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CanadaON
Grade 8

6.02 Venn diagrams

Interactive practice questions

A jeweller has arranged his gems based on the cut and colour of the gem:

Cuts - triangular a triangular-cut gem, rectangular a rectagular-cut gem, and octagonal an octagonal-cut gem

Colours - amethysts an amethyst-coloured circle, emeralds an emerald-coloured circle, and rubies a ruby-coloured circle

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.

a

How many of the gems are rubies?

b

How many of the gems are triangular?

c

How many of the gems are both rubies and triangular?

Easy
< 1min

A jeweller has arranged his gems based on the cut and colour of the gem:

Cuts - triangular a triangular-cut gem, rectangular a rectangular-cut gem, and octagonal an octagonal-cut gem

Colours - amethysts an amethyst-shaded circle, emeralds an emerald-shaded circle, and rubies a ruby-shaded circle

Easy
< 1min

A student creates the following diagram of their favourite animals.

Easy
< 1min

A group of students were asked about their siblings. The two categories show if they have at least one brother, and if they have at least one sister.

Easy
1min
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Outcomes

8.D2.1

Solve various problems that involve probability, using appropriate tools and strategies, including Venn and tree diagrams.

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