| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2005 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Complete the square |
| Difficulty | Moderate -0.8 This is a straightforward completing the square question requiring students to expand the right-hand side and equate coefficients. It's more routine than average A-level questions since it only tests algebraic manipulation without requiring problem-solving or application, though it does require careful coefficient matching across three unknowns. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points |
2 Given that $2 x ^ { 2 } - 12 x + p = q ( x - r ) ^ { 2 } + 10$ for all values of $x$, find the constants $p , q$ and $r$.
\hfill \mbox{\textit{OCR C1 2005 Q2 [4]}}