krit.club logo

Rational and Irrational Numbers

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

Representation on the number line

Subtopic

Representation on the number line under Rational and Irrational Numbers for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    On a number line, if point A is at −2-2 and point B is at 22, what is the midpoint of AB?

    A.

    00

    B.

    11

    C.

    −1-1

    D.

    22

  2. 2.

    Which of these numbers is represented by the same point as 0.50.5 on the number line?

    A.

    12\frac{1}{2}

    B.

    21\frac{2}{1}

    C.

    5.05.0

    D.

    0.050.05

  3. 3.

    The point representing 12+14\frac{1}{2} + \frac{1}{4} on the number line is:

    A.

    0.50.5

    B.

    0.250.25

    C.

    0.750.75

    D.

    11

Download the worksheet for Rational and Irrational Numbers - Representation on the number line to practice offline. It includes additional chapter-level practice questions.

Properties of rational and irrational numbers

Subtopic

Properties of rational and irrational numbers under Rational and Irrational Numbers for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following is an irrational number between 11 and 22?

    A.

    1.51.5

    B.

    1.732...1.732... (non-terminating non-recurring)

    C.

    1.333...1.333...

    D.

    1.91.9

  2. 2.

    The decimal 0.50.5 is a rational number. Its p/qp/q form is:

    A.

    1/21/2

    B.

    5/105/10

    C.

    Both A and B

    D.

    5/15/1

  3. 3.

    The multiplicative inverse of −5-5 is:

    A.

    55

    B.

    1/51/5

    C.

    −1/5-1/5

    D.

    00

Download the worksheet for Rational and Irrational Numbers - Properties of rational and irrational numbers to practice offline. It includes additional chapter-level practice questions.

Surds and rationalization

Subtopic

Surds and rationalization under Rational and Irrational Numbers for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The simplified form of 128\sqrt{128} is:

    A.

    64264\sqrt{2}

    B.

    828\sqrt{2}

    C.

    484\sqrt{8}

    D.

    2642\sqrt{64}

  2. 2.

    What is the simplest rationalizing factor of 32\sqrt{32}?

    A.

    32\sqrt{32}

    B.

    2\sqrt{2}

    C.

    8\sqrt{8}

    D.

    4\sqrt{4}

  3. 3.

    The value of 83×13\sqrt[3]{8} \times \sqrt[3]{1} is:

    A.

    8

    B.

    1

    C.

    2

    D.

    4

Download the worksheet for Rational and Irrational Numbers - Surds and rationalization to practice offline. It includes additional chapter-level practice questions.