Short Mathematics Tricks | CRACK GOVERNMENT EXAMS

Short Mathematics Tricks | CRACK GOVERNMENT EXAMS

Squaring

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

For example - Find a square of 43

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

Multiplication with 5

Simply multiply the number by 10 and then divide it by 2.

For example 99×5= 990/2= 495

Multiplication with 99

Multiply the number by 100 and then minus the same number from the result. Let's take an example
Multiply 32×99 = 3200 - 32 = 3168

Square root

The best method to find the square root of large numbers is by dividing the number into parts. Let's take an example
Find square √ 1936
√1936 = √4 × √484 = √4 × √4 × √121 = 2×2×11 = 44

Time and Work

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

For example - A takes 10 days to complete a job. B takes 20 days to achieve 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.

Estimation

That's the most important technique. This is not a secret that every successful candidate is using this technique during exams.

Example - 112 × 92
Simply 112 × 9 = 1008
Add a zero to 10080 and then add 224 to 10080.
Answer is 10304

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