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Questions tagged [mathematics]

A puzzle strongly related to mathematical facts and objects, or whose solution needs serious mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.

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5
votes
3answers
201 views

Rawrdon Mamsay pays a visit

Now, I should warn you, this is one of my practical problems; meaning I don't know the solution and the answer's probably anticlimactic (like this or that). Still... My old pal Rawrdon Mamsay is soon ...
8
votes
1answer
640 views

A curious 5x5 square

Can you fill a 5x5 grid with numbers from 1 to 5, such that every number occurs exactly once in each row, exactly once in each column and exactly once in each broken diagonal (in both directions)? ...
0
votes
2answers
95 views

Painting edges of a 3x3 grid with 4 colours

Can you paint the edges of a 3x3 grid with 4 colours, such that: The colours of edges of every 1x1 square are different. The colours of edges adjacent to every vertex are different. Here is a ...
0
votes
1answer
61 views

Painting edges of a 2x2 grid with 4 colours

Can you paint the edges of a 2x2 grid with 4 colours, such that: The colours of edges of every 1x1 square are different. The colours of edges adjacent to every vertex are different. Good luck!
63
votes
11answers
47k views

A camel transporting bananas

A somewhat well-known puzzle is described as such: You have a pile of 3,000 bananas. You wish to transport them to a place 1,000 miles away on the back of a camel; however, the camel can only carry ...
1
vote
3answers
2k views

Make 38, 44, 46 using 2,3,8,7?

Using BODMAS/BIDMAS* and the numbers and signs 2,3,7,8, (), -,+,÷,× can you make 38, 44, 46. You can only use each number once. I can't figure it out myself Brackets Order Division Multiply Add ...
8
votes
0answers
132 views

The Flippin' Magician's 7-card Grand Finale

This question is a followup to this question by @ais523, which itself was a followup to this question by @Wen1now. After touring the globe to accolades when performing his 10-card trick and 8-card ...
10
votes
4answers
2k views

Haselbauer-Dickheiser Test no. 3: Circle divided by lines between a blue dots

This is the test no. 3 from Haselbauer-Dickheiser Test. 3. These three circles below all have blue dots on their circumference which are connected by straight lines. These lines divide the ...
3
votes
2answers
183 views

Cross the pond, but there's a catch!

There is a square pond, conveniently divided into segments, with coordinate $(0,0)$ in the bottom left and $(10,10)$ is the top right. You have planks length $2$ and $3$. You start at $(0,0)$ and ...
10
votes
1answer
353 views

Fill the Image Sequence Ep. 2

Suggested by Athin, try & make another feasible puzzle for this series. Enjoy :D The prologue also be revised more precisely. This puzzle will provide several images. These images compose a ...
37
votes
1answer
6k views

I'm largest when I'm five, what am I?

I'm very common and often you see me, Everything's believed to be made of me. Make no mistake, I look largest when I'm seven, But I'm largest when I'm five, it is proven. But alas at ...
12
votes
4answers
2k views

Consecutive numbers that are Manhattan distance 3 apart

Can you place numbers from 1 to 16 on a 4x4 grid, such that the distance between any two consecutive numbers ($a$ and $a+1$) is Manhattan distance 3? Bonus question: can you also make 1 and 16 be ...
4
votes
2answers
222 views

Primes from arithmetic and geometric progressions

The five primes, 131, 157, 211, 349, 739, are neither in arithmetic or geometric progression, but are instead the sum of the corresponding terms of two progressions of five terms each, one arithmetic ...
5
votes
1answer
304 views

Consecutive numbers that are Manhattan distance 5 apart

Can you place numbers from 1 to 36 on a 6x6 grid, such that the distance between any two consecutive numbers ($a$ and $a+1$) is Manhattan distance 5? Bonus question: can you also make 1 and 36 be ...
-5
votes
4answers
244 views

computer programmer's maths puzzle [closed]

A computer programmer looked at part of his code x = x + 1; and then thought what a strange equation that would be for a mathematician $$x=x+1$$ The programmer ...
-9
votes
4answers
271 views

It's his birthday!

A friend of mine told me that he was about to have his birthday. However, he didn't tell me what his birthday was. When is his birthday? Compulsory Hint 0 Compulsory Hint 1
1
vote
2answers
140 views

Painting a 6x6 with 3 colours

Can you paint a 6x6 grid in red, green and blue, such that its every 3x3 sub-grid contains exactly 5 red, 3 green and 1 blue cell? Good luck!
8
votes
4answers
1k views

3x3 self-descriptive squares

A self-descriptive square is a square grid filled with integers such that: The sum of the numbers in any row describes the number of times that row’s rightmost number appears in the square. The sum ...
17
votes
5answers
1k views

Generating Roman numerals with dice

This puzzle is closely based on this one: Generating numbers with cubes Now we want to generate Roman numerals by placing up to three 6-sided dice side by side. We are allowed to write multiple ...
5
votes
1answer
468 views

No interest ever. Just a fee for my end,

Need to lend a tenner? No interest ever. Just a fee for my end, A third of what I lend. Falling short of the fee? I will lend it to thee! What do I lend you all together?
2
votes
0answers
211 views

ARG Puzzle Gate 15 Help

Me and my group (yes I'm in a group trying to solve this) are currently working on an ARG puzzle and we are stuck. The first image/clue to the entire puzzle is what is seen below. The creator of this ...
5
votes
2answers
510 views

Paint 7 cells of a 7x7 grid

Can you paint 7 cells of a 7x7 grid such that the largest unpainted rectangle has area of 6 cells? Good luck!
13
votes
5answers
2k views

Generating numbers with cubes

I saw an interesting calendar in a shop. It is composed of two cubes with numbers written on their 6 sides. By placing these cubes side by side one can make any day of the month from 1 to 31 (even 32)....
1
vote
0answers
75 views

What are my sisters' ages? (With ice cream!) [duplicate]

This is from a book I read as a child. Steve said to his friend Jessica, "I have 3 sisters. The sum of their ages is the same as my age, and the product of their ages is 36. How old are my sisters?"...
17
votes
4answers
3k views

Smallest PRIME containing the first 11 primes as sub-strings

In Smallest number containing the first 11 primes as sub-strings, @Alconja successfully found the smallest number which contains the first eleven primes (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31) as ...
7
votes
2answers
418 views

Smallest prime number which when spelt out contains the letters P, R, I, M, E

So inspired by recent slew of questions based on prime numbers. What is the smallest prime number when written out (Using the Western numbering system and English) would you encounter the letters P, ...
1
vote
1answer
137 views

Minesweeper-type puzzle

The premise is simple. We get a n*n matrix with numbers ranging from 0 to 16. The matrix is the result of a minesweeper-kind of addition whereby we have an original matrix containing numbers ranging ...
7
votes
3answers
768 views

Paint 10 cells of a 10x10 grid

Can you paint 10 cells of a 10x10 grid such that the largest unpainted rectangle has area of 10 cells? Here is a similar question for the 7x7 grid: Paint 7 cells of a 7x7 grid Good luck!
0
votes
1answer
68 views

TripTog's problem with his socks [closed]

Our friendly three-footed alien TripTog has two triplets of socks, which he keeps in a drawer in a room. Each triplet of socks is labeled 1, 2 or 3, because TripTog is very meticulous about which ...
1
vote
0answers
34 views

Triangle of numbers [duplicate]

You can place each number from 1 to 10 into a triangle, such that each number below the first row is the absolute difference of the two numbers above it: ...
1
vote
1answer
67 views

Neighbouring numbers summing to a prime on a 4x4

Can you place every number from 1 to 16 on a 4x4 grid such that every pair of neighbouring (horizontally and vertically) numbers sum to a prime? Note that the generated primes can be reused. A ...
4
votes
3answers
458 views

Neighbouring numbers summing to a prime on a 3x3

Can you place distinct numbers from 0 to 9 on a 3x3 grid such that every pair of neighbouring (horizontally and vertically) numbers sum to a prime? Can you find multiple solutions? Note that the ...
-2
votes
1answer
92 views

Distance between two friends [closed]

Two friends are 200 meters apart in a concourse. They then both walk 100 meters each with their faces towards to each other. Yet after this 100 meter walk they are still 200 meters apart.
5
votes
4answers
363 views

What's wrong with this D20?

Here's a D20 I produced by 3D printing and finishing. Something is wrong with it relative to the intended design. What is wrong and how did it get to be that way? Hint:
4
votes
1answer
120 views

“Short” And Sweet Math

In the following chess diagram, how many possible chess postions exist? No looking at the solution! Source: P1359129 & Andrew Jonathan Mestel, Retros mailing list, 2/1/2019
10
votes
1answer
254 views

What is a Commutative Word™?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles. If a word conforms to a special rule, I call it a Commutative Word™. Use ...
99
votes
8answers
6k views

Make all the statements true

Can you make all the below statements true with a single click? If yes, explain how. Three + Eleven = Ten Seven + Five = Six Two + Four = Eight NB: 'A Single Click' means, with only a single left ...
4
votes
1answer
154 views

Find the least expense?

You want to build a shop between three roads in the shape of an equilateral triangle. What would be the best location for the shop so that you can reach each road with the minimum transportation ...
1
vote
1answer
90 views

One-digit products in a row of numbers, base-N

Generalizing One-digit products in a row of numbers to base-N: For which bases N does there exist at least one solution to the following: "The digits from 1 to N can be arranged in a row, such that ...
7
votes
4answers
2k views

Smallest number containing the first 11 primes as sub-strings

113257 contains the first 6 primes as sub-strings when reading them from left to right: 2: 113257 3: 113257 5: 113257 7: 113257 11: 113257 13: 113257 What is the smallest number that contains ...
7
votes
5answers
389 views

Patient No. 141

I have a rare disease and it is really dangerous. I need oxygen tanks supplying oxygen to me. It is like I rely on oxygen tanks more than water and food. I think that my path to cure takes ...
3
votes
1answer
140 views

The best way to hire people

“We get a lot of applicants for our job vacancies,” said Lionel. He waved a hand in the general direction of the call-centre. “Here at Open to Everybody Insurance Services the jobs don’t need much ...
12
votes
2answers
734 views

One-digit products in a row of numbers

The digits from 1 to 9 can be arranged in a row, such that any two neighbouring digits in this row is the product of two one-digit numbers. Arrangement: Is it possible to do such an arrangement ...
-3
votes
2answers
109 views

How do you make 29 only using the numbers 1 2 3 4 [closed]

How do you make 29 with only using the numbers 1 2 3 4? I have tried a lot of solutions and please remember that you can't use the number 5
44
votes
10answers
147k views

1 2 3 4 5 6 7 8 9 = 100

The sequence of numbers $1\ 2\ 3\ 4\ 5\ 6\ 7\ 8\ 9$ has the property that you can insert mathematical operators in between the numbers from $1$ to $9$ and make the expression evaluate to 100. For ...
9
votes
3answers
1k views

Painting a 4x6 grid with 2 colours

Can you paint a 4x6 grid with 2 colours such that it doesn't contain any rectangles whose corners are all the same colour? Can you do it without a computer? Rectangles must be 2x2 or greater and ...
5
votes
3answers
277 views

Painting a 10x10 grid with 3 colours

Can you paint a 10x10 grid with 3 colours such that it doesn't contain any rectangles whose corners are all the same colour? Rectangles must be 2x2 or greater and parallel to the grid's sides. ...
-3
votes
2answers
247 views

Next number in the sequence?

What is the next number in this sequence? 0, 6, 12, 19, 27, 35, 45, 54, 63, ? Good luck! HINT:
23
votes
11answers
10k views

The 100 soldier problem

I saw this problem many years ago. I am sure many puzzlers will know its original name. I was reminded of it when reading about Conquering of Regions problem. A Strategy Game Involving Conquering of ...
10
votes
2answers
586 views

A Magic Flying Saucer

Place 19 different positive integers on the vertices of this graph so that the 13 products of three numbers in a straight line are all equal. Do so in such a way that the product is as small as ...