PROBLEM SOLVING AND REASONING

Which of the following is NOT a step in Polya’s problem-solving strategy?

• Understand the problem

• Devise a plan

• Guess and check

• Carry out the plan

Answer explanation

What is Inductive Reasoning?

• Using general principles to draw conclusions

• Observing specific cases to form a general conclusion

• Using trial and error

• Memorizing formulas

Deductive reasoning is best described as:

• Drawing a conclusion from general principles

• Making an assumption based on personal beliefs

• Observing patterns and forming a hypothesis

• Guessing the next number in a sequence

What is a conjecture?

• A proven mathematical fact

• A statement believed to be true but not yet proven

• A type of formula

• A solved problem

Proof by contradiction involves:

• Assuming the statement is false and finding a contradiction

• Writing a long explanation

• Checking every possible case

• Using trial and error

What is an example of a direct proof?

• Assuming the opposite is true

• Proving a statement using logical steps from given facts

• Guessing an answer

• Repeating the problem statement

If the sequence follows the pattern: 2, 5, 10, 17, 26, what is the next term?

• 35

• 38

• 37

• 39

What is the main goal of problem-solving?

• Memorizing formulas

• Applying logical reasoning to find a solution

• Using Trial and error

• Avoiding calculations

What should you do after solving a problem?

• Move on without checking

• Review the solution for correctness

• Memorize the answer

• Ask someone else to check it

A polygon with 10 sides has how many diagonals?

• 35

• 40

• 45

• 50