| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.8 This is a very straightforward C1 question testing basic index laws and manipulation of powers. Part (i) requires taking a cube root of a simple expression, and part (ii) is direct application of negative index rules. Both parts are routine recall with minimal problem-solving, making this easier than the typical A-level question. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks |
|---|---|
| 10 | (ii) x4y |
| (iiii) | 2 |
| 2 | M1 for two elements correct; condone y1 |
| Answer | Marks |
|---|---|
| 32 | 4 |
Question 10:
10 | (ii) x4y
(iiii) | 2
2 | M1 for two elements correct; condone y1
5 −1
⎛2⎞ ⎛ 1 ⎞ 1
M1 for ⎜ ⎟ or 25 soi or ⎜ ⎟ or
⎝1⎠ ⎝32⎠ 1
32 | 4\begin{enumerate}[label=(\roman*)]
\item Find $a$, given that $a^3 = 64x^{12}y^3$. [2]
\item Find the value of $\left(\frac{1}{2}\right)^{-5}$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q10 [4]}}