Bihar School Examination Board (BSEB) Class 8 Mathematics: Introduction to Graphs

Instructions. Answer all questions. Fill exactly one bubble per question on the OMR sheet.

1. Introduction to Graphs

   1.

   In a bar graph, what does the height of each bar represent?

   1. (A)

      The total number of bars

   2. (B)

      The frequency or value of the data

   3. (C)

      The category name

   4. (D)

      The difference between two categories

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   Answer: (B)

   The frequency or value of the data

   The height of each bar in a bar graph is directly proportional to the frequency or value of the data it represents, making it easy to compare different categories.

   Introduction to Graphs · Easy

2. 2.

   Which type of graph is best suited to show the distribution of different components of a whole, such as the percentage of students choosing various subjects?

   1. (A)

      Bar graph

   2. (B)

      Pie chart

   3. (C)

      Histogram

   4. (D)

      Line graph

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   Answer: (B)

   Pie chart

   A pie chart (or circle graph) is ideal for showing how parts relate to a whole, as each sector represents a proportion of the total.

   Introduction to Graphs · Medium

3. 3.

   The x-axis and y-axis intersect at a point called the:

   1. (A)

      Vertex

   2. (B)

      Quadrant

   3. (C)

      Coordinate

   4. (D)

      Origin

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   Answer: (D)

   Origin

   The point where the x-axis and y-axis cross each other is known as the origin, and its coordinates are $(0,0)$.

   Introduction to Graphs · Easy

4. 4.

   In a line graph, what does a steeper upward slope indicate?

   1. (A)

      A decrease in value over time

   2. (B)

      A constant value over time

   3. (C)

      No change in value

   4. (D)

      A rapid increase in value over time

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   Answer: (D)

   A rapid increase in value over time

   A steeper upward slope on a line graph signifies a faster rate of increase in the dependent variable with respect to the independent variable (usually time).

   Introduction to Graphs · Medium

5. 5.

   If a graph shows the relationship between the number of hours studied and the marks obtained in an exam, which axis would typically represent the 'number of hours studied'?

   1. (A)

      Both x and y axes

   2. (B)

      Neither axis

   3. (C)

      The y-axis (vertical axis)

   4. (D)

      The x-axis (horizontal axis)

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   Answer: (D)

   The x-axis (horizontal axis)

   In such a scenario, the number of hours studied is the independent variable, which is conventionally plotted on the x-axis, while the marks obtained (dependent variable) are plotted on the y-axis.

   Introduction to Graphs · Hard

— End of the paper · updated 14 October 2026 —