Brain Teaser

Two trains, each traveling at a speed of are headed toward each other on the same track. At the exact moment the trains are apart,

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Art gallery problems involve finding an unmoving guard (or guards) who can “see” the entire gallery. A guard is able t

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Can Area Reveal Volume? Consider the two shapes inside the two identical cylinders whose radius is equal to its height.

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Can a 10 x 10 grid of cells be covered by 25 1 x 4 pieces?

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All four Kings from a deck of cars are placed face down on a table in a random order. You select two of them, and if both are the

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A system of two symmetrical, identical, water-filled jars is fixed on a turntable. Each jar has a cork—attached to the bottom by

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Question Two of the following statements are true and the other one is false: This statement is true. The first statement is false

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True or False? The sum of two consective triangular numbers is always a square numbers!

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Which string will break first? a. Horizontal String!, b. Vertical String!, c. Both will break at the same time

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If a number n can be factored as a×b then n will appear in row a+b-1. For example the number 6 appears in row 1+6-1=6 but also ro

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Nine consecutive integers are placed in the squares of a 3x3 grid. Every column, every row, and every diagonal add up to the same

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What time is it?

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All four Kings from a deck of cards are placed face down on a table in a random order. You select two of them, and if both are the

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How many quadrilaterals are drawn in this figure? Hint: Be sure to count both convex and concave quadrilaterals.

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A light ray emitted from a vertex of this isosceles triangle reflects 6 times before reaching another vertex. What is the total

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Place the ten integers 2 through 11 into the ten squares such that the sum of the numbers in each 2x2 square is the same value, P.

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Regular hexagon patio blocks of area 1 are used to outline the garden shown, with n=5 blocks on each side placed edge to edge.

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An ant named Honey is kept outside a solid cube on a leash, which extends to twice the side length of the cube. The leash can b

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What's the minimum number of straight cuts required to cut a circle into 7 regions of equal area? There are a number of ways t

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The area of the whole rectangle is 160 and the area in red is 12. What is the area in green?

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Seven identical regular hexagons are arranged in a honeycomb pattern. If each hexagon has area 8, what is the area of the red tria

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Magnus, Garry, and Fabiano are playing in a badminton event. In this event, after two players face off for a set, the winner stays

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