2.1 Inductive reasoning, conjectures, and counterexamples

2.1 Inductive reasoning, conjectures, and counterexamples

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

2.

FLASHCARD QUESTION

Front

Define conjecture in mathematics.

Back

A conjecture is an unproven statement or hypothesis that is based on observations or patterns.

3.

FLASHCARD QUESTION

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or conjecture.

4.

FLASHCARD QUESTION

Front

Find the next number in the sequence: 5, -10, 15, -20, ________

Back

25

5.

FLASHCARD QUESTION

Front

What is a valid counterexample for the statement: 'If an animal is a panther, then it lives in the forest.'?

Back

It lives in a zoo.

6.

FLASHCARD QUESTION

Front

Which is a counterexample of: If a four-sided shape has two sides the same length, then it must be a rectangle?

Back

Square.

7.

FLASHCARD QUESTION

Front

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

Back

42.

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