Lesson Worksheet: Expressing a Set Mathematics

In this worksheet, we will practice expressing a set by identifying its elements.

Q1:

Using the listing method, express the set of the days of the week.

  • A{Sunday, Monday, Tuesday, Wednesday}
  • B{Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday}
  • C{Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday, Friday}
  • D{Sunday, Monday, Tuesday, Wednesday, Thursday}
  • E{Sunday, Monday, Tuesday}

Q2:

Using the listing method, write the set of months of the year that begin with the letter “A”.

  • A{August}
  • B{January, February, March, May}
  • C{April, August}
  • D{April, August, January, February, March, May}
  • E{Autumn}

Q3:

𝑋 is the set of odd numbers greater than 2 and less than 10. Write 𝑋 using the listing method.

  • A𝑋={3,5,7,9}
  • B𝑋={2,3,5,7,9,10}
  • C𝑋={4,6,8}
  • D𝑋={3,5,7,9,10}
  • E𝑋={2,3,5,7,9}

Q4:

Find the set of natural numbers that are less than 7.

  • A{0,1,2,3,4,5,6,7}
  • B{1,2,3,4,5,6}
  • C{0,2,4,6}
  • D{0,1,2,3,4,5,6}

Q5:

𝑋 is the set of odd numbers greater than 8. Write 𝑋 using the listing method.

  • A𝑋={11,13,15,}
  • B𝑋={10,12,14,}
  • C𝑋={8,9,11,}
  • D𝑋={9,11,13,}

Q6:

𝐴 is the set of whole numbers a such that 7>𝑎. Write 𝐴 using the listing method.

  • A𝐴={8,9,10,}
  • B𝐴={0,1,2,3,4,5,6}
  • C𝐴={0,1,2,3,4,5,6,7}
  • D𝐴={7,8,9,10,}

Q7:

𝑌 is the set of digits in the number 90,590. Write 𝑌 using the listing method.

  • A𝑌={9,0,5,9,0}
  • B𝑌={9,5,0}
  • C𝑌={90,590}
  • D𝑌={90,5,90}

Q8:

𝑀 is the set of all two-digit numbers which are divisible by 22. Write 𝑀 using the listing method.

  • A𝑀={22,44,66,88}
  • B𝑀={22,44,66,88,110}
  • C𝑀={22,44,66}
  • D𝑀={44,66,88}

Q9:

𝑌 is the set of prime numbers greater than 7 and less than 25. Write 𝑌 using the listing method.

  • A𝑌={13,17,19,23}
  • B𝑌={11,13,17,19,23}
  • C𝑌={9,11,13,15,17,19,21,23}
  • D𝑌={11,13,17,19}

Q10:

𝐴={304,306,308}. Which statement describes 𝐴?

  • A𝐴 is the set of odd numbers between 303 and 309
  • B𝐴 is the set of prime numbers between 303 and 309
  • C𝐴 is the set of even numbers between 303 and 309
  • D𝐴 is the set of the whole numbers between 303 and 309

This lesson includes 20 additional questions and 222 additional question variations for subscribers.

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