# Mathematics Solving Problems Questions 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.This is one of the most important skills you can develop.There is also a discussion forum to support Y12 and Y13 students preparing for STEP and other advanced mathematics examinations.

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.This is one of the most important skills you can develop.There is also a discussion forum to support Y12 and Y13 students preparing for STEP and other advanced mathematics examinations.

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There are a couple of things you need to do when solving problems.

Ask yourself exactly what type of information is being asked for: Is it one of addition, subtraction, multiplication, or division?

Once you’ve identified your clue words, highlight or underline them.

This will let you know what kind of problem you’re dealing with.

The ideas below, which provide you with general steps or strategies to solve math problems, are similar to those expressed in Pólya’s book and should help you untangle even the most complicated math problem.

Learning how to solve problems in mathematics is knowing what to look for.Then determine all the information that is being given to you in the question.Mathematician George Pólya’s book, “How to Solve It: A New Aspect of Mathematical Method,” written in 1957, is a great guide to have on hand.The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum.The lessons are organised by level and curriculum strand.You may also be interested in Stephen Siklos's book, Advanced Problems in Mathematics: Preparing for University, which can be downloaded for free.We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.Using the Quadratic Equation Solver we get −14 and 12.Check −14: −14(−14 2) = (−14)×(−12) = 168 YES Check 12: 12(12 2) = 12×14 = 168 YES So there are two solutions: -14 and -12 is one, 12 and 14 is the other.If you begin to solve problems by looking for clue words, you will find that those words often indicate an operation.This, of course, means looking for clue words as outlined in the previous section.

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