Mathematical Reasoning – Statements, Negation, Compound Statements

Grade 11 Maths — Mathematical Reasoning – Statements, Negation, Compound Statements: 25 practice questions with instant scoring and explanations.

1. A mathematical statement is:
2. The negation of the statement 'x is positive' is:
3. If statement p is true, then ¬p (negation of p) is:
4. A compound statement formed using 'and' (∧) is true when:
5. A compound statement formed using 'or' (∨) is true when:
6. The truth table for p ∧ q (p and q) has how many true cases?
7. The truth table for p ∨ q (p or q) has how many true cases?
8. The negation of (p ∧ q) is:
9. The negation of (p ∨ q) is:
10. Which is De Morgan's Law?
11. The statement 'p and not q' is written as:
12. If p is 'The number is positive' and q is 'The number is even', then p ∧ q means:
13. The law p ∨ ¬p is called:
14. The law p ∧ ¬p is always:
15. p ∨ (q ∧ r) is logically equivalent to:
16. p ∧ (q ∨ r) is logically equivalent to:
17. The commutative law for 'and' states:
18. The idempotent law states:
19. The law of double negation states:
20. If statement p: '5 > 3' is true, then ¬p is:
21. The conjunction of p: 'x > 0' and q: 'x < 1' is:
22. p ∨ (p ∧ q) simplifies to:
23. p ∧ (p ∨ q) simplifies to:
24. The statement 'not (p or q)' is equivalent to:
25. In a truth table for two statements, there are: