AI generatedProbabilityKey Stage 3

Shading regions in a two-set Venn diagram

Shading regions in a two-set Venn diagram.

  • The rectangle is the universal set. The overlap belongs to both sets.
  • Fill the overlap first; subtract it from each set total to find the “only” regions.
  • Union means either or both; intersection means both; complement means outside the named set.

Example 1

Shade .

Two-set Venn diagramξAB
See the shaded solution.
Two-set Venn diagramξAB

The overlap belongs to both sets.

Example 2

Shade .

Two-set Venn diagramξAB
See the shaded solution.
Two-set Venn diagramξAB

Shade all of both circles, including the overlap.

Your turn

Question 1

Shade .

Two-set Venn diagramξAB
Check answer
See the shaded solution.
Two-set Venn diagramξAB

Shade everything outside A, within the universal set.

Question 2

Shade .

Two-set Venn diagramξAB
Check answer
See the shaded solution.
Two-set Venn diagramξAB

Inside A, but not inside B.

Question 3

Shade .

Two-set Venn diagramξAB
Check answer
See the shaded solution.
Two-set Venn diagramξAB

Outside both circles, but inside the universal set.

Question 4

Shade .

Two-set Venn diagramξAB
Check answer
See the shaded solution.
Two-set Venn diagramξAB

Everything except the overlap.

Question 5

Shade .

Two-set Venn diagramξAB
Check answer
See the shaded solution.
Two-set Venn diagramξAB

The overlap belongs to both sets.