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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Cats have 4 legs, beetles have 6 legs and spiders 8 legs.
I have three times as many cats as spiders.
I have four times as many beetles as spiders.
The number of legs add to 132.
How many of each do I have?
The area of the yellow is equal to the area of the red.
Find the missing length.
A pentagon is made by constructing a right-angled isosceles triangle on top of a square, with sides 2 cm.
Find the area of the pentagon.
Draw a quadrilateral so that each angles, measured in degrees, is a square number.
The two squares have lengths 2 cm and 3 cm.
They overlap as shown.
What is the difference between the areas of the two yellow parts of each square?
I have 2 circular, concentric train tracks.
The inside train track has a radius of 3 m.
The outside train track has a radius of 4 m.
They both start at the same time at the Northerly position on their tracks, travelling anticlockwise and at the same speed.
What is the relative position of the two trains when the inner train has completed 13 laps?
I have 4 digits.
I am a perfect square.
I have rotational symmetry so look the same upside down.
My square root is prime.
What number am I?
I have 1000 apples and 10 empty boxes.
I want to put the apples in the boxes so I can sell any amount and just hand over the pre-packed boxes.
How many apples should I put in each box?
Paul keeps pigs and chickens.
Between them, his animals have 22 heads and 58 legs.
How many pigs and chickens does Paul have?
Use factorials to simplify
1 1/2 × 2 2/3 × 3 3/4 × 4 4/5 × … × 19 19/20 × 20 20/21
Give an answer in the form a × 20!