Basic maths

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

Basic and Rich Percentage Concepts for solving difficult SSC CGL problems

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In business world, academics, Science and technology, or daily life, use of the concept of Percentage is ubiquitous and all-pervading. Because of its apparent simplicity though, this concept is taken for granted with not much emphasis on its elaboration and explanation....

Trigonometry concepts part 3, maxima (or minima) of Trigonometric expressions

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Trigonometric functions behave not exactly like common algebraic variables, and so maximizing or minimizing an expression of trigonometric terms requires first conversion of the expression to a single function expression. Frequently the rich algebraic concept of AM GM inequality also comes handy for solving such problems...

Basic and rich concepts on Simple interest and Compound interest

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Simple interest for a year is the percentage rate of interest applied on the initial amount invested and it is fixed year to year. On the other hand, Compound interest is the percentage rate of interest applied on the amount available at the beginning of the year, and not at the beginning of the investment period...

Basic and Rich Geometry Concepts Part 6, Proof of triangle area from medians

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Medians are one of the most important set of elements related to a triangle. The symmetry associated with the medians give rise to a rich set of concepts and relations. In addition to a number of important area related concepts, we will discuss here how to find the area of a triangle from the given length of its medians...

Basic and rich Trigonometry concepts part 2, proof of compound angle functions

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Trigonometry first established relationships between the angle and side measurements of a right angled triangle by defining trigonometric functions and thus extended the reach of mathematics wonderfully. Like any other branch of mathematics, from the basic trigonometric function definitions more advanced function relations are built stage by stage. Here we will deal with compound angle trigonometric function relations in more details...

Basic and Rich Geometry Concepts part 4, Proof of arc angle subtending concept

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To explain the Arc angle subtending concept exhaustively and comprehensively, we will use four different configurations and the corresponding mechanisms along with solving a specially selected problem. To be exhaustive, we needed to follow a systematic method...

Basic concepts on problems on speed time distance, train running and boats in rivers

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Traveling at same speed we would need twice the time we took last time, if we have to cover twice the distance we traveled last time. This follows from our common sense. The relationship between speed, time and distance is one of the most basic physical laws that affects our real life experiences extensively. Trains run from station to station at various speeds; boats ply in the river but their actual speeds are reduced by the river stream speed if the boat moves upstream...the applications of the relationship between speed time and distance form an important part of Arithmetic...

How to solve Arithmetic problems on Work-Time, Work-Wage and Pipes-Cisterns

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Different persons or types of persons complete the same work in different number of days as their work capacities are different. For example, a boy may complete a work in 6 days while a man may complete the same work in 3 days. In work-wage problems these work rates become important as the working agents receive wages in ratio of their work capacities. Finally, in pipes and cisterns problems similar working agents come into action in the form of pipes but they receive no wages...


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