Sets Class 7 ICSE Worksheets

# Sets Class 7 ICSE Worksheets

## Sets Class 7 ICSE Worksheets

Sets Class 7 ICSE Worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of Sets Class 7 ICSE Worksheets is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Sets Class 7 ICSE Worksheets. Parents and teachers can also assess the students by giving them these Sets Class 7 ICSE Worksheets to solve.

Maths-formula brings such worksheets on Sets Class 7 ICSE for you. By solving these worksheets, you can increase the understanding of the concepts learnt. These Sets Class 7 ICSE Worksheets are prepared by experienced teachers and subject matter experts. If you can solve the 90% of the questions correctly, it means your preparation is very good.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these questions to the students to test them. Unit tests can also be prepared by the teachers using these Sets Class 7 ICSE Worksheets.

## Sets Class 7 ICSE Worksheet 1

1. State whether each of the following pairs of sets are equivalent, equal or overlapping sets.

a. A = {x: x Ñ” Z , 2 ≤ x ≤ 2} and B = {x : x is the letter of the word PLATE}

b. C = {x : x Ñ” N and x is a multiple of 3} and D = {x : x Ñ” N and x is a multiple of 2}

c. A = {1, 2, 3, 4} and B = {2, 3, 5, 7, 11}

d. E = {x : x is a letter of the word WHITE} and F = {e, t, h, w, i}

e. A = {x is a multiple of 2 less than 10} and B = {2, 4, 6, 8}

f. A = {p, o, c, k, e, t} and B = {l, o, c, k, e, t}

2. Fill in the blanks.

a. A = {x : x is a letter of the word ASSASSINATION} written in roster form is ___________.

b. B = {the letters of the word CARROT} and C = {the letters of the word COAT} are two ___________ sets.

c. If A = {5, 10, 15, 20, 25} and B = {5, 15, 25}, B is a ___________ of A.

d. If E = {x : x is a letter of the word INDIA}, F = {x : x is a letter of the word DIANA}, then E and F are two ___________ sets.

e. If G = {x : x is a prime number and x < 1}, then G is a/an ___________ set.

3. State whether the following statements are true or false.

a. A set and the complement of a set are two overlapping sets.

b. A = {x: −5 < x < −2, x Ñ” Z}, then n(A) = 6.

c. A = {triangles}, B = {scalene triangles}, then B A.

d. If A and B are two sets such that A is a subset of B and A  B, then A is said to be a proper subset of B.

4. Let P = set of all triangles, Q = set of scalene triangles, R = set of isosceles triangles, S = set of equilateral triangles. State which of the following are true.

a. S R     b. Q P

c. P S     d. R P

e. R

5. Write the following sets in the roster form.

a. A = {x : x is the letters of the word CONSTANTINOPLE}.

b. B = {x : x = 2n, n Ñ” N, n ≤ 7}.

c. C = {x : x is a prime number, 5 < x < 17}.

d. D = {x : x are different types of triangles}.

e. E = {x : x = 2n – 1, n Ñ” W, n ≤ 6}.

6. If P = {2, 3, 4, 5}, then write down all the subsets of P.

7. Choose the correct option.

a. P = {x : x is an even prime number} is a/an

i. infinite set

ii. singleton set

iii. finite set

iv. null set

b. A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5, 6}, then A and B are

i. overlapping sets

ii. disjoint sets

iii. equal sets

iv. equivalent sets

c. If A = {a, b, c, d, e} and B = {letters of the word BEAD}, then

i. B = A

ii. B A

iii. n(B) = n(A)

iv. disjoint set

d. Î¾ = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, then A′ is

i. {5, 6, 7, 8}

ii. {1, 2, 3, 4}

iii. {1, 3, 5, 7}

iv. {4, 6, 7}

8. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8, 10}, then find A′.

9. Identify the following as finite, infinite, empty or singleton set.

a. A = {1, 2, 3, 4, 5, 6}

b. B = {x : x is a vowel in the word BOOK}

c. C = {x : x is an even integer}

d. D = {x : x is an even prime number greater than 2}

## Sets Class 7 ICSE Worksheet 2

1. Fill in the blanks.

a. If A = {x : x ≤ 6, x is an even whole number}, then A in roster form is ___________.

b. A is the set of the letters of the word MISSISSIPPI, then n(A) = ___________.

c. All equal sets are equivalent set but all equivalent sets are not ___________.

d. If Î¾ is the universal set and Q is the null set, then Q′ is equal to ___________.

2. Given Î¾ = {1, 3, 4, 7, 9, 13, 14, 15, 17, 18, 27},

A = { x: x Ñ” Î¾, x  is an odd number},

B = { x: x Ñ” Î¾, x is a prime number},

C = { x: x Ñ” Î¾, x is a multiple of 3} and

D = { x; x Ñ” Î¾, x is a multiple of 7}

a. List the elements of the following subsets of X.

i. A            ii. B

iii. C         iv. D

v. C′

vi. elements common to A and B

vii. elements common to B and C

b. Write down the cardinal number of each of the sets A, B, C and D.

c. Write down the pairs of overlapping sets.

3. Match the following with the correct answer.

a. B = {2, 3, 5, 7, 11, 13}, C = {a, b, c, d, e, f },

then B and C are two                                 i. {violet, indigo, blue, green, yellow, orange, red}

b. D = {x : x is the measure of the angles

of an isosceles right-angled triangle}             ii. {E, X, M, I, N, A, T, O}

c. E = {x : x is a colour of the rainbow}         iii. Equivalent sets

d. F = {x : letters of the word EXAMINATION} written is roster form is                                                                                                  iv. {90°, 45°}

4. State true or false.

a. The collection of interesting stories in a school library forms a set.

b. The collection of types of quadrilaterals forms a set.

c. Equivalent sets are always equal.

d. n(A) of a null set is equal to zero.

e. If U = {–2, –1, 0, 1, 2, 3} and B = {1, 2, 3}, then B′ = {–2, –1, 0}.

5. Write the following sets in set builder form.

a. {2, 3, 5, 7, 11}

b. {7, 14, 21, 28, 35, 42, 49}

c. {a, e, i, o, u}

d. {p, e, n, c, i, l}

e. {January, June, July}

6. Find the number of subsets of each of the following sets.

a. A = {10, 12, 14, 16, 18}

b. B = {x is a prime number between 10 and 20}.

7. List the proper subsets of set A where A = {x is a letter of the word TEST}.

8. Choose the correct option.

a. A = {1, 2, 3, 4, 5} is a

i. finite set

ii. infinite set

iii. empty set

iv. singleton set

b. Cardinal number of B = {x: x ≤ 15, x Ñ” W} is

i. 0

ii. 15

iii. 16

iv. 14

c. P = {x : x is a day of a week starting with the letter A} is a/an

i. singleton set

ii. finite set

iii. null set

iv. infinite set

d. If A = {x : x is the letter of the word TEACHER} and B = {t, e, a, c, h, r}, then the two sets are

i. equal

ii. equivalent

iii. overlapping

iv. disjoint

9. If A = {x : x Ñ” W, x ≤ 12}, B = {x: x Ñ” N, 5 ≤  x ≤ 20} and C = { x: x  N, x is a multiple of 7 ≥  14}, identify the following:

a. Disjoint sets

b. n(A)

c. Elements common to A and B.

Crossword

Across

4. A well-defined collection of objects is known as ________.

5. A set having uncountable number of different elements is called a ________ set.

7. If the number of elements in a set are equal, they are said to be ________.

8. The complement of the universal set is ________ set.

9. A method of representing set in which all elements are listed and are separated by commas.

10. Two sets are said to be ________ if they have same elements.

Down

1. A non-empty set which does not contain all the elements of superset is known as ________ subset.

2. Two sets are ________ if they have no element in common.

3. A set having only one element.

6. A set which consists of all elements of different sets under considerations called the ________ set.

Worksheet 1

1. a. Equivalent set

b. Overlapping set

c. Overlapping set

d. Equal set

e. Equal set

f. Overlapping set

2. a. A = {A, S, I, N, T, O}

b. overlapping

c. subset

d. equal

e. empty

3. a. False      b. False

c. True       d. True

4. a. False      b. True

c. False      d. True

e. False

5. a. A = {C, O, N, S, T, A, I, P, L, E}

b. B = {2, 4, 6, 8, 10, 12, 14}

c. C = {7, 11, 13}

d. D = {Scalene, Isosceles, Equilateral, Acute-angles, Obtuse-angled, Right-angled}

e. E = {-1, 1, 3, 5, 7, 9, 11}

6. Subsets of P = {}, {2}, {3}, {4}, {5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 5}, {4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}, {2, 3, 4, 5}

7. a. ii        b. i

c. ii        d. iii

8. A’ = {1, 3, 5, 7, 9}

9. a. Finite set

b. Singleton set

c. Infinite set

d. Empty set

Worksheet 2

1. a. A = {2, 4, 6}      b. 4

c. equal        d. Î¾

2. a. i. {1, 3, 7, 9, 13, 15, 17, 27}

ii. {3, 7, 13, 17}

iii. {3, 9, 15, 18, 27}

iv. {7, 14}

v. {1, 4, 7, 13, 14, 17, 27}

vi. {3, 7, 13, 17}

vii. {3}

b. n(A) = 8; n(B) = 4; n(C) = 5; n(D) = 2

c. (A, B); (B, C); (A, C); (A, D); (B, D)

3. a. iii      b. iv       c. i       d. ii

4. a. False       b. True

c. False       d. True

e. True

5. a. {x: x is a prime number less than 12}

b. {x: x = 7n; n Ñ” N; n ≤ 7}

c. {x: x is a vowel of English alphabet}

d. {x: x is a letter of the word PENCIL}

e. {x: x is a month of the year starting with letter J}

6. a. 25 = 32         b. 24 = 16

7. {}; {T}; {E}; {S}; {T, E}; {E, S}; {T, S}; {T, E, S}

8. a. i         b. iii

c. iii       d. i

9. a. A and C

b. n(A) = 13

c. {5, 6, 7, 8, 9, 10, 11, 12}

Crossword

Across: 4. Set                5. Infinite

7. Equivalent    8. Empty

9. Venn             10. Roster

Down: 1. Proper          2. Disjoint

3. Singleton       6. Universal