Grade 7 Maths Questions on Set Theory With Answers

Grade 7 maths questions on set theory with answers are presented. Some of these questions can be challenging and need more time to be solved. Also, the solutions and explanations are included.

  1. Give the cardinality of set A and B defined by
    A = {a, b, c, d} and B = {1, 4, 7, 9, 10, 12, 23}


  2. Give the cardinality of
    a) the set of all months beginning with M.
    b) the set of all vowels in the English alphabet.

  3. Sets A and B are defined by
    A = {3, 5, 7, 8} and B = {x, y, z}

    Answer by true or false
    a) 3 ∈ A
    b) 3 ∈ B
    c) x ∉ A
    d) z ∈ B
    e) 8 ∈ B

  4. List all terms in each set
    a) The set of all positive even numbers less than or equal to 10
    b) The set of all letters in the word "AUSTRALIA".
    c) The set of all whole numbers greater than 3 and smaller than 16, and divisible by 3.
    d) The set of all whole numbers greater than 5 and smaller than 35, and divisible by 5.
    e) The set of all prime numbers divisible by 3.
    f) The set of all numbers whose absolute value is equal to 7.

  5. Set A, B, C and D are defined by:
    A = {2,3,4,5,6,7}
    B = {3,5,7}
    C = {3,5,7,20,25,30}
    D = {20,25,30}
    Answer by true or false
    a) A ⊂ B
    b) B ⊂ A
    c) B ⊄ C
    d) C ⊂ D
    e) D ⊄ A

  6. Use set A, B, C and D defined in question 5 to find
    a) A ⋃ B
    b) A ⋂ B
    c) B ⋂ C
    d) C ⋃ B
    e) D ⋂ C
    f) (A ⋂ B) ⋂ C
    g) (A ⋃ B) ⋂ (C ⋃ D)
    h) (A ⋃ B) ⋃ (C ⋃ D)

Answers to the Above Questions

  1. Card(A) = 4 , Card(B) = 7
  2. a) 2
    b) 5
  3. a) true
    b) false
    c) false
    d) true
    e) false
  4. a) {2,4,6,8,10}
    b) {A,U,S,T,R,L,I}
    c) {6,9,12,15}
    d) {10,15,20,25,30}
    e) {3}
    f) {-7,7}
  5. a) false
    b) true
    c) false
    d) false
    e) true
  6. a) A ⋃ B = A
    b) A ⋂ B = B
    c) B ⋂ C = B
    d) C ⋃ B = C
    e) D ⋂ C = D
    f) (A ⋂ B) ⋂ C = B
    g) (A ⋃ B) ⋂ (C ⋃ D) = B
    h) (A ⋃ B) ⋃ (C ⋃ D) = {2,3,4,5,6,7,20,25,30}

More
Middle School Maths (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
More
High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers
More
Primary Maths (Grades 4 and 5) with Free Questions and Problems With Answers
Home Page