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 Arithmetic mixture problems in a few simple steps 1

thumb_How to solve arithmetic mixing problems in a few simple steps 1

The problems involving Mixture of liquids (and sometimes solids in alloy form) are taught in schools and also form an important part of most of the competitive job tests such as SSC CGL, Bank POs etc. This subtopic belongs to Arithmetic and we have found that students find some difficulties in solving these problems...

How to solve difficult Algebra problems in a few simple steps 3

thumb_How to solve algebra problems in a few simple steps 3

This is the third offering on Algebra problem simplification, presenting more novel faces of Algebra problems. But then it is always possible to solve such problems in a few steps using basic and rich algebra concepts along with powerful problem solving strategies and techniques...

How to solve difficult Algebra problems in a few simple steps 2

thumb_How to solve algebra problems in a few simple steps 2

Algebra is a discipline of symbol manipulation and usual problems involve only a few basic concepts. But to solve relatively more complex problems in a few simple steps we need to build our rich concept set specific to Algebra as well as use powerful general problem solving strategies and techniques. This is the second offering on Algebra problem simplification...

How to solve difficult Algebra problems in a few simple steps 1

thumb_How to solve algebra problems in a few simple steps 1

Algebra is a discipline of symbolic expression manipulation and usual problems involve only a few basic concepts. Apparently Algebra problems should not be difficult to solve, but it is not always so. When we face such exceptions of problems that are seemingly difficult, problem solving strategies and techniques may still enable solution in a few simple steps...

How to solve Time and Distance problems in a few simple steps 1

thumb_How to solve time and distance problems in a few simple steps 1

Time and distance problems are taught in middle schools and also form an important component in competitive tests. In any case, our endeavor is to solve such problems elegantly in a few simple steps in contrast to generally complex and time consuming conventional approach to solving such problems...

How to solve more Time and Work problems in simpler steps, type 2

thumb_How to solve time work problems in simpler steps type2

In a large number of math problems involving Time & Work, it is stated that certain number of men take certain number of days to complete the work. These problems are usually solved in conventional methods by using per day work rate of 1 man. Instead, the number of days and number of men can be combined into a single powerful measure of work amount, simplifying the process greatly...

How to solve Time and Work problems in simpler steps, type 1

thumb_How to solve time work problems in simpler steps type1

To solve math problems involving Time & Work, it is usually assumed that a work-agent takes certain number of time units to complete the work alone. This immediately forces the use of inverse of the variables corresponding to each work-agent. Instead, adopt conceptually and psychologically a much simpler approach...

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...

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