Questions tagged [mathematics]
A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.
4,851
questions
9
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Make both colors connected
Is it possible to rearrange the 8 rectangles shown below (only translation, no rotation or reflection) so that the red squares form a connected region and the white squares form a connected region? ...
- 744
14
votes
1
answer
753
views
Solid border Yin-Yang
Yin-Yang is a grid deduction puzzle with the following rules:
Fill each cell with either a black circle or a white circle.
All circles of a given color must form a single orthogonally-connected ...
- 3,486
19
votes
1
answer
637
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Dividing shape into 2 congruent pieces
How do I divide this shape into 2 congruent polygons?
Source: Penrose Tiles to Trapdoor Ciphers...and the Return of Dr. Matrix by Martin Gardner, Chapter 12 (no solutions in the book though).
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4
votes
3
answers
337
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Superman looking for Supergirl
Superman needs to find Supergirl in a hotel room. Unfortunately, the hotel is also "super" and has 100,000 rooms arranged in a row. Each room has a door to the corridor and to the adjoining ...
- 123
6
votes
0
answers
250
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What string comes next?
What string comes next:
accccfjuyz
fhqsstv
cfgiorttv
cfffgiioorsttuvz
abccffgioorttvz
aabcccdffghimooqrssttvzzz
Hint:
Hint 2:
- 744
7
votes
0
answers
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$T\lceil R \rceil _{eA} \lfloor S \rceil$on
The answer is a 9-letter word
$log_2(26)$
$\frac{1}{6} (\sqrt{595}-19)$
$-\frac{12^2}{100}$
$0$
$-\sqrt{\pi}$
$6\pi\cdot\tanh^2(2)$
$\frac{307819}{62500}$
$0$
$-\frac{8}{3}-\frac{3}{\pi}+\frac{5\pi}...
- 11.2k
0
votes
2
answers
166
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Weighing Coins -- a Different Approach
This is a question of my own devising. You have a double pan scale which will tell you whether 2 coins or 2 groups of coins weigh the same or whether one side is heavier than the other side. You have ...
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20
votes
4
answers
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What is the maximum number of people who speak only 1 language?
There are 1000 people in a conference. 500 speak English, 500 speak Spanish and 500 speak Hindi. Everyone at the conference speaks at least one of these languages.
What can the maximum number of ...
- 3,511
4
votes
2
answers
496
views
Maximizing row and column products in a 4x4 grid
Using the numbers 1, 2, 3, ... 16 each exactly once, fill each square of a 4x4 grid so that the product of the numbers in each row is a multiple of $N$ and the product of the numbers in each column is ...
- 13.4k
6
votes
1
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Determine if N is zibbable [closed]
The Zib sequence ${Z_N(M)}$ = $\{{a_i}\}$ is a very simple sequence defined on a pair of numbers $N \in \mathbb{N_{odds}}$, $M \in \mathbb{N}$:
${a_0}$ = $M$
${a_{i+1}}$ = $a_i+N$ if $a_i$ is odd
${...
- 911
-6
votes
0
answers
84
views
How to rotate ten players? [closed]
How to rotate ten card players over two separate tables as equal as possible for four different games?
4
votes
1
answer
345
views
Largest prime number erroneously erased when finding all primes less than 1000 [closed]
Chicharron is a lover of mathematics and once wanted to find all primes less than 1000. He did by the following steps below:
He wrote all the numbers from 2 to 1000.
He circled the number 2 and erased ...
-10
votes
2
answers
233
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Can you make 39 using the numbers 5 4 3 2 1 in that order?
Is it mathematically possible to show by some creative way that when you combine the digits 5, 4, 3, 2, 1 in that order using operators (+, -, x, integer division/ floating point division(//) or ...
- 1
2
votes
1
answer
296
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Destroying Democracy
There is a square grid of people and two political parties: Red and Yellow. The grid is split into districts, with the following rules:
All districts must be rectangles
Each voter must be in exactly ...
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11
votes
1
answer
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What's the price of banana?
An Iranian merchant has immigrated to the USA and opens his fruit store there.
He labels his fruits in both Persian and English with the costs in dollars:
...
- 501