Students often label calculation errors as "silly mistakes" because they are simple slipups that could easily be avoided with greater care and attention. These errors commonly occur when students overlook details in the problems or when they rush through calculations without verifying their work and they can really make you lose some serious marks in JEE. Embracing math shortcut tricks not only accelerates calculation speed but also simplifies the breakdown of complex questions. While numerous tips and tricks for swift calculations abound on the internet, the challenge lies in managing and recalling these techniques. Nevertheless, integrating these strategies into your problemsolving approach can significantly optimize your time during your JEE examinations and help you devote that time to more challenging problems.
To help you improve your mathematical skills and problemsolving, here is a list of the best math shortcut tricks.
Aim for Ten
Look for the Double
For 3digit numbers
OK, so these are “rules” more so than math tricks, but learning them certainly helps students make quick work of division problems, so we’ve got to get started right here!
Divisibility by 2:
Divisibility by 3:
Divisibility by 4:
Divisibility by 5:
Divisibility by 6:
Divisibility by 9:
No Rules here, just some tricks to learn to help you speed up your multiplications!
Multiplication by 2:
Multiplication by 3:
Multiplication by 4:
Multiplication by 5:
Multiplication by 8:
Multiplication by 9:
Multiplication by 11:
Breaking down multiplications into simpler steps can make mental calculations easier. Let's use the example
23×67 to illustrate the process:
20×67+60×3+7×3, making it easier to mentally calculate each part and then sum them up. This method helps reduce the complexity of the multiplication by breaking it into simpler components.
Dealing with squares, especially with larger numbers, can be challenging and timeconsuming. To streamline calculations and save time, it's beneficial to have some handy tips and tricks in mind for quickly calculating squares.
Steps to find the Square of a Number:
Example: 99
Choose a Base Value:
Calculate the Difference:
Adjust the Original Number:
Multiply by the Base:
Add the Square of the Difference:
So, the square value of 99 is 9801.
Let's break down the process of squaring a number ending in 5, using the example of 55:
Example 65
Step 1: Write down the end terms.
Square the last digit (5) to get the end terms. For 65, this gives us the end terms: _ _ 25.
Step 2: Multiply number on the left by the next consecutive number.
Multiply the number on the left (6) by the next consecutive number (6 + 1). In this case,
6×(6+1)=6×7=42
Combine the Results:
Combine the results from Step 1 and Step 2 to get the final answer:
4225.
So,
65×65=4225.
This method simplifies the calculation by recognizing a pattern when squaring numbers ending in 5. The end terms come from squaring the last digit, and the middle term comes from multiplying the original number by the next consecutive number.
Having explored various methods for squaring numbers, let's now shift our focus to the realm of square roots:
NOW, you have your approximate answer to save your time with all the calculations
Since we are talking about Square Roots, an Important tip for you to REMEMBER:
The difference between the squares of two consecutive natural numbers is equal to the sum of the two numbers.
i.e (n+1)2 – n2 = n + (n+1).
Use this fact to find the square of a number if the square of its previous natural number is known. For e.g. 462 = 452 + 45 + 46.
Now, Use the squaring trick to find 452!
Make sure you have these on your mind, so as to save time of conversion during exams
Achieving proficiency in rapid calculations is a journey that demands commitment and perseverance. By engaging in daily and consistent practice, individuals can develop the essential skills within the span of a month. This skill set can prove invaluable, particularly in timesensitive situation of JEE examinations.
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1. What are some addition tricks to help ace math for JEE? 
2. What are some divisibility tricks to help ace math for JEE? 
3. What are some multiplication tricks to help ace math for JEE? 
4. How can playing with squares and square roots help in math for JEE? 
5. What is the ultimate square root trick for math in JEE? 
209 videos443 docs143 tests


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