| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2013 |
| Session | November |
| Topic | Solving quadratics and applications |
| Type | Quadratic with surd roots, exact form |
| Difficulty | Moderate -0.8 This is a straightforward quadratic equation requiring either the quadratic formula or factorization. While it involves surds, the arithmetic is simple (discriminant = 3 + 72 = 75 = 25×3), and expressing roots in the form p√q is a routine skill. Easier than average A-level questions which typically involve more steps or conceptual depth. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.02f Solve quadratic equations: including in a function of unknown |
4 Solve the equation $x ^ { 2 } + ( \sqrt { 3 } ) x - 18 = 0$, giving each root in the form $p \sqrt { q }$ where $p$ and $q$ are integers.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2013 Q4}}