Useful & Simple Maths Tricks

SIMPLE MATHS TRICKS

v Squaring:

In this simple trick, we need to modify the equation and make the units digit zero. After all, it is easy to multiply when unit’s digit is zero.

For example - Find square of 43

= (43+3) × (43-3) + (3×3)
=(46×40) + 9
= (460×4) + 9
= 1840 + 9 = 1849

               OR (By the Other way)

Example-

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v Multiplication-

Vedic maths gave us the easiest method to do complex multiplications quickly.

For Example- Multiply 62 with 32

                                                           Step 1

                                                             Step 2 

                                            Step 3

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Ø    Multiplication with 5

o   Simply multiply the number by 10 and then divide it by 2.
For example 99×5

Step 1: 99×10=990

Step 2: 990/2= 495

Ø    Multiplication with 99

o   Multiply the number with 100 and then minus the same number from the result.

Let's take an example
Multiply 32×99

Step 1: 32×100=3200

Step 2: 3200-32 = 3168

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v Computing Compound Interest

 A] C.I. for 2 years, CI₂ = R₂% × Principal where, R₂=2r|r² 

For Example- Principal = 10,000; Rate = 12%; Time = 2years
Here, R2 = 2×12/12×12 = 24/144 = 25. 44
⇒ CI2 = 25.44% × 10000 = 2544

B] C.I. for 3 years, CI3 = R₃% × Principal where, R₃=3r|3r²|r³

For Example- Principal = 25,000; Rate = 12%; Time = 3years
Here, R3 = 3×12|3×12×12|123 = 36|432|1728 = 40.4928
⇒ CI3 = 40.4928% × 25000 = 10123.20

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v Time and Work

Every question in time and work chapter can be solved easily by finding the efficiency of workers or subject (such as pipes).

For example- A takes 10 days to complete a job. B takes 20 days to complete the same job. In how many days they will complete the job if they work together?

⇒ A's efficiency = 100/10 = 10% per day
⇒ B's efficiency = 100/20 = 5% per days
⇒ A and B can do 15% of the work in a day if they work together. So they can do the whole job in 100/15 = 6.66 days or 6 days and 18 hours.

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v Number Series

In Number series questions, you need to find the pattern of series.

Let's take an example: 

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