Lesson T5.2.1

T5.2.1 Sets, unions and intersections with Venn diagrams Quiz: KS3 Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T5.2.1, Sets, unions and intersections with Venn diagrams: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 5: Probability, written with Revision Ninja.

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The 20 questions

  1. What does the union of sets A and B contain?

    • Only elements in both A and B
    • Elements in neither set
    • All elements in A or B or both
    • Only elements in A

  2. What does the intersection A ∩ B contain?

    • Elements in neither set
    • Elements in A or B
    • Elements in both A and B
    • Elements only in A

  3. Which symbol means union?

    • ∩
    • ⊂
    • ∈
    • ∪

  4. Which symbol means intersection?

    • ∩
    • ⊆
    • ∪
    • ∉

  5. Set A = {1, 2, 3, 4} and set B = {3, 4, 5}. What is A ∩ B?

    • {5}
    • {1, 2, 5}
    • {1, 2, 3, 4, 5}
    • {3, 4}

  6. Set A = {1, 2, 3, 4} and set B = {3, 4, 5}. What is A ∪ B?

    • {1, 2, 5}
    • {1, 2, 6}
    • {3, 4}
    • {1, 2, 3, 4, 5}

  7. In a Venn diagram, set A has 10 members and 4 of them are also in set B. How many are in A only?

    • 10
    • 4
    • 6
    • 14

  8. Set A has 10 members, set B has 8 members and 3 are in both. How many are in A ∪ B?

    • 11
    • 18
    • 13
    • 15

  9. A group has 30 people. 22 people are in at least one of two clubs. How many people are in neither club?

    • 22
    • 52
    • 30
    • 8

  10. Set E is the even numbers from 2 to 12 and set M is multiples of 3 from 3 to 12. What is E ∩ M?

    • {6, 12}
    • {2, 4, 8, 10}
    • {3, 6, 9, 12}
    • {6}

  11. What does the complement A' mean?

    • Elements in both A and B
    • Elements in A only
    • Elements in neither B nor A
    • Elements not in A

  12. Which symbol represents the empty set?

    • ∪
    • ∈
    • ∅
    • 0

  13. If A ∩ B is the empty set, what is true?

    • The sets are disjoint, with no shared elements
    • One set is a subset of the other, with no gaps
    • The sets are identical, with the same elements listed twice
    • The sets are equal, with every element in both

  14. In a group of 25 students, 12 play football, 10 play hockey and 4 play both. How many play at least one of these sports?

    • 26
    • 22
    • 18
    • 6

  15. Using the same group of 25 students, 12 play football, 10 play hockey and 4 play both. How many play neither sport?

    • 18
    • 3
    • 11
    • 7

  16. Set A = {x : x is even and x < 10} and set B = {x : x ≤ 6}. What is A ∩ B?

    • {2, 4, 6}
    • {2, 4, 6, 8}
    • {1, 3, 5}
    • {8}

  17. A union has 20 members, set A has 12 and set B has 11. How many are in both A and B?

    • 9
    • 3
    • 1
    • 23

  18. A group of 40 people has 22 who like maths, 18 who like science and 6 who like neither. How many like both?

    • 4
    • 12
    • 10
    • 6

  19. A survey of 30 people finds 14 own a dog, 9 own a cat and 4 own both. How many own neither pet?

    • 19
    • 5
    • 23
    • 11

  20. What is the union of {red, blue} and {blue, green}?

    • {red, green}
    • {blue}
    • {red, blue, green}
    • {red, blue, green, pink}

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