| 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 | Moderate -0.5 This is a C1 question testing understanding of logical implication symbols through simple algebraic examples. It requires recognizing whether statements are one-way implications or equivalences, which is conceptually important but the mathematics involved (solving a quadratic, considering cube functions) is straightforward. Easier than average since it's testing logic notation rather than complex mathematical manipulation. |
| Spec | 1.01b Logical connectives: congruence, if-then, if and only if |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| (i) \(\Leftarrow Q\) | 1 | Condone omission of P and Q |
| (ii) \(\Leftrightarrow Q\) | 1 | |
| [2] |
## Question 7:
| Answer | Marks | Guidance |
|--------|-------|----------|
| (i) $\Leftarrow Q$ | 1 | Condone omission of P and Q |
| (ii) $\Leftrightarrow Q$ | 1 | |
| **[2]** | | |7 In each of the following cases choose one of the statements
$$\mathrm { P } \Rightarrow \mathrm { Q } \quad \mathrm { P } \Leftrightarrow \mathrm { Q } \quad \mathrm { P } \Leftarrow \mathrm { Q }$$
to describe the complete relationship between P and Q .\\
(i) P: $x ^ { 2 } + x - 2 = 0$
Q: $x = 1$\\
(ii) P: $y ^ { 3 } > 1$
Q: $y > 1$
\hfill \mbox{\textit{OCR MEI C1 Q7 [2]}}