| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Easy -1.8 This is a straightforward C1 question testing basic index laws and simplification. Part (i) requires recognizing that 125 = 5³ and √5 = 5^(1/2), then adding indices. Part (ii) is direct application of power rules. Both parts are routine recall with minimal problem-solving, simpler than typical A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks |
|---|---|
| 7 | (ii) 3.5 or k = 3.5 or 7/2 o.e. |
| (iiii) a6b10 | 2 |
| 2 | 1 |
| Answer | Marks |
|---|---|
| multiplied; mark final answer only | 4 |
Question 7:
7 | (ii) 3.5 or k = 3.5 or 7/2 o.e.
(iiii) a6b10 | 2
2 | 1
M1 for 125 = 53 or 5 =52
3
SC1 for 52 o.e. as answer without
working
M1 for two ‘terms’ correct and
multiplied; mark final answer only | 4\begin{enumerate}[label=(\roman*)]
\item Express $125\sqrt{5}$ in the form $5^k$. [2]
\item Simplify $(4a^3b^5)^2$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q7 [4]}}