The diagram below shows two identical, large squares divided into smaller squares.
Which area is larger, blue or green?
A swing is in motion with a girl sitting on it. If the girl stands up on the swing when the swing is at the lowest point, what happens to the time period of the swing?
If \[a + b = 5 + 5\] and \[\displaystyle \frac 1a + \frac 1b = \frac15 + \frac15,\] is it necessarily true that \(a\times b = 5\times5?\)
There is exactly one ladybug in each cell of a \(5\times 5\) square, as shown in the figure. Then, each ladybug simultaneously flies into a randomly selected, adjacent square that shares an edge.
Is it possible that, after all the ladybugs have moved, there is still only one ladybug in each cell?
Peggy is a treasure hunter trying to open two treasure boxes. One box has 2 switches and the other has 4 switches. All of the switches are initially turned off. To open a treasure box,
Peggy successfully opens the box with 2 switches in the following manner:
Can Peggy open the box with 4 switches?
Hint: What if Peggy's box had 3 switches instead?