| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.8 This is a straightforward C1 surds question testing routine algebraic manipulation. Part (i) requires simplifying powers and roots using index laws, while part (ii) is a standard rationalising denominators exercise. Both are textbook-style questions with no problem-solving required, making this easier than average but not trivial since it requires careful algebraic manipulation. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks | Guidance |
|---|---|---|
| 7 | (i) | 30 |
| [3] | 3 |
| Answer | Marks |
|---|---|
| or5 36 or 10 9 etc | M0 for 6000 6 ie cubing 10 as well |
| Answer | Marks | Guidance |
|---|---|---|
| 7 | (ii) | 8 |
| 11 | 2 | |
| [2] | M1 for common denominator |
| Answer | Marks |
|---|---|
| even if worked with only one fraction | condone lack of brackets |
Question 7:
7 | (i) | 30 | 3
[3] | 3
M1 for 6 6 6 soi and
M1 for 24 2 6 soi
2
or allow SC2 for final answer of 5 6
or5 36 or 10 9 etc | M0 for 6000 6 ie cubing 10 as well
for those using indices:
M1 for both 10 × 63/2 and 2 × 61/2 oe
then M1 for 5 × 6 oe
award SC2 for similar correct answer
with no denominator
7 | (ii) | 8
11 | 2
[2] | M1 for common denominator
4 5 4 5 soi - may be in separate
fractions
or for a final answer with denominator 11,
even if worked with only one fraction | condone lack of brackets\begin{enumerate}[label=(\roman*)]
\item Simplify $\frac{10(\sqrt{6})^3}{\sqrt{24}}$. [3]
\item Simplify $\frac{1}{4 - \sqrt{5}} + \frac{1}{4 + \sqrt{5}}$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q7 [5]}}