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
295 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. ...
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 ...
-3
votes
2answers
262 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:
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 ...
11
votes
4answers
895 views

Can multiple wall timers turn lights on or off when required?

Imagine we have some simple mechanical 24 hour wall timers like this: There’s one restriction though, they’re badly designed so each one can only turn on once and turn off once in a 24 hour period (...
8
votes
1answer
511 views

Three lines through a square

Is it possible to draw 3 straight lines through a square such that they divide it into 7 equal-sized regions?
8
votes
1answer
777 views

Venn diagram with 7 equal regions

Can you draw 3 overlapping circles (Venn diagram) such that all 7 of the formed regions have the same area? For the case of two circles and 3 equal regions I found this answer: https://math....
4
votes
2answers
95 views

Pentagon with sides, diagonals and area that are distinct integers

Can you find a convex pentagon (5 sides) such that all its sides, diagonals and area are distinct integers? Note that a polygon is convex if all its internal angles are smaller than 180 degrees. A ...
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 ...
8
votes
2answers
405 views

Quadrilateral with sides, diagonals and area that are distinct integers

Can you find a convex quadrilateral such that all its sides, diagonals and area are distinct integers? Note that a polygon is convex if all its internal angles are smaller than 180 degrees. Good luck!...
4
votes
1answer
159 views

Area of the square

Can you find the area of the following square given the known lengths? Good luck!
-2
votes
1answer
150 views

How do I make numbers 0-100 using only the numbers 2, 0, 0, 4 in order? [closed]

Please help me I need to find out how to do this with maths.
11
votes
2answers
2k views

Three knights searching for a princess in a castle

There is a castle with rooms arranged in a 4x4 square grid. The princess living in the castle sleeps in a different room each night, but always one adjacent to the one in which she slept on the ...
4
votes
1answer
322 views

Two knights searching for a princess in a castle

There is a castle with rooms arranged in a 3x3 square grid. The princess living in the castle sleeps in a different room each night, but always one adjacent to the one in which she slept on the ...
3
votes
1answer
68 views

Arranging people to be in a group with every other person at least once

There are 12 people. These people start in 4 groups - each with 3 people. They swap groups 4 times, so they are in a total of 5 groups. Is it possible for each person to be in a group with every other ...
6
votes
5answers
400 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 ...
-1
votes
1answer
162 views

Fated to earn money [closed]

Here's a puzzle I made. Joe has investments in Company A, Company B, and Company C. Joe is fated to earn $25.00 from Company A within 2 days from now. Joe is fated to earn $45.00 from Company B ...
6
votes
2answers
261 views

Do number sentiments work?

We are of a family of eleven When we join or depart numbers less than a cent Excepting those special ten We turn odd to even and even to odd Like a tiny miracle of god However, in general our company ...
9
votes
3answers
746 views

The Royal Mint of Alphagonia

In the Kingdom of Alphagonia nothing can be bought for less than 30 alphas, the local currency. 1) What three denominations of coins should the kingdom mint so that as many as possible of the (...
4
votes
3answers
595 views

Trying to get to 1234567 with three levers of different function

I am trying to get 1234567. There are three levers, lever a, lever b, and lever c. Lever a shifts 1234567 to the right. So it would look like 2345671. Lever b swaps the third and fifth number. So it ...
4
votes
2answers
223 views

Sum constrained number route grid

Take a blank 6x6 grid (2-dimensional matrix). Pick a cell to start, and write the number 1 in that cell. Then move to an adjacent cell horizontally or vertically. Write 2 in that cell. Continue to ...
2
votes
7answers
1k views

Yet another calculator problem [closed]

This is an easy one, just came out of my mind yesterday, while discussing calculator's architecture with a friend, even if it is not related to architecture itself. A man walks into his office. He ...
1
vote
1answer
320 views

Math puzzle with logic programming

I had below question in one of my assignments for Login Programming for Artificial Intelligence topic. Solve the alphametic:     $ ABCDE $ $+$ $ CFGH$   --------...
5
votes
0answers
244 views

Which is the missing number?

I am working on this puzzle since last week. 01 ?? 05 12 10 13 15 09 14 02 08 03 04 07 11 06 which is the missing number ?? note : answer is not 16
2
votes
1answer
148 views

What is a Dial 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 Dial Word™. Use the ...
8
votes
1answer
549 views

Winning the Lottery

Bob: I hear you won the lottery. Alice: So I did! Bob: What six numbers did you win it with? Alice: Can't remember. All I recall is that they were all different, and none greater than 28. Bob: ...
14
votes
4answers
1k views

Squares inside a square

Distribute the digits from 1 to 9 to a 3x3 square, such that you reach as many square numbers as possible. A valid square number in the 3x3 square is either a single digit square number or is build ...
9
votes
3answers
310 views

Know your primes

Did you know that a prime, regardless of its base, is always a prime? I am looking for a prime. It’s the largest of its kind. In solving this puzzle, the answer you may find. ...
10
votes
2answers
547 views

National Graph Lottery

In UK's National Lottery players choose 6 different whole numbers in the range 1 to 59, and win a large prize if all six match with the day's draw. Each choice of six numbers by a player gives rise ...
0
votes
1answer
273 views

Magic Race between Rabbit and Turtle - who will win?

The race is for 500km and these are the following items they can use in the magic race... Every defect will activate again after completing the mentioned time. Rabbit has the following items ...
5
votes
4answers
373 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:
3
votes
2answers
170 views

Greedy for Cash

Solve this Cryptarithm GIVE + MORE --------- MONEY Referenced from the Britannica Encyclopaedia No. 25 - "Number Prague"
14
votes
4answers
2k views

Many many thanks

The alphametic MANY + MANY = THANKS has no solutions in base 10. How many more "MANYs" must I add before it has a solution?
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 ...
16
votes
1answer
740 views

What is a CirKle 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 CirKle Word™. Use the ...
3
votes
0answers
163 views

Trying to figure a math puzzle/equation for a surprise trip using the date [closed]

I planning a surprise trip for my husband's 40th. He is a math geek. I am not. My plan is to tell him in a series of riddles/puzzles that he needs to figure out. We are going to LA to see his ...
7
votes
1answer
193 views

What are the house numbers?

Following the last question " What is the corner house number?" here is possibly a more challenging version. Fill in the missing house numbers on the map shown below. The area is occupied by math and ...
1
vote
2answers
451 views

'The Imperial triangles' trigonometry question

There is a very well-known family of right triangles in Mathematics called "The Imperial triangles". Let me explain you how they are defined: We say $T_n$ is the $n$-th Imperial triangle if these two ...
5
votes
1answer
270 views

map 5 unequal ranges to id

This is actually coming from a business place, but it's all about being able to do math tricks, and that's why I'm posting here. I want to implement the following function: ...
11
votes
4answers
2k views

A Magic Diamond

Place 15 different positive integers on the vertices of this graph so that the ten products of three numbers in a straight line are all equal.
14
votes
1answer
504 views

What is a NaturaW 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 NaturaW Word™. Use the ...
0
votes
2answers
169 views

Hunting for treasure in 1-d grid [duplicate]

In a castle, there are N rooms in a line. Each room has a door to the two neighbouring rooms (or the one neighbouring room, for the rooms at either end). A treasure is hidden in one of the rooms. ...
7
votes
2answers
934 views

Big number puzzle

I saw this on rec.puzzles many years ago, but can't find the reference to credit the source. I am thinking of a large number. If you want to multiply it by a two digit number $ab$ with $a \lt b$, ...
16
votes
1answer
901 views

Box of tablets, whole or broken: solution required

This is a puzzle that I thought up whilst taking a course of meds. I currently haven’t solved it, and would be curious to know if anyone has a solution for it. Here goes: Scenario: John has a box of ...
3
votes
1answer
260 views

Missing Number in a Seven Segment Circle

What number should replace the question mark? Please be helpful. If you have the answer, please reply to this post with the explanation and answer. If you don't have the answer, then don't comment. ...
7
votes
2answers
358 views

Alice and Bob play at cards

To pass the time Alice and Bob play a simple game of chance where cards are drawn in pairs from a shuffled standard 52-card deck. If two red cards are drawn Alice wins the round. If two black cards ...
0
votes
1answer
113 views

What value will be replaced by question mark? [closed]

I can't find any answer The options are: (a)18. (B) 16. (C)10. (D)12!
12
votes
1answer
724 views

Ernie and the Superconducting Boxes

I was in anticipation all last week. Ernie, who had been travelling for several months, was finally coming home. So over the weekend I dropped in on him. He was bursting with news. "Some wonderful ...
-2
votes
2answers
181 views

I need a solution for this puzzle [closed]

This is meant to be a simple puzzle Given that: 3 - 4= -1 5 + 3= 7 2 + 6= 15 30 / 6= 20 Find: 20% of the sum for the final answer Hint: Final Answer Format: 00/0=0 (/ = ÷) (Divide Symbol)
3
votes
0answers
207 views

Find the missing element?

I've been trying to solve this for quite some time, can you help me solve it? This puzzle was made by one of my friend's teachers. This is not copyrighted and cannot be found anywhere on the internet. ...