Law of Syllogism Worksheet

This worksheet focuses on developing logical reasoning skills using the Law of Syllogism, suitable for 8th-grade math students.

Grade 8 Math Logic and ReasoningLaw of Syllogism

Use This Worksheet

Includes

Short AnswerTrue / FalseMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9

Topics

mathlogicsyllogismreasoninggrade 8

6 sections · Free to use · Printable

← More Math worksheets for Grade 8

Law of Syllogism Worksheet

Name:

Date:

Score:

Read each statement carefully and apply the Law of Syllogism to draw a valid conclusion. If no valid conclusion can be drawn, write 'No valid conclusion'.

1. If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has four right angles. Conclusion:

2. If it is raining, then the ground is wet. If the ground is wet, then the plants are watered. Conclusion:

3. If a number is divisible by 10, then it is divisible by 5. If a number is divisible by 5, then its last digit is 0 or 5. Conclusion:

Determine if the conclusion drawn from the given statements is true or false based on the Law of Syllogism.

4. Statement 1: If a student studies, then they will pass the test. Statement 2: If a student passes the test, then they will get a good grade. Conclusion: If a student studies, then they will get a good grade.

True

False

5. Statement 1: If an animal is a bird, then it has feathers. Statement 2: If an animal has feathers, then it can fly. Conclusion: If an animal is a bird, then it can fly.

True

False

6. Given the statements: P1: If a polygon has three sides, then it is a triangle. P2: If a polygon is a triangle, then it has three angles. Which of the following is a valid conclusion by the Law of Syllogism?

If a polygon has three angles, then it has three sides.

If a polygon has three sides, then it has three angles.

If a polygon is a triangle, then it has three sides.

A triangle has three sides.

Complete the following syllogisms by filling in the blank with a valid conclusion.

7. If today is Monday, then tomorrow is Tuesday. If tomorrow is Tuesday, then the day after tomorrow is Wednesday. Conclusion: If today is Monday, then

8. If an angle is acute, then its measure is less than 90 degrees. If an angle's measure is less than 90 degrees, then it is not a right angle. Conclusion: If an angle is acute, then