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CBSE Class 10 Number Theory — practice questions — page 2

Explore 37 free Number Theory questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Number Theory questions and exercises with answers

Showing questions 31–37 of 37.

Tap every statement true of slopeRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Complete the angle between two linesRead the answer and worked solution →True or false: using coordinatesRead the answer and worked solution →Key in the number theory answerRead the answer and worked solution →Tap every prime numberRead the answer and worked solution →

Worked practice questions

Tap every statement true of slope

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Questions
  1. Items
    1. Text
      It is a ratio of differences
      Matches the category
      Yes
    2. Text
      It equals tan of the angle with the x-axis
      Matches the category
      Yes
    3. Text
      It is undefined for a vertical line
      Matches the category
      Yes
    4. Text
      It is undefined for a horizontal line
      Matches the category
      No
    5. Text
      It is always positive
      Matches the category
      No
    Category
    True of SLOPE
What slope is and where it fails. Source: syllabus Maths, Ch 9 Straight Lines.

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Reading the definitions back

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Questions
  1. Question
    Slope of a horizontal line
    Choices
    1. undefined
    2. one
    3. zero
    Correct choice
    zero
  2. Question
    Slope of a vertical line
    Choices
    1. undefined
    2. zero
    3. infinite and defined
    Correct choice
    undefined
  3. Question
    If a line makes angle α with the x-axis, its slope is
    Choices
    1. sin α
    2. tan α
    3. cos α
    Correct choice
    tan α
  4. Question
    Three points are collinear when
    Choices
    1. slopes multiply to −1
    2. slopes differ
    3. slope AB = slope BC
    Correct choice
    slope AB = slope BC
Straight recall of the summary bullets. Source: syllabus Maths, Ch 9 Straight Lines.

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Spot the one that does not belong

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Questions
  1. Items
    1. Perpendicular
    2. Equal slopes
    3. Parallel
    Odd item
    Perpendicular
  2. Items
    1. Slope zero
    2. Vertical
    3. Horizontal
    Odd item
    Vertical
  3. Items
    1. Slope AB
    2. Slope BC
    3. tan α
    Odd item
    tan α
Grouped by which test each belongs to. Source: syllabus Maths, Ch 9 Straight Lines.

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SequencesBinomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometrySurface Areas and VolumesCoordinate Geometry