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JEE Advanced Mathematics — practice questions

Explore 8 free Mathematics questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Mathematics questions and exercises with answers

Showing questions 1–8 of 8.

Continue the Fibonacci sequence.Read the answer and worked solution →Type the value for each trigonometric expression.Read the answer and worked solution →Sort each function as Even or Odd.Read the answer and worked solution →Match each integrand to its antiderivative.Read the answer and worked solution →Sort each series as Convergent or Divergent.Read the answer and worked solution →Type the value.Read the answer and worked solution →Sort each quadratic by its roots.Read the answer and worked solution →Match each probability expression to its formula.Read the answer and worked solution →

Worked practice questions

Continue the Fibonacci sequence.

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Questions
  1. Question
    1, 1, 2, 3, ___
    Correct
    5
    Choices
    1. 3
    2. 5
    3. 7
    4. 9
  2. Question
    1, 1, 2, 3, 5, ___
    Correct
    8
    Choices
    1. 5
    2. 8
    3. 11
    4. 14
  3. Question
    1, 1, 2, 3, 5, 8, ___
    Correct
    13
    Choices
    1. 8
    2. 13
    3. 18
    4. 23
  4. Question
    1, 1, 2, 3, 5, 8, 13, ___
    Correct
    21
    Choices
    1. 13
    2. 21
    3. 29
    4. 37
Instructions
Each term = sum of previous two.
_Source: syllabus Maths Part I, Ch 9 'Sequences and Series'_

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Type the value for each trigonometric expression.

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Questions
  1. Answer
    1
    Question
    cos 0
  2. Answer
    1
    Question
    sin 90
  3. Answer
    1
    Question
    tan 45
  4. Answer
    0
    Question
    sin 0
  5. Answer
    0
    Question
    cos 90
Instructions
Common trig values — type as a number or fraction.
_Source: syllabus Maths Part I, Ch 3 'Trigonometric Functions' Table 3.4_

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Sort each function as Even or Odd.

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Left
Even
Items
  1. Item
    cos x
    Answer
    Even
  2. Item
    x²
    Answer
    Even
  3. Item
    |x|
    Answer
    Even
  4. Item
    sin x
    Answer
    Odd
  5. Item
    x³
    Answer
    Odd
  6. Item
    tan x
    Answer
    Odd
Right
Odd
Instructions
Even: f(−x)=f(x). Odd: f(−x)=−f(x).
_Source: syllabus Maths Part I, Ch 1 'Relations and Functions' §1.2_

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More Mathematics topics

Vector Algebra and 3D GeometryStatistics and ProbabilityContinuity, Differentiability & DerivativesIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse TrigonometryStraight Lines and Conic SectionsDeterminants