| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2011 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Trig Proofs |
| Type | Logical implication symbols (⇒, ⇔, ⇐) |
| Difficulty | Easy -1.2 This is a straightforward logic question testing understanding of implication symbols with simple mathematical contexts. It requires only basic reasoning about definitions (quadrilaterals, odd/even integers, primes) rather than any calculation or proof technique, making it easier than typical A-level questions which involve actual mathematical manipulation. |
| Spec | 1.01b Logical connectives: congruence, if-then, if and only if |
10 Select the best statement from
$$\begin{aligned}
& \mathbf { P } \Rightarrow \mathbf { Q } \\
& \mathbf { P } \Leftarrow \mathbf { Q } \\
& \mathbf { P } \Leftrightarrow \mathbf { Q }
\end{aligned}$$
none of the above\\
to describe the relationship between P and Q in each of the following cases.\\
(i) P : WXYZ is a quadrilateral with 4 equal sides\\
$\mathrm { Q } : \mathrm { WXYZ }$ is a square\\
(ii) P: $n$ is an odd integer
Q : $\quad ( n + 1 ) ^ { 2 }$ is an odd integer\\
(iii) P: $n$ is greater than 1 and $n$ is a prime number
Q : $\sqrt { n }$ is not an integer
\hfill \mbox{\textit{OCR MEI C1 2011 Q10 [3]}}