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 difficult SSC CGL Geometry problems in a few steps 1

thumb_How to solve difficult SSC CGL geometry problems in a few steps 1

Geometry is no different from Algebra or Profit and loss with respect to solving a difficult SSC CGL problem in a few steps by applying Basic subject concepts together with Problem solving strategies and techniques. In this first episode of Geometry problem solving in a few steps we will analyze solution process of two chosen geometry problems...

How to solve difficult SSC CGL Algebra problems in a few assured steps 10

thumb_How to solve difficult SSC CGL algebra problems in a few assured steps 10

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solution to the difficult SSL CGL Algebra problem in this tenth session of algebra problem solving in a few simple steps. But out of two elegant solutions this time, which one should we select? The associated degree of certainty provides us with an usable criterion for choosing the method of solution...

How to solve difficult SSC CGL Profit and loss problems in a few steps 3

thumb_How to solve difficult SSC CGL profit loss problems in a few steps 3

Usually profit and loss problems do not come difficult, variations are few and with a bit of grounding on concepts you can solve any of this category of problems easily. That's why this one surprised us. At the first glance there seemed to be too many variables and the problem unsolvable. But when we looked deeper we discovered the clues to elegant solution one by one...

How to solve School Math problem in a few steps and in Many Ways, Trigonometry 4

thumb_How to solve a school math problem in a few simple steps trigonometry4

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 this problem we have highlighted the possibility to solve a problem in many ways and also the application of less facts and more procedures approach, both working towards improving the general problem solving skills of the student...

How to solve a School Math problem in a few simple steps, Trigonometry 3

thumb_How to solve a school math problem in a few simple steps trigonometry3

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 difficult SSC CGL Algebra problems in a few steps 9

thumb_How to solve difficult SSC CGL algebra problems in a few simple steps 9

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solution to difficult SSL CGL Algebra problem in this ninth session of algebra problem solving in a few simple steps. This approach in most cases results in a significantly simpler solution compared to conventional approach...

How to solve difficult SSC CGL Algebra problems in a few steps 8

thumb_How to solve difficult SSC CGL algebra problems in a few simple steps 8

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solutions to difficult SSL CGL Algebra problems in this eighth session of algebra problem solving in a few simple steps. This approach in most cases results in a significantly simpler solution compared to conventional approach...

How to solve difficult SSC CGL Algebra problems in a few steps 7

thumb_How to solve difficult SSC CGL algebra problems in a few simple steps 7

The problems in this seventh session of algebra in a few simple steps have ample scope for applying problem solving techniques and basic and rich algebra concepts to solve the problems much faster than conventional methods. This approach should not only help SSC CGL aspirants, but should also give valuable fresh ideas of elegant problem solving to school students. Additionally, Many ways technique for improving problem solving skills is explained through a suitable example...

How to solve difficult Algebra problems in a few simple steps 6

thumb_How to solve difficult algebra problems in a few simple steps 6

The problems in this sixth session of algebra in a few simple steps are not so intimidating in looks, but there are ample scope for applying problem solving techniques and basic and rich algebra concepts to solve the problems much faster than conventional methods. This approach should not only help SSC CGL aspirants, but should also give valuable fresh ideas of elegant problem solving to school students...

How to solve difficult Algebra problems in a few simple steps 5

thumb_How to solve difficult algebra problems in a few simple steps 5

In this fifth session on Algebra problem simplification taking up two complex algebra problems of SSC CGL level, we have explained the nature and practical use of elegant problem solving in a few steps in contrast to longer time-consuming conventional solutions. The problem solving strategies coupled with use of basic and rich algebraic concepts should not only help SSC CGL aspirants, but also give a push to enthusiastic school students in taking the path of innovative thinking...

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