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Basic maths

Basic concepts on maths, mostly up to class 10. This is the most important math knowledge used in almost all competitive exams.

How to solve a hard CAT level Time and Work problem in a few confident steps 3

thumb_How to solve a hard CAT level time work problem in a few confident steps3

The conventional approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. Following only this approach to solving problems, students may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities. On the other hand, conceptual reasoning without firm mathematical base leads to confusion. In solving hard problems you need to strike a balance. In this third session on hard problem solving we have shown again how to do it...

How to solve a hard CAT level Time and Work problem in a few confident steps 2

thumb_How to solve a hard CAT level time work problem in a few confident steps2

The conventional approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. Following only this approach to solving problems, students may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities. On the other hand, conceptual reasoning without firm mathematical base leads to confusion. In solving hard problems you need to strike a balance. In this second session on hard problem solving we have shown how to do it...

How to solve a hard CAT level Time and Work problem in few confident steps 1

thumb_How to solve a hard CAT level time work problem in a few confident steps1

The conventional approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. Following only this approach to solving problems, students may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities. On the other hand, conceptual reasoning without firm mathematical base leads to confusion. In solving hard problems you need to strike a balance...

Basic and rich concepts on Simple interest and Compound interest

thumb_simple interest and compound interest trend  cover

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 Trigonometry concepts part 2, proof of compound angle functions

thumb_basic and rich trigonometry concepts part 2 compound angle relations proofs top

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

thumb_speed time distance train running boats in rivers

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...

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