Brain Teaser

Question Angles of the same color are identical. What is the measure of the blue angle? 10° 20° 30° 40° 50°

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Question A lune is an area formed by two circles. When two circles intersect, two lunes are formed: the non-intersecting portions

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Question What is the minimum number of colors required to fill the regions of this graph so that no two adjacent (sharing the same

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Question Angles of the same color have the same measure. What is the measure of the green angle? 2 4 5 6 8

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Question You have one container that holds 9 liters and another that holds 12 liters. The smaller container already has 4 liters o

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Question A three-legged creature has an unorganized sock drawer with 4 red socks, 6 blue socks, and 8 yellow socks. The creature r

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Question Three rectangles have areas of 72, 80, and 130. We arrange them so they overlap, as shown. What is the total shaded area?

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Question Using the rules below, you’d like to be able to trace the figure. You can start at any intersection point on the fi

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Question Lin, Malik, Nia, Ophelia, and Pradeep live on different streets in the same neighborhood.   The following informatio

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Question All circles in the dartboard have the same center. Each circle has half the radius of the previous circle. The colors alt

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Question Two squares with side lengths 4 and 6 are arranged side by side. Which value is the closest to the area of the yellow reg

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Question Edgar and Beatrix are playing the “100” game, with the following rules: What is the measure of the green angl

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Question You have one container that holds 15 liters and another that holds 9 liters. The larger container already has 11 liters o

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Question Areas Each number inside a colored region is the area of that region. What is the value of x? 17 18 19 20

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Question The four puzzle pieces in the image fit into the 4×4 grid without rotation or reflection. Based on these clues, find

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Question The fuel used to propel spaceships can’t depend on atmospheric oxygen as a reactant, since they might not be operat

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Question Your twin leaves you on Earth and flies away at 0.8c0.8c0.8c, then turns around nearly instantaneously and returns at the

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Question Angles of the same color have the same measure. What is the measure of the green angle? 30° 35° 40° 45°

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Question A young mouse is weighing an important decision.   The sound of human footsteps is approaching, and the mouse needs

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Question How many squares in this grid contain the orange square? 14, 18, 19, 55  

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Question Each letter stands for a distinct digit, and if letters are different, so are the digits they represent. What digit is E?

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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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