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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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?
The diagram shows a sequences of shapes made up of black and white tiles.
Each shape increases by two rows and two columns.
How many black tiles are required for the 10th shape in the sequence?
I am thinking of an integer (whole number) that has exactly 8 factors including 6 and 15.
What is my integer?
Draw a straight line/s so the shape is split into two congruent halves.
This is a fishy problem.
Alex catches between 60 and 90 fish.
She counts them in fours and has 3 fish left over.
She counts them in fives and has 1 fish left over.
How many fish does she catch?
With one straight cut you can slice a pie into two pieces.
A second cut will produce four pieces of pie and a third cut can produce up to seven pieces of pie.
What is the largest number of pieces of pie that you can get with six straight cuts?
A spider is at the vertex X on a cube of side length 12 cm. It strolls along the marked path to vertex Y.
How far has the spider strolled?
A goldfish costs £1.40 and a swordtail fish costs £1.80.
Chris spent exactly £20 for some of these fish.
How many of each did he buy?