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0580 · Notes & worked examples

Two sets and Venn diagrams · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Two sets and Venn diagrams — objective 1

Maths4U Original · Short practice

The universal set has 18 members. The disjoint counts are: A only 6; B only 5; both 2; neither 5.

Find n(A∪B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Two sets and Venn diagrams — objective 1

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 7; B only 6; both 3; neither 6.

Find n(A∪B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Two sets and Venn diagrams — objective 2

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 7; B only 6; both 3; neither 6.

Find n(A∩B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Two sets and Venn diagrams — objective 2

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 8; B only 7; both 4; neither 3.

Find n(A∩B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Two sets and Venn diagrams — objective 3

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 8; B only 7; both 4; neither 3.

Find the number in A only.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Two sets and Venn diagrams — objective 3

Maths4U Original · Short practice

The universal set has 26 members. The disjoint counts are: A only 9; B only 8; both 5; neither 4.

Find the number in A only.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Two sets and Venn diagrams — objective 4

Maths4U Original · Short practice

The universal set has 26 members. The disjoint counts are: A only 9; B only 8; both 5; neither 4.

Find n(A′).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Two sets and Venn diagrams — objective 4

Maths4U Original · Short practice

The universal set has 18 members. The disjoint counts are: A only 3; B only 4; both 6; neither 5.

Find n(A′).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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