Basic maths | SureSolv

Basic maths

Base level maths on which most of the competitive test and school level exam activities depend

Partially hidden Componendo dividendo revealed to solve a not so difficult Algebra problem in minimum time 7

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In a problem in which Componendo dividendo is partially hidden, expression with distinctive pattern exists, but its inseparable pair, the fraction of two variables involved in the distinctive expression is not visible. Uncovering and using Componendo dividendo in such a problem invariably gives you the solution faster than any other method. But revealing even partially hidden pattern is possible only when you look for it...

Hidden Componendo dividendo uncovered to solve difficult Algebra problems quickly 6

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Occasionally the distinctive expression and its inseparable companion fraction of two componendo dividendo variables, both exist in given and target expressions, but in hidden form. With a closer look and component expression substitution, once possibility of using componendo dividendo is revealed, the problem can be solved in mind quickly, faster than any other method. These form another important class of hidden componendo dividendo problems that need uncovering...

Componendo dividendo uncovered to solve difficult Algebra problems quickly 5

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Occasionally the distinctive expression appears in one of the expressions, but its inseparable pair, the fraction of the two variables, is not readily available in the problem statement. We say in these cases that componendo dividendo appears in partial form, and the problem is of hidden componendo dividendo type. We need to change the given expression to match the target expression in such cases...

Componendo dividendo adapted to solve difficult Algebra problems quickly 4

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When the problem appears in a form exactly suitable for applying the method, problem solving is trivial and very easy. The real challenge lies in problems where, there is some pattern similar to Componendo dividendo in the problem, but only partially, so at first glance we don't consider Componendo dividendo as the suitable approach...

How to solve Surds part 3, Surd expression comparison and ranking

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In this third tutorial on how to solve surd problems, we will take up explaining two related problem classes, namely, two-term surd expression comparison and ranking. First we will state and explain two important rich concepts used for quick solution and then apply the rich concepts in solving chosen SSC CGL level problems...

How to solve Surds part 2, double square root surds and surd term factoring

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In this second tutorial we will explain how a surd expression under a second square root is dealt with as well as explain two other typical surd problem solving techniques, namely, surd term factoring and coefficient equalization of surd and non-surd terms in a surd equation. We will explain through the process of solving chosen SSC CGL level problems...

Componendo dividendo applied on number system and ratio proportion problems

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Because of the easy systematic steps most likely we would be able to solve a problem quickly and wholly in mind by Componendo dividendo. In this session we have shown how problems not directly conforming to the Componendo dividendo can still be solved quickly using the concepts of Componendo dividendo...

How to solve Surds part 1, Rationalization

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Surds are a special group of irrational numbers that can be represented easily in compact form as $\sqrt{2}$, $\sqrt{3}$ etc. In addition, a number of quick math methods in simplifying surd problems make this topic a favored one for testing problem solving abilities in schools and competitive tests...

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