9th Grade Two Sets Quizzes , Questions & Answers

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Inclusion–Exclusion for Two Sets (Applied & Algebraic Focus)

Can you use inclusion–exclusion beyond basic set diagrams? In this quiz, you’ll apply the idea to algebraic expressions and more complex counting setups. You’ll begin with straightforward numerical cases and...

Questions: 20 | Attempts: 16 | Last updated: May 20, 2026

Sample Question 1
In a survey, Music=60, Art=45, and both=25. Which statements are true?

Union = 105

Union = 80

Exactly one = 55

Music and Art are disjoint

Sample Question 2
If P(A∪B)=0.7, P(A)=0.5, P(B)=0.4, then A and B are disjoint.

True

False

Inclusion–Exclusion for Two Sets

Are you ready to make sense of how two sets overlap? In this quiz, you’ll explore how the inclusion–exclusion principle helps you calculate unions and intersections with confidence. You’ll practice...

Questions: 20 | Attempts: 13 | Last updated: May 20, 2026

Sample Question 1
Which formula correctly gives the size of the union of two finite sets A and B?

Size of union = A + B

Size of union = A + B - A∩B

Size of union = A - B + A∩B

Size of union = A∩B

Sample Question 2
In which situations does double-counting occur if we add the two set sizes directly?

Counting students who like both music and drama

Counting only those who like exactly one activity

Adding disjoint categories

Including overlapping members twice

9th Grade Two Sets Quizzes , Questions & Answers

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