Sets Class 6 Worksheet: Sets Class 6 Math Worksheet is available here. This worksheet includes questions on a finite set, infinite, descriptive, roster form, empty, equivalent, and null sets & More. For more Worksheet you can check this page.
Sets Class 6 Math Worksheet
1.) Tell which of the following statement are set and which are not.
i) The whole number less than 15
ii) Integers less than 0
iii) The capital of Indian states.
iv) The collection of novels of Shakespeare.
v) A set of Letter in ‘Small’
vi) The collection of good stories.
vii) 90% Marks in a class.
viii) The difficult questions of Pre-Mid Term test.
ix) The geometrical instruments.
x) The collection of Rational Number.
2) Define:
i) What is Sets.
ii) Write the Type of Sets.
iii) What is meant by the symbol ∈
3) If A = {Vowel in English Alphabet} & B = {consonants of english alphabet} then, which of the following statements are true or false.
i) i ∈ A
ii) a ∉ B
iii) z ∈ A
iv) c ∉ B
v) d ∈ A
vi) j ∉ B
vii) c ∈ A
ix) k ∈ B
x) m ∉ A
4) Fill in the blanks by using the symbol belong to (∈) and Not belong to (∉)
i) 0 ____ The set of Natural Number
ii) B ____ The set of consonant of English alphabet.
iii) 100 ____ The set of counting numbers.
iv) 4 _____ The set of multiples of 2.
v) 3 ______ The set of factor of 10.
vi) School Monitor ______ The Set of articles of a school bag.
vii) Wicket-keeper ______ The set of football player in a team.
viii) 4 ______ The set of composite number.
ix) c _____ {a, b, c}’
x) Kolkata _____ The set of State of India.
5) Tick () which of the following are Sets
i) A = (K, H, U, S, H, I)
ii) B = (S, U, H, A, N, I)
iii) C = (B, A, L, L)
iv) D = (0, 1, 0, 1)
v) E = (8, 8, 0, 1, 2, 3, 8, 8, 6)
vi) F = The set of beautigul birds
vii) G = The set of storybooks
viii) H = The set of toppers in a class.
ix) I = The set of tasty food.
x) J = collection of fish in the river Ganga.
6) List all the elements of the following sets
i) The set of ten prime numbers.
ii) The set of two co-prime number
iii) The set of three street foods in India.
iv) The set of two days in a week starting with alphabet ‘T’
v) The set of odd natural numbers less than 10
vi) The set of all even integers which lie between -5 and 10
vi) The set of months in a year.
vii) The set of five rivers in India
viii) The set of three Indian cricket players.
ix) The set of seven colors in a rainbow.
x) The set of three Acids in chemistry.
7) Write the following sets in descriptive form
i) A = {0, 1, 2, 3, 4, 5}
ii) B = {2, 4, 6, 8, 10}
iii) C = {meat, fish, Eggs, soybean}
iv) D = {cricket, football, badminton, tennis}
v) E = {Light, Sound, Electricity, Force}
8) Write the following sets in roster / tabular form
i) A = {The set of Months in a year having 31 days}
ii) B = {The set of Vowels in English alphabet}
iii) C = {The set of multiples of 9 and less than 50}
iv) D = {The set of letters of the word Mumbai}
v) E = {The set of five metropolitan cities of India}
9) Which of the following set is an empty set
i) The set of natural number less than 1.
ii) 4, 6 is a set of co-prime number
iii) The set of positive prime number less than 5
iv) The set of month having 27 days
v) The set of number between 97 and 99
10) Tick correct (✓) sign beside finite set.
i) The set of multiples of 10 below 100
ii) The set of fractional number.
iii) The set of Whole number.
iv) The set of formula in Mathematics
v) A = {1/2, 3/4, 5/6, 7/8}
11) Which of the following sets are Equal Sets?
i) A = {a, c, d, e}, B = {e, a, d, c}
ii) A = {Set of whole number upto 10}, B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
iii) A = {Set of month starting with J}, B = {Set of month starting with S}
iv) A = {R, I, T, E, S, H}, B = {S, W, A, T, I}
v) A = {The Set of odd number}, B = {1, 3, 5, 7}
12) Find the following sets are Equivalent or Equal Sets or empty set or null set.
i) A = {a, b}, B = {x, y}
ii) A = {1, 2, 3}, B = {3, 2, 1}
iii) A = {The set of formula in algebra}, B = {a2 – b2 = (a+b) (a-b)}
iv) A = {list of month having 29 days in 2025}
v) Z = {Planets having lives other than Earth}
Answer Key
1)
i) It is a set
A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
ii) It is a set
A = {-1, -2, -3 ……}
iii) It is a set
A= {Mumbai, Kolkata, Bengaluru…….28 states capitals}
iv) It is a set
A = {Hamlet, Twelfth Night, Macbeth ……..}
v) It is a set
A = {s, m, a, l}
vi) It is not a set
This is because the given collection is not well defined. People may differ on the stories are good or bad.
vii) It is a set
A = {Khushi, Ritesh, Swati, Rama……}
viii) It is not a set
This is because the given collection is not well defined. People may differ on questions are difficult or easy.
ix) It is set
A = {compass, Pencil, Eraser, Scale …..}
x) It is a set
A = . {2/3, ½, 4/5 ……}
2.)
i) Set:- The collection of distinct and well defined object is called set.
ii) Sets are three types. They are i) Finite Sets ii) Infinite Sets and iii) Empty Sets.
iii) ∈ symbol denotes ‘belongs to’.
3)
i) True
ii) False
iii) False
iv) True
v) False
vi) True
vii) False
viii) True
ix) True
x) False
4)
i) ∉
ii) ∈
iii) ∈
iv) ∈
v) ∉
vi) ∉
vii) ∉
viii) ∈
ix) ∈
x) ∈
5) No. ii, vii, viii, x are set, This is because their objects are distinct and well defined.
No. i, iii, iv, v, vi, vii, ix are not set, This is because their objects are not distinct and well defined.
6)
i) A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
ii) A = {5 and 7, 2 and 3}
iii) A = {Panipoori, Momo, Eggroll}
iv) A = {Tuesday, Thursday}
v) A = {1, 3, 5, 7, 9}
vi) A = {-4, -2, 0, 2, 4, 6, 8}
vii) A = {January, February, March, ……..}
viii) A = {Ganga, Yamuna, Brahmapurta, Narmada, Tapi}
ix) A = {Violet, Indigo, Blue, Green, Yellow, Orange, Red}
x) A = {Hydrochloric Acid, Sulphuric Acid, Nitric Acid}
7)
i) A = The set of counting number
ii) B = The set of multiples of 2 less than 11
iii) C = The set of protein rich food
iv) D = The set of four sports name.
v) E = The set of chapters in Physics.
8)
i) A = {January, March, May, July, August, October, December}
ii) B = {A, E, I, O, U}
iii) C = {9, 18, 27, 36, 45}
iv) D = {m, u, b, a, i}
v) E = {Mumbai, Pune, Delhi, Ahmedabad, Surat, Chennai, Kolkata, Bangalore, and Hyderabad}
9)
i) Yes, Empty set
This is because there is no natural number less than 1
ii) No
Co-prime numbers are the number that do not have common factor other than 1. Here 4 and 6 both have common factor other than 1.
iii) Yes
Positive prime number less than 5 is 2 & 3.
iv) No
v) No
97, 98, 99
10)
i) ✓
ii) X
iii) X
iv) X
v) X
11)
i) Equal sets
This is because, each element of Set A is also the element of Set B.
ii) Equal sets
Each element of Set A is also the element of Set B.
iii) No
Each element of Set A is not the element of Set B.
A = {June and July}, B = {September}
iv) No
Each element of Set A is not the element of Set B.
v) Equal Sets
This is because; each element of Set A is also the element of Set B.
12)
i) Equivalent set
ii) Equal set
iii) Equal set (subset and superset)
iv) Null Set (2025 is not a leaf year)
v) Null Set.