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,

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

Solve