Efficient Math problem solving

Faster math problem solving in a few steps

Under this section we will solve typical math problems that a student might find difficult when preparing for competitive tests such as SSC CGL, CAT, GRE etc. We will also cover Secondary school level or even occasionally Olympiad level problems.

The chief criteria that will be common to the problems here will be three:

  1. The problem should not require too much math knowledge to solve,
  2. The problem should have an inherent difficulty for most of the students or may be too lengthy and,
  3. The problem must be solvable following an elegant method in a very short time.

We don't like to deal with laborious problems. Generally each of these problems can be solved in a number of ways.

As we teach efficient problem solving as a subject, we will always try to find the easiest way to solve a problem explaining the strategy and the process that were required to reach such a quick solution.

It means, each problem and its solution that we explain here won't just be for that specific problem. More importantly, the underlying concepts about how the solution was reached efficiently and in very quick time, form the most valuable treasure to be recognized and owned by the student by understanding the concepts and applying the concepts in future problems.

How to solve a School Math problem in a few simple steps, Trigonometry 2

thumb_How to solve a school math problem in a few simple steps Trigonometry 2

The conventional approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. Following only this approach to solving problems, students may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities...

How to solve School Math problem in a few steps, Trigonometry 1

thumb_School maths in a few steps Trigonometry 1

The mechanical approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. In fact, if students follow only this approach of solving problems, they may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities...

How to solve a complex SSC CGL level Algebra problem lightning fast

thumb_How to solve a complex problem lightning fast

Is it actually possible to solve complex problems that appear in usual Competitive tests easily within a minute? Answer is a firm Yes, but with some conditions. To home in straight to the solution using only your mind and no pen and paper, we can say with experience that you need not have a great talent or very high level of intelligence, but...

How to solve similar problems in a few seconds, Profit and loss problem 2, Domain modeling

thumb_How to solve in a few seconds profit and loss problem 2, Domain modeling

A man sells two wrist watches one at a profit of 50% and another at a loss of 50%, but each at a same selling price of Rs.300. The net profit or loss is...This type of problem can be solved in a few seconds if you can form its Domain model by Abstraction and Repeated solving of similar problems with controlled variation...

How to solve in a few steps, Profit and loss problem 1

thumb_How to solve in a few steps profit and loss problem 1

A man sells two wrist watches one at a profit of 30% and another at a loss of 30%, but each at a same selling price of Rs.400. The net profit or loss is...This type of problem can be solved following clear steps based on basic concepts of profit and loss only. This is conventional approach of problem solving...

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