| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2016 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve linear inequality |
| Difficulty | Easy -1.8 This is a very routine C1 question testing basic algebraic manipulation. Part (i) requires only multiplying by 4 and rearranging a simple linear inequality (no sign changes from negative multiplication). Part (ii) is straightforward index law application. Both parts are mechanical recall with minimal problem-solving, significantly easier than average A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02g Inequalities: linear and quadratic in single variable |
| Answer | Marks | Guidance |
|---|---|---|
| \(x<-11/2\) oe www as final answer | M1 for \(-2x>11\) oe or \(x<11/-2\) | if working with equals throughout, give 2 for correct final answer, 0 otherwise [2] |
| Answer | Marks | Guidance |
|---|---|---|
| \(250c^{10}d^2\) or \(\frac{250c^{10}}{d^2}\) as final answer | B1 for two correct elements; must be multiplied | if B0, allow SC1 for \(125c^6d^3\) obtained from numerator or for all elements correct but added [2] |
# Question 3:
## Part (i)
$x<-11/2$ oe www as final answer | M1 for $-2x>11$ oe or $x<11/-2$ | if working with equals throughout, give 2 for correct final answer, 0 otherwise [2]
## Part (ii)
$250c^{10}d^2$ or $\frac{250c^{10}}{d^2}$ as final answer | B1 for two correct elements; must be multiplied | if B0, allow **SC1** for $125c^6d^3$ obtained from numerator or for all elements correct but added [2]
---3 (i) Solve the inequality $\frac { 1 - 2 x } { 4 } > 3$.\\
(ii) Simplify $\left( 5 c ^ { 2 } d \right) ^ { 3 } \times \frac { 2 c ^ { 4 } } { d ^ { 5 } }$.
\hfill \mbox{\textit{OCR MEI C1 2016 Q3 [4]}}