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Contrapositive Inference - Absolute-Beginner Level: core concept mastery Contrapositive Inference ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Contrapositive Inference - a key topic in Inference. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master contrapositive inference problems, contrapositive inference reasoning questions, and contrapositive inference practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Contrapositive Inference
Worksheet 1 of 10 (0% complete)

Question 1

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 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 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 4

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 5

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 6

Rule: If you eat sugar, your energy increases Observation: Tom's energy didn't increase What can you logically infer?
This uses the contrapositive rule. The statement "If you eat sugar, your energy increases" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Tom's energy didn't increase" (the consequence is false), we can conclude "Tom didn't eat sugar" (the condition is false).

Question 7

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 8

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 9

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

Question 10

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 11

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 12

Rule: If you eat sugar, your energy increases Observation: Tom's energy didn't increase What can you logically infer?
This uses the contrapositive rule. The statement "If you eat sugar, your energy increases" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Tom's energy didn't increase" (the consequence is false), we can conclude "Tom didn't eat sugar" (the condition is false).

Question 13

Rule: If it's a dog, it has fur Observation: Max doesn't have fur What can you logically infer?
This uses the contrapositive rule. The statement "If it's a dog, it has fur" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Max doesn't have fur" (the consequence is false), we can conclude "Max is not a dog" (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 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 17

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 18

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 19

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 20

Rule: If you eat sugar, your energy increases Observation: Tom's energy didn't increase What can you logically infer?
This uses the contrapositive rule. The statement "If you eat sugar, your energy increases" is logically equivalent to its contrapositive: 'If NOT consequence, then NOT condition.' Since we observe "Tom's energy didn't increase" (the consequence is false), we can conclude "Tom didn't eat sugar" (the condition is false).
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