Geo 2.1 Inductive Reasoning Pre-Test

Front

What is a counterexample?

Back

An example that disproves a statement or hypothesis.

Front

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

Back

42

Front

What is the rule for the pattern: 65, 62, 59, 56, 53, 50?

Back

Subtract 3.

Front

What is a conjecture?

Back

A statement believed to be true based on observations.

Front

What are the next two numbers in the pattern: 12, 17, 22, 27, ___, ___?

Back

32, 37.

Front

What does it mean for a number to be divisible by another number?

Back

It means that when you divide the first number by the second, the result is a whole number with no remainder.

Front

Provide an example of a number that is divisible by 2 but not by 4.

Back

6.

Front

What is the definition of inductive reasoning?

Back

A method of reasoning in which a general rule or conclusion is inferred from specific cases.

Front

What is the difference between a conjecture and a theorem?

Back

A conjecture is a statement believed to be true, while a theorem is a statement that has been proven to be true.

Front

What is a pattern in mathematics?

Back

A sequence of numbers or shapes that follows a specific rule.