Worksheet: Intersection of Sets

In this worksheet, we will practice finding the intersection between two sets or more.

Q1:

If 𝐴 = { 6 , 5 , 9 , 1 } and 𝐵 = { 7 , 5 , 9 , 8 } , what is 𝐴 𝐵 ?

  • A { 5 }
  • B { 5 , 9 }
  • C
  • D { 5 , 9 , 1 }

Q2:

Find { 1 } { 1 1 } .

  • A
  • B { 1 1 }
  • C { 1 , 1 1 }
  • D { 1 }

Q3:

Find { 2 , 3 , 6 } { 2 , 3 6 } .

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

Q4:

If 𝑋 = { 7 , 1 } { 7 , 3 } , then 9 𝑋 .

  • A
  • B

Q5:

Given that 𝐴 = { 3 , 6 , 7 , 9 } , 𝐵 = { 3 , 5 , 6 , 9 } , and 𝐶 = { 5 , 6 , 9 } , write the set of common elements in 𝐶 and 𝐵 . Then write the set of elements common to 𝐴 and 𝐵 and 𝐶 .

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

Q6:

If 𝑋 𝑌 , what is 𝑋 𝑌 ?

  • A 𝑌
  • B 𝑈
  • C
  • D 𝑋

Q7:

Use or to fill in the gap: 9 3 { 3 } { 9 } .

  • A
  • B

Q8:

Find { 3 , 9 } { 3 9 } .

  • A { 3 }
  • B
  • C { 9 }
  • D { 3 9 }
  • E { 3 , 9 }

Q9:

Find { 7 , 4 } { 4 , 7 } .

  • A { 7 }
  • B
  • C { 4 }
  • D { 7 4 }
  • E { 4 , 7 }

Q10:

What is { 1 , 4 } { 4 , 6 } ?

  • A { 6 }
  • B { 4 }
  • C 6
  • D { 1 4 }
  • E 4

Q11:

Find { 𝑦 , 𝑥 } { 𝑦 , 𝑧 , 𝑑 } .

  • A
  • B { 𝑦 , 𝑥 }
  • C { 𝑦 }
  • D { 𝑥 }

Q12:

If 𝐴 = { 𝑥 , 𝑦 , 𝑔 , 𝑏 } and 𝐵 = { 𝑥 , 𝑑 , 𝑔 , 𝑎 } , what is 𝐴 𝐵 ?

  • A { 𝑥 }
  • B { 𝑦 }
  • C
  • D { 𝑥 , 𝑔 }

Q13:

If 𝑋 = { 7 , 6 , 9 , 4 } , 𝑌 = { 6 , 9 , 2 } , and 𝑍 = { 3 , 6 , 7 } , what is 𝑋 𝑌 𝑍 ?

  • A6
  • B { 5 , 6 }
  • C { 6 }
  • D7
  • E { 7 }

Q14:

Given that 𝑋 = { 1 , 3 , 4 , 5 } , 𝑌 = { 1 , 6 , 8 , 3 } , and 𝑍 = { 9 , 6 , 3 } , find ( 𝑋 𝑌 ) 𝑍 .

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

Q15:

Find the intersection set between the set of digits of the number 666 and the set of digits of the number 66.

  • A { 6 }
  • B { 6 6 }
  • C { 6 , 6 6 }
  • D { 6 6 6 }

Q16:

𝑋 = { 2 , 6 , 9 , 3 } and 𝑌 is the set of digits of the number 9,922. Find 𝑋 𝑌 .

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

Q17:

If { 2 , 6 , 9 } { 4 , 𝑥 , 2 } = { 2 , 6 } , what is 𝑥 ?

Q18:

If 𝑋 = { 1 , 2 } { 2 , 6 } , then 2 𝑋 .

  • A
  • B

Q19:

If 𝑋 = { 1 , 7 , 4 } { 6 , 4 } , then 𝑋 { 5 , 4 } .

  • A
  • B

Q20:

Use or to fill in the gap: { 9 , 4 , 7 } { 7 , 1 } { 5 , 7 } .

  • A
  • B

Q21:

What is the intersection between the set of digits of the number 72,240 and the set of digits of the number 67,689?

  • A { 7 }
  • B
  • C { 6 }
  • D { 2 , 6 }
  • E { 0 , 2 , 4 , 6 , 7 , 8 , 9 }

Q22:

Given that { 1 4 , 𝑥 } { 2 𝑥 , 𝑥 } = { 7 , 2 𝑥 } { 1 4 , 7 } , what is the value of 𝑥 ?

Q23:

Use or to fill in the gap: { 7 , 9 , 8 } { 7 , 9 8 } { 9 8 } .

  • A
  • B

Q24:

Use or to fill in the gap: { 2 3 } { 2 3 } { 3 } .

  • A
  • B

Q25:

If 𝑋 = { 0 , 7 , 6 } , 𝑌 = { 5 , 9 } , and 𝑍 = { 3 , 1 0 } , what is ( 𝑋 𝑌 ) 𝑍 ?

  • A 7 , 0 , 6 , 5 , 9
  • B
  • C 3 , 1 0
  • D { 1 0 , 3 }

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