What are some shortcuts for doing faster calculations?

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In my way I face a lot of problems in solving the time consuming expressions sometimes I got the correct answer but sometimes not so I had so repeart the whole process again. Approximation is good but don't work well if we want significance in answer and we can't carry calculator in examination.

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Start with a $20\times 20 $ multiplication table and memorize it.

Then start with memorizing the square of all 2 digit numbers.

If you start being friendly with numbers you will be amazed how well the numbers treat you.