12.03 Venn diagrams
Interactive practice questions
A jeweller has arranged his gems based on the cut and colour of the gem:
Cuts - triangular 
, rectangular 
, and octagonal 
Colours - amethysts 
, emeralds 
, and rubies 
A Venn diagram with two overlapping circles. The left circle is labeled "Ruby", and the right circle is labeled "Triangular". The objects that are exclusive to left "Ruby" circle are three ruby-colored gemstones with varying cuts: a ruby octagonal-cut at the top, a ruby-rectangular cut in the middle, and another ruby-octagonal cut at the bottom. The objects that are exclusive to right "Triangular" circle are two triangular gemstones: an emerald triangular-cut gem at the top and an amethyst triangular-cut gem at the bottom. The overlapping region contains one ruby triangular-cut gemstone.
How many of the gems are rubies?
How many of the gems are triangular?
How many of the gems are both rubies and triangular?
A group of students were asked why they skipped breakfast. The two reasons given were that they were "not hungry" and they were "too busy".
A jeweller has arranged his gems based on the cut and colour of the gem:
Cuts - triangular , rectangular , and octagonal
Colours - amethysts , emeralds , and rubies
A student creates the following diagram of their favourite animals.