Truth Tables Worksheet
Explore the fundamentals of logic with this Grade 7 worksheet on truth tables, covering conjunction, disjunction, negation, and conditional statements.
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Truth Tables: Grade 7 Logic
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Read each question carefully and fill in the truth tables or answer the questions as directed.
A truth table is a mathematical table used in logic to compute the functional values of logical expressions on each of their functional arguments, that is, on each combination of values taken by their logical variables.
The basic logical operations we will be working with are:
• NOT (Negation): Reverses the truth value. If P is true, NOT P is false.
• AND (Conjunction): True only if both statements are true.
• OR (Disjunction): True if at least one statement is true.
1. Complete the truth table for NOT P.
P
NOT P
True
False
2. Complete the truth table for P AND Q.
P
Q
P AND Q
True
True
True
False
False
True
False
False
3. Complete the truth table for P OR Q.
P
Q
P OR Q
True
True
True
False
False
True
False
False
4. If statement P is 'The sky is blue' (True) and statement Q is 'Grass is purple' (False), what is the truth value of 'P AND Q'?
5. Using the same statements from question 4, what is the truth value of 'P OR Q'?
6. If statement R is 'Today is Monday' (True), what is the truth value of 'NOT R'?
7. Which logical operation is true only when both statements are true?
NOT
OR
AND
IF...THEN
8. If a statement P is False, what is the truth value of NOT P?
True
False
Sometimes True
Cannot be determined
9. If P is True and Q is False, then (P AND Q) is True.
True
False
10. If P is False and Q is True, then (P OR Q) is True.
True
False