Problem 1 Solution (use Polya's 4-step plan) In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly

Problem 1 Solution (use Polya's 4-step plan)

In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, he decides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of these rolls is 47. Which number occurred for the third time?

(An ordinary 6-sided die has the numbers from 1 through 6 on its sides)

1. Understand the problem

2. Devise a plan

3. Carry out the plan

4. Look back

Problem 2 Solution (use Polya's 4-step plan)

How many squares of all sizes are there on a standard 8-square by 8-square checkerboard?

1. Understand the problem

2. Devise a plan

3. Carry out the plan

4. Look backProblem 3 Solution (use Polya's 4-step plan)

How many toothpicks will be needed to make a 7 × 7 square?

1. Understand the problem

2. Devise a plan

3. Carry out the plan

4. Look back