Check the below NCERT MCQ Questions for Class 8 Maths Chapter 15 Introduction to graphs with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Introduction to graphs Class 8 Maths MCQs Questions with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs for better exam preparation and score more marks.

## Introduction to graphs Class 8 MCQs Questions with Answers

Observe the following bar graph and answer the related questions:

Question 1.

On which head, is the expenditure maximum ?

(a) Travelling allowance

(b) Rent

(c) Appliances

(d) Salary of employees.

## Answer

Answer: (d) Salary of employees.

Hint:

The length of the bar corresponding to the head ‘salary of employees’ is maximum.

Question 2.

On which head/heads, is the expenditure minimum ?

(a) Travelling allowance/rent

(b) Appliances

(c) Salary of employees

(d) Others.

## Answer

Answer: (a) Travelling allowance/rent

Hint:

The length of the bar corresponding to the head travelling allowance/rent is minimum.

Question 3.

On which two heads, is the expenditure same ?

(a) Salary of employees and others

(b) Travelling allowance and rent

(c) Appliances and rent

(d) Appliances and others.

## Answer

Answer: (b) Travelling allowance and rent

Hint:

The lengths of the bars corresponding to the heads travelling allowance and rent are the same.

Question 4.

What is the difference of expenditures (in thousands of rupees) on salary of employees and rent ?

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (c) 300

Hint:

400 – 100 = 300

Question 5.

What is the sum of the expenditures (in thousands of rupees) on travelling allowance and rent ?

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (b) 200

Hint:

100 + 100 = 200

Observe the following circle-graph and answer the related questions:

Question 6.

On which head is the expenditure maximum ?

(a) Food

(b) Clothes

(c) House rent

(d) Education.

## Answer

Answer: (a) Food

Hint:

The central angle is maximum for food.

Question 7.

On which head is the expenditure minimum ?

(a) Education

(b) House rent

(c) Food

(d) Clothes.

## Answer

Answer: (a) Education

Hint:

The central angle is minimum for education.

Question 8.

If the budget of the family is Rs 10800, what is the saving ?

(a) Rs 1050

(b) Rs 1000

(c) Rs 950

(d) Rs 1200.

## Answer

Answer: (a) Rs 1050

Hint:

Saving = \(\frac{35}{360}\) × 10800 = 1050.

Question 9.

What is the difference of expenditures on clothes and education if the budget of the family is Rs 10800 ?

(a) Rs 1200

(b) Rs 1000

(c) Rs 800

(d) Rs 1500.

## Answer

Answer: (a) Rs 1200

Hint:

70 – 30 = 40

\(\frac{40}{360}\) × 10800 = 1200.

Question 10.

What is the sum of the expenditures on food and education if the budget of the family is Rs 10800 ?

(a) Rs 5000

(b) Rs 8000

(c) Rs 5400

(d) Rs 6000.

## Answer

Answer: (c) Rs 5400

Hint:

150 + 30 = 180

\(\frac{180}{360}\) × 10800 = 5400

Observe the following histogram and answer the related questions:

Question 11.

In which class interval, are the maximum number of students ?

(a) 0-5

(b) 5-10

(c) 20-25

(d) 15-20.

## Answer

Answer: (c) 20-25

Hint:

The length of the rectangle on 20 – 25 is maximum.

Question 12.

In which class interval, are the minimum number of students ?

(a) 0-5

(b) 5-10

(c) 10-15

(d) 15-20.

## Answer

Answer: (a) 0-5

Hint:

The length of the rectangle on 0 – 5 is maximum.

Question 13.

In which class intervals, is the number of students 200 ?

(a) 5-10

(b) 0-5

(c) 20-25

(d) 15-20.

## Answer

Answer: (a) 5-10

Hint:

5-10 → 200

Question 14.

The difference in the number of students of class intervals 0-5 and 5-10 is

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (a) 100

Hint:

0-5 → 100

5-10 → 200

200-100 = 100

Question 15.

The sum of the number of students in the class intervals 10-15 and 20-25 is

(a) 800

(b) 900

(c) 600

(d) 400.

## Answer

Answer: (a) 800

Hint:

10-15 → 300

20-25 → 500

300 + 500 = 800.

Observe the following temperature time graph and answer the related questions:

Question 16.

At what time is the temperature maximum ?

(a) 13 hours

(b) 15 hours

(c) 11 hours

(d) 19 hours.

## Answer

Answer: (a) 13 hours

Hint:

13 hours → 104°F

Question 17.

At what time(s) is the temperature minimum ?

(a) 7 hours and 21 hours

(b) 9 hours

(c) 11 hours

(d) 13 hours.

## Answer

Answer: (a) 7 hours and 21 hours

Hint:

7, 21 → 98°F

Question 18.

103°F temperature is at time

(a) 11 hours

(b) 13 hours

(c) 15 hours

(d) 21 hours.

## Answer

Answer: (a) 11 hours

Hint:

103°F → 11 hours

Question 19.

What is the difference of temperatures at 7 hours and 21 hours ?

(a) 0°F

(b) 1°F

(c) 2°F

(d) 3°F.

## Answer

Answer: (a) 0°F

Hint:

98-98 = 0

Question 20.

What is the rise in temperature from 11 hours to 13 hours ?

(a) 1°F

(b) 2°F

(c) 4°F

(d) 3°F.

## Answer

Answer: (a) 1°F

Hint:

104 – 103 = 1

Question 21.

What is the fall in temperature from 13 hours to 21 hours ?

(a) 2°F

(b) 3°F

(c) 4°F

(d) 6°F

## Answer

Answer: (d) 6°F

Hint:

104 – 98 = 6

Question 22.

The coordinates of the origin are

(a ) (0, 0)

(b) (1, 0)

(c) (0, 1)

(d) (1, 1).

## Answer

Answer: (a ) (0, 0)

Hint:

0 → (0, 0)

Question 23.

What are the coordinates of a point whose x-coordinate is 3 and y-coordinate is 4?

(a) (3, 3)

(b) (3, 4)

(c) (4, 3)

(d) (4, 3).

## Answer

Answer: (b) (3, 4)

Question 24.

What are the coordinates of a point whose x-coordinate is 1 and y-coordinate isO?

(a) (1, 0)

(b) (0, 0)

(c) (0, 1)

(d) (1, 1).

## Answer

Answer: (a) (1, 0)

Question 25.

What are the coordinates of a point whose x-coordinate is 0 and y-coordinate is 1?

(a) (0, 1)

(b) (0, 0)

(c) (1, o)

(d) (1, 1).

## Answer

Answer: (a) (0, 1)

Observe the following velocity-time graph and answer the related questions:

Question 26.

At what time is the velocity maximum ?

(a) 7

(b) 8

(c) 9

(d) 10.

## Answer

Answer: (a) 7

Hint:

7 → 100

Question 27.

At what time is the velocity minimum ?

(a) 8

(b) 9

(c) 10

(d) 11.

## Answer

Answer: (d) 11

Hint:

11 → 20

Question 28.

At what times are the velocities equal ?

(a) 8 and 12

(b) 9 and 11

(c) 7 and 12

(d) 11 and 13.

## Answer

Answer: (a) 8 and 12

Hint:

8 → 80

12 → 80

Question 29.

What is the fall in velocity from 7 to 11 ?

(a) 80 km/hour

(b) 90 km/hour

(c) 100 km/hour

(d) 20 km/hour.

## Answer

Answer: (a) 80 km/hour

Hint:

100 – 20 = 80

Question 30.

What is the rise in velocity from 11 to 12?

(a) 10 km/hour

(b) 20 km/hour

(c) 30 km/hour

(d) 60 km/hour.

## Answer

Answer: (d) 60 km/hour

Hint:

80 – 20 = 60

Observe the following runs-over graph and answer the related questions:

Question 31.

In which over are the maximum runs scored ?

(a) II

(b) IV

(c) V

(d) VI.

## Answer

Answer: (d) VI

Hint:

VI → 11

Question 32.

In which over are the minimum runs scored ?

(a) X

(b) XI

(c) XII

(d) IX.

## Answer

Answer: (c) XII

Hint:

XII → 1

Question 33.

What is the difference of runs scored in IV and V overs ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (a) 1

Hint:

8 – 7 = 1

Question 34.

What is the sum of runs scored in I and XII overs ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (c) 3

Hint:

2 + 1 = 3

Question 35.

3 runs are scored in which overs ?

(a) II and X

(b) I and V

(c) VII and VIII

(d) X and XII

## Answer

Answer: (a) II and X

Hint:

II → 3, X → 3

Read the graph and answer the related questions:

Question 36.

In which year was the rate of interest maximum ?

(a) 2005

(b) 2003

(c) 2006

(d) 2002.

## Answer

Answer: (a) 2005

Hint:

2005 → 12

Question 37.

In which year was the rate of interest minimum ?

(a) 2006

(b) 2004

(c) 2001

(d) 2005.

## Answer

Answer: (a) 2006

Hint:

2006 → 4

Question 38.

The difference in the maximum and minimum rates of interest was

(a) 2%

(b) 4%

(c) 6%

(d) 8%.

## Answer

Answer: (d) 8%

Hint:

12 – 4 = 8

Question 39.

Rise in interest from 2004 to 2005 was

(a) 2%

(b) 4%

(c) 6%

(d) 8%.

## Answer

Answer: (b) 4%

Hint:

12 – 8 = 4

Question 40.

The fall in interest from 2001 to 2002 was

(a) 1%

(b) 2%

(c) 3%

(d) 4%.

## Answer

Answer: (b) 2%

Hint:

10 – 8 = 2

Read the graph and answer the related questions:

Question 41.

How many students appeared in the year 2000 ?

(a) 200

(b) 250

(c) 300

(d) 350.

## Answer

Answer: (b) 250

Hint:

2000 → 250

Question 42.

In which year did 50 students appear ?

(a) 1998

(b) 2001

(c) 1997

(d) 1996.

## Answer

Answer: (d) 1996

Hint:

50 → 1996

Question 43.

In which year did the maximum number of students appear ?

(a) 2002

(b) 2000

(c) 2001

(d) 1999.

## Answer

Answer: (a) 2002

Hint:

2002 → 350

Question 44.

What is the maximum number of students that appeared in any year ?

(a) 350

(b) 300

(c) 250

(d) 300.

## Answer

Answer: (a) 350

Hint:

350

Question 45.

In which two years was the number of students appearing was the same ?

(a) 1997 and 1998

(b) 1998 and 1999

(c) 1999 and 2000

(d) 2000 and 2001.

## Answer

Answer: (a) 1997 and 1998

Hint:

1997 → 150

1998 → 150

Read the graph and answer the related questions:

Question 46.

The maximum books are of which subject ?

(a) Hindi

(b) Science

(c) English

(d) Sanskrit.

## Answer

Answer: (a) Hindi

Hint:

Hindi → 600

Question 47.

The minimum books are of which subject ?

(a) Home Science

(b) Sanskrit

(c) Science

(d) English

## Answer

Answer: (a) Home Science

Hint:

Home Science → 100

Question 48.

500 books are of which subject ?

(a) English

(b) Science

(c) Hindi

(d) Maths.

## Answer

Answer: (d) Maths

Hint:

500 → Maths

Question 49.

How many books are of subject Home Science ?

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (a) 100

Hint:

Home Science → 100

Question 50.

How many books are there in Sanskrit and Home Science taken together ?

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (c) 300

Hint:

Sanskrit → 200

Home Science → 100

200 + 100 = 300

Read the graph and answer the related questions:

Question 51.

In which year was the number of labourers maximum ?

(a) 2001

(b) 2002

(c) 2003

(d) 2004.

## Answer

Answer: (d) 2004

Hint:

2004 → 500

Question 52.

In which year was the number of labourers minimum ?

(a) 2003

(b) 2004

(c) 2005

(d) 2006.

## Answer

Answer: (d) 2006

Hint:

2006 → 100

Question 53.

What was the difference of the number of labourers in the years 2002 and 2003 ?

(a) 100

(b) 200

(c) 300

(d) 400.

## Answer

Answer: (b) 200

Hint:

2002 → 300

2003 → 500

500 – 300 = 200

Question 54.

Find the rise in the number of labourers from 2001 to 2004.

(a) 200

(b) 300

(c) 400

(d) 500.

## Answer

Answer: (c) 400

Hint:

2001 → 200

2004 → 600

600 – 200 = 400

Question 55.

Find the sum of the number of labourers in the years 2004 and 2006.

(a) 700

(b) 600

(c) 200

(d) 500.

## Answer

Answer: (a) 700

Hint:

2004 → 600

2006 → 100

600 + 100 = 700

Read the circle graph and answer the related questions:

Question 56.

There are in all 1000 students in a school. The number of students of class I are

(a) 500

(b) 250

(c) 125

(d) none of these.

## Answer

Answer: (a) 500

Hint:

\(\frac{50}{100}\) × 1000 = 500

Question 57.

The number of students of class II is

(a) 500

(b) 250

(c) 125

(d) 100.

## Answer

Answer: (b) 250

Hint:

\(\frac{25}{100}\) x 1000 = 250

Question 58.

In which two classes is the number of students the same ?

(a) I and II

(b) I and III

(c) III and IV

(d) I and IV.

## Answer

Answer: (c) III and IV

Hint:

III → 12\(\frac{1}{2}\)%

IV → 12\(\frac{1}{2}\)%

Question 59.

The minimum number of students in any class is

(a) 125

(b) 250

(c) 500

(d) 1000.

## Answer

Answer: (a) 125

Hint:

\(\frac{25}{2}\) × \(\frac{1000}{100}\) = 125

Question 60.

The sum of the number of students of class III and class IV is

(a) 500

(b) 1000

(c) 50

(d) 250.

## Answer

Answer: (d) 250

Hint:

125 + 125 = 250

Question 61.

A ________ is a bar graph that shows data in intervals.

(a) Bar-graph

(b) Pie-chart

(c) Histograph

(d) Line Graph

## Answer

Answer: (c) Histograph

Question 62.

A graph that displays data that changes continuously over periods of time is called:

(a) Bar-graph

(b) Pie-chart

(c) Histograph

(d) Line Graph

## Answer

Answer: (d) Line Graph

Question 63.

A line graph which is a whole unbroken line is called a:

(a) Linear graph

(b) Pie-chart

(c) Histograph

(d) Bar-graph

## Answer

Answer: (a) Linear graph

Question 64.

Which point lies of y-axis?

(a) (-2, 0)

(b) (2, 0)

(c) (0, -2)

(d) (2, -2)

## Answer

Answer: (c) (0, -2)

Question 65.

If we join (-3,2), (-3,-3) and (-3,4), then we obtain:

(a) A triangle

(b) Straight-line without passing through origin

(c) Straight-line passing through origin

(d) None of the above

## Answer

Answer: (b) Straight-line without passing through origin

Question 66.

The point (4, 0) lies on which of the following?

(a) x-axis

(b) y-axis

(c) origin

(d) None of the above

## Answer

Answer: (a) x-axis

Question 67.

The point (-2,-2) is:

(a) near to x-axis

(b) near to y-axis

(c) near to origin

(d) Equidistant from x-axis and y-axis.

## Answer

Answer: (d) Equidistant from x-axis and y-axis.

Question 68.

The point (-2, 5) is nearer to:

(a) x-axis

(b) y-axis

(c) origin

(d) None of the above

## Answer

Answer: (a) x-axis

Question 69.

The point (-5, 2) is nearer to:

(a) x-axis

(b) y-axis

(c) origin

(d) None of the above

## Answer

Answer: (b) y-axis

Question 70.

The point (0, 0) lies at:

(a) x-axis

(b) y-axis

(c) origin

(d) None of the above

## Answer

Answer: (c) origin

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