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Algebra

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

Expansions

Subtopic

Expansions under Algebra for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Expand (x−y+1)2(x - y + 1)^2.

    A.

    x2+y2+1−2xy−2y+2xx^2 + y^2 + 1 - 2xy - 2y + 2x

    B.

    x2+y2+1+2xy−2y−2xx^2 + y^2 + 1 + 2xy - 2y - 2x

    C.

    x2−y2+1−2xy−2y+2xx^2 - y^2 + 1 - 2xy - 2y + 2x

    D.

    x2+y2+1−2xy+2y−2xx^2 + y^2 + 1 - 2xy + 2y - 2x

  2. 2.

    Find the expansion of (a+2a)2(a + \frac{2}{a})^2.

    A.

    a2+4a2+4a^2 + \frac{4}{a^2} + 4

    B.

    a2+4a2+2a^2 + \frac{4}{a^2} + 2

    C.

    a2+4a2a^2 + \frac{4}{a^2}

    D.

    a2+2a2+4a^2 + \frac{2}{a^2} + 4

  3. 3.

    What is the expansion of (x+9)2(x + 9)^2?

    A.

    x2+81x^2 + 81

    B.

    x2+18x+81x^2 + 18x + 81

    C.

    x2+9x+81x^2 + 9x + 81

    D.

    x2+18x+18x^2 + 18x + 18

Download the worksheet for Algebra - Expansions to practice offline. It includes additional chapter-level practice questions.

Factorisation

Subtopic

Factorisation under Algebra for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorize by common binomial: a(b−c)−d(b−c)a(b - c) - d(b - c)

    A.

    (b−c)(a+d)(b - c)(a + d)

    B.

    (b+c)(a−d)(b + c)(a - d)

    C.

    (b−c)(a−d)(b - c)(a - d)

    D.

    (a−b)(c−d)(a - b)(c - d)

  2. 2.

    Factorize the trinomial: x2+12x+35x^2 + 12x + 35

    A.

    (x+7)(x+5)(x + 7)(x + 5)

    B.

    (x−7)(x−5)(x - 7)(x - 5)

    C.

    (x+35)(x+1)(x + 35)(x + 1)

    D.

    (x+6)(x+6)(x + 6)(x + 6)

  3. 3.

    Factorize: y2−18y+81y^2 - 18y + 81

    A.

    (y+9)2(y + 9)^2

    B.

    (y−9)2(y - 9)^2

    C.

    (y−9)(y+9)(y - 9)(y + 9)

    D.

    (y−81)(y−1)(y - 81)(y - 1)

Download the worksheet for Algebra - Factorisation to practice offline. It includes additional chapter-level practice questions.

Simultaneous Linear Equations in Two Variables

Subtopic

Simultaneous Linear Equations in Two Variables under Algebra for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The sum of two numbers is 18 and one number is twice the other. What are the numbers?

    A.

    (12, 6)

    B.

    (10, 8)

    C.

    (14, 4)

    D.

    (9, 9)

  2. 2.

    In the system 5x+2y=165x + 2y = 16, if y=3y = 3, find the value of xx.

    A.

    1

    B.

    2

    C.

    3

    D.

    4

  3. 3.

    Express xx in terms of yy using the equation x−2y=5x - 2y = 5.

    A.

    x=5−2yx = 5 - 2y

    B.

    x=2y−5x = 2y - 5

    C.

    x=5+2yx = 5 + 2y

    D.

    x=y+52x = \frac{y+5}{2}

Download the worksheet for Algebra - Simultaneous Linear Equations in Two Variables to practice offline. It includes additional chapter-level practice questions.

Indices (Exponents)

Subtopic

Indices (Exponents) under Algebra for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate 23+22+212^3 + 2^2 + 2^1.

    A.

    12

    B.

    16

    C.

    14

    D.

    32

  2. 2.

    If 10x=0.110^x = 0.1, find xx.

    A.

    1

    B.

    0

    C.

    −1-1

    D.

    −2-2

  3. 3.

    Find the value of (2764)13(\frac{27}{64})^{\frac{1}{3}}.

    A.

    916\frac{9}{16}

    B.

    38\frac{3}{8}

    C.

    34\frac{3}{4}

    D.

    23\frac{2}{3}

Download the worksheet for Algebra - Indices (Exponents) to practice offline. It includes additional chapter-level practice questions.

Logarithms

Subtopic

Logarithms under Algebra for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the value of log⁡21\log_2 1?

    A.

    0

    B.

    1

    C.

    2

    D.

    0.5

  2. 2.

    Calculate the value of log⁡10+log⁡100\log 10 + \log 100.

    A.

    110

    B.

    1

    C.

    2

    D.

    3

  3. 3.

    Evaluate log⁡255\log_{25} 5.

    A.

    5

    B.

    2

    C.

    0.5

    D.

    1

Download the worksheet for Algebra - Logarithms to practice offline. It includes additional chapter-level practice questions.