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Number

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

Rational and Irrational Numbers

Subtopic

Rational and Irrational Numbers under Number for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate 225−100\sqrt{225} - \sqrt{100}.

    A.

    125125

    B.

    55

    C.

    1515

    D.

    2525

  2. 2.

    If a=2a = \sqrt{2} and b=18b = \sqrt{18}, find the product abab.

    A.

    66

    B.

    3636

    C.

    2020

    D.

    20\sqrt{20}

  3. 3.

    Calculate 12+14\frac{1}{2} + \frac{1}{4} and classify the result.

    A.

    0.750.75, Rational

    B.

    0.60.6, Rational

    C.

    0.750.75, Irrational

    D.

    3/43/4, Irrational

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

Standard Form (Scientific Notation)

Subtopic

Standard Form (Scientific Notation) under Number for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is 1.0×1061.0 \times 10^6 expressed as an ordinary number?

    A.

    100,000100,000

    B.

    1,000,0001,000,000

    C.

    10,000,00010,000,000

    D.

    1,0001,000

  2. 2.

    Express 0.000000001230.00000000123 in standard form.

    A.

    1.23×10−81.23 \times 10^{-8}

    B.

    1.23×10−91.23 \times 10^{-9}

    C.

    1.23×10−101.23 \times 10^{-10}

    D.

    12.3×10−1012.3 \times 10^{-10}

  3. 3.

    Subtract (5×103)−(1×103)(5 \times 10^3) - (1 \times 10^3) and express in standard form.

    A.

    4×1004 \times 10^0

    B.

    4×1034 \times 10^3

    C.

    4×1064 \times 10^6

    D.

    6×1036 \times 10^3

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

Ratio, Proportion, and Rate

Subtopic

Ratio, Proportion, and Rate under Number for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A car travels 150 km150\text{ km} in 2.5 hours2.5\text{ hours}. What is its average speed in km/h\text{km/h}?

    A.

    50 km/h50\text{ km/h}

    B.

    60 km/h60\text{ km/h}

    C.

    70 km/h70\text{ km/h}

    D.

    75 km/h75\text{ km/h}

  2. 2.

    Decrease 120120 in the ratio 3:43:4.

    A.

    9090

    B.

    8080

    C.

    100100

    D.

    160160

  3. 3.

    On a map, a distance of 5 cm5\text{ cm} represents an actual distance of 2 km2\text{ km}. What is the scale of the map?

    A.

    1:4001:400

    B.

    1:4,0001:4,000

    C.

    1:40,0001:40,000

    D.

    1:400,0001:400,000

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

Percentages and Interest (Simple and Compound)

Subtopic

Percentages and Interest (Simple and Compound) under Number for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    An investment of $10,000\$10,000 grows at 3%3\% compound interest per year. What is the total amount after 22 years?

    A.

    $10,600\$10,600

    B.

    $10,609\$10,609

    C.

    $10,618\$10,618

    D.

    $10,900\$10,900

  2. 2.

    Calculate the simple interest on $1200\$1200 at 2.5%2.5\% per year for 44 years.

    A.

    $100\$100

    B.

    $120\$120

    C.

    $140\$140

    D.

    $150\$150

  3. 3.

    If 40%40\% of a number is 2828, what is the original number?

    A.

    6060

    B.

    6565

    C.

    7070

    D.

    7575

Download the worksheet for Number - Percentages and Interest (Simple and Compound) 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 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is n(∅)n(\emptyset)?

    A.

    1

    B.

    ∅\emptyset

    C.

    0

    D.

    undefined

  2. 2.

    If V={a,e,i,o,u}V = \{a, e, i, o, u\}, which of the following is a subset of VV?

    A.

    {a,b,c}\{a, b, c\}

    B.

    {i,o,u}\{i, o, u\}

    C.

    {v,w,x,y,z}\{v, w, x, y, z\}

    D.

    {e,i,o,p}\{e, i, o, p\}

  3. 3.

    Which of the following describes a finite set?

    A.

    {x:x>10,x∈R}\{x : x > 10, x \in \mathbb{R}\}

    B.

    {x:x is a multiple of 3}\{x : x \text{ is a multiple of 3}\}

    C.

    {x:x is a state in the USA}\{x : x \text{ is a state in the USA}\}

    D.

    {x:x is a point on a line segment}\{x : x \text{ is a point on a line segment}\}

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

Number - IGCSE Grade 12 Maths Notes & Revision | Krit.club