Haruka has noticed that it always seems to smell nice just before it rains. One day she smells the “rain smell” and thinks it will rain soon.

Haruka is using ____to form a ____.

Select one:

a.
deductive reasoning, conclusion

b.
inductive reasoning, conjecture

c.
inductive reasoning, paradox

d.
deductive reasoning, premise

b. inductive reasoning, conjecture

Read the following statement.

All adults were once children and all children like to play, so Grandpa must have liked to play at one time.

Select the premise(s) and conclusion that best fit the scenario.

Select one:

a.
Premise(s): grandpa used to like to play

Conclusion: grandpa used to be a child

b.
Premise(s):

• all adults were children

• all children like to play

• grandpa used to be a child

Conclusion: grandpa used to like to play

c.
Premise(s): all children like to play

Conclusion: grandpa used to like to play

d.
Premise(s):

• grandpa used to like to play

• all adults were children

• grandpa used to be a child

Conclusion: all children like to play

b. Premise(s):

• all adults were children

• all children like to play

• grandpa used to be a child

Conclusion: grandpa used to like to play

Read the following statement:

All fish have gills and, therefore, cannot breathe air.

The best counterexample to the statement is

Select one:

a.
A crab has gills and therefore cannot breathe air.

b.
A lungfish has simple lungs and can be in air or water.

c.
A crocodile has lungs and lives in water and on land.

d.
A perch has no lungs and therefore must live in the water.

b. A lungfish has simple lungs and can be in air or water.

Read the following statement:

Eric plays hockey and is in the NHL, therefore everyone in the NHL plays hockey.

The statement is best described as

Select one:

a.
correct reasoning

b.
flawed reasoning

c.
paradoxical reasoning

d.
circular reasoning

b. flawed reasoning

The statement that uses circular reasoning is

Select one:

a.
A square has 4 sides of equal length and 4 angles that measure 90°.

b.
Lisa is wearing plaid pajama pants so Lisa likes plaid.

c.
The sum of the angles in a triangle is 180° because each angle in an equilateral triangle is 60°.

d.
All right triangles also contain two acute angles.

c. The sum of the angles in a triangle is 180° because each angle in an equilateral triangle is 60°.

Fred, Ginger, Roger, and Esther are siblings. One is a farmer, one is a dog trainer, one is a rodeo clown, and one is a teacher.

• Esther and Roger eat supper with the rodeo clown.

• Ginger and Fred play cards with the dog trainer.

• Roger plays basketball with the dog trainer and the farmer.

The dog trainer is

Select one:

a.
Ginger

b.
Fred

c.
Roger

d.
Esther