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 𝐴𝐵?

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

Q2:

Find {1}{11}.

  • A{1}
  • B{1,11}
  • C
  • D{11}

Q3:

Find {2,3,6}{2,36}.

  • A{2,3,6}
  • B{3,6}
  • C{2}
  • D{36}

Q4:

If 𝑋={7,1}{7,3}, then 9𝑋.

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

Q6:

If 𝑋𝑌, what is 𝑋𝑌?

  • A𝑈
  • B𝑋
  • C
  • D𝑌

Q7:

Use or to fill in the gap: 93{3}{9}.

  • A
  • B

Q8:

Find {3,9}{39}.

  • A
  • B{39}
  • C{3,9}
  • D{3}
  • E{9}

Q9:

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

  • A{4}
  • B{74}
  • C{4,7}
  • D{7}
  • E

Q10:

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

  • A{14}
  • B6
  • C4
  • D{4}
  • E{6}

Q11:

Find {𝑦,𝑥}{𝑦,𝑧,𝑑}.

  • A{𝑦}
  • B{𝑥}
  • C{𝑦,𝑥}
  • D

Q12:

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

  • A{𝑥,𝑔}
  • B{𝑦}
  • C
  • D{𝑥}

Q13:

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

  • A7
  • B{7}
  • C6
  • D{5,6}
  • E{6}

Q14:

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

  • A{3,1}
  • B{3,6}
  • C{3}
  • D

Q15:

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

  • A{66}
  • B{6}
  • C{666}
  • D{6,66}

Q16:

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

  • A{99,22}
  • B{9}
  • C{9,2}
  • D{6,3}
  • E{92}

Q17:

If {2,6,9}{4,𝑥,2}={2,6}, what is 𝑥?

Q18:

If 𝑋={1,2}{2,6}, then 2𝑋.

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

Q22:

Given that {14,𝑥}{2𝑥,𝑥}={7,2𝑥}{14,7}, what is the value of 𝑥?

Q23:

Use or to fill in the gap: {7,9,8}{7,98}{98}.

  • A
  • B

Q24:

Use or to fill in the gap: {23}{23}{3}.

  • A
  • B

Q25:

If 𝑋={0,7,6}, 𝑌={5,9}, and 𝑍={3,10}, what is (𝑋𝑌)𝑍?

  • A{10,3}
  • B7,0,6,5,9
  • C
  • D3,10

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