Newest Questions

5 votes
1 answer
278 views

Progressive matrix: 3x3 grids with some cells shaded blue

It is a progressive matrix. You have to figure out what the bottom right panel should be based on the pattern in the other panels.
pfg's user avatar
  • 1,735
24 votes
4 answers
2k views

Dividing a hexagon into 9 equal regions

Can you divide a regular hexagon into 9 regions of equal shape and area?
Dmitry Kamenetsky's user avatar
5 votes
2 answers
1k views

Add 1 line to make a valid equation - 18x18=18

Add 1 line to make a valid equation. No additional conditions are provided, and X is a multiplication symbol. The line has to be... straight, not curved. not used to cancel something. However, ...
RDK's user avatar
  • 2,712
16 votes
1 answer
385 views

Can you colour these chess pieces?

Here is a new little retrograde chess puzzle! In the position below, only kings and pawns remain on the board. Unfortunately, the lighting in the picture was so bad that the black and white pieces ...
Tim Seifert's user avatar
  • 8,822
6 votes
2 answers
326 views

Who wins this altered race to 15?

The nine numbers from 1 to 9 are face up on a table. Two players take turns taking one of the numbers. (Both players can always see which numbers have been taken and which numbers remain.) A player ...
Greg Martin's user avatar
  • 1,347
5 votes
1 answer
304 views

Is the product of square roots of consecutive Fibonacci numbers (starting with 2) ever an integer?

Consider the product: $ \sqrt{2} \times \sqrt{3} \times \sqrt{5} \times \sqrt{8} \times \cdots \times \sqrt{F_n} $ where the integers inside the square roots are the Fibonacci numbers ...
Will.Octagon.Gibson's user avatar
13 votes
1 answer
369 views

I forgot my friend's name! Can you help me?

i was at my friend's house and i forgot her name. but i found these incomplete tax forms she was filling out on the ground. so i thought you ppl could help me figure out what her name is cuz it would ...
pfg's user avatar
  • 1,735
17 votes
3 answers
901 views

Can you find sets of 4 (or 5) positive integers such that their pairwise sums give consecutive numbers?

Warmup question: Is it possible to find four positive integers such that their pairwise sums give six consecutive numbers? Main question: Is it possible to find five positive integers such that their ...
Will.Octagon.Gibson's user avatar
6 votes
3 answers
1k views

Magic fifteen. Who wins the race to 15?

Take nine slips of paper and number them from 1 to 9, then lay them face up on a table. Two players take turns taking one of the numbers (that is, one of the slips of paper). The game ends when either ...
Will.Octagon.Gibson's user avatar
2 votes
5 answers
401 views

Can you get 100 using only 9,1,6,6 each once? [closed]

I was playing Math Flux and the winning goal was 100. We had combined digits out so we can combine 2 digits together Can you get 100 using the digits 9,1,6,6 using only each digit once?
Pauchki's user avatar
  • 39
9 votes
2 answers
293 views

Replace the variables with something.

Given $$ 2X5Y9X2 = 2592 $$ replace $X$ and $Y$ with something to make this equation true. This question is similar to this.
FishDrowned's user avatar
  • 1,112
6 votes
1 answer
290 views

Some actions for you to handle

What's the answer to the puzzle below?
Prim3numbah's user avatar
  • 47.8k
4 votes
2 answers
305 views

Rooms and glases [closed]

Riddle: You have two rooms. In the first room, there are two glasses, one of which contains poison. In the second room, there are four glasses, two of which contain poison. You are required to choose ...
Artem Tymchuk's user avatar
6 votes
2 answers
567 views

Odd neighbors. Can you place coins on a 6x6 chessboard so that every square has an odd number of adjacent squares that contain a coin?

Can you place coins on a 6x6 chessboard, at most one coin per square, so that for each square, whether occupied or not, the number of coins on adjacent squares (sharing a common edge) is odd? ...
Will.Octagon.Gibson's user avatar
17 votes
0 answers
333 views

Edge Removal Game

There is a complete undirected graph with n nodes (n > 1). Alice and Bob take turns removing one edge from the graph, with Alice going first. The player whose move causes any node to become ...
Sixiao's user avatar
  • 1,182

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