Efficient Math problem solving | SureSolv

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 Time and Work problems in simpler steps, type 3

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In a large number of math problems involving Time and Work, when more than one group of workers each comprising of a certain number of members, complete a job taking their own time, and the question is to find time taken by similar groups of workers but with different number of members, worker equivalence method invariably leads to much faster conceptual solution with greatly reduced calculation load...

How to solve a difficult surd algebra question by repeated componendo dividendo in a few steps 17

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The problem we have chosen this time is to highlight, Importance of recognition of simplifying powerful patterns inherent in a difficult problem, the power of Componendo dividendo to speed up solution considerably, and the unfailing effectiveness of principle of interaction of inverses if you can recognize its presence and apply it...

NCERT solutions for class 10 maths Trigonometry set 6

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With initial problem analysis and application of trigonometric expression simplifying and problem solving strategies, the problems chosen in this sixth NCERT trigonometry problem solving session could be solved in a few easy steps. Problem solving approach leads again to quick solutions in minimum number of steps...

NCERT solutions for class 10 maths Trigonometry set 5

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With initial problem analysis and application of trigonometric expression simplifying and problem solving strategies, the problems chosen in this fifth NCERT trigonometry problem solving session could be solved in a few easy steps. Problem solving approach leads to quick solutions in minimum number of steps...

NCERT solutions for class 10 maths Trigonometry set 4

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With initial problem analysis and application of trigonometric expression simplifying and problem solving strategies, the problems chosen in this fourth NCERT trigonometry problem solving session could be solved in a few easy steps. Problem solving approach leads to quick solutions in minimum number of steps...

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