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

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

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

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

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

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

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

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

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

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

SolveQuestion 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

SolveAll 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

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

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

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

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

SolveIf 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

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

SolveWhat time is it?

SolveAll 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

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

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

SolvePlace 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.

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

SolveAn 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

SolveWhat'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

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

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

SolveMagnus, 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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