If Then Logic Worksheet
How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.
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- 1.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
- 2.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
- 3.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
- 4.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
- 5.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
- 6.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
- 7.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not get a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
- 8.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
- 9.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
- 10.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
- 11.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya goes to the park”? (a) must be true (b) must be false (c) can't tell
- 12.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
- 13.Rule: If the shop is open, then Ananya buys milk. Fact: Ananya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
- 14.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
- 15.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
- 16.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
- 17.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
- 18.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
- 19.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul does not get a gold star”? (a) must be true (b) must be false (c) can't tell
- 20.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not go to the park. What can you say about “Manav does not finish the homework”? (a) must be true (b) must be false (c) can't tell
- 21.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
- 22.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
- 23.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
- 24.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not go to the park. What can you say about “Ananya finishes the homework”? (a) must be true (b) must be false (c) can't tell
- 25.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
- 26.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
- 27.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
- 28.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
- 29.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not get a gold star. What can you say about “Farhan does not score above 90”? (a) must be true (b) must be false (c) can't tell
- 30.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira does not finish the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
- 31.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya buys milk”? (a) must be true (b) must be false (c) can't tell
- 32.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
- 33.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
- 34.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera does not finish the homework”? (a) must be true (b) must be false (c) can't tell
- 35.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
- 36.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
- 37.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel finishes the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
- 38.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
- 39.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
- 40.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
Answer key
- must be false
- can't tell
- can't tell
- can't tell
- can't tell
- can't tell
- must be true
- can't tell
- can't tell
- must be true
- must be true
- can't tell
- can't tell
- must be false
- can't tell
- must be true
- must be false
- must be false
- can't tell
- must be true
- can't tell
- can't tell
- must be true
- must be false
- can't tell
- must be false
- can't tell
- can't tell
- must be true
- can't tell
- can't tell
- can't tell
- must be false
- can't tell
- can't tell
- can't tell
- must be true
- must be false
- can't tell
- must be false
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