# Sample Problem Solving In Math

To create procedures, you have to be familiar with the problem situation and be able to collect the appropriate information, identify a strategy or strategies, and use the strategy appropriately. When deciding on methods or procedures to use to solve problems, the first thing you will do is look for clues, which is one of the most important skills in solving problems in mathematics.If you begin to solve problems by looking for clue words, you will find that these words often indicate an operation. The first thing to do when you encounter a math problem is to look for clue words.

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These techniques may involve reorganizing a problem into simpler terms, breaking a problem into steps, making a plan about how to proceed, determining the best way to solve a problem, pulling out key ideas, etc.

Being systematic in problem solving requires students to: Systematic problem solving often involves "step-wisdom," knowing that the best way to solve a particular problem may be to break it up into a series of logical steps, rather than to try to solve it all at once.

Then she has $x-\frac\cdot x=\frac\cdot x$ pages left.

$\frac\cdot x-\frac\cdot x=90$ $\frac\cdot x=90$ $x=270$So the book is 270 pages long.

Successful problem solvers are methodical, or systematic, in their problem solving.

They are as concerned with the techniques they are using as they are with obtaining the right answer.If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? This must be equal to 360.x = 360$$x = \frac$$x = 120$Therefore, the salesman sold 120 kg in the morning and \cdot 120 = 240$ kg in the afternoon. Together the three of them picked 26 kg of chestnuts. So $x 2x x 2=26$x=24x=6$Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.Solution: Let$x$be the number of kilograms he sold in the morning. Problem 2 Mary, Peter, and Lucy were picking chestnuts. Solution: Let$x$be the total number of pages in the book, then she finished$\frac\cdot x\$ pages.Ask yourself exactly what type of information is being asked for: Is it one of addition, subtraction, multiplication, or division?Then determine all the information that is being given to you in the question.Many problems are multistep and require some type of systematic approach.There are a couple of things you need to do when solving problems.This will let you know what kind of problem you’re dealing with.Then do the following: Read the problem carefully, and decide on a method to solve the problem.These resources are designed to help potential university applicants develop their advanced problem-solving skills and prepare for sitting examinations such as STEP.The material has been carefully selected to provide an accessible and supportive introduction to advanced problem-solving, and to help you build your confidence, fluency and speed.