Law of Syllogism Worksheet
A Grade 6 math worksheet focusing on understanding and applying the Law of Syllogism to draw logical conclusions.
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Law of Syllogism
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Read each statement carefully and use the Law of Syllogism to determine the correct conclusion. The Law of Syllogism states that if 'If P, then Q' and 'If Q, then R' are true statements, then 'If P, then R' is a true statement.
1. If it is raining, then the ground is wet. If the ground is wet, then the grass is slippery. Therefore, if it is raining, then the .
2. If a figure is a square, then it has four equal sides. If a figure has four equal sides, then it is a rhombus. Therefore, if a figure is a square, then it is a .
3. If a number is even, then it is divisible by 2. If a number is divisible by 2, then it can be written as 2n. Therefore, if a number is even, then it can be .
4. Read the following statements: Statement 1: If I study hard, then I will get good grades. Statement 2: If I get good grades, then I will go to a good college. Which of the following is the logical conclusion?
If I go to a good college, then I will study hard.
If I study hard, then I will go to a good college.
If I get good grades, then I will study hard.
If I go to a good college, then I will get good grades.
5. Statement 1: If an animal is a dog, then it barks. Statement 2: If an animal barks, then it has fur. Conclusion: If an animal is a dog, then it has fur. Is this conclusion true according to the Law of Syllogism?
True
False
6. Statement 1: If a shape is a triangle, then it has three sides. Statement 2: If a shape has three sides, then it is a polygon. Conclusion: If a shape is a polygon, then it is a triangle. Is this conclusion true according to the Law of Syllogism?
True
False
7. Write your own example of two statements and a conclusion that follows the Law of Syllogism.