| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | June |
| 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 indices question testing basic recall and application of index laws. Part (i) requires simple manipulation of negative and fractional powers with no problem-solving. Part (ii) involves routine expansion and simplification using standard index rules. Both parts are mechanical exercises below typical A-level difficulty. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| \(5\) | 2 | allow 2 for \(\pm 5\); M1 for \(25^{1/2}\) seen or for \(\frac{1}{5}\) seen or for using \(25^{1/2} = 5\) with another error (M1 for coping correctly with fraction and negative index or with square root) |
| Answer | Marks | Guidance |
|---|---|---|
| \(8x^{10}y^{13}z^4\) or \(2^3x^{10}y^{13}z^4\) | 3 | 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 |
# Question 6:
## Part (i)
| $5$ | 2 | allow 2 for $\pm 5$; M1 for $25^{1/2}$ seen or for $\frac{1}{5}$ seen or for using $25^{1/2} = 5$ with another error (M1 for coping correctly with fraction and negative index or with square root) |
## Part (ii)
| $8x^{10}y^{13}z^4$ or $2^3x^{10}y^{13}z^4$ | 3 | 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 |
---6 (i) Find the value of $\left( \frac { 1 } { 25 } \right) ^ { - \frac { 1 } { 2 } }$.\\
(ii) Simplify $\frac { \left( 2 x ^ { 2 } y ^ { 3 } z \right) ^ { 5 } } { 4 y ^ { 2 } z }$.
\hfill \mbox{\textit{OCR MEI C1 2008 Q6 [5]}}