Practice Questions on Graphs in Maths

Graphs are an important mathematical concept used for simplifying certain mathematical equations and understanding the nature of some equations. Depending on the nature of the equation, graphs can be of different types like even, odd, symmetric, bounded, etc. Understanding and thoroughly practising the graphs to ensure a strong foundation is necessary.

In this article, we will study some graphs through solved questions and test the skills gained through a practice sheet.

Important Formulas Related to Graphs

Let us take a look at all the types of graphs.

Graph	Shape	Property
Bar Graph		Represents data in vertical and horizontal bars on the x-axis or y-axis.
Line Graph		When data is represented using a continuous line, it is called a line graph
Histogram		When data is represented in rectangles or bars that are connected without any gap between them, it is the histogram.
Pie Chart		When data is represented in the form of parts of a circle, it is called pie chart.

Practice Questions with Solutions on Graphs

Question 1: Given a graph below, find the coordinates of the point A

You can clearly see that the point A is 3 units from y axis so x coordinate is 3 practicing fourth quadrant x coordinate will be positive and y coordinate will be negative ∴ A(x,y)= 3,-4

Question 2: For this given bar graph, make the tabular table of frequency

Let us make the table

Question 3: Find the two pairs that have the same score, you can take the help of table made in question 5.

On observation, Amelia and Helena have the same score of 72 and Catherine and Christina have the same score of 48.

Question 4: Use the table made in question 2 to find the average class score. Verify from the graph as well.

The formula to calculate average is sum of observations divided by total observations

∴ average= total marks/ total student

∴ average= (72+48+96+48+72)/ 5

∴ average= 67.2

Now, using the graph

∴ average= (72+48+96+48+72)/ 5

∴ average= 67.2

Hence verified

Question 5: Look at the pie chart given below and find what is number of 2-DOOR Sedans if there are 100 cars.

Since 2-DOOR Sedans occupy 25% of the total cars, the number of 2-DOOR Sedans are

∴ 25% of 100

∴ number of 2-DOOR Sedans=25/100 × 100

∴ number of 2-DOOR Sedans= 25

Question 6: Use the pie chart in previous question to calculate the total percentage of cars occupied by Trucks and SUVs

The total percentage of car is 100% which is the sum of all elements in pie chart therefore, the percentage will be sum of percentages occupied by Trucks and SUVs i.e. 17%+13%= 30% Total percentage of cars occupied by Trucks and SUVs is 30%

Question 7: Find the difference between number of students in grades 1 and 6 using the bar-graph given below.

Difference between no. of students = number of students in grade 1 - number of students in grade 6

∴ Difference between number of students = 100-90

∴Difference between number of students = 10

Question 8: Use the graph given in question 7 to find the average of students in classes 8 and 7.

The formula to calculate average is sum of observations divided by total observations

∴ average= total count/ 2

∴ average=(70+50)/2

∴ average= 60

Question 9: Look at the line graph given below and find the number of points where income of company x and company y are same.

We can clearly say that the income of company x and y is same in years between 1993-1994, 1994-1995, 1995-1996 and 1997-1998

Therefore, four points

Question 10: Use the line graph in previous question and tell sales of the company z in year 1995.

If we carefully observe, the income of the company z in year 1995 is 120 crore.

Unsolved Questions on Graphs

Question 1: A circular graph in which each sector represents a particular quantity is called a:

Question 2: Consumers were polled about their favorite chocolate flavors in a survey. Tell which is the favorite chocolate people.

Question 3: The table below shows the newspaper read by 200 people in a society. How many people read Hindustan Times as their preferred paper?

Question 4: Create a pie chart based on following data.

Question 5: Take a look at the bar graph given below and find the average of students in classes 6 and 7.

Question 6: Look at the bar graph given in question number 5 and tell whether the average of students in 7 and 6 grade is greater than average of students in 1, 2 and 3 grade.

Question 7: Observe the graph given below and tell which of the following students has scored the lowest marks.

Question 8: Use the bar graph given in question 7 to find the average marks of the pairs who have same score.

Question 9: Use the bar graph given below to tabulate the important data of subject and their marks.

Question 10: From the graph in question 9 tell which subject has the highest marks and how many?

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