Can you crack these cryptarithms?

Can you find ways to put numbers in the overlaps so the rings have equal totals?

What are the possible areas of triangles drawn in a square?

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

Liz played Approaching Midnight and wondered how changing the smallest step size affects the game.

Bernard played Approaching Midnight and wondered whether the start time affects who wins.

Jennie tried the Approaching Midnight game and wondered if it matters whether you go first or second.

Want a serious challenge? Have a look at these ideas for changing the Approaching Midnight game.