Quick Mental Math Tricks & Shortcuts for Competitive Exams from Udemy

This course is carefully designed to prepare students for the ‘Quantitative aptitude’ section of the competitive exams. It has around 2000+ solved questions and I constantly upgrade the course to ensure it is in line with the current year exams.

It has 140 lectures spanning 18+ hours of on-demand videos that are divided into 21 sections. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.

Topics covered in the course:

Algebra Short Tricks

1.30 hr. section of Algebra short tricks requires very little knowledge of the actual methods of solving. Very fast techniques to solve Sequence and Series, Quadratic equations, reducible to quadratic equations, problems involving α & β, real-life word problems based on linear and quadratic equations, Linear Equations & Polynomials.

Logarithms

Nearly 1hr. section of Logarithm short tricks explaining Logarithms and its Laws in detail. Three lectures on the application of short techniques to crack the problems in the first attempt. The last two lectures of this section are based on past paper Problems from the CAT exam.

Geometry

Revision of complete Geometry concepts with all the Formulas, Definitions, Notes, Theorem, Facts & Tricks. Topics covered are Lines and Angles, Parallel lines, Triangles, Pythagoras Theorm, Inequalities of Triangles, Sine and Cosine Rule, Median, Altitude, Angle bisector, properties of Equilateral & Isosceles Triangles, all types of Quadrilaterals, Polygons- interior angles & number of diagonals, Angle Bisector Theorem, Congruent & Similar Triangles, Circle, Cyclic Quadrilateral, Tangents to circle, Areas between two parallel lines, etc.

Trigonometry shortcuts

Nearly 3 hours of the topic, divided into 2 sections. First Section is based on Revision of Complete Basics and Formulas of Trigonometry, explained with the help of examples. In the second section, you can learn the fastest techniques of solving Trigonometry problems based on Identities, Height & Distance, Geometry & Solution of Triangles without the help of too high knowledge of Trigonometry.

Basic Topics of Middle & High School

You will find separate sections and step by step explanations of short techniques & logical methods to handle highly Skilled Problems based on Time and Work; Pipes and Cistern; Speed, Distance and Time; Work and wages; Percentage; Profit & loss; Discount; Tax and faulty dealer; Boats and streams and many more…

Simplification Problems

Short tricks to find solutions of Simplification problems based on Percentages, Fractions, Square roots, Cube roots, Tricky fractions, and Successive square roots, etc. in seconds.

Finding Unit digits

Finding Unit digits of tough exponents numbers and calculations.

Simplification by Digital Sum Techniques of Vedic Maths

Very Fast technique of finding correct answers out of multiple-choice questions of heavy calculations without actually calculating.

Here's what some students say about the course:

"Great content, excellent teaching style" - Sumita Bhattacharya
"Very Easy to learn and apply in interview questions... Thank you so much" - Yabaze T
"Helpful and straight to the point. The approach adopts by Ms. Ruchi is awesome and understandable. She helped me a lot to understand the problem in-depth and then how to apply tricks and shortcut to solve or get an answer in a short time" - Khan Qamar

With this course you'll also get:

Full lifetime access to the course
Complete support for any question, clarification or difficulty you might face on the topic
Udemy Certificate of Completion available for download
30-day money back guarantee

Feel free to contact me for any questions or clarifications you might have.

I look forward to seeing you in the course. :)

What's inside

Learning objectives

Trigonometry with fast and short tricks
Plane geometry concepts (lines, angles, polygons, triangles, quadrilateral, circles)
Algebra (including sequence & series, quadratic equations)
Complex fractions, square roots, cube roots, exponents
Finding unit digit of very complex exponent problems

Fastest techniques to solve mensuration of 2-dimensional geometry (including area related to circles)
Short tricks for time & work, pipes & cisterns, speed & distance, boats & streams, person & wages, leaving & joining of persons, average speed etc.
Digital sum techniques of vedic math
Short tricks for percentages

Trigonometry with fast and short tricks
Plane geometry concepts (lines, angles, polygons, triangles, quadrilateral, circles)
Algebra (including sequence & series, quadratic equations)
Complex fractions, square roots, cube roots, exponents
Finding unit digit of very complex exponent problems
Fastest techniques to solve mensuration of 2-dimensional geometry (including area related to circles)
Short tricks for time & work, pipes & cisterns, speed & distance, boats & streams, person & wages, leaving & joining of persons, average speed etc.
Digital sum techniques of vedic math
Short tricks for percentages

Syllabus

Introduction

About Course

Introduction - Important Instructions

Algebra Short Tricks

How to Practice Algebra from this section?

Short tricks for multiple choice questions 1

Short tricks for multiple choice questions 2

Short Tricks for multiple choice questions 2

Short tricks for multiple choice questions 3

Short tricks for multiple choice question 3

Some Important Short Tricks 1

Some Important short tricks 1

Some Important Short Tricks 2

Quadratic equations Short tricks 1

Quadratic equations Short tricks 2

Quadratic equations short tricks 2

Quadratic equations Short tricks 3

Quadratic equations short tricks 3

Algebra Practice test 1

Solutions of Algebra Practice Test Part 1

Solutions of Algebra Practice Test Part 2

Logarithms

Resources and Assignments on Logarithms

What is Logarithms?

Through this section you will be able to revise concepts of geometry and will be able to solve geometry problems from quant's section with in few seconds

Laws of Logarithms

Practice Problems on Logarithms - 1

Practice Problems on Logarithms - 2

Practice Problems on Logarithms - 3

CAT-Past Paper Problems on Logarithms - 1

CAT-Past Paper Problems on Logarithms - 2

Lines and Angles (Basics)

Lines & Angles

Parallel lines (Basics)

Practice Problems 1 (Lines and Angles)

Triangles (Basics)

Practice Problems 2 (angle sum and exterior angle Property)

Pythagoras Theorem

Inequalities in Triangles

Sine and Cosine Rule

Median , Altitude, Angle bisector

Practice Problems 3

Properties of Medians

Practice Problems 4

Properties of Equilateral Triangles

Some special Quadrilaterals

Polygons-interior angles, diagonals etc

Angle Bisector Theorem

Congruent Triangles

Similar Triangle

Practice problems 5

Circle

Cyclic Quadrilateral & Tangent to circle

Here you will learn different formulas, facts about area of Parallelogram and Triangles.

Areas of parallelogram & Triangles 1

Areas of parallelogram & Triangles 2

Practice Problems based on Areas 1

Practice Problems based on Areas 2

Mensuration of 2 dimensional figures

Mensuration Formulae

Practice problems on 2-d figures

Assignment (Video) on 2-d figures

Areas related to circle

Practice questions on area related to circle

Practice Test (Check your knowledge of Geometry after preparation )

This test is to check your knowledge on Geometry. Questions are neither easy nor hard.

Each question is of 4 marks. Total marks 40.

Marks below 14 --- needs to prepare geometry once again.

Marks 14 to 23 ---- Geometry knowledge is 50%. Try to check the topics where you need to concentrate more.

Marks 23 to 33 ---- Good knowledge but still needs to work on a few topics.

Marks above 33 --- Good Preparation.

In this section you will learn to how to find unit digit of numbers with large exponents and different calculations.

What is Unit Digit ?

How to find unit digit of numbers with exponents ?

Practice Problems based on Unit Digit

Students will be able to simplify problems based on square roots , cube roots , percentage and exponents with in a few seconds without pen and paper.

Simplifications based on Percentages

Simplification based on Exponents

Fastest method of finding square roots

Fastest method of finding cube roots

Simplification based on square and cube roots

Simplification Problems

In this section you will learn short cuts for different types of simplification problems

Simplification problems Type 1

Simplification problems Type 2 (Complex Fractions)

Simplification problems Type 3

Simplification problems Type 4

Finding smallest and greatest from difficult exponents

You will learn to simplify problems of addition, subtractions,multiplication , division and percentages using Digital sum technique of Vedic Math .It will help you to find right option in few seconds

What is digital sum of a number?

Application of digital sum in addition & subtraction

Application of digital sum in multiplication

Application of digital sum in Division

Time and Work

Resources download and how to prepare the topic

Problems based on persons, days , work and hours

Short cut formulas for most common problems

Problems based on Two Persons

Problems based on three Persons

Based on Efficiency

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Offers a large number of solved questions, which can provide extensive practice for students preparing for quantitative aptitude sections

Includes digital sum techniques of Vedic Math, which can offer alternative approaches to problem-solving for those familiar with or interested in Vedic mathematics

Covers a wide range of topics, including algebra, logarithms, geometry, trigonometry, and arithmetic, which are commonly tested in competitive exams

Focuses on short tricks and fast techniques, which can be valuable for students aiming to improve their speed and accuracy in quantitative aptitude sections

Includes past paper problems from the CAT exam in the Logarithms section, which can provide targeted practice for students preparing for this specific exam

Requires learners to have some familiarity with mathematical concepts, which may not be suitable for absolute beginners without any prior knowledge

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Quick Mental Math Tricks & Shortcuts for Competitive Exams with these activities:

Review Basic Algebra Concepts

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Strengthen your understanding of fundamental algebraic principles. This will provide a solid foundation for the algebra shortcuts and techniques taught in the course.

Browse courses on Algebra

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Review definitions of variables, constants, and expressions.
Practice solving linear and quadratic equations.
Work through example problems involving polynomials.

Brush Up on Geometry Fundamentals

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Revisit core geometry concepts to prepare for the geometry section of the course. A strong grasp of these fundamentals will make learning the shortcuts easier.

Browse courses on Geometry

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Review angle relationships and properties of parallel lines.
Practice calculating areas and perimeters of basic shapes.
Study the properties of triangles and quadrilaterals.

Review 'Secrets of Mental Math'

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Explore mental math techniques to enhance your calculation speed and accuracy. This book complements the course by providing a broader perspective on mental math strategies.

View Melania on Amazon

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Read the chapters related to addition, subtraction, multiplication, and division.
Practice the techniques described in the book with example problems.
Compare the book's techniques with the course's shortcuts.

Four other activities

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Show all seven activities

Practice Unit Digit Calculations

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Sharpen your skills in finding unit digits of complex exponents. This activity reinforces a specific technique taught in the course through repetitive practice.

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Generate random numbers with exponents.
Calculate the unit digit using the taught shortcuts.
Verify your answers with a calculator.

Create a Cheat Sheet of Formulas

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Compile a concise reference guide of all the formulas and shortcuts covered in the course. This will aid in quick recall during problem-solving.

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Review all the course materials and identify key formulas.
Organize the formulas by topic (algebra, geometry, etc.).
Create a visually appealing and easy-to-read cheat sheet.

Review 'Vedic Mathematics'

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Delve into Vedic Mathematics to discover alternative calculation methods. This book expands on the digital sum technique and provides a broader context for mental math.

View Vedic Mathematics or Sixteen Simple... on Amazon

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Read the sections related to digital sums and other Vedic techniques.
Practice applying the Vedic techniques to example problems.
Compare the Vedic techniques with the course's shortcuts.

Develop a Mental Math App

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Create a simple application that tests your mental math skills. This project will solidify your understanding of the shortcuts and techniques learned in the course.

Show steps

Design the app's interface and functionality.
Implement the mental math algorithms using the course's shortcuts.
Test the app thoroughly and refine its performance.

Career center

Learners who complete Quick Mental Math Tricks & Shortcuts for Competitive Exams will develop knowledge and skills that may be useful to these careers:

Actuary

An actuary assesses financial risks and uncertainties using mathematical models, often in the insurance and finance industries. This role demands a strong grasp of quantitative concepts. This course will help you prepare for actuarial examinations by developing skills in algebra, trigonometry and geometry, which are used to model risks. The course's focus on speed and accuracy in calculations is crucial, and someone pursing this career should take this course in particular to be prepared for the quantitative nature of the work.

See salaries and explore the career path for Actuary

Quantitative Analyst

A quantitative analyst uses mathematical and statistical methods to assess and manage financial risk, develop trading strategies, and create financial models. This course is helpful because understanding quantitative aptitude, as taught in the course, builds a strong foundation in the mathematical thinking necessary for this role. The course's deep dive into shortcuts for algebra, geometry, and trigonometry can be directly applied to model building, data analysis, and financial calculations. This course in particular helps hone the speed and accuracy needed for quantitative analysis.

See salaries and explore the career path for Quantitative Analyst

Investment Banking Analyst

An investment banking analyst helps companies raise capital and executes financial transactions. This role requires a strong capacity for quantitative analysis. This course is useful because it helps build the mathematical skills necessary to perform financial modeling and analysis. The course’s specific focus on time-saving techniques for solving complex calculations related to percentages and fractions equips investment banking analysts with tools for speed and accuracy. Anyone entering the field of investment banking can use this course to improve their quantitative aptitude.

See salaries and explore the career path for Investment Banking Analyst

Financial Analyst

A financial analyst evaluates financial data, prepares reports, and advises businesses on investment strategies, requiring them to possess strong quantitative skills. This course helps build the mathematical aptitude necessary for analyzing financial statements and creating financial models. The course's focus on time-saving techniques for complex calculations in algebra, percentages, and simplification problems, equips a financial analyst with tools for efficient and accurate analysis. Someone looking for a career as a financial analyst should take this course for its deep instruction in quantitative aptitude.

See salaries and explore the career path for Financial Analyst

Data Analyst

Data analysts interpret data, identify trends, and provide insights. This role requires a foundational understanding of mathematics. This course can be helpful because the course’s focus on simplification, percentages, and digital sum techniques of Vedic math equips data analysts with the skills necessary to manipulate and analyze numerical data efficiently. A person interested in a career path as data analyst may benefit greatly from this focus this course gives to quantitative aptitude.

See salaries and explore the career path for Data Analyst

Budget Analyst

A budget analyst develops and manages budgets, requiring mathematical aptitude for financial planning. This course may be helpful because the course's instruction on percentages, simplification, and other mathematical techniques will help budget analysts to be effective in their work. The course’s emphasis on speed and accuracy with complex calculations may be particularly useful to budget analysts. This course can be used to help a person become an effective budget analyst.

See salaries and explore the career path for Budget Analyst

Pricing Analyst

A pricing analyst sets prices for goods and services based on market research and data analysis. This role requires mathematical skills for analyzing data. This course may be useful because it provides a foundation in mathematical and quantitative reasoning, especially in percentages and simplification. A person in this role may benefit from the course's training in speed and accuracy to make informed pricing decisions.

See salaries and explore the career path for Pricing Analyst

Risk Analyst

A risk analyst identifies and evaluates risks to an organization, often using quantitative analysis, and so they often have an advanced degree. This course may be useful because the course’s instruction in algebra, geometry, and trigonometry will be useful to build models that assess risks. The focus that is given to calculation speed and accuracy will help risk analysts to be effective in their work. Someone seeking this career can use this course to advance the quantitative aspects of their work.

See salaries and explore the career path for Risk Analyst

Operations Research Analyst

An operations research analyst uses mathematical and analytical methods to help organizations make better decisions. This role typically requires advanced skills in quantitative reasoning. This course may be useful because the course provides practice in the kind of analytical and mathematical thinking needed for optimization problems. The course’s focus on time-saving techniques for problems involving time, work, and speed may be useful, and those considering this field may take this course to improve the accuracy of their analysis.

See salaries and explore the career path for Operations Research Analyst

Business Analyst

Business analysts improve processes and products by analyzing data and recommending solutions. This role requires a capacity for quantitative analysis. This course will be helpful because the course's teaching of algebra, trigonometry and geometry helps build a strong framework for quantitative problem solving. The course’s attention to time-saving techniques for complex calculations, as well as the application of digital sum techniques, can improve speed and accuracy. A business analyst can use this course to improve their quantitative analysis.

See salaries and explore the career path for Business Analyst

Management Consultant

A management consultant advises organizations on how to improve performance and achieve their objectives. This role requires a capacity for quantitative analysis. This course may be helpful because the course’s attention to detail in solving mathematical problems can help build the kind of thinking that can lead to strategic solutions. The course's emphasis on time-saving techniques can be useful in a fast-paced environment. Someone entering this field may find great use in this course.

See salaries and explore the career path for Management Consultant

Market Research Analyst

Market research analysts study market conditions, consumer behavior, and competitor activities. This role requires a solid foundation in mathematics. This course may be useful because the course's teaching of percentages, simplification, and other mathematical concepts are useful for analyzing market trends and survey results. A person in this career may utilize the course's instruction in quantitative aptitude to enhance their analysis of market data.

See salaries and explore the career path for Market Research Analyst

Research Associate

A research associate helps conduct studies by collecting data and analyzing results. This role requires a capacity for quantitative analysis. This course may be helpful because the course provides a foundation in the mathematical skills required for collecting and interpreting numerical data, as well as solving mathematical problems. This course might be helpful to a research associate seeking to improve their analysis. The course’s training in short cut techniques and digital sum techniques may be particularly useful.

See salaries and explore the career path for Research Associate

Statistician

A statistician develops and applies statistical theories and methods. This often requires a master's or doctorate degree. This course may be helpful because the course’s quantitative foundations, including algebra, geometry, trigonometry, and simplification techniques provide a base for statistical reasoning and mathematical operations. Those who are interested in this role may find this course as a useful entry point into the quantitative demands of the field.

See salaries and explore the career path for Statistician

Accountant

An accountant prepares financial records, manages financial transactions, and ensures businesses adhere to financial laws and regulations. An accountant needs a solid understanding of mathematics. This course may be helpful because the course’s teaching of percentages, fractions, and simplification will be useful in managing and analyzing financial data. An accountant can use the course to improve their mathematical analysis.

See salaries and explore the career path for Accountant

Quick Mental Math Tricks & Shortcuts for Competitive Exams

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