| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Functions |
| Type | Sketch exponential graphs |
| Difficulty | Easy -1.3 This question tests basic exponential concepts through routine recall and standard procedures: (i) direct summation of four terms, (ii) solving a simple exponential equation using index laws, and (iii) sketching the standard exponential curve y=2^x. All parts are textbook exercises requiring minimal problem-solving, making this easier than average for A-level. |
| Spec | 1.04g Sigma notation: for sums of series1.06a Exponential function: a^x and e^x graphs and properties |
| Answer | Marks |
|---|---|
| \(2\) \(x\) | \(2\) |
Question 6:
(ii) $-6$
(iii) $y$
$6$
$4$
$2$
$2$ $x$ | $2$
$1$ M1 for $2^2 + 2^3 + 2^4 + 2^5$ o.e.
$1$ Correct in both quadrants
$1$ Through $(0, 1)$ shown dep.
$5$6 (i) Find $\sum _ { k = 2 } ^ { 5 } 2 ^ { k }$.\\
(ii) Find the value of $n$ for which $2 ^ { n } = \frac { 1 } { 64 }$.\\
(iii) Sketch the curve with equation $y = 2 ^ { x }$.
\hfill \mbox{\textit{OCR MEI C2 Q6 [5]}}