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problem
Cyclic quad jigsaw
14 to 16
A picture is made by joining five small quadrilaterals together to
make a large quadrilateral. Is it possible to draw a similar
picture if all the small quadrilaterals are cyclic?
problem
Arranging the tables
7 to 11
There are 44 people coming to a dinner party. There are 15 square
tables that seat 4 people. Find a way to seat the 44 people using
all 15 tables, with no empty places.
problem
Favourite
Watch the clock
7 to 11
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
problem
Knapsack
14 to 16
You have worked out a secret code with a friend. Every letter in the alphabet can be represented by a binary value.
problem
Adding machine
16 to 18
Can you set the logic gates so that this machine can decide how many bulbs have been switched on?
problem
Favourite
Harmonically
16 to 18
Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?
problem
Favourite
Triangle numbers
11 to 14
Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
problem
Impossible picture?
14 to 16
Under what circumstances can you rearrange a big square to make three smaller squares?