Inductive and Deductive Reasoning Challenge

What is the primary basis for making a conjecture in inductive reasoning?

• Hypotheses and experiments

• Observations and patterns

• Rules and laws

• Definitions and theorems

In the movie showtime example, what is the time interval between each show?

• 1 hour

• 2 hours

• 2 hours and 30 minutes

• 1 hour and 30 minutes

In the mathematical sequence example, what is the pattern in the increase of numbers?

• The increase is by a progressively smaller number

• The increase is always by 3

• The increase is always by 2

• The increase is by a progressively larger number

What is the basis for making a conjecture in deductive reasoning?

• Personal opinions

• Observations and patterns

• Rules and facts

• Hypotheses and experiments

How do detectives use deductive reasoning?

• By making generalized statements based on observations

• By guessing based on intuition

• By using facts about a case and rules of the law

• By conducting experiments

If Tim is Veronica's cousin and Veronica is David's twin, what can we deduce about Tim and David?

• Tim is David's cousin

• Tim is not related to David

• Tim is David's brother

• Tim is David's uncle

What does it mean if a ray bisects an angle in geometry?

• The angle is doubled

• The angle is divided into two equal parts

• The angle is divided into two unequal parts

• The angle is halved

What is a counterexample?

• An example that supports a statement

• An example that disproves a statement

• An example that is irrelevant to a statement

• An example that partially supports a statement

Which of the following is a correct counterexample to the statement 'All cars are red'?

• A red car

• A blue car

• A green car

• A yellow car

What is the range of angle measures for an obtuse angle?

• Less than 90 degrees

• Exactly 90 degrees

• Between 90 and 180 degrees

• More than 180 degrees