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1. EASY MATHS
for competitive exams
PURNIMA

2. 1) HOW TO MULTIPLY ANY NUMBER OF DIGITS WITH 11 EASILY
• For Example: 277 * 11
• Write down last digit of your question ie.,7
• No add (7+7) from left hand side of your question ie.,ans 14. (place 4
in the final ans and carry 1)
• Now add (2+7) ie., ans 9 (plus add carring 1) now ans is 10. (place 0 in
ans and add 1 to first digit of your question ie., 2
• solution is 3047

3. 2) HOW TO MULTIPLY ANY NUMBER BY 12
• For ex: 524 * 12
• Double each digit from right hand side and add next digit to it.
• 4+4 = 8 (write it in ans)
• 2+2 = 4+4 =8 (write it in ans)
• 5+5 = 10 + 2=12 (write 2 in ans and carry 1)
• 5+1=6
• Solution 6288

4. 4) HOW TO MULTIPLY ANY NUMBER BY 25
• For ex: 125678 * 25
• First multiply the question by 100 (125678 * 100)
• Divide the ans by 4 (12567800 / 4 = 3141950)

5. 5) HOW TO MULTIPLY TWO DIGIT NUMBER BY TWO DIGIT NUMBER
• For ex: 12 *13
• Write down question as ( 1 2
1 3 )
• First 2*3=6
• 1*3 + 1 *2 = 5 (cross multiply)
• 1*1 = 1
• Write down the values from last and solution is 156