Reasoning and Logic

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By Cosette Hockersmith

Multiple Choice

Inductive Reasoning means...

• Guessing
• Testing and observing patterns to make conjectures
• Explaining why
• Ura nok seblu!

Multiple Choice

Deductive reasoning means...

• Guessing without any information

• Sounding knowledgeable even when you are not

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

Multiple Choice

Since all humans are mortal, and I am human, then I am mortal. 

• Deductive
• Inductive

Multiple Choice

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

Multiple Choice

All chickens that we have seen have been brown; so, all chickens are brown. 

• Deductive
• Inductive

Multiple Choice

It is dangerous to drive on icy streets.  The streets are icy now so it is dangerous to drive now. 

• Deductive
• Inductive

Multiple Choice

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. 

• Deductive
• Inductive 

Multiple Choice

Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 

• Deductive
• Inductive

Multiple Choice

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 

• Deductive
• Inductive

Multiple Choice

IF Jimmy named his first child Thing1
AND his second child Thing2
THEN He will name his 3rd child Thing3

• Inductive
• Deductive

Multiple Choice

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Counterexample

A counterexample proves conjecture wrong

Example: All squares have four sides. I see a shape with four sides therefore it is a square.
Counterexample: It could be a rectangle

Multiple Choice

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Multiple Choice

Which is a counterexample to the following statement?

If an angle is obtuse, then it is $$125\degree$$ .

• $$90\degree$$  

• $$57\degree$$  

• $$160\degree$$  

• $$180\degree$$  

Multiple Choice

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 10
• -2
• 0
• True. There is no counterexample.