| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sine and Cosine Rules |
| Type | Basic cosine rule application |
| Difficulty | Moderate -0.8 This is a straightforward two-part trigonometry question requiring direct application of the cosine rule (or sine rule) and the area formula (½ab sin C). Both are standard C2 techniques with no problem-solving insight needed, making it easier than average but not trivial since it requires correct formula selection and calculation. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case1.05c Area of triangle: using 1/2 ab sin(C) |
| Answer | Marks |
|---|---|
| 2 | 9.0 or 8.96 or 8.960 |
| 13.2577 | B3 |
| B2 | M1 for |
| Answer | Marks |
|---|---|
| allow M1 and A1 for 13.2 to 13.3 | 5 |
Question 2:
2 | 9.0 or 8.96 or 8.960
13.2577 | B3
B2 | M1 for
[BC2=]6.82+4.12- 2´ 4.1´ 6.8´ cos108
A1 for 80.2(8..), 8.37(grads), 6.49 (rads)
Correctly rounded to 3 or more sf
M1 for 0.5´ 4.1´ 6.8´ sin108
For complete long methods using BC,
allow M1 and A1 for 13.2 to 13.3 | 5
[16]\includegraphics{figure_3}
For triangle ABC shown in Fig. 4, calculate
\begin{enumerate}[label=(\roman*)]
\item the length of BC, [3]
\item the area of triangle ABC. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q2 [5]}}