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Contrapositive Inference: Worksheet 6 - Intermediate-Advanced Practice Contrapositive Inference INTERMEDIATE ADVANCED

Ready to master Contrapositive Inference? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve contrapositive inference tricks, handle contrapositive inference shortcut methods, and perfect contrapositive inference bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Contrapositive Inference
Worksheet 6 of 10 (55% complete)

Question 1

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 2

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 3

Rule: If you water plants, they grow Observation: The plants didn't grow What can you logically infer?
This uses the contrapositive rule. The statement "If you water plants, they grow" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The plants didn't grow" (the consequence is false), we can conclude "They weren't watered" (the condition is false).

Question 4

Rule: If it's a square, it has four sides Observation: This shape doesn't have four sides What can you logically infer?
This uses the contrapositive rule. The statement "If it's a square, it has four sides" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "This shape doesn't have four sides" (the consequence is false), we can conclude "This is not a square" (the condition is false).

Question 5

Rule: If it's a holiday, schools are closed Observation: The school is open What can you logically infer?
This uses the contrapositive rule. The statement "If it's a holiday, schools are closed" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The school is open" (the consequence is false), we can conclude "It's not a holiday" (the condition is false).

Question 6

Rule: If you exercise regularly, you stay healthy Observation: John is not healthy What can you logically infer?
This uses the contrapositive rule. The statement "If you exercise regularly, you stay healthy" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "John is not healthy" (the consequence is false), we can conclude "John doesn't exercise regularly" (the condition is false).

Question 7

Rule: If it's raining, there are clouds Observation: There are no clouds What can you logically infer?
This uses the contrapositive rule. The statement "If it's raining, there are clouds" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "There are no clouds" (the consequence is false), we can conclude "It's not raining" (the condition is false).

Question 8

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 9

Rule: If the store is open, lights are on Observation: The lights are off What can you logically infer?
This uses the contrapositive rule. The statement "If the store is open, lights are on" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The lights are off" (the consequence is false), we can conclude "The store is closed" (the condition is false).

Question 10

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 11

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 12

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 13

Rule: If it's raining, there are clouds Observation: There are no clouds What can you logically infer?
This uses the contrapositive rule. The statement "If it's raining, there are clouds" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "There are no clouds" (the consequence is false), we can conclude "It's not raining" (the condition is false).

Question 14

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).

Question 15

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 16

Rule: If it's a holiday, schools are closed Observation: The school is open What can you logically infer?
This uses the contrapositive rule. The statement "If it's a holiday, schools are closed" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The school is open" (the consequence is false), we can conclude "It's not a holiday" (the condition is false).

Question 17

Rule: If you exercise regularly, you stay healthy Observation: John is not healthy What can you logically infer?
This uses the contrapositive rule. The statement "If you exercise regularly, you stay healthy" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "John is not healthy" (the consequence is false), we can conclude "John doesn't exercise regularly" (the condition is false).

Question 18

Rule: If it's sunny, we go to the beach Observation: We didn't go to the beach What can you logically infer?
This uses the contrapositive rule. The statement "If it's sunny, we go to the beach" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "We didn't go to the beach" (the consequence is false), we can conclude "It wasn't sunny" (the condition is false).

Question 19

Rule: If you water plants, they grow Observation: The plants didn't grow What can you logically infer?
This uses the contrapositive rule. The statement "If you water plants, they grow" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "The plants didn't grow" (the consequence is false), we can conclude "They weren't watered" (the condition is false).

Question 20

Rule: If you're over 18, you can vote Observation: Sarah cannot vote What can you logically infer?
This uses the contrapositive rule. The statement "If you're over 18, you can vote" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Sarah cannot vote" (the consequence is false), we can conclude "Sarah is under 18" (the condition is false).
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