| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting quadratic curve |
| Difficulty | Moderate -0.3 This is a standard C1 simultaneous equations question involving one linear and one quadratic equation. It requires substitution (y = 2 - x into the second equation) followed by solving a quadratic, which are routine techniques. The 6 marks reflect multiple steps rather than conceptual difficulty, making it slightly easier than the average A-level question which typically involves more sophisticated problem-solving. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
Solve the simultaneous equations
$$x + y = 2$$
$$x^2 + 2y = 12.$$ [6]
\hfill \mbox{\textit{Edexcel C1 Q4 [6]}}