This document provides tips for easily multiplying numbers by 11, 12, 25, and multiplying two-digit numbers. It explains that to multiply by 11, write the last digit and add the left digits. To multiply by 12, double each right digit and add the next. To multiply by 25, multiply by 100 and divide by 4. And to multiply two-digit numbers, write them vertically and cross multiply the digits.

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