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Truth Tables Worksheet

This worksheet covers the fundamentals of truth tables, including logical connectives and evaluating compound propositions for Grade 10 math students.

Grade 10 Math Logic and ReasoningTruth Tables
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HS.N-VM.A.1

Topics

mathlogictruth tablesgrade 10
6 sections · Free to use · Printable
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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)?

a

b

c

d

¬

6. A compound proposition that is always true, regardless of the truth values of its simple propositions, is called a:

a

Contradiction

b

Tautology

c

Contingency

d

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.

T

True

F

False

10. If P is false and Q is true, then P ∨ Q is false.

T

True

F

False