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Number

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

Real number systems (rational and irrational numbers)

Subtopic

Real number systems (rational and irrational numbers) under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Determine the value of 400\sqrt{400}.

    A.

    2020

    B.

    4040

    C.

    200200

    D.

    44

  2. 2.

    What is the sum of 12\frac{1}{2} and 0.50.5?

    A.

    0.50.5

    B.

    0.750.75

    C.

    1.01.0

    D.

    1.251.25

  3. 3.

    The number 0.101101110...0.101101110... (where the number of 11s increases) is:

    A.

    Rational

    B.

    Terminating

    C.

    Irrational

    D.

    An integer

Download the worksheet for Number - Real number systems (rational and irrational numbers) to practice offline. It includes additional chapter-level practice questions.

Set theory and Venn diagrams

Subtopic

Set theory and Venn diagrams under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the complement of the universal set, U′U'?

    A.

    UU

    B.

    {0}\{0\}

    C.

    ∅\emptyset

    D.

    All real numbers

  2. 2.

    If A={1,2,3}A = \{1, 2, 3\} and B={1,2,3,4}B = \{1, 2, 3, 4\}, which of the following is the set B∖AB \setminus A (elements in BB not in AA)?

    A.

    {4}\{4\}

    B.

    {1,2,3}\{1, 2, 3\}

    C.

    {1,2,3,4}\{1, 2, 3, 4\}

    D.

    ∅\emptyset

  3. 3.

    What is the cardinality of the set Z={0}Z = \{0\}?

    A.

    0

    B.

    1

    C.

    ∅\emptyset

    D.

    Undefined

Download the worksheet for Number - Set theory and Venn diagrams to practice offline. It includes additional chapter-level practice questions.

Laws of exponents and radicals

Subtopic

Laws of exponents and radicals under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify the expression w4⋅w3w2\frac{w^4 \cdot w^3}{w^2}.

    A.

    w9w^9

    B.

    w5w^5

    C.

    w6w^6

    D.

    w1w^1

  2. 2.

    Evaluate the expression 3−13^{-1}.

    A.

    -3

    B.

    13\frac{1}{3}

    C.

    0.3

    D.

    -1.3

  3. 3.

    Write x45x^{\frac{4}{5}} in radical form.

    A.

    x54\sqrt[4]{x^5}

    B.

    x45\sqrt[5]{x^4}

    C.

    4x54\sqrt{x^5}

    D.

    5x45\sqrt{x^4}

Download the worksheet for Number - Laws of exponents and radicals to practice offline. It includes additional chapter-level practice questions.

Scientific notation (Standard Form)

Subtopic

Scientific notation (Standard Form) under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Write 0.03×10−20.03 \times 10^{-2} in standard form.

    A.

    3×10−43 \times 10^{-4}

    B.

    3×10−33 \times 10^{-3}

    C.

    3×10−53 \times 10^{-5}

    D.

    0.3×10−30.3 \times 10^{-3}

  2. 2.

    Express 400×10−5400 \times 10^{-5} in standard form.

    A.

    4×10−74 \times 10^{-7}

    B.

    4×10−34 \times 10^{-3}

    C.

    0.4×10−20.4 \times 10^{-2}

    D.

    4×10−44 \times 10^{-4}

  3. 3.

    Convert 0.5×1040.5 \times 10^4 to standard form.

    A.

    5×1035 \times 10^3

    B.

    5×1045 \times 10^4

    C.

    5×1055 \times 10^5

    D.

    0.5×1040.5 \times 10^4

Download the worksheet for Number - Scientific notation (Standard Form) to practice offline. It includes additional chapter-level practice questions.

Percentages, profit and loss, simple and compound interest

Subtopic

Percentages, profit and loss, simple and compound interest under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If the ratio of boys to girls in a class is 1:41:4, what percentage of the class are girls?

    A.

    25%25\%

    B.

    20%20\%

    C.

    80%80\%

    D.

    75%75\%

  2. 2.

    An amount of 600600 is invested at 4%4\% simple interest for 66 months. How much interest is earned?

    A.

    2424

    B.

    1212

    C.

    144144

    D.

    66

  3. 3.

    A pair of shoes costs 8080. The price is reduced by 20%20\% and then increased by 20%20\%. What is the final price?

    A.

    8080

    B.

    76.8076.80

    C.

    8484

    D.

    6464

Download the worksheet for Number - Percentages, profit and loss, simple and compound interest to practice offline. It includes additional chapter-level practice questions.

Ratio, proportion, and rates of change

Subtopic

Ratio, proportion, and rates of change under Number for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A hybrid car consumes fuel at a rate of 77 liters for every 100100 km driven. How many liters of fuel are required for a trip of 350350 km?

    A.

    21.521.5 liters

    B.

    24.524.5 liters

    C.

    17.517.5 liters

    D.

    2828 liters

  2. 2.

    The three sides of a triangle are in the ratio 2:3:42 : 3 : 4. If the total perimeter of the triangle is 5454 cm, find the length of the shortest side.

    A.

    66 cm

    B.

    1818 cm

    C.

    1212 cm

    D.

    2424 cm

  3. 3.

    An athlete is running at a constant speed of 1515 m/s. What is this speed converted into km/h?

    A.

    4.174.17 km/h

    B.

    4545 km/h

    C.

    6060 km/h

    D.

    5454 km/h$

Download the worksheet for Number - Ratio, proportion, and rates of change to practice offline. It includes additional chapter-level practice questions.