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Sets

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Introduction to Sets: Definition, Roster Form, Set-Builder Form

Subtopic

Introduction to Sets: Definition, Roster Form, Set-Builder Form under Sets for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If X={x:x∈N,x2=9}X = \{x : x \in N, x^2 = 9\}, the roster form is:

    A.

    {3,−3}\{3, -3\}

    B.

    {9}\{9\}

    C.

    {3}\{3\}

    D.

    {1,9}\{1, 9\}

  2. 2.

    What is the roster form for the set of digits in the year 2000?

    A.

    {2,0,0,0}\{2, 0, 0, 0\}

    B.

    {2,0}\{2, 0\}

    C.

    {2}\{2\}

    D.

    {0}\{0\}

  3. 3.

    Which of the following is a well-defined set of natural numbers?

    A.

    {x:x is a very large number}\{x : x \text{ is a very large number}\}

    B.

    {x:x∈N,x<100}\{x : x \in N, x < 100\}

    C.

    {x:x is a popular number}\{x : x \text{ is a popular number}\}

    D.

    {x:x is an easy number to multiply}\{x : x \text{ is an easy number to multiply}\}

Download the worksheet for Sets - Introduction to Sets: Definition, Roster Form, Set-Builder Form to practice offline. It includes additional chapter-level practice questions.

Types of Sets: Finite, Infinite, Empty, Singleton

Subtopic

Types of Sets: Finite, Infinite, Empty, Singleton under Sets for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The set of all schools in a city is a:

    A.

    Infinite set

    B.

    Finite set

    C.

    Empty set

    D.

    Singleton set

  2. 2.

    The set of all even numbers that are also prime is a:

    A.

    Singleton set

    B.

    Empty set

    C.

    Infinite set

    D.

    Finite set with 3 elements

  3. 3.

    Identify the set R={2,3,5,7,11,… }R = \{2, 3, 5, 7, 11, \dots\}:

    A.

    Finite set

    B.

    Singleton set

    C.

    Infinite set

    D.

    Empty set

Download the worksheet for Sets - Types of Sets: Finite, Infinite, Empty, Singleton to practice offline. It includes additional chapter-level practice questions.

Cardinal Number of a Set

Subtopic

Cardinal Number of a Set under Sets for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the cardinal number of the set {1,3,5,7,9,11,13}\{1, 3, 5, 7, 9, 11, 13\}?

    A.

    5

    B.

    6

    C.

    7

    D.

    8

  2. 2.

    Find the cardinal number of the set of prime numbers less than 5.

    A.

    1

    B.

    3

    C.

    2

    D.

    4

  3. 3.

    What is n(A)n(A) if AA is the set of even digits in the number 24682468?

    A.

    2

    B.

    3

    C.

    4

    D.

    5

Download the worksheet for Sets - Cardinal Number of a Set to practice offline. It includes additional chapter-level practice questions.

Operations on Sets: Union and Intersection (using Venn diagrams)

Subtopic

Operations on Sets: Union and Intersection (using Venn diagrams) under Sets for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If n(A∩B)=0n(A \cap B) = 0, then n(A∪B)n(A \cup B) is equal to:

    A.

    n(A)×n(B)n(A) \times n(B)

    B.

    n(A)−n(B)n(A) - n(B)

    C.

    n(A)+n(B)n(A) + n(B)

    D.

    0

  2. 2.

    Let XX be the set of vowels in 'HELLO' and YY be the set of vowels in 'WORLD'. Find X∪YX \cup Y.

    A.

    {E,O}\{E, O\}

    B.

    {O}\{O\}

    C.

    {E}\{E\}

    D.

    {H,L,W,R,D}\{H, L, W, R, D\}

  3. 3.

    If A={even numbers}A = \{\text{even numbers}\} and B={2,4,6}B = \{2, 4, 6\}, find A∩BA \cap B.

    A.

    {2,4,6}\{2, 4, 6\}

    B.

    {even numbers}\{\text{even numbers}\}

    C.

    ∅\emptyset

    D.

    {1,3,5}\{1, 3, 5\}

Download the worksheet for Sets - Operations on Sets: Union and Intersection (using Venn diagrams) to practice offline. It includes additional chapter-level practice questions.