Magic maths shortcut tricks calculation for competitive exam
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"Time and tide waits for none".
This famous quotation persists in the present time especially in competitive exams and in every sphere of life as well. One thing that leads to the selection and rejection of competitive exams is the ability to calculate faster. Believe it or not, the ability to do the fast calculations in the maths section is an added advantage in this tough era of competition. Calculation leads to wonders if we know the tricks to calculate faster in exams. Dear students one of the reasons students fail to crack the competitive exam is slow calculations, the calculation is a significant factor to crack the exam. Whenever you are giving competitive exams it could be any of them like SSC, bank, IIT JEE or NEET. The basic difference between success and failure is speed and accuracy.
Here are some of the tricks which definitely help the students to get selected in the competitive exam and also boost their confidence in the exams.
Squaring the number whose unit digit is 5
This is very useful and easy trick in terms of fast calculation
Let us suppose the no. is Y5, Then its square would be calculated as:
(Y5)^{2 }= Y x (Y+1) 25
For eg. (45)^{2 }= 4x (4+1)25
= 2025
Squaring the numbers which are close to 50
Here is a wonderful trick to calculate square numbers close to 50 ranging from 30 – 70 (ranges vary at capacity) at extremely fast speed.
In order to find the square of any number closer to 50, all we need to do is,
Step 1: Find out how much more or less than 50 is that number i.e. the distance of that number from 50.
Step 2: Add that distance to 25 if the number to be squared is above 50, or subtract the distance from 25 if the number is below 50.
Step 3: For the last 2 digits, find the square of that distance. If it is a single-digit answer, make sure to put an extra ‘0’ before it to make it a 2 place. If it is a 3-digit answer, carry forward the left digit.
Here is a useful trick to calculate square numbers close to 100 at extremely fast speed.
In order to find the square of any number closer to 100, all we need to do is,
Step 1: Find out how much more or less than 100 is that number i.e. the distance of that number from 100.
Step 2: Add that distance to the same no. whose square is to be calculated if the number to be squared is above 100, or subtract the distance from the same no. if the number is below 100.
Step 3: For the last 2 digits, find the square of that distance. If it is a single-digit answer, make sure to put an extra ‘0’ before it to make it a 2 place. If it is a 3-digit answer, carry forward the left digit.
4. Divide by 5Whenever comes to division by 5, there is a trick for fast Division Eg. If the question is 725/5, Then we should follow the following steps: 5. Multiply by 5 Whenever comes to multiplication by 5, there is a trick for fast Multiplication Eg. If the question is 476 x 5, Then we should follow the following steps:
6. Trick to multiply a no. by 11:
If you are multiplying a 2- digit no. by 11, then just write the extreme digit as it is and after that sum up both the digits and then write it in between both the digits.
7. Tricks to calculate the square of (11)^{2},(111)^{2}, (1111)^{2 }
There is a very basic trick to calculate the square of numbers (11)^{2}, (111)^{2,} (1111)^{2 } etc. see the following examples and observe the following pattern.
Magic maths shortcut tricks calculation methods for the competitive exams
(11)^{2 }= 121
(111)^{2 }= 12321
(1111)^{2 }= 1234321
(11111)^{2 }= 123454321
8. Trick to find the square of a 2-digit number
This is a very useful trick is we have to find the square in maximum no. of questions
So, here are some of the steps to follow:
STEP 1: Suppose we have to find the square of (24)^{2}, calculate the product of both the digits and multiply the result by 2.
2 x 4 x 2 = 16
STEP 2: Now, find the square of each digit and write as follows:
(2)^{2 }= 4 and (4)^{2 }= 16
04 16
STEP 3: After doing these two steps just add the product of the digit to the step 2 result in the following manner.