AI generatedProbabilityKey Stage 3

Placing values in a two-set Venn diagram

Placing values 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

Place 1, 2, 3, 4, 5, 6, 7, 8, 9 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
See the completed diagram.
Two-set Venn diagramξAB248639157

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Example 2

Place 2, 3, 4, 5, 6, 7, 8, 9, 10 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
See the completed diagram.
Two-set Venn diagramξAB2481063957

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Your turn

Question 1

Place 3, 4, 5, 6, 7, 8, 9, 10, 11 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
Check answer
See the completed diagram.
Two-set Venn diagramξAB48106395711

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Question 2

Place 4, 5, 6, 7, 8, 9, 10, 11, 12 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
Check answer
See the completed diagram.
Two-set Venn diagramξAB481061295711

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Question 3

Place 5, 6, 7, 8, 9, 10, 11, 12, 13 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
Check answer
See the completed diagram.
Two-set Venn diagramξAB8106129571113

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Question 4

Place 6, 7, 8, 9, 10, 11, 12, 13, 14 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
Check answer
See the completed diagram.
Two-set Venn diagramξAB81014612971113

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.

Question 5

Place 7, 8, 9, 10, 11, 12, 13, 14, 15 in the diagram. A is the set of even numbers; B is the set of multiples of 3.

Two-set Venn diagramξAB
Check answer
See the completed diagram.
Two-set Venn diagramξAB810141291571113

Put numbers satisfying both conditions in the overlap first. Then fill A only, B only, and finally neither. Each number appears exactly once.