| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Proof |
| Type | Existence of greatest/smallest element |
| Difficulty | Moderate -0.5 This is a straightforward proof by contradiction requiring only basic logic: assume a greatest even positive integer n exists, then n+2 is even and greater, yielding a contradiction. The structure is simpler than typical proof questions and requires no advanced mathematical techniques, making it easier than average but not trivial since students must construct a formal proof. |
| Spec | 1.01d Proof by contradiction |
6 Prove by contradiction that there is no greatest even positive integer.
\hfill \mbox{\textit{OCR H240/01 Q6 [3]}}