Worksheet: Sets and Venn Diagrams

In this worksheet, we will practice representing a set on a Venn diagram.

Q1:

If 𝑋={8,6,2} and 𝑌={7,3,9}, which Venn diagram represents the two sets?

  • A(b)
  • B(d)
  • C(c)
  • D(a)

Q2:

If 𝑋={7,3,9,1} and 𝑌={9,7,2}, which Venn diagram represents the two sets?

  • A(d)
  • B(a)
  • C(b)
  • D(c)

Q3:

If 𝑋={6,2} and 𝑌={2,6,9,8}, which Venn diagram represents the two sets?

  • A(b)
  • B(c)
  • C(a)
  • D(d)

Q4:

If 𝑋={𝑥,𝑚,𝑑,𝑖} and 𝑌={𝑑,𝑎,𝑚}, which Venn diagram represents the two sets?

  • A(C)
  • B(A)
  • C(B)
  • D(D)

Q5:

If 𝑋={8,2,5,4} and 𝑌 is the set of digits in the number 2,956, which Venn diagram represents the two sets?

  • A(d)
  • B(c)
  • C(b)
  • D(a)

Q6:

If 𝑋={6,0,3,7,8}, 𝑌={8,3,5,2}, and 𝑍={8,0,1,4,5}, which Venn diagram represents the sets?

  • A(c)
  • B(b)
  • C(a)
  • D(d)

Q7:

If 𝑋={5,8,7,2} and 𝑌={7,2,6}, which Venn diagram represents the two sets?

  • A(d)
  • B(b)
  • C(a)
  • D(c)

Q8:

If 𝑋={6,8,1,5} and 𝑌 is the set of digits in the number 2,171, which Venn diagram represents the two sets?

  • A(d)
  • B(b)
  • C(c)
  • D(a)

Q9:

If 𝑋={𝑐,𝑑,𝑏,𝑥} and 𝑌={𝑎,𝑑,𝑥}, which Venn diagram represents the two sets?

  • A(B)
  • B(A)
  • C(D)
  • D(C)

Q10:

If 𝑋={4,5} and 𝑌={5,7,4,8}, which Venn diagram represents the two sets?

  • A(b)
  • B(c)
  • C(d)
  • D(a)

Q11:

If 𝑋={7,9,5} and 𝑌={3,4,1}, which Venn diagram represents the two sets?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q12:

If 𝑋={4,1,9} and 𝑌={5,2,6}, which Venn diagram represents the two sets?

  • A(b)
  • B(c)
  • C(d)
  • D(a)

Q13:

If 𝑋={5,6,7,1,3}, 𝑌={5,2,7,0}, and 𝑍={3,4,8,5,2}, which Venn diagram represents the sets?

  • A(b)
  • B(c)
  • C(a)
  • D(d)

Q14:

If 𝑋={0,1,7,8,6}, 𝑌={7,0,5,3}, and 𝑍={3,7,9,6,2}, which Venn diagram represents the sets?

  • A(b)
  • B(c)
  • C(a)
  • D(d)

Q15:

If 𝑋={6,2,3,5,0}, 𝑌={0,6,9,1}, and 𝑍={1,0,8,2,4}, which Venn diagram represents the sets?

  • A(c)
  • B(b)
  • C(a)
  • D(d)

Q16:

Write 𝑌 using the listing method.

  • A 𝑌 = { 8 , 1 , 3 , 6 , 4 }
  • B 𝑌 = { 1 , 3 , 7 }
  • C 𝑌 = { 8 , 6 , 4 }
  • D 𝑌 = { 8 , 1 , 3 , 6 , 4 , 7 }

Q17:

Write 𝑋 using the listing method.

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

Q18:

Using the given Venn diagram, list the elements of set 𝑋.

  • A 𝑋 = { 5 , 6 , 3 , 9 , 1 , 2 }
  • B 𝑋 = { 5 , 6 , 3 , 9 , 1 }
  • C 𝑋 = { 1 , 9 }
  • D 𝑋 = { 5 , 6 , 3 }

Q19:

Use the Venn diagram below to find 𝑈.

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

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