Reasoning

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

What is the rule for this pattern?

32,36,40,44

• add 4

• multiply 2

• subtract 4

• divide by 2

Using the statements:

If it is Friday, then I will get paid.

It is Friday.

What is the conclusion?

• It is not Friday

• It is Friday

• I will not get paid

• I will get paid

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, then...

• Look out for the snowplows while driving to school.

• The big test will not be given today.

• The roads will be hard to drive on.

• You should call the school to see if school is canceled.

All chickens that we have seen have been brown.

Using inductive reasoning what can we conclude?

• All chickens are brown

• All birds are chickens

• There are different breeds of chickens here

• We cannot conclude anything.

Identify the hypothesis and conclusion of the conditional statement:

If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend

  Conclusion: you give me twenty dollars

• Hypothesis: you give me twenty dollars

  Conclusion: I will be your best friend

• Hypothesis: if you have to pay for friends

  Conclusion: then you probably should reevaluate your life

• Hypothesis: you will not have to pay twenty dollars

  Conclusion: if you have lots of friends

If something is a vehicle, then it is a Ford. What is an appropriate counterexample?

• Ford Mustang

• Dodge Charger

• Ford F150

• Ford C-Max

When taking the converse of a conditional statement, we ___________ the hypothesis and conclusion.

• negate

• switch

• highlight

• switch and negate

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

• If you are late to school, then you will miss the bus.

• If you miss the bus, then you will be late to school

• If you sleep late, then you don't have to go to school.

• If you miss the bus, then you'll have to walk and be late.

Original: If Emily is not late to class, then she will not be marked tardy.

What is this? If Emily is late to class, then she will be marked tardy.

• Converse

• Inverse

• Contrapositive

• Negation