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Number

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

Types of Number and Set Notation

Subtopic

Types of Number and Set Notation under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following describes the set of all even integers?

    A.

    {x:x=2n,n∈Z}\{x : x = 2n, n \in \mathbb{Z}\}

    B.

    {x:x=n+2,n∈Z}\{x : x = n + 2, n \in \mathbb{Z}\}

    C.

    {x:x=2n+1,n∈Z}\{x : x = 2n + 1, n \in \mathbb{Z}\}

    D.

    {x:x=n2,n∈Z}\{x : x = n^2, n \in \mathbb{Z}\}

  2. 2.

    If A={2,4,6}A = \{2, 4, 6\} and B={4,6,8}B = \{4, 6, 8\}, what is A∩BA \cap B?

    A.

    {2,4,6,8}\{2, 4, 6, 8\}

    B.

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

    C.

    {2,8}\{2, 8\}

    D.

    {}\{\}

  3. 3.

    Which of these numbers is a terminating decimal?

    A.

    1/31/3

    B.

    2/32/3

    C.

    1/41/4

    D.

    1/71/7

Download the worksheet for Number - Types of Number and Set Notation to practice offline. It includes additional chapter-level practice questions.

Fractions, Decimals, and Percentages

Subtopic

Fractions, Decimals, and Percentages under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate 12÷14\frac{1}{2} \div \frac{1}{4}.

    A.

    18\frac{1}{8}

    B.

    12\frac{1}{2}

    C.

    22

    D.

    44

  2. 2.

    What is 50%50\% of 0.80.8?

    A.

    0.40.4

    B.

    0.040.04

    C.

    44

    D.

    0.580.58

  3. 3.

    Calculate 1.25×41.25 \times 4.

    A.

    4.254.25

    B.

    55

    C.

    66

    D.

    5.255.25

Download the worksheet for Number - Fractions, Decimals, and Percentages to practice offline. It includes additional chapter-level practice questions.

Ratio, Proportion, and Rate

Subtopic

Ratio, Proportion, and Rate under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If 55 notebooks cost $12.50\$12.50, how much will 88 notebooks cost at the same rate?

    A.

    $18.00\$18.00

    B.

    $22.50\$22.50

    C.

    $16.00\$16.00

    D.

    $20.00\$20.00

  2. 2.

    A car travels 240 km240\text{ km} at a constant speed for 33 hours. What is its average speed?

    A.

    60 km/h60\text{ km/h}

    B.

    70 km/h70\text{ km/h}

    C.

    80 km/h80\text{ km/h}

    D.

    90 km/h90\text{ km/h}

  3. 3.

    Simplify the ratio 450 ml:1.5 litres450\text{ ml} : 1.5\text{ litres} to its simplest form.

    A.

    3:103:10

    B.

    9:309:30

    C.

    3:13:1

    D.

    1:31:3

Download the worksheet for Number - Ratio, Proportion, and Rate to practice offline. It includes additional chapter-level practice questions.

Indices and Standard Form

Subtopic

Indices and Standard Form under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify: x2÷x−1x^2 \div x^{-1}.

    A.

    x1x^1

    B.

    x3x^3

    C.

    x−2x^{-2}

    D.

    x−1x^{-1}

  2. 2.

    Write 7,2007,200 in standard form.

    A.

    7.2×1027.2 \times 10^2

    B.

    72×10272 \times 10^2

    C.

    7.2×1037.2 \times 10^3

    D.

    0.72×1040.72 \times 10^4

  3. 3.

    Simplify: (102)3(10^2)^3.

    A.

    10510^5

    B.

    10610^6

    C.

    10810^8

    D.

    10001000

Download the worksheet for Number - Indices and Standard Form to practice offline. It includes additional chapter-level practice questions.

Surds

Subtopic

Surds under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Rationalize the denominator of 510\frac{5}{\sqrt{10}}.

    A.

    102\frac{\sqrt{10}}{2}

    B.

    12\frac{1}{2}

    C.

    10\sqrt{10}

    D.

    5102\frac{5\sqrt{10}}{2}

  2. 2.

    Calculate 20+5\sqrt{20} + \sqrt{5}.

    A.

    25\sqrt{25}

    B.

    55

    C.

    353\sqrt{5}

    D.

    252\sqrt{5}

  3. 3.

    Simplify 27−3\sqrt{27} - \sqrt{3}.

    A.

    232\sqrt{3}

    B.

    24\sqrt{24}

    C.

    333\sqrt{3}

    D.

    99

Download the worksheet for Number - Surds to practice offline. It includes additional chapter-level practice questions.

Time and Money Calculations

Subtopic

Time and Money Calculations under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A pack of 66 soft drinks costs $4.50\$4.50. How much would 1010 soft drinks cost at the same rate per drink?

    A.

    $7.00\$7.00

    B.

    $7.50\$7.50

    C.

    $6.50\$6.50

    D.

    $8.00\$8.00

  2. 2.

    Calculate the simple interest earned on $2,000\$2,000 invested at a rate of 3%3\% per year for 44 years.

    A.

    $240\$240

    B.

    $60\$60

    C.

    $2,240\$2,240

    D.

    $24\$24

  3. 3.

    The exchange rate between US Dollars (USDUSD) and Euros (EUREUR) is 1USD=0.92EUR1 USD = 0.92 EUR. How many Euros will you receive in exchange for 450USD450 USD?

    A.

    414.00 EUR

    B.

    489.13 EUR

    C.

    405.50 EUR

    D.

    418.20 EUR

Download the worksheet for Number - Time and Money Calculations to practice offline. It includes additional chapter-level practice questions.

Estimation and Limits of Accuracy

Subtopic

Estimation and Limits of Accuracy under Number for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Round 15.04915.049 to 1 decimal place.

    A.

    15.115.1

    B.

    15.015.0

    C.

    1515

    D.

    15.0515.05

  2. 2.

    What is 0.004560.00456 rounded to 2 significant figures?

    A.

    0.00450.0045

    B.

    0.00460.0046

    C.

    0.0050.005

    D.

    0.0040.004

  3. 3.

    The speed of a car is 60 mph60\text{ mph} correct to the nearest 10 mph10\text{ mph}. What is the upper bound?

    A.

    65 mph65\text{ mph}

    B.

    64 mph64\text{ mph}

    C.

    70 mph70\text{ mph}

    D.

    60.5 mph60.5\text{ mph}

Download the worksheet for Number - Estimation and Limits of Accuracy to practice offline. It includes additional chapter-level practice questions.