| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Proofs |
| Type | Logical implication symbols (⇒, ⇔, ⇐) |
| Difficulty | Easy -2.0 This is a basic logic question testing understanding of implication symbols with simple arithmetic examples. It requires only recognition of logical relationships (one-way vs two-way implication) with no mathematical computation or problem-solving—significantly easier than typical A-level questions which involve actual mathematical techniques. |
| Spec | 1.01b Logical connectives: congruence, if-then, if and only if |
| Answer | Marks |
|---|---|
| \(P \Leftarrow Q\) | B1 |
| Answer | Marks |
|---|---|
| \(R \Rightarrow S\) | B1 |
**Part (i)**
$P \Leftarrow Q$ | B1 |
**Part (ii)**
$R \Rightarrow S$ | B1 |1 (i) Statement P is $a + b = 4$.\\
Statement Q is $\quad a = 1$ and $b = 3$.\\
Which one of the following is correct?
$$\mathrm { P } \Rightarrow \mathrm { Q } , \quad \mathrm { P } \Leftrightarrow \mathrm { Q } , \quad \mathrm { P } \Leftarrow \mathrm { Q }$$
(ii) Statement R is $\quad x = 2$.
Statement S is $\quad x ^ { 2 } = 4$.
Which one of the following is correct?
$$R \Rightarrow S , \quad R \Leftrightarrow S , \quad R \Leftarrow S$$
\hfill \mbox{\textit{OCR MEI C1 Q1 [2]}}