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Mathematics
Professional Development
INDUCTIVE AND DEDUCTIVE REASONING
15 questions
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- 1. Multiple Choice
The Giants have lost their last seven games. Thus, they will probably lose their next game.
What type of reasoning was used?
Inductive
Deductive
- 2. Multiple Choice
All students go to school. You are a student. Therefore you go to school.
What type of reasoning was used?
Inductive
Deductive
- 3. Multiple Choice
In the first month of school, Ian is late every Monday so he will be late next Monday too.
What type of reasoning was used?
Inductive
Deductive
- 4. Multiple Choice
Since today is Friday, tomorrow will be Saturday.
What type of reasoning was used?
Inductive
Deductive
- 5. Multiple Choice
Since it rained every christmas day for the past four years it will rain on christmas day this year.
What type of reasoning was used?
Inductive
Deductive
- 6. Multiple Choice
A child examines ten tulips from a crop, all of them are red, and concludes that all tulips must be red.
What type of reasoning was used?
Inductive
Deductive
- 7. Multiple Choice
Which of the following shows inductive reasoning?
Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.
Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded.
All observed houses on South Street have roofs that are falling apart. Sherry lives on South Street. Her roof is falling apart.
- 8. Multiple Choice
The type of reasoning where a person makes conclusions based on observations and patterns is called...
Inductive reasoning
Conjecture
Deductive reasoning
Experiments
- 9. Multiple Choice
What does deductive reasoning use to form its arguments?
patterns
observed examples
specific cases
recognized rules, laws and theories
- 10. Multiple Choice
Determine if inductive or deductive reasoning is being used.
Matt knows that high school football games are on Friday nights. Since today is Friday, he concludes there will be a football game tonight.
Inductive
Deductive
- 11. Multiple Choice
Determine if inductive or deductive reasoning was used.
In order to gamble at a casino, you must be at least 21 years old.
Isaiah is gambling at a casino.
Therefore, he must be at least 21 years old.
Inductive
Deductive
- 12. Multiple Choice
Determine if the reasoning is valid or invalid based on the Law of Syllogism.
If you have given birth, then you are female.
Monica has given birth.
Therefore, Monice is female.
Valid
Invalid
- 13. Multiple Choice
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?
It is not Friday
I will not get paid
It is Friday
I will get paid
- 14. Multiple Choice
Which of the following describes inductive reasoning?
Testing and observing patterns to make conjectures
Explaining why
Making general observations of situations and applying them to specific situations.
- 15. Multiple Choice
Which of the following uses generalizations to make specific conclusions.
Deductive Reasoning
Inductive Reasoning
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