TYPES OF SET WORKSHEET
About "Types of Sets Worksheet"
Types of Sets Worksheet :
Here we are going to see some practice questions based on the concept types of set.
Types of Sets Worksheet - Practice Problems
(1) Find the cardinal number of the following sets.
(i) M = {p, q, r, s, t, u}
(ii) P = {x : x = 3n + 2, n∈W and x < 15}
(iii) Q = { y : y = 4/3n, n ∈ N and 2 < n ≤ 5}
(iv) R = {x : x is an integers, x ∈ Z and –5 ≤ x < 5}
(v) S = The set of all leap years between 1882 and 1906.
(2) Identify the following sets as finite or infinite.
(i) X = The set of all districts in Tamilnadu.
(ii) Y = The set of all straight lines passing through a point.
(iii) A = { x : x ∈ Z and x < 5}
(iv) B = {x : x2–5x+6 = 0, x ∈N}
(3) Which of the following sets are equivalent or unequal or equal sets?
(i) A = The set of vowels in the English alphabets.
B = The set of all letters in the word “VOWEL”
(ii) C = {2, 3, 4, 5}
D = { x : x ∈ W, 1 < x < 5}
(iii) E = The set of A={ x : x is a letter in the word “LIFE”}
F = {F, I, L, E}
(iv) G = {x : x is a prime number and 3 < x < 23}
H = {x : x is a divisor of 18
(4) Identify the following sets as null set or singleton set.
(i) A = {x : x ∈N, 1 < x < 2}
(ii) B = The set of all even natural numbers which are not divisible by 2
(iii) C = {0}.
(iv) D = The set of all triangles having four sides.
(5) State which pairs of sets are disjoint or overlapping?
(i) A = {f, i, a, s} and B={a, n, f, h, s}
(ii) C = {x : x is a prime number, x >2} and D ={x:x is an even prime number}
(iii) E = {x : x is a factor of 24} and F={x : x is a multiple of 3, x < 30} Solution
(6) If S = {square, rectangle, circle, rhombus, triangle}, list the elements of the following subset of S.
(i) The set of shapes which have 4 equal sides.
(ii) The set of shapes which have no sides.
(iii) The set of shapes in which the sum of all interior angles is 180o
(iv) The set of shapes which have 5 sides.
(7) If A = {a, {a, b}}, write all the subsets of A.
(8) Write down the power set of the following sets.
(i) A = {a, b}
(ii) B = {1, 2, 3}
(iii) D = {p, q, r, s}
(iv) E = ∅ Solution
(9) Find the number of subsets and the number of proper subsets of the following sets.
(i) W = {red, blue, yellow}
(ii) X = { x2 : x ∈ N, x2 ≤ 100} Solution
(10) (i) If n(A) = 4, find n [P(A)].
(ii) If n(A) = 0, find n [P(A)].
(iii) If n[P(A)] = 256, find n(A). Solution
After having gone through the stuff given above, we hope that the students would have understood, "Types of Sets Worksheet".
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
