Reasoning and Proofs

Find the missing numbers.
520, ____, 560, 580, ____

• 540, 590
• 540, 600
• 525, 590
• 510, 590

What comes next?
4, 6, 8, 10, ____

• 12
• 13
• 11
• 20

What number comes next? 
18, 16, 14, 12, ______.

• 14
• 13
• 10
• 8

5, 20, 80, ____

• 320

• 220

• 520

• 620

9, 18, 27, 36, 45, ____

• 54

• 76

• 63

• 81

Use deductive Reasoning

If you passed the final, then you pass the class. You passed the final.

• You passed the class.

• You didn't pass the class

• Not possible

If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today.

Using deductive reasoning, what statement can you make based on this information?

• Lots of people will buy pizza.

• The school cafeteria sells pizza.

• Greg will eat four pieces of pizza.

• Greg needs to go on a diet.

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

What is the inverse to this statement?

• If you live in Canada, you live in Montreal
• If you don't live in Montreal, then you don't live in Canada.
• If you don't live in Canada, you don't live in Montreal.
• Montreal is in Brazil.