Worksheet: Sets | Mathematics Class 6 ICSE PDF Download

Part A: Multiple Choice Questions 

Q1. Which of these is not a well-defined set?
(a) Set of all vowels in English
(b) Set of months that start with “J”
(c) Set of the tallest students in your school
(d) Set of prime numbers less than 20

Q2. The roster form of the set “letters in the word APPLE” is:
(a) {A, P, P, L, E}
(b) {A, P, L, E}
(c) {A, A, P, L, E}
(d) {P, L, E}

Q3. The cardinality (number of elements) of S = {0, 2, 4, 6, 8, 10} is:
(a) 5
(b) 6
(c) 10
(d) 0

Q4. Which set is an empty set?
(a) {x | x is a whole number less than 3}
(b) {x | x is an odd multiple of 2}
(c) {x | x is a day of the week}
(d) {x | x is a factor of 12}

Q5. Which set is infinite?

(a) {x | x is a month of a year}
(b) {x | x is a factor of 30}
(c) {x | x is a natural number greater than 0}
(d) {x | x is a prime number ≤ 19}

Part B: Short Answer Questions 

Q6. Write the set of distinct letters in GEOGRAPHY in roster form. Also find its cardinality.

Q7. Write B = {3, 6, 9, 12} in set-builder form.

Q8. Write C = {x | x is an integer from −2 to 2} in roster form.

Q9. Say whether each set is finite or infinite.
(i) D = {x | x is a whole number ≤ 50}
(ii) E = {x | x is a natural number}

Q10. Let X = {2, 5, 8}. Make a new set Y by the rule y = x + 1 for each x in X. Write Y in roster and set-builder form.

Part C: Long Answer Questions (3)

Q11. Let A be the set of months with 30 days.

(i) Write A in roster form.
(ii) Write A in set-builder form.
(iii) Find n(A).

Q12. Let P = {1, 3, 5, 7, 9} and Q = {x | x is an even natural number less than 12}.
(i) Write Q in roster form.
(ii) Find n(P) and n(Q).
(iii) Fill with ∈ or ∉: 
(a) 6 __ P 
(b) 4 __ Q
(c) 9 __ Q
(d) 0 __ Q

Q13. Let M = {2, 4, 6, 8, 10} and N = {3, 6, 9, 12}.
(i) Write the elements common to both sets M and N.
(ii) What is the cardinality of this common set?
(iii) Are M and N finite or infinite sets?

You can access the solutions of this worksheet here