1. The document describes a magic trick to multiply 4567 by 9 in 3 seconds by replacing digits with 1s and 0s. 2. It also explains how to perform another magic trick where the participant chooses a number 1-6, performs calculations on a calculator, and draws number cards to match the calculator result. 3. Finally, it provides the formula to calculate the square of a two-digit number by treating it as the sum of tens and ones and using the formula (a+b)2 = a2 + 2ab + b2.

1. MATH MAGICS
BY,
PRITHVI HOUSE

2. CAN YOU MULTIPLY 4567 BY 9 IN 3
SECONDS?
YES!
THE ANSWER IS 41103

3. EXPLANATION
1. First digit as it is ‘4’
2. Replace all other digits by 1and the
last digit by 0
1. 5 and 6 by1
2. 7 by 0
3. Finally write the 10’s compliment
of the last digit i.e. ’3’ (10-7)=3

4. For this lovely piece of magic it is a good idea to have a bowl or something and
before you do the trick put in number cards with these digits on.
You also need a calculator.
Ask your victim to choose a number between 1 and 6 and enter it on
the calculator.
Then follow these instructions:
1. Multiply the number by 9
2. Multiply the answer by 111
3. Multiply the answer by 1001
4. Divide the answer by 7.
Say all the magic words you know and then ask them to pick a
numbers out of the hat,. See if the number matches a digit on the
calculator it should! Carry on until all six numbers have appeared.
All your victim needs to do is put them in the same order as on their
calculator screen!

7. Square of a two digit no.
We know that
(a+b)2=a2+2ab+b2
(34)2 =32/2 x 3 x 4/42
 =9/24/16
 =1156