| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| 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 C1 question testing basic index law manipulation. Part (i) requires simple recall of negative and fractional indices with no problem-solving. Part (ii) involves routine algebraic simplification using power laws. Both parts are mechanical exercises below average difficulty for A-level, though slightly more involved than the calibration example at -1.5. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks |
|---|---|
| 8 | (ii)) www |
| (iii) x10y13z4 or 23x10y13z4 | 2 |
| 3 | allow 2 for ±5; M1 for 251/2 seen or for |
| Answer | Marks |
|---|---|
| from total earned if addn signs | 5 |
Question 8:
8 | (ii)) www
(iii) x10y13z4 or 23x10y13z4 | 2
3 | allow 2 for ±5; M1 for 251/2 seen or for
1/5 seen or for using 251/2 = 5 with
another error (ie M1 for coping correctly
with fraction and negative index or with
square root)
mark final answer; B2 for 3 elements
correct, B1 for 2 elements correct;
condone multn signs included, but −1
from total earned if addn signs | 5\begin{enumerate}[label=(\roman*)]
\item Find the value of $\left(\frac{1}{25}\right)^{-\frac{1}{2}}$. [2]
\item Simplify $\frac{(2x^2y^3z)^5}{4y^5z}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q8 [5]}}