| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2012 |
| Session | January |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Proof |
| Type | Proof by exhaustion with cases |
| Difficulty | Standard +0.8 This requires understanding modular arithmetic or systematic case analysis of units digits (0-9 cubed), which goes beyond routine calculation. While only worth 2 marks and solvable by checking 10 cases, it demands mathematical reasoning about number properties rather than applying standard calculus/algebra techniques typical of C3, making it moderately harder than average. |
| Spec | 1.01c Disproof by counter example |
Prove or disprove the following statement:
'No cube of an integer has 2 as its units digit.' [2]
\hfill \mbox{\textit{OCR MEI C3 2012 Q4 [2]}}