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Problem Solving Strategies

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More Lessons for Arithmetic

Math Worksheets

The following are some examples of problem solving strategies.

Explore it//Act it/Try it (EAT) method (Basic)

Explore it//Act it/Try it (EAT) method (Intermediate)

Explore it//Act it/Try it (EAT) method (Advanced)

Finding a Pattern (Basic)

Finding a Pattern (Intermediate)

Finding a Pattern (Advanced)

Explore It/Act It/Try It (EAT) Method (Basic)

In this lesson, we will look at some basic examples of the Explore it//Act it/Try it (EAT) method of problem solving strategy.


A plumber has to connect a pipe from a storage tank at the corner, S, of the roof to a tap at the diagonally opposite corner, T, in the figure below. Find the number of paths for the pipe if the pipe can only run along the edges of walls A, B, or roof C.


Three stamps are to be torn from a sheet of nine stamps as shown below. The three stamps must be intact so that each stamp is joined to another stamp along at least one edge. Find the possible patterns for these three stamps.


Rachel has to spend exactly $100 on the following gifts. What are the combinations of gifts that she can buy?


B, E, F or B, D



The figure below shows 9 matchsticks arranged as an equilateral triangle. Rearrange exactly 5 of the matchsticks to form 5 equilateral triangles, without leaving any stray matchsticks.



The figure below shows the roads linking cities R and S. What are the different routes to travel from R to S?


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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