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Working backwards approach

Systematic solution to hardest geometry question 16b in NSW HSC Math extension 2 exam 2018


The problem we'll take up this time was reported in The Sydney Morning Heraldas the hardest one in the Math Extension 2 exam paper in NSW HSW 2018 test in Australia. It was the question 16b on Geometry involving a large number of pairs of similar triangles.

Students not used to identify the key missing element from a host of elements spread all around and think strategically and systematically would find it difficult...

SSC CGL level Solution Set 51 Algebra 12 video Part II

This is a set 5 problems of different types and a few are not easy. All are solved in mind using concepts and techniques such as, pattern discovery, componendo dividendo, missing element technique, similarity increase technique, denominator equalization, dummy variable substitution, abstraction, three variable zero sum principle, algebraic ratios, basic ratio concepts, working backwards approach, and mathematical reasoning. The Concepts and Techniques, explained with precision and details, form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL level Solution Set 10 Algebra 4 video part 1

The five problems with a few difficult ones were solved in mind using special concepts and techniques explained with precision and details. Important concepts used were zero sum of square expressions, collection of like terms, three variable sum of cubes expansion, binary choice selection, working backwards technique, and mathematical reasoning. Solutions of two problems, the 3rd and the 5th, need special mention. The 3rd problem is solved using a novel method comprising of mathematical reasoning, binary choice selection for speed and working backwards technique. In contrast, the solution of 5th problem needed strategic approach to simplification to achieve maximum clarity and speed. The Concepts and Techniques form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL Algebra solving quickly 13, A novel approach

We have solved an apparently unsolvable problem in this 13th video session on SSC CGL level Algebra problem solving in a few steps. We could find no way to transform the given expression to get the value of the target expression, nor could we evaluate the values of three variables directly from the given expression. As these two main approaches by which most competitive algebra problems are solved failed, we had to resort to a novel method using trial of choice values against target expression for feasibility and then verification of the values thus obtained from the given expression. We have worked backwards. Finally, the solution was quick and satisfactory and it taught us a few new things about how to solve problems. The concepts and methods should prove valuable in addition, for SSC CGL Tier II, CAT or GMAT where algebra is a topic...

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Monkey and the coconuts puzzle with solutions


An older version of the monkey and the coconuts puzzle was modified by short story writer Ben Williams and published nearly a century ago. From then on the intriguing puzzle attained the status of one of the most attempted and least solved math puzzles of all time. We will present here easily understandable solutions to both using mathematical reasoning and for the modified version using in addition systematic enumeration…

NCERT solutions for class 10 maths Trigonometry set 4


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...

How to solve arithmetic boundary condition problems in a few simple steps


A simple or compound event (consisting of more than one event) goes on happening systematically at regular intervals till a point just before the end. With each occurrence of the event problem parameters change. The end is reached before the full impact of the event along with the change can happen. This is the boundary to be found out before solving the problem...


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