Mathematical Reasoning – Implications, Converse, Contrapositive

Grade 11 Maths — Mathematical Reasoning – Implications, Converse, Contrapositive: 25 practice questions with instant scoring and explanations.

1. An implication 'if p then q' is written as:
2. The implication p → q is false only when:
3. The contrapositive of 'If p then q' is:
4. The converse of 'If p then q' is:
5. An implication and its contrapositive are:
6. A statement and its converse are:
7. p → q is logically equivalent to:
8. The contrapositive of 'If x > 0, then x² > 0' is:
9. A biconditional statement 'p if and only if q' is written as:
10. p ↔ q is true when:
11. If 'If p then q' is true, and p is true, then:
12. The logical form of the statement 'p is necessary for q' is:
13. The logical form of the statement 'p is sufficient for q' is:
14. ¬(p → q) is logically equivalent to:
15. If the converse of p → q is true, does that mean p → q is true?
16. The contrapositive of 'If triangle is equilateral, then all angles are 60°' is:
17. A statement is a tautology if it is:
18. The statement p ∨ ¬p is a:
19. The statement p ∧ ¬p is a:
20. For the implication 'If 2 = 3, then 1 = 2', the truth value is:
21. The inverse of p → q is:
22. An implication p → q is equivalent to:
23. 'p unless q' is logically equivalent to:
24. If statement: 'If x² = 4, then x = 2', which is true?
25. p ↔ q can be written as: