Worksheet: Intersection of Sets Using Venn Diagrams

In this worksheet, we will practice using Venn diagrams to find intersections between sets.

Q1:

Using the Venn diagram below, find 𝑋𝑌.

  • A{7,9,5}
  • B{8,3}
  • C{4,2,1}
  • D{4,2,1,7,9,5}
  • E{4,2,1,7,5,9,8,3}

Q2:

Find the set of elements common to 𝑋, 𝑌, and 𝑍.

  • A{4,1,9,2}
  • B{8,6,3}
  • C{8,5,7,6,3}
  • D{4,1,6,5,7,8,9,3,2}
  • E{5,7}

Q3:

Use or to fill in the gap: The Venn Diagram shows {5,1}(𝑋𝑌).

  • A
  • B

Q4:

Using the Venn diagram below, find 𝑋𝑌.

  • A{𝑎,𝑚}
  • B{𝑥,𝑛,𝑦,𝑒,𝑘}
  • C{𝑥,𝑛,𝑦}
  • D{𝑒,𝑘}
  • E{𝑥,𝑛,𝑦,𝑎,𝑚,𝑒,𝑘}

Q5:

Write the set of elements in both 𝑋 and 𝑌.

  • A{6,1,9,2,4,3,5}
  • B{3,5}
  • C{6,1,9}
  • D{2,4}
  • E{6,1,9,2,4}

Q6:

Use the Venn diagram below to find 𝑍𝑌.

  • A{3,4}
  • B{9,2}
  • C
  • D{3,4,9,2}

Q7:

Using the Venn diagram, find 𝑍𝑌.

  • A{6,9,1,2,3}
  • B
  • C{6,9,2,3}
  • D{6,9,2,1}

Q8:

Write the set of elements in both 𝐴 and 𝐵.

  • A{2,9,5,7,3,4,1}
  • B{5}
  • C{4,1}
  • D{2,9,7,3}
  • E{2,9,5,7,3}

Q9:

Using the Venn diagram, find 𝑋𝑈.

  • A
  • B{5,0}
  • C{3,6}
  • D{5,0,4,8}
  • E{3,6,5,0}

Q10:

Using the Venn diagram, find 𝑋𝑍.

  • A{1,5}
  • B{0,5}
  • C{6,7}
  • D{8,3}
  • E{0,1}

Q11:

Given the Venn diagram, which of the following represents the set {9,0}?

  • A𝑌𝑍
  • B𝑋𝑍
  • C𝑋𝑍
  • D𝑋𝑌
  • E𝑋𝑌

Q12:

Using the Venn diagram, find 𝐴𝐵𝐶.

  • A{2,4}
  • B{8}
  • C
  • D{8,2,4}

Q13:

Use or to fill in the gap: The Venn Diagram shows {9,6}(𝑋𝑌).

  • A
  • B

Q14:

Use or to fill in the gap: The Venn Diagram shows 4(𝑋𝑍).

  • A
  • B

Q15:

Use or to fill in the gap: The Venn Diagram shows {7}(𝑌𝑋).

  • A
  • B

Q16:

Use the Venn diagram below to find 𝑋𝑋.

  • A{8,3,7,9,6,5}
  • B
  • C{8,3,7}
  • D{9,6,5}

Q17:

Use or to fill in the gap: {5}(𝑋𝑌).

  • A
  • B

Q18:

Use the Venn diagram below to find 𝑋𝑌.

  • A{3,8,4}
  • B{4,8,3,1,9}
  • C{5,7,2,6,4,8,3}
  • D{5,7,2,6}

Q19:

Use or to fill in the gap: The Venn Diagram shows 8(𝑋𝑍).

  • A
  • B

Q20:

Find the set of elements common to 𝑋, 𝑌, and 𝑍.

  • A{9,2,4,1}
  • B{8,5,6}
  • C{8,7,3,5,6}
  • D{9,2,5,7,3,8,4,6,1}
  • E{7,3}

Q21:

Use the Venn diagram below to find 𝑋𝑌.

  • A{7,4,1}
  • B{3,2}
  • C
  • D{7,4,1,3,2}

Q22:

Write the set of elements in both 𝐴 and 𝐶.

  • A{6,7,2,1,9,3,8}
  • B{2,9}
  • C{6,7,2,3}
  • D{9}
  • E{1,9,2}

Q23:

Write the set of elements in both 𝑋 and 𝑌.

  • A{9,5,4,2,6,7,3,8}
  • B{3,8}
  • C{9,5,4}
  • D{2,7,6}
  • E{9,5,4,2,7,6}

Q24:

Using the Venn diagram, find 𝑋𝑌.

  • A{8,1}
  • B{5,8,1}
  • C{3,8,1,9}
  • D{3,8,1}
  • E{3}

Q25:

Use the Venn diagram below to find 𝐶𝐵.

  • A{2,3,9,1}
  • B{2,1}
  • C{5,7}
  • D
  • E{3,9}

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.