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Number and Algebra

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

Sequences and Series (Arithmetic and Geometric)

Subtopic

Sequences and Series (Arithmetic and Geometric) under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In an arithmetic sequence, if u1=5u_1 = 5 and u3=15u_3 = 15, find the common difference dd.

    A.

    10

    B.

    2

    C.

    5

    D.

    7.5

  2. 2.

    Find the positive value of xx such that 2,x,182, x, 18 form a geometric sequence.

    A.

    6

    B.

    8

    C.

    9

    D.

    10

  3. 3.

    If u1=7u_1 = 7 and d=−2d = -2 in an arithmetic sequence, calculate S2S_2.

    A.

    5

    B.

    12

    C.

    14

    D.

    9

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

Exponents and Logarithms

Subtopic

Exponents and Logarithms under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate 43/24^{3/2}.

    A.

    6

    B.

    8

    C.

    16

    D.

    2

  2. 2.

    Which of the following is equivalent to log⁡xy\log \frac{x}{y}?

    A.

    log⁡x+log⁡y\log x + \log y

    B.

    log⁡x−log⁡y\log x - \log y

    C.

    log⁡xlog⁡y\frac{\log x}{\log y}

    D.

    log⁡(x−y)\log(x-y)

  3. 3.

    What is xa⋅xbx^{a} \cdot x^{b} equal to?

    A.

    xabx^{ab}

    B.

    xa+bx^{a+b}

    C.

    xa−bx^{a-b}

    D.

    (2x)a+b(2x)^{a+b}

Download the worksheet for Number and Algebra - Exponents and Logarithms to practice offline. It includes additional chapter-level practice questions.

The Binomial Theorem

Subtopic

The Binomial Theorem under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the 2nd term of (1+x)5(1 + x)^{5} when written in ascending powers of xx.

    A.

    1

    B.

    5x5x

    C.

    10x210x^{2}

    D.

    xx

  2. 2.

    Evaluate (43)\binom{4}{3}.

    A.

    1

    B.

    3

    C.

    4

    D.

    12

  3. 3.

    Find the coefficient of x2x^{2} in the expansion of (2x+3)2(2x + 3)^{2}.

    A.

    2

    B.

    4

    C.

    9

    D.

    12

Download the worksheet for Number and Algebra - The Binomial Theorem to practice offline. It includes additional chapter-level practice questions.

Proof (including Proof by Induction for HL)

Subtopic

Proof (including Proof by Induction for HL) under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In the inductive step of a proof, if P(k)P(k) is the formula ∑i=1ki=k(k+1)2\sum_{i=1}^k i = \frac{k(k+1)}{2}, what is the first term added to the left side to move to P(k+1)P(k+1)?

    A.

    kk

    B.

    k+1k+1

    C.

    11

    D.

    (k+1)(k+2)2\frac{(k+1)(k+2)}{2}

  2. 2.

    Which of the following is a proposition (a statement that is either true or false)?

    A.

    x+5x + 5

    B.

    3+2=63 + 2 = 6

    C.

    Solve for xx

    D.

    Hello world

  3. 3.

    If a proof by induction is required for n∈{0,1,2,...}n \in \{0, 1, 2, ...\}, the base case should check:

    A.

    n=1n=1

    B.

    n=0n=0

    C.

    n=−1n=-1

    D.

    n=kn=k

Download the worksheet for Number and Algebra - Proof (including Proof by Induction for HL) to practice offline. It includes additional chapter-level practice questions.

Complex Numbers (HL)

Subtopic

Complex Numbers (HL) under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the argument of the complex number z=−5z = -5?

    A.

    00

    B.

    π2\frac{\pi}{2}

    C.

    π\pi

    D.

    −π2-\frac{\pi}{2}

  2. 2.

    Expand i(i+1)i(i + 1).

    A.

    i−1i - 1

    B.

    i+1i + 1

    C.

    −i+1-i + 1

    D.

    −i−1-i - 1

  3. 3.

    Simplify (2+i)−(2−i)(2 + i) - (2 - i).

    A.

    44

    B.

    2i2i

    C.

    00

    D.

    −2i-2i

Download the worksheet for Number and Algebra - Complex Numbers (HL) to practice offline. It includes additional chapter-level practice questions.

Systems of Linear Equations

Subtopic

Systems of Linear Equations under Number and Algebra for Grade 11 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Tickets for a show cost 55 dollars for children and 1010 dollars for adults. If a group of 4 people paid 3030 dollars total, how many children were in the group?

    A.

    1

    B.

    2

    C.

    3

    D.

    0

  2. 2.

    A sandwich and a soda cost 88 dollars in total. If the sandwich costs 22 dollars more than the soda, how much does the soda cost?

    A.

    $3

    B.

    $5

    C.

    $2

    D.

    $4

  3. 3.

    Solve for (x,y)(x, y): 2x+y=92x + y = 9 x+2y=9x + 2y = 9

    A.

    (2, 5)

    B.

    (4, 1)

    C.

    (3, 3)

    D.

    (1, 7)

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

Number and Algebra - IB Grade 11 Maths Notes & Revision | Krit.club