| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | January |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Proof |
| Type | Parity and evenness proofs |
| Difficulty | Easy -1.2 This is a straightforward proof requiring only basic algebraic manipulation: factorising n² + n = n(n+1) and recognising that consecutive integers always include one even number. It's simpler than average A-level questions as it requires just one key insight and minimal steps for 2 marks. |
| Spec | 1.01a Proof: structure of mathematical proof and logical steps |
$n$ is a positive integer. Show that $n^2 + n$ is always even. [2]
\hfill \mbox{\textit{OCR MEI C1 2006 Q1 [2]}}