Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!
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How many hexagons are in the diagram?
Three congruent squares overlap as shown.
The areas of the three overlapping sections are 3 cm2, 9 cm2 and 14 cm2 respectively.
The total area of the non-overlapping parts of the squares is 140 cm2.
What is the side-length of each square?
Each of the touching semicircles has a radius of 2 cm.
What is the length of the perimeter of the green area in terms of π?
Use the digits contained in 4096, to make 4096.
Each digit can be used only once and any
mathematical symbols and operations can be used.
A triangle sits perfectly on top of a square.
The triangle and square have the same perimeter.
What is the ratio of the perimeter of the irregular pentagon
(formed by the square and triangle) to the perimeter of the square?
My new TV screen has sides in the ratio of 16:9.
My old TV screen had sides in the ratio of 4:3.
A picture that fills my new TV fills the width of my old TV, but not the height.
What fraction of my old TV’s screen is not covered?
I invent the new dartboard shown.
I throw two darts at it and both hit the target.
I score the number of points shown in each region.
How many different totals can I score?
The large square is split into four congruent squares.
Two squares have smaller squares inside them formed by joining the midpoints of the sides.
What fraction of the large square is shaded?
A square is split into nine identical squares. Each sides has a length of one unit.
Circles are inscribed in two of these squares, as shown.
What is the shortest distance between the two circles?
I have a lock with a three-digit code.
I know all the digits of the code are different and that if I divide the second digit by the third and then square my answer, I will get the first digit.
There are different possible codes.
What is the difference between the largest and smallest possible codes?