| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Standard +0.3 This is a straightforward substitution problem where students substitute y = 2 - x into the quadratic equation, expand to get a quadratic in x, then solve. It's slightly easier than average because the linear equation is already solved for y = 2 - x, making substitution immediate, and the resulting quadratic is manageable. Standard C1 fare with no conceptual challenges. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
5. Solve the simultaneous equations
$$\begin{aligned}
& x + y = 2 \\
& 3 x ^ { 2 } - 2 x + y ^ { 2 } = 2
\end{aligned}$$
\hfill \mbox{\textit{OCR C1 Q5 [7]}}