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MAGICAL FACTS
 ABOUT MATH
    PRESENTED BY:
    NEHA SHARMA
  TAFADZWA GONERA
ARMSTRONG NUMBER

 153  is an Armstrong number
  because
 153=1³+5³+3³
 Some other Armstrong numbers
  are:
 370,371,407
STRANGE FACTS ABOUT 666

 666=6³+6³+6³+6+6+6


 666=2²+3²+5²+7²+11²+13²+17²
VAMPIRE NUMBERS

 1260 is a vampire number
 With 21 and 60 as fangs
 Since 21 × 60 = 1260.
 Others are: 1395=15 × 93
 1435=41 × 35
 1530=51 × 30
Numeric Palindrome with 1's
                  1x1=1
               11 x 11 = 121
             111 x 111 = 12321
           1111 x 1111 = 1234321
        11111 x 11111 = 123454321
      111111 x 111111 = 12345654321
    1111111 x 1111111 = 1234567654321
  11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
Sequential Inputs of 9
                  9 x 9 = 81
               99 x 99 = 9801
             999 x 999 = 998001
           9999 x 9999 = 99980001
        99999 x 99999 = 9999800001
      999999 x 999999 = 999998000001
    9999999 x 9999999 = 99999980000001
  99999999 x 99999999 = 9999999800000001
999999999 x 999999999 = 999999998000000001
Number 2519
2519 Mod 2 = 1
2519 Mod 3 = 2
2519 Mod 4 = 3
2519 Mod 5 = 4
2519 Mod 6 = 5
2519 Mod 7 = 6
2519 Mod 8 = 7
2519 Mod 9 = 8
2519 Mod 10 = 9
Trick
 Step1: Think of a number below 10.
 Step2: Double the number you have
  thought.
 Step3: Add 6 with the getting result.
 Step4: Half the answer, that is divide it by
  2.
 Step5: Take away the number you have
  thought from the answer, that is, subtract
  the answer from the number you have
  thought.
ANSWER IS 3 FOR THE TRICK
RULE 11
 To multiply any two digit number by 11:
 For this example we will use 54.
 Separate the two digits in you mind
  (5__4).
 Notice the hole between them!
 Add the 5 and the 4 together (5+4=9)
 Put the resulting 9 in the hole 594. That's
  it! 11 x 54=594
RULE 11
 If the result of the addition is greater than
  9
 You only put the "ones" digit in the hole
  and carry the "tens" digit from the
  addition.
 For example 11 x 57 ... 5__7 ... 5+7=12 ...
  put the 2 in the hole and add the 1 from
  the 12 to the 5 in to get 6 for a result of
  627 ... 11 x 57 = 627
MAGIC OF NUMBER 9
MAGIC OF NUMBER 9
MAGIC OF NUMBER 9
SNAKE EATS ITS OWN TAIL

• Choose any two digits number and for each
one reverse the digits and subtract the
smaller number from the larger.




• In each case the difference is divisible by 9
and the sum of the digits of the difference is
always 9.
Age Calculation Tricks:

 Step1: Multiply the first number of the
  age by 5.
 Step2: Add 3 to the result.
 Step3: Double the answer.
 Step4: Add the second digit of the
  number with the result.
 Step5: Subtract 6 from it.
TO FIND THE REMAINDER
PUZZLE
   You are at a fountain and have with you a
    three gallon jug and a five gallon jug. The
    jugs have no markings on the sides. How
    would you be able to measure out exactly
    one gallon of water?
SOLUTION
 First, fill up the 3 gallon jug to the top, and
   pour it into the 5 gallon jug.
   5 - 3 = 2 free gallons left in the 5 gallon jug.
 Now, fill up the 3 gallon jug again, and pour as
   much as you can into the 5 gallon jug.
   3 - 2 = 1 gallon of water left in the 3 gallon
   jug.
 Finally, pour the remaining gallon of water
   from the 3 gallon jug into your 1 gallon jug.
   Result = 1 gallon of water!
EASY SQUARING
 If you want to find the square of 45.
 You will first have to multiply 4 (4 +1),
  that is 4 X 5, which is equal to 20
 Then multiply 5 with 5, which is 25.
 The answer is 2025.
 Now, you can employ this method to
  multiply all numbers ending with 5.
Bridge Crossing Puzzle:

 A, B, C and D wants to cross the bridge at
  night. They have only one torch light with
  them. Only two can cross the bridge at a
  time. They need torch light to cross the
  bridge. Each of them walks at a different
  speed. A needs 1 minute, B needs 2 minutes,
  C needs 5 minutes and D needs 10 minutes.
 A pair must walk together at the rate of the
  slower person.
 How these people can cross the bridge within
  17 minutes?
Solution:

   First A and B walks across the bridge, it takes
    2 minutes.
   A walks back with the torch light, which
    takes 1 minute.
   Then C and D walk on the bridge, which
    takes 10 minutes.
   B comes back with the torch light, it takes 2
    minutes.
   Finally A and B walks across the bridge,
    which takes 2 minutes.
   Total = 2 + 1 + 10 + 2 + 2 = 17 minutes.
FINGER MATH FOR 9 TABLE
ANY QUESTION

 Visit WWW.GOOGLE.COM

 Otherwise you can ask us!!

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Interesting Facts about Maths

  • 1. MAGICAL FACTS ABOUT MATH PRESENTED BY: NEHA SHARMA TAFADZWA GONERA
  • 2. ARMSTRONG NUMBER  153 is an Armstrong number because  153=1³+5³+3³  Some other Armstrong numbers are:  370,371,407
  • 3. STRANGE FACTS ABOUT 666  666=6³+6³+6³+6+6+6  666=2²+3²+5²+7²+11²+13²+17²
  • 4. VAMPIRE NUMBERS  1260 is a vampire number  With 21 and 60 as fangs  Since 21 × 60 = 1260.  Others are: 1395=15 × 93  1435=41 × 35  1530=51 × 30
  • 5. Numeric Palindrome with 1's 1x1=1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321
  • 6. Sequential Inputs of 9 9 x 9 = 81 99 x 99 = 9801 999 x 999 = 998001 9999 x 9999 = 99980001 99999 x 99999 = 9999800001 999999 x 999999 = 999998000001 9999999 x 9999999 = 99999980000001 99999999 x 99999999 = 9999999800000001 999999999 x 999999999 = 999999998000000001
  • 7. Number 2519 2519 Mod 2 = 1 2519 Mod 3 = 2 2519 Mod 4 = 3 2519 Mod 5 = 4 2519 Mod 6 = 5 2519 Mod 7 = 6 2519 Mod 8 = 7 2519 Mod 9 = 8 2519 Mod 10 = 9
  • 8. Trick  Step1: Think of a number below 10.  Step2: Double the number you have thought.  Step3: Add 6 with the getting result.  Step4: Half the answer, that is divide it by 2.  Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
  • 9. ANSWER IS 3 FOR THE TRICK
  • 10. RULE 11  To multiply any two digit number by 11:  For this example we will use 54.  Separate the two digits in you mind (5__4).  Notice the hole between them!  Add the 5 and the 4 together (5+4=9)  Put the resulting 9 in the hole 594. That's it! 11 x 54=594
  • 11. RULE 11  If the result of the addition is greater than 9  You only put the "ones" digit in the hole and carry the "tens" digit from the addition.  For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
  • 15. SNAKE EATS ITS OWN TAIL • Choose any two digits number and for each one reverse the digits and subtract the smaller number from the larger. • In each case the difference is divisible by 9 and the sum of the digits of the difference is always 9.
  • 16. Age Calculation Tricks:  Step1: Multiply the first number of the age by 5.  Step2: Add 3 to the result.  Step3: Double the answer.  Step4: Add the second digit of the number with the result.  Step5: Subtract 6 from it.
  • 17. TO FIND THE REMAINDER
  • 18. PUZZLE  You are at a fountain and have with you a three gallon jug and a five gallon jug. The jugs have no markings on the sides. How would you be able to measure out exactly one gallon of water?
  • 19. SOLUTION First, fill up the 3 gallon jug to the top, and pour it into the 5 gallon jug. 5 - 3 = 2 free gallons left in the 5 gallon jug. Now, fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon jug. 3 - 2 = 1 gallon of water left in the 3 gallon jug. Finally, pour the remaining gallon of water from the 3 gallon jug into your 1 gallon jug. Result = 1 gallon of water!
  • 20. EASY SQUARING  If you want to find the square of 45.  You will first have to multiply 4 (4 +1), that is 4 X 5, which is equal to 20  Then multiply 5 with 5, which is 25.  The answer is 2025.  Now, you can employ this method to multiply all numbers ending with 5.
  • 21. Bridge Crossing Puzzle:  A, B, C and D wants to cross the bridge at night. They have only one torch light with them. Only two can cross the bridge at a time. They need torch light to cross the bridge. Each of them walks at a different speed. A needs 1 minute, B needs 2 minutes, C needs 5 minutes and D needs 10 minutes.  A pair must walk together at the rate of the slower person.  How these people can cross the bridge within 17 minutes?
  • 22. Solution:  First A and B walks across the bridge, it takes 2 minutes.  A walks back with the torch light, which takes 1 minute.  Then C and D walk on the bridge, which takes 10 minutes.  B comes back with the torch light, it takes 2 minutes.  Finally A and B walks across the bridge, which takes 2 minutes.  Total = 2 + 1 + 10 + 2 + 2 = 17 minutes.
  • 23. FINGER MATH FOR 9 TABLE
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