Inductive Reasoning in Geometry

What is the primary goal of inductive reasoning in mathematics?

• To prove mathematical theorems

• To solve equations

• To find patterns and make predictions

• To memorize formulas

In the sequence 88, 82, 76, 70, what are the next two terms?

• 66, 60

• 62, 56

• 58, 52

• 64, 58

What is a conjecture in the context of inductive reasoning?

• A random guess

• A mathematical formula

• An unproven statement based on patterns

• A proven mathematical theorem

How many dots are in the sixth term of the pattern described by the equation n(n+1)?

• 36

• 30

• 41

• 42

What percentage of voters was approximately consistent each year in the given example?

• 12%

• 11.09%

• 10.99%

• 9%

How many members would you expect in the Chess Club in its fifth year if the pattern continues?

• 28

• 26

• 25

• 27

What is a counterexample?

• An example that supports a conjecture

• An example that disproves a conjecture

• A random example

• An example that is irrelevant

Which polygon serves as a counterexample to the conjecture that a polygon with diagonals has two fewer diagonals than sides?

• Triangle

• Square

• Pentagon

• Hexagon

What is the sum of the digits of 27, and is it a multiple of 9?

• 7, No

• 6, Yes

• 9, Yes

• 8, No

If a number is divisible by 4, what should be true about the sum of its last two digits?

• It should be even

• It should be a multiple of 4

• It should be odd

• It should be a prime number