Basic concepts on a subject form the foundation. Basics are for building the foundational concepts in concise but comprehensive manner.
In work life and personal life often we need to learn the basics on a subject quickly. Usually it is not easy to acquire the basic concepts on any subject reliably in a short time from a concise material.
Basic concepts on any subject form the foundation, but generally we have found it is not easy to build it in a short time. Our focus here is on base concepts in a concise form that can be learned quickly and be used as a launch pad for further learning and subject specific problem solving.
Often we added a rich concept layer derived from the base concepts that helps to solve more complex problems with great ease. For us, it is a two layer concept model: Base concepts and Rich concepts derived from base concepts. Objective is efficient problem solving.
Basic maths: Basic concepts on maths. The content is primarily targeted for competitive test requirements.
Reasoning and logic analysis: Tutorials, problems and puzzles on competitive test reasoning and logic analysis.
The hardest geometry question from math extension 2 exam paper in NSW HSW 2018 test in Australia solved step by step and each step clearly explained.
This geometry question from math extension 2 exam paper in NSW HSW 2019 test in Australia was reported as very hard. Its systematic solution is explained.
Learn how to factorize a quadratic equation by factor analysis step by step. Practice on 25 problem exercise. Check with solution.
The result of the least value of sum of reciprocals, used in Algebra, represents an important principle of value sharing. Here is a rare algebraic proof.
Fraction comparison is needed to solve difficult fraction problems. Six different fraction comparison techniques explained by solving selected problems.
In an analog clock the minutes hand moves faster than the hour hand and crosses it 22 times in a day, both going round and round over the clock face. In a typical clock problem, we are asked to find the angle between the two clock hands at a specific time...
For most needs of finding square root, if we remember by heart squares and cubes of a few common integers, using quick factorization we can figure out the square roots or cube roots of numbers be it integer or decimal. But occasionally, in a few specific types of arithmetic problems, there is no other option than to actually evaluate the square root of a number following a method specifically tailored for the purpose...
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...
You will learn advanced techniques on how to compare surds in the part 3 of how to solve surds. Suitable example problems on comparison of surds are used.
How to solve surds by techniques - Double square root surd, Surd term factoring, Surd coeff comparison, Rationalization of surds on Test problem examples.
