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Algebra

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

Algebraic Manipulation and Factorisation

Subtopic

Algebraic Manipulation and Factorisation under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify the expression: 2(x+4)−x2(x + 4) - x

    A.

    x+4x + 4

    B.

    x+8x + 8

    C.

    3x+83x + 8

    D.

    2x+82x + 8

  2. 2.

    Factorise completely: 6m2−2m6m^2 - 2m

    A.

    2m(3m−1)2m(3m - 1)

    B.

    2(3m2−m)2(3m^2 - m)

    C.

    m(6m−2)m(6m - 2)

    D.

    2m(3m−2)2m(3m - 2)

  3. 3.

    Expand the expression: 5(2a−3b)5(2a - 3b)

    A.

    10a−15b10a - 15b

    B.

    10a−3b10a - 3b

    C.

    7a−8b7a - 8b

    D.

    10a+15b10a + 15b

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

Linear and Quadratic Equations

Subtopic

Linear and Quadratic Equations under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find xx if 3x2=9\frac{3x}{2} = 9.

    A.

    x=6x = 6

    B.

    x=3x = 3

    C.

    x=13.5x = 13.5

    D.

    x=12x = 12

  2. 2.

    Solve x(x+1)=0x(x + 1) = 0.

    A.

    x=0x = 0 or x=1x = 1

    B.

    x=1x = 1

    C.

    x=−1x = -1

    D.

    x=0x = 0 or x=−1x = -1

  3. 3.

    Solve the equation x2=4x^2 = 4.

    A.

    x=2x = 2

    B.

    x=±4x = \pm 4

    C.

    x=±2x = \pm 2

    D.

    x=16x = 16

Download the worksheet for Algebra - Linear and Quadratic Equations to practice offline. It includes additional chapter-level practice questions.

Simultaneous Equations

Subtopic

Simultaneous Equations under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve for xx and yy: y=x+4y = x + 4 and 2x+y=102x + y = 10.

    A.

    x=3,y=7x = 3, y = 7

    B.

    x=1,y=5x = 1, y = 5

    C.

    x=4,y=8x = 4, y = 8

    D.

    x=2,y=6x = 2, y = 6

  2. 2.

    If 2x+2y=102x + 2y = 10 and x=3x = 3, find yy.

    A.

    y=1y = 1

    B.

    y=3y = 3

    C.

    y=2y = 2

    D.

    y=4y = 4

  3. 3.

    Find xx and yy such that x−y=7x - y = 7 and x+y=13x + y = 13.

    A.

    x=9,y=4x = 9, y = 4

    B.

    x=10,y=3x = 10, y = 3

    C.

    x=11,y=2x = 11, y = 2

    D.

    x=12,y=1x = 12, y = 1

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

Linear Inequalities

Subtopic

Linear Inequalities under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve the inequality: x−5>−2x+4x - 5 > -2x + 4.

    A.

    x<3x < 3

    B.

    x>3x > 3

    C.

    x>−1x > -1

    D.

    x<−1x < -1

  2. 2.

    Solve the inequality: 3(x+4)≥183(x + 4) \geq 18.

    A.

    x≥2x \geq 2

    B.

    x≤2x \leq 2

    C.

    x≥10x \geq 10

    D.

    x≤10x \leq 10

  3. 3.

    Find the solution to: 4x≤2x+104x \leq 2x + 10.

    A.

    x≥5x \geq 5

    B.

    x≤2.5x \leq 2.5

    C.

    x≥2.5x \geq 2.5

    D.

    x≤5x \leq 5

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

Sequences (Arithmetic and Geometric)

Subtopic

Sequences (Arithmetic and Geometric) under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the next term in the arithmetic sequence: −15,−10,−5,0,…-15, -10, -5, 0, \dots?

    A.

    0

    B.

    5

    C.

    10

    D.

    15

  2. 2.

    Find the common ratio (rr) for: 2,−2,2,−2,…2, -2, 2, -2, \dots

    A.

    1

    B.

    -1

    C.

    0

    D.

    2

  3. 3.

    What is the nthn^{\text{th}} term formula for the sequence: 2,4,6,8,…2, 4, 6, 8, \dots?

    A.

    un=n+2u_n = n + 2

    B.

    un=2nu_n = 2n

    C.

    un=n2u_n = n^2

    D.

    un=2n+2u_n = 2n + 2

Download the worksheet for Algebra - Sequences (Arithmetic and Geometric) to practice offline. It includes additional chapter-level practice questions.

Functions and Composite Functions

Subtopic

Functions and Composite Functions under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If g(x)=x+5g(x) = x + 5, find the value of the composite function g(g(g(1)))g(g(g(1))).

    A.

    11

    B.

    6

    C.

    15

    D.

    16

  2. 2.

    For the function f(x)=x10f(x) = \frac{x}{10}, find f(100)f(100).

    A.

    1000

    B.

    10

    C.

    1

    D.

    0.1

  3. 3.

    If h(x)=4−xh(x) = 4 - x, find the value of h(h(3))h(h(3)).

    A.

    1

    B.

    3

    C.

    0

    D.

    4

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

Algebraic Fractions

Subtopic

Algebraic Fractions under Algebra for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify x+15÷x+110\frac{x+1}{5} \div \frac{x+1}{10}.

    A.

    12\frac{1}{2}

    B.

    22

    C.

    (x+1)250\frac{(x+1)^2}{50}

    D.

    5050

  2. 2.

    Work out p4×8p\frac{p}{4} \times \frac{8}{p} and give the simplest form.

    A.

    8p4p\frac{8p}{4p}

    B.

    22

    C.

    12\frac{1}{2}

    D.

    3232

  3. 3.

    Simplify 10n−5n\frac{10}{n} - \frac{5}{n}.

    A.

    5n\frac{5}{n}

    B.

    15n\frac{15}{n}

    C.

    50\frac{5}{0}

    D.

    55

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