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 similar question about quadrilaterals is here: Quadrilateral with sides, diagonals and area that ar...

Can you place thirteen mines on a Minesweeper grid such that they create seven 5s? The size of the grid can be arbitrary. The mines may create numbers other than 5s, but those are irrelevant. A similar question about 4s is here: Twelve Minesweeper mines that make twelve 4s Good luck!

Can you draw 3 overlapping circles (Venn diagram) such that all 7 of the formed regions have the same area?

Is it possible to draw 3 straight lines through a square such that they divide it into 7 equal-sized regions?

Imagine we have some simple mechanical 24 hour wall timers like this: https://cdn.aws.toolstation.com/images/141020-UK/800/65719.jpg 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 (but you can set the times of each)...

This is in the spirit of the What is a Word/Phrase™ series started by JLee with Number version puzzles. If a number conforms to a special rule, I call it a Heptagon Number™. Use the following examples below to find the rule. $$ % set Title text. (spaces around the text ARE important; do not r...

What is the solution for this IQ test question?

I had no problems with solving first 32 questions from http://test.mensa.no but the last 3 questions are totally bugging me out even knowing the answers. Could anyone help me getting the logic behind them? Answers are:

My prefix is to ride My infix is to write My suffix is to go inside What am I? Answer it right! A brief guide: No, the answer does not rhyme with the clues supplied.

My first prefix is relaxing My second prefix holds up mobile cloth My first infix is about average My second infix is only a piece My third infix makes you laugh and cry and stare My suffix is the first among two dozen or so I'm only six letters long And I'm ...

Dear amigo, Joyful it is to be your friend. One of which, people can depend. So without further ado happy birthday to you. Happy birthday to you and - meh, Morah too. Usually there’s a joke, but I'll refrain I suppose. At long last this poem has come to a close Hasta la v...

What am I, and what is the next note? Some call me unemotional and austere, but I will bring the sunshine into anyone's life. I am my next note, though we are not the same. I'm a common complaint from students of language. Let me know if this should me on Music.SE instead!

How can you place 8 mines on a 5x5 Minesweeper grid such that the sum of the produced numbers is maximal? Are there multiple solutions? Good luck with this!

I'm curious about people's thoughts on puzzles that don't have a solution. I've seen a couple of these posted in the last few weeks (since I've been on the forum) and they tend to generate a lot of conversation and views but also seem to be a bit unfair as they ask the puzzler for a solution that...

What is the next number in this sequence? 0, 6, 12, 19, 27, 35, 45, ? Good luck!