Truth Tables Worksheet
This worksheet covers the fundamentals of truth tables, including logical connectives and evaluating compound propositions for Grade 10 math students.
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Truth Tables Worksheet
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Read each question carefully and fill in the blanks or select the correct option. Construct truth tables as required.
1. A truth table is a mathematical table used in logic to compute the functional values of logical expressions on all their functional arguments, that is, on all combinations of values taken by their logical variables.
2. The logical connective 'AND' is represented by the symbol .
3. The logical connective 'OR' is represented by the symbol .
4. The logical connective 'NOT' is represented by the symbol .
5. Which of the following is the symbol for 'IF... THEN...' (implication)?
∧
∨
→
¬
6. A compound proposition that is always true, regardless of the truth values of its simple propositions, is called a:
Contradiction
Tautology
Contingency
Equivalence
7. Construct a truth table for the proposition ¬(P ∧ Q).
8. Construct a truth table for the proposition P → (Q ∨ R).
9. If P is true and Q is false, then P ∧ Q is true.
True
False
10. If P is false and Q is true, then P ∨ Q is false.
True
False
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