| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2024 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Proof |
| Type | Algebraic inequality proof |
| Difficulty | Standard +0.3 This is a straightforward algebraic proof requiring rearrangement to standard form, completing the square or using the discriminant to show the quadratic is always positive. It's slightly easier than average as it's a direct application of standard techniques with no conceptual surprises, though it does require recognizing the proof strategy. |
| Spec | 1.01a Proof: structure of mathematical proof and logical steps1.02g Inequalities: linear and quadratic in single variable |
Prove that $x - 10 < x^2 - 5x$ for all real values of $x$. [4]
\hfill \mbox{\textit{WJEC Unit 1 2024 Q8 [4]}}