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Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
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Difficulty: 3 of 5 Latest: Pruned Triangle (in Geometry)

  
A paper triangle has its vertices cut off. Each cut is along a straight line
parallel to the side opposite the vertex and tangent to the triangle's incircle.

Prove that the triangle's inradius is equal to the sum of inradii of the
three triangles cut off.
  
(No Solution Yet, 0 Comments) Submitted on 2017-07-28 by Bractals   
You have to sort five weights weighing 51g, 52g, 53g, 54g, and 55g. You have a balance scale with which you can compare the weights. But after solving so many sorting puzzles, it is starting to break down.

If the difference between two weights is greater than 1.5g, the scale will correctly determine which side is heavier. If the difference between the weights is less than 1.5g or equal, the scale will indicate the weights are equal.

Sort the weights in the smallest number of weighings.

(Solution Posted, 17 Comments) Submitted on 2004-08-02 by Brian Smith   
Difficulty: 4 of 5Add'em all ! (in Numbers)
Posted on 2017-07-27 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5From The Book of Squares (in Numbers)
Posted on 2017-07-26 by Jer (No Solution Yet, 3 Comments)
Difficulty: 3 of 5An ambiguous inheritance (in Just Math)
Posted on 2017-07-25 by Jer (No Solution Yet, 4 Comments)
Difficulty: 1 of 5Not too many (in Just Math)
Posted on 2017-07-24 by Ady TZIDON (Solution Posted, 1 Comments)
Difficulty: 3 of 5Pandigitals Divided by 11 (in Numbers)
Posted on 2017-07-23 by Brian Smith (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Almost-pandigital sets (in Numbers)
Posted on 2017-07-22 by Ady TZIDON (Solution Posted, 1 Comments)
Difficulty: 3 of 52 bases (in Numbers)
Posted on 2017-07-21 by Ady TZIDON (Solution Posted, 2 Comments)
Difficulty: 3 of 5Q & A (in General)
Posted on 2017-07-20 by Ady TZIDON (Solution Posted, 4 Comments)
Difficulty: 3 of 510-Word Square (in Word Problems) Rating: 3.00
Posted on 2017-07-19 by Charlie (No Solution Yet, 1 Comments)
Difficulty: 2 of 5From Mahavira (in Just Math)
Posted on 2017-07-18 by Jer (No Solution Yet, 11 Comments)
Difficulty: 2 of 53 and 4-digit numbers (in Numbers)
Posted on 2017-07-17 by Ady TZIDON (Solution Posted, 6 Comments)
Difficulty: 3 of 5Guess who (in Sequences)
Posted on 2017-07-16 by Ady TZIDON (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Brazilian numbers (in Sequences) Rating: 3.00
Posted on 2017-07-15 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 4 of 5Unpainting Black (in Probability)
Posted on 2017-07-14 by Brian Smith (No Solution Yet, 5 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Q & A (in General)
Submitted By Ady TZIDON. Solution posted on 2017-07-28 11:21:58
Difficulty: 1 of 5Not too many (in Just Math)
Submitted By Ady TZIDON. Solution posted on 2017-07-28 11:20:17
Difficulty: 3 of 5Almost-pandigital sets (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2017-07-28 11:16:48
Difficulty: 4 of 5Get all the Real Parts of the Problem (in Just Math)
Submitted By Brian Smith. Solution posted on 2017-07-24 21:13:23
Difficulty: 3 of 52 bases (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2017-07-23 08:52:53
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