Mastering Calculation Tricks: A Guide to Excel in Competitive Exams

In today's fast-paced world, mastering calculation tricks in maths for competitive exams has become imperative. Whether you're gearing up for entrance tests to prestigious institutions or aiming for success in competitive job markets, proficiency in mathematical shortcuts can be the key to unlocking doors of opportunity. Let's explore some effective techniques along with examples to empower you in your exam preparations.

1. Vedic Mathematics: Unlocking Ancient Wisdom

Vedic Mathematics offers a treasure trove of calculation tricks for competitive exams. Take, for instance, the sutra "Urdhva-Tiryagbhyam," which simplifies multiplication  of any number by 11. Let's multiply 42 by 11:

Step 1: Add the adjacent digits of 42, i.e., 4 + 2 = 6. Step 2: Place 6 between 4 and 2. The result is 462.

This technique not only saves time but also enhances mental agility, making it invaluable for competitive exams.

Subtraction Tricks 

Subtract two numbers  mentally. 
While subtracting we can Break the number being subtracted into its tens and ones. Then Subtract in parts. in this method we can subtract easily.
 For example:- 73-45 , first 73 - (40+5 ),  73 - 40 =33, then 33-5 =  28.

Multiplication Tricks

The Magic of 9:
To multiply any number by 9, simply multiply it by 10 and subtract the original number. For example, to find 6 × 9, calculate (6 × 10) - 6 = 54 , 12 x 9, calculate (12 x 10) - 12 = 108.

2. Trachtenberg System: Mastering Rapid Computation

In the realm of calculation tricks for competitive exams, the Trachtenberg System reigns supreme. Let's illustrate its power with an example. Consider multiplying 52 by 11:
Step 1: Write down the number 52. Step 2: Divide 52 by 10 (since we're multiplying by 11), which gives 5 remainder 2. Step 3: Add the quotient (5) to the original number (52) to get 57. Step 4: Write down the remainder (2) after the 5 and before the 7. Step 5: The result is 572, the product of 52 and 11.

This systematic approach facilitates lightning-fast calculations, ensuring you breeze through exam questions with ease.

3. Welcome2Maths Vedic Maths Course: Your Pathway to Success

Enrolling in the Welcome2Maths Vedic Maths for Competitive Exams course can be a game-changer in your exam preparation journey. With comprehensive modules covering diverse calculation tricks, this course equips you with the skills needed to tackle any mathematical challenge thrown your way in competitive exams. 

4. Leveraging Number Properties and Patterns

Harnessing number properties and patterns is crucial in mastering calculation tricks for competitive exams. 

Let's explore the divisibility rule for 3:

Divisibility Rule for 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

For example, consider the number 789. The sum of its digits is 7 + 8 + 9 = 24, which is divisible by 3. Hence, 789 is divisible by 3.

Let's explore the divisibility rule for 5:

Divisibility Rule for 5: If the last digit is 0 or 5, it is divisible by 5; 

For example:- 40, 85 ,90, 125 all the numbers are divisible by 5. 

By applying such rules strategically, you can expedite calculations and maximize your efficiency in exams.

5. Approximation and Estimation: A Shortcut to Success

In the realm of calculation tricks for competitive exams, approximation and estimation techniques play a vital role. Let's say you need to find the square root of 68:

Step 1: Recognize that the square root of 64 is 8 and the square root of 81 is 9. Step 2: Since 68 lies closer to 64 than to 81, estimate the square root to be closer to 8 than to 9. Step 3: A reasonable approximation would be around 8.2.

This approach allows you to arrive at answers swiftly, giving you a competitive edge in time-constrained exams.

6. Mental Math Techniques:

Developing mental math skills is essential for quickly performing calculations without relying on pen and paper. Techniques such as chunking, where numbers are broken down into smaller, more manageable parts, can facilitate mental arithmetic. Additionally, practicing techniques like "casting out nines" for verifying calculations or using the "rule of 72" for quick financial calculations can sharpen mental math prowess. 


In the realm of competitive exams, mastering calculation tricks in maths is not just advantageous; it's essential. Whether you're embracing ancient wisdom through Vedic Mathematics, delving into modern methodologies like the Trachtenberg System, or leveraging fundamental number properties, these techniques empower you to tackle exam questions with confidence and accuracy. So, embrace these tricks, enroll in the Welcome2Maths Vedic Maths course, and embark on your journey to exam success armed with unparalleled mathematical prowess!