Can you pack a checkered T-shape and seven checkered L-shapes into a
regular 8x8 checkerboard so that to completely fill it in a way that dark and
light cells are properly alternating?
Some message is hidden in a grid in which only several cells are shaded.
Should any special approach be employed to read the message clearly in the
grid?
Travel through all the cities on the Mars' surface so that you can spell a
complete English sentence at the end of your trip. There are some doubts if
such a trip is ever possible. What would you say?
Get through the three gates placed on the 8x8 board, visiting all of the
64 cells only once. Enter the board at the red gate, pass under the green
and leave at the blue one.
Help each of the five men to reach their
respective houses without crossing the routes of the rest four.
Finding the proper routes leading to the aim is always a good
challenge itself.
When 2 is multiplied by 2 it produces the same result as when 2 is added
to 2. It is 4 in both cases. Can you think of another pair of numbers with
the same arithmetical feature?
Three cubes with three numbers on them should be arranged to create a
number divisible by 7. But is there a way to arrange the cubes in order to
get the proper number?
A sedan chair is useful for not too distant trips. But what to do when it
rains? Close the sedan chair up and get a covered square box in the
simplest possible way!
What is the minimum number of the square patches needed to sew a patch
quilt of a perfect square? Have you ever asked the patch quilt makers
about it? No? Then ask.
A crescent, five straight cuts, and a task of how
many pieces can be obtained with those cuts? What is the maximum
possible number? Does the crescent form make an advantage?
The Postman's route runs through a dozen of houses, but this day he only
needs to visit half of them. The challenge for him is to choose the
shortest route. Can you help the Postman with that?
Help two trains to pass by safely on a narrow segment of railroad using
only a switch that is large enough to hold either an engine or a car at a
time. So how on this simple exchange?
A trapezium is divided into five simple pieces. It is stated several more
shapes can be created when the pieces are rearranged. What are these
shapes? Can you create all of them?
A colorful set of seven pieces which have to be arranged into a Greek
cross. You can rotate the pieces or turn them over, but not overlap or
damage. How perfect your final shape of the cross will be?
Nine coins. Placed in a square they form eight rows of three coins each.
Theory states they can form more rows of three coins. How to get it in
practice?
