POLYA's METHOD

Direction: Solve the following problems using Polya's Four-step method and employing the different strategies:

Step1: Understand the problem.

Step2: Devise a plan (translate).

Step3: Carry out the plan (solve).

Step4: Look back (check and interpret).

1. It is now 10:45 a.m., what time will it be in 143,999,999,995 minutes from now?

2. The sum of two numbers is 12, and the product of the same two numbers is 4. Find the sum of the

reciprocals of the two numbers.

3. Find the sum of the first 100 even integers.

4. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how

many eggs there were in all. However, he did remember that when he tried to pack them into packages

of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had

none left over. What is the smallest number of eggs he could have had in shipment?