 1 for 4 or 27 |
| Answer | Marks |
|---|---|
| correct but unnecessary brackets | 5 |
Question 13:
13 | (ii)) 4
3a10b8
(iii) a10b8c-2 or
c2 | 2
3 | 1 for 4 or 27
2 for 3 ‘elements’ correct, 1 for 2
elements correct, −1 for any adding of
elements; mark final answer; condone
correct but unnecessary brackets | 5
Simplify the following.
\begin{enumerate}[label=(\alph*)]
\item $\frac{16^{\frac{1}{3}}}{81^{\frac{1}{4}}}$ [2]
\item $\frac{12(a^3b^2c)^4}{4a^2c^6}$ [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q13 [5]}}