Problem Solving and Reasoning Quiz ng bebi

What is the first step in Polya's guidelines for problem solving?

• Insight

• Verification

• Thinking Time

• Preparation

What type of reasoning is used to predict future outcomes based on observed patterns?

• Inductive Reasoning

• Analogical Reasoning

• Deductive Reasoning

• Abductive Reasoning

What is a conjecture in mathematics?

• A proven mathematical statement

• A false statement

• A statement that appears likely to be true but has not been proven

• A statement based on deductive reasoning

What is the next number in the sequence: 5, 10, 15, 20, 25, ...?

• 28

• 35

• 30

• 32

What is the correct conclusion from the following premises: All electronic devices are useful. My cell phone is an electronic device.

• My cell phone is useful

• My cell phone is not useful

• All electronic devices are not useful

• All electronic devices are harmful

Using inductive reasoning, what is the next number in the sequence: 1, 3, 6, 10, 15, ...?

• 18

• 20

• 21

• 24

How many different gender combinations are possible in a family with five children, assuming order matters?

• 20

• 25

• 10

• 15

Identify the pattern in the sequence: 4, 9, 14, 19, ____. What comes next?

• 22

• 25

• 23

• 24

Which of the following numbers can be used to show that the product of two integers is positive, but their sum is not always positive?

• 5 and -5

• 5 and 5

• 1 and 25

• -1 and 25

If x^2 = 4, then x = 2 is the solution. Find a counterexample that disproves this conjecture.

• 1

• 3

• 0

• -2