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Number

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

Types of numbers and sequences

Subtopic

Types of numbers and sequences under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the value of 707^0?

    A.

    0

    B.

    1

    C.

    7

    D.

    49

  2. 2.

    What is the nn-th term of the sequence of odd numbers: 1,3,5,7,…1, 3, 5, 7, \dots?

    A.

    n+1n + 1

    B.

    2n2n

    C.

    2n−12n - 1

    D.

    n2n^2

  3. 3.

    In the geometric sequence 12,14,18,…\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \dots, what is the common ratio?

    A.

    2

    B.

    12\frac{1}{2}

    C.

    14\frac{1}{4}

    D.

    −2-2

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

Set notation and Venn diagrams

Subtopic

Set notation and Venn diagrams under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If L={x:x is a letter in "MATH"}L = \{x : x \text{ is a letter in "MATH"}\} and M={x:x is a letter in "TEAM"}M = \{x : x \text{ is a letter in "TEAM"}\}, find L∩ML \cap M.

    A.

    {M,A,T,H,E}\{M, A, T, H, E\}

    B.

    {A,T,M}\{A, T, M\}

    C.

    {H,E}\{H, E\}

    D.

    {M,A,T}\{M, A, T\}

  2. 2.

    If E={2,4,6,8,10}\mathcal{E} = \{2, 4, 6, 8, 10\} and A=EA = \mathcal{E}, what is A′A'?

    A.

    {0}\{0\}

    B.

    {2,4,6,8,10}\{2, 4, 6, 8, 10\}

    C.

    ∅\varnothing

    D.

    {1,3,5,7,9}\{1, 3, 5, 7, 9\}

  3. 3.

    What is the intersection of set AA and the empty set?

    A.

    AA

    B.

    E\mathcal{E}

    C.

    ∅\varnothing

    D.

    A′A'

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

Squares, cubes, and roots

Subtopic

Squares, cubes, and roots under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate 0.0001\sqrt{0.0001}.

    A.

    0.01

    B.

    0.001

    C.

    0.1

    D.

    0.0001

  2. 2.

    Find the value of 16216^2.

    A.

    256

    B.

    196

    C.

    226

    D.

    32

  3. 3.

    Calculate 121+643\sqrt{121} + \sqrt[3]{64}.

    A.

    15

    B.

    14

    C.

    17

    D.

    11

Download the worksheet for Number - Squares, cubes, and roots to practice offline. It includes additional chapter-level practice questions.

Fractions, decimals, and percentages

Subtopic

Fractions, decimals, and percentages under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify 35100\frac{35}{100} to its lowest terms.

    A.

    720\frac{7}{20}

    B.

    310\frac{3}{10}

    C.

    725\frac{7}{25}

    D.

    14\frac{1}{4}

  2. 2.

    Increase 200200 by 5%5\%.

    A.

    205

    B.

    210

    C.

    250

    D.

    220

  3. 3.

    Calculate 2.5×0.42.5 \times 0.4.

    A.

    10

    B.

    0.1

    C.

    1

    D.

    0.01

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 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A concrete mix uses sand and cement in the ratio 3:23:2. If 2525 kg of the mix is prepared, how many kilograms of sand were used?

    A.

    1515 kg

    B.

    1010 kg

    C.

    12.512.5 kg

    D.

    7.57.5 kg

  2. 2.

    If 200200g of a product costs $3.20\$3.20, calculate the price per kilogram.

    A.

    $6.40\$6.40

    B.

    $12.80\$12.80

    C.

    $15.00\$15.00

    D.

    $16.00\$16.00

  3. 3.

    If x4=y7\frac{x}{4} = \frac{y}{7}, what is the ratio x:yx:y in its simplest form?

    A.

    7:47:4

    B.

    11:411:4

    C.

    4:74:7

    D.

    28:128:1

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

Standard form

Subtopic

Standard form under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate (4.4×108)÷2(4.4 \times 10^8) \div 2 and give your answer in standard form.

    A.

    2.2×1082.2 \times 10^8

    B.

    2.2×1042.2 \times 10^4

    C.

    22×10722 \times 10^7

    D.

    2.2×1072.2 \times 10^7

  2. 2.

    Convert 1.1×10−51.1 \times 10^{-5} into an ordinary number.

    A.

    0.000110.00011

    B.

    0.0000110.000011

    C.

    0.00000110.0000011

    D.

    0.110000.11000

  3. 3.

    Convert 5.43×1015.43 \times 10^1 into an ordinary number.

    A.

    543543

    B.

    0.5430.543

    C.

    54.354.3

    D.

    5.435.43

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

Simple and compound interest

Subtopic

Simple and compound interest under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A sum of 10001000 is invested at 2%2\% compound interest per year. What is the total amount after 55 years?

    A.

    1100.001100.00

    B.

    104.08104.08

    C.

    1104.081104.08

    D.

    1105.001105.00

  2. 2.

    Calculate the simple interest on 20002000 at 0.1%0.1\% per year for 1010 years.

    A.

    22

    B.

    2020

    C.

    20202020

    D.

    200200

  3. 3.

    If 300300 is invested at 5%5\% compound interest per year, what is the total value after 33 years?

    A.

    345.00345.00

    B.

    47.2947.29

    C.

    347.29347.29

    D.

    315.75315.75

Download the worksheet for Number - Simple and compound interest to practice offline. It includes additional chapter-level practice questions.

Lower and upper bounds

Subtopic

Lower and upper bounds under Number for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    An angle α\alpha is 90∘90^{\circ} correct to the nearest degree. What is the upper bound of α\alpha?

    A.

    90.5∘90.5^{\circ}

    B.

    91∘91^{\circ}

    C.

    90.1∘90.1^{\circ}

    D.

    89.5∘89.5^{\circ}

  2. 2.

    A length ll is 10.00 cm10.00\text{ cm} correct to 22 decimal places. What is the lower bound of ll?

    A.

    9.995 cm9.995\text{ cm}

    B.

    9.99 cm9.99\text{ cm}

    C.

    9.95 cm9.95\text{ cm}

    D.

    10.005 cm10.005\text{ cm}

  3. 3.

    A mass gg is 0.55 kg0.55\text{ kg} correct to 22 decimal places. Which inequality represents gg?

    A.

    0.545≤g<0.5550.545 \le g < 0.555

    B.

    0.54≤g<0.560.54 \le g < 0.56

    C.

    0.5≤g<0.60.5 \le g < 0.6

    D.

    0.545<g≤0.5550.545 < g \le 0.555

Download the worksheet for Number - Lower and upper bounds to practice offline. It includes additional chapter-level practice questions.

Number - IGCSE Grade 11 Maths Notes & Revision | Krit.club