ReasoningAges 16-18

Boolean logic evaluation

Evaluate compound Boolean expressions using NOT, AND and OR operators. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 16-18

Boolean logic evaluation

Take your time. Show your thinking.

1. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
2. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
3. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: NOT (P AND Q). (Write TRUE or FALSE.)
Given P = TRUE and Q = TRU… · Boolean logic evaluation
4. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: (NOT P) AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
5. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: NOT (P OR Q). (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
6. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
7. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = TRU… · Boolean logic evaluation
8. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
9. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
10. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
11. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
12. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation

12 questions · Seed 104732 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Boolean logic evaluation

Answers and reasoning. Review before teaching.

1. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
FALSE
Substituting P = TRUE and Q = FALSE into (NOT P) OR Q evaluates to FALSE.
2. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = TRUE into (NOT P) OR Q evaluates to TRUE.
3. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: NOT (P AND Q). (Write TRUE or FALSE.)
FALSE
Substituting P = TRUE and Q = TRUE into NOT (P AND Q) evaluates to FALSE.
4. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: (NOT P) AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = FALSE into (NOT P) AND Q evaluates to FALSE.
5. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: NOT (P OR Q). (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = FALSE into NOT (P OR Q) evaluates to TRUE.
6. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = TRUE into P AND Q evaluates to FALSE.
7. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = TRUE into (NOT P) OR Q evaluates to TRUE.
8. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = TRUE into P AND (NOT Q) evaluates to FALSE.
9. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = FALSE into P AND Q evaluates to FALSE.
10. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = FALSE into P OR Q evaluates to TRUE.
11. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = FALSE into P AND (NOT Q) evaluates to TRUE.
12. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = TRUE into P OR Q evaluates to TRUE.

12 questions · Seed 104732 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Boolean logic evaluation

Take your time. Show your thinking.

1. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
2. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
3. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: NOT (P AND Q). (Write TRUE or FALSE.)
Given P = TRUE and Q = TRU… · Boolean logic evaluation
4. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: (NOT P) AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
5. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: NOT (P OR Q). (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
6. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
7. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = TRU… · Boolean logic evaluation
8. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation
9. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = FA… · Boolean logic evaluation
10. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
11. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
Given P = TRUE and Q = FAL… · Boolean logic evaluation
12. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
Given P = FALSE and Q = TR… · Boolean logic evaluation

12 questions · Seed 104732 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Boolean logic evaluation

Answers and reasoning. Review before teaching.

1. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
FALSE
Substituting P = TRUE and Q = FALSE into (NOT P) OR Q evaluates to FALSE.
2. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = TRUE into (NOT P) OR Q evaluates to TRUE.
3. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: NOT (P AND Q). (Write TRUE or FALSE.)
FALSE
Substituting P = TRUE and Q = TRUE into NOT (P AND Q) evaluates to FALSE.
4. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: (NOT P) AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = FALSE into (NOT P) AND Q evaluates to FALSE.
5. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: NOT (P OR Q). (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = FALSE into NOT (P OR Q) evaluates to TRUE.
6. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = TRUE into P AND Q evaluates to FALSE.
7. Given P = TRUE and Q = TRUE, evaluate the Boolean expression: (NOT P) OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = TRUE into (NOT P) OR Q evaluates to TRUE.
8. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = TRUE into P AND (NOT Q) evaluates to FALSE.
9. Given P = FALSE and Q = FALSE, evaluate the Boolean expression: P AND Q. (Write TRUE or FALSE.)
FALSE
Substituting P = FALSE and Q = FALSE into P AND Q evaluates to FALSE.
10. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = FALSE into P OR Q evaluates to TRUE.
11. Given P = TRUE and Q = FALSE, evaluate the Boolean expression: P AND (NOT Q). (Write TRUE or FALSE.)
TRUE
Substituting P = TRUE and Q = FALSE into P AND (NOT Q) evaluates to TRUE.
12. Given P = FALSE and Q = TRUE, evaluate the Boolean expression: P OR Q. (Write TRUE or FALSE.)
TRUE
Substituting P = FALSE and Q = TRUE into P OR Q evaluates to TRUE.

12 questions · Seed 104732 · Age guidance, not curriculum certification