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Sets Class 7 Math Worksheet – 30 Marks
Sets
(1) Write the following sets in the set builder form. [6 × 1] = 6
(i) M = {1, 2, 3, 4, 5,}
(ii) N = {3, 5, 7, 9}
(iii) B = set of even numbers between 2 and 20
(iv) T = set of colors in the rainbow
(v) P = set of all integers
(vi) Q = set of whole number
(2) If P = set of Prime numbers and C = set of Composite numbers, then find P ∪ C and P ∩ C [1 × 2] = 2
(3) If X = {1, 2, 3, …, 20}, M = {1, 3, 5, … ,19} and N = {2, 4, 6, … ,20}, then prove that: [4 × 1] = 4
(i) N’ = M
(ii) M’ = N
(iii) M \ N = M
(iv) N \ M = N
(4) If P = set of natural numbers and Q = set of prime numbers, then find the complement of set Q. [1 × 2] = 2
(5) If X = {a, e, I, o, u}, Y = {a, b, c,} and Z = {a, c, e, g}, then verify that : [4 × 1] = 4
(i) P ∩ Q = Q ∩ P
(ii) P ∪ Q = Q ∪ P
(iii) P ∪ R = R ∪ Q
(iv) Q ∩ R = R ∩ Q
(6) Look at each pair of sets to separate the disjoint and overlapping sets. [4 × 1] = 4
(i) M = {a, b, c, d, e}
(ii) A = (4, 8, 10, 12}
(iii) L = Set of Composite numbers
(iv) B = Set of Even numbers
(7) If U = {0, 1, 2,…., 15}, L = {3, 5, 7,….,15}, and M = {4, 6, 8, 10, 12}, then verify the identity properties with respect to union and intersection of sets. [1 × 2] = 2
(8) If P = {3, 4, 5, 6} and Q = {2, 4, 6}, then verify that: [1 × 2] = 2
(i) P ∪ Q = Q ∪ P
(ii) P ∩ O = O ∩ P
(9) If M = {2, 3, 4, 5} and N = {1, 3, 5, 7}, then find: [1 × 2] = 2
(i) M – N
(ii) N – M
(10) If U = {a, b, c, d, e}, P = {a, b, c} and Q = {b, d, e}, then show through Venn diagram [4 × 1] = 4
(i) P’
(ii) Q’
(iii) P ∪ Q
(iv) p ∩ Q
(i) Name three forms for describing a set.
(ii) What is meant by disjoint sets?
(iii) Write the name of the set consisting of all the elements of given sets under consideration. [3 × 1] = 3
Pretty good test. I liked it