| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Proof |
| Type | Logical statements and converses |
| Difficulty | Easy -1.2 This is a straightforward logic question requiring students to identify that the statement is false by providing a counterexample (x = -2 also satisfies x² = 4). It tests basic understanding of 'if and only if' statements but requires minimal calculation or extended reasoning. |
| Spec | 1.01b Logical connectives: congruence, if-then, if and only if |
Is the following statement true or false? Justify your answer.
$x^2 \geq 4$ if and only if $x \geq 2$ [2]1 Is the following statement true or false? Justify your answer.
$$x ^ { 2 } = 4 \text { if and only if } x = 2$$
\hfill \mbox{\textit{OCR MEI FP1 2007 Q1 [2]}}