Blackball Pool Puzzles

A series of pool related puzzles for your pleasure and edification.
Some of these are not easy!
The solution to every puzzle will shortly be linked at the foot of this page.

Ball Heads Puzzle
The first puzzle is self-explanatory.
Simply provide a value for the final image in the series.

blackball pool puzzle balls red yellow rack

Balls in Sequence Puzzle
This is all about sequences.
Select the 6th in sequence from images A, B, C, D and E.

Blackball Pyramid Puzzle
Below is a 4-sided, square base pyramid formed by pool balls.
There are four layers numbered from top to bottom 1, 2, 3, 4.
Individual balls have these points values…
Red = 1
Yellow = 2
Blue = 3
White = 4
Black = 5
Each layer consists of balls all of the same colour except that a single black ball is out of sight somewhere within the pyramid.
The sum value of all of the balls in the pyramid is 53 points.
In which layer is the black ball ?

blackball pool puzzle balls pyramid layers

Poolean Logic Puzzle
There are three pool balls.
Red, yellow and blue.
They are numbered 1, 2 and 3, but perhaps not in that order.
Only one of these statements is true, the other two being false…
1 is Red
2 is not Red
3 is not Blue
What is the number on each ball?

blackball pool puzzle balls boolean logic