FUN WITH MATHEMATICS
your NUMBER please MAGIC
Answer is 6
Answer is 6
Answer is 6
Answer is 4
Answer is 4
Play & Learn with your Friends Kutties! 👍
Play & Learn with your Friends Kutties! 👍
Play & Learn with your Friends Kutties! 👍
Professor Hardy writes, " I remember going to see him once when Ramanujam was lying ill in Putney. I had ridden in taxi-cab No.1729 and remarked that number seemed to me rather a dull one, and that it was not an unfavourable omen. 'No", he replied," it is a very interesting number". it is the smallest number expressible as a sum of 2 cubes in 2 different ways.
9³ + 10³ = 1³ + 12³ where
9³ + 10³ = 1000 + 729 = 1729
1³ + 12³ = 1728 + 1 = 1729
Hence, it is known as Ramanujam Number.
We have leamt about the great Mathematiolan Ramanujam's number, 1729.
We ask, is there a smallest natural number which can be expressed as a sum of two squares in two different ways?
yes, There is!
It is 65.
65 = 1² +8²
65 = 4²+7²
1 is a cubic number, 8 is a cube number.
That is 65 = 1³ + 4³
Again, 1 is a square number and 4 is also a square number.
Hence, 65 is the sum of cubes of two square numbers.
Another beautitul property!
65 + 56 = 121 = 11²
65 - 56 = 9 = 3²
Try to make every number your friend as Mathematician Ramanujan did.
Divisibility test for 2 is used in Table-Tennis game,
"After each 2 points have been scored,
the receiving player shall become the serving player and so on until the end of the game-
rule book
(1) Take a 4 digit number. (All digits different)
(2) Arrange its digits in descending order. (a)
(3) Arrange its digits in ascending order. (b)
(4) Find (a)-(b).
(5) Repeat the process.
What do you see?
(1) 9265
(2) 9652
(3) 2569
(4) 9652-2569 = 7083
Repetition
(8730, 0378, 8352),
(8532-2358 = 6174),
(7641 - 1467 = 6174!)
Write a five digit number.
Reverse it.
Subtract (smaller from the bigger)
score out any one or five digits in the difference. Tell the remaining digits in any order. TE
scored out digit is given immediately.
Example.
59264
(-) 46295
12969
Let the digit scored out be 6.
The remaining digits are 1, 2, 9, 9.
Find the total of 1, 2, 9 and 9. It is 21.
If we add 6, it is divisible by 9. Hence the scored out digit is 6.
{ if 0 or 9 is scored out, we can say either 0 or 9}
Find the Square of 836.
It is 698896.
A Palindrome square - ( Reads left and right the same number).
11³ = 1331 = 11 x 11 x 11
101³ = 1030301 = 101 x 101 x 101
111³ = 1367631 = 111 x 111 x 111
11011³ = 1334996994331 = 11011 x 11011 x 11011
All the five squares read alike across and downwards,
|
7 |
9 |
5 |
2 |
4 |
= 282² |
309² |
9 |
5 |
4 |
8 |
1 |
|
|
5 |
4 |
7 |
5 |
6 |
=234² |
169² |
2 |
8 |
5 |
6 |
1 |
|
|
4 |
1 |
6 |
1 |
6 |
=204² |
1. Can you Convert the Travelling Direction of this Fish by changing Matchsticks?
A magic square is a grid of numbers where the sums of numbers in each row, column, and diagonal are equal.
3x3 Magic Square (Sum = 15)
Learn More
4x4 Magic Square (Sum = 34)
Learn More
5x5 Magic Square (Sum = 65)
Learn More
6x6 Magic Square (Sum = 111)
Learn More
7x7 Magic Square (Sum = 175)
Learn More
8x8 Magic Square (Sum = 260)
Learn More
9x9 Magic Square (Sum = 369)
Learn More
Lo Shu Square (3x3 Ancient Chinese Magic Square)
Learn More
Dürer's Magic Square (4x4)
Learn More
Sagrada Família Magic Square (4x4)
Learn More
Riddle: I am a three-digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less than my tens digit. What number am I?
Answer: 194
Riddle: A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?
Answer: $0.05
Riddle: If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
Answer: 5 minutes
Riddle: Mary's father has five daughters: Nana, Nene, Nini, Nono. What is the fifth daughter's name?
Answer: Mary
Riddle: What comes once in a minute, twice in a moment, but never in a thousand years?
Answer: The letter 'M'
Riddle: A farmer has 17 sheep, and all but 9 run away. How many are left?
Answer: 9
Riddle: If you have only one match and enter a dark room containing an oil lamp, some kindling wood, and a newspaper, which do you light first?
Answer: The match
Riddle: A man is looking at a photograph of someone. His friend asks who it is. The man replies, "Brothers and sisters, I have none. But that man's father is my father's son." Who is in the photograph?
Answer: His son
Riddle: How can you add eight 8's to get the number 1,000?
Answer: 888 + 88 + 8 + 8 + 8 = 1,000
Riddle: If two's company and three's a crowd, what are four and five?
Answer: Nine
Teaser: What has keys but can't open locks?
Answer: A piano
Teaser: What can travel around the world while staying in the same corner?
Answer: A stamp
Teaser: What gets wetter the more it dries?
Answer: A towel
Teaser: What has hands but can't clap?
Answer: A clock
Teaser: What has a head and a tail but no body?
Answer: A coin
Teaser: What comes down but never goes up?
Answer: Rain
Teaser: I speak without a mouth and hear without ears. I have nobody, but I come alive with the wind. What am I?
Answer: An echo
Teaser: The more you take, the more you leave behind. What are they?
Answer: Footsteps
Teaser: What begins with T, finishes with T, and has T in it?
Answer: A teapot
Teaser: What has an eye but cannot see?
Answer: A needle
Repeated Addition Interactive Quiz Repeated Addition Interactive Worksheet Time Left: 60 seconds Your Score: 0 High Score: 0 ...