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School maths

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...

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