Class 8th Mathematics MCQ

Chapter 14: Factorisation Part 1

Q1. Read the graph and answer the related questions:

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

1. 1997 and 1998

2. 1998 and 1999

3. 1999 and 2000

4. 2000 and 2001

 

Ans: 1. 1997 and 1998

Solution:

1997 → 150

1998 → 150

Q2. Tick the corect answer in the following:

In which of the following quadrants does the point (-7, -1) lie?

1. I

2. II

3. III

4. IV

 

Ans: 3. III

Q3. Observe the following histogram and answer the related questions:

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

1. 0-5

2. 5-10

3. 10-15

4. 15-20

 

Ans: 1. 0-5

Solution:

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

Q4. Tick the corect answer in the following:

The abscissa of a point is its distance from the-

1. Origin.

2. X-axis.

3. Y-axis.

4. None of these.

Ans: 3. Y-axis.

Q5. The coordinates of a point at a distance of 3 units from the x axis and 6 units from the y axis is:

1. (0, 3)

2. (6, 0)

3. (3, 6)

4. (6, 3)

 

Ans: 4. (6, 3)

Solution:

We know that, the x-coordinate is the distance of the point from /-axis and the y-coordinate is the distance of the point from X-axis.

Hence, the coordinates of the required point are (6, 3).

Q6. Which point lies only on y-axis?

1. (-2, 0)

2. (2, 0)

3. (2, -2)

4. (0, -2)

 

Ans: 4. (0, -2)

Q7. Read the graph and answer the related questions:

The minimum books are of which subject?

1. Home Science

2. Sanskrit

3. Science

4. English

 

Ans: 1. Home Science

Solution:

Home Science → 100

 

Q8. Refer the green graph and answer the following question:

A survey was conducted in a class to see how many girls and boys like a particular ice cream flavour. Find the total

number of boys that like the flavour Vanilla, Strawberry and Lemon together?

1. 38

2. 35

3. 30

4. 29

Ans: 2. 35

Solution:

Number of boys who like vanilla flavour = 15

Number of boys who like strawberry flavour = 13

Number of boys who like Lemon flavour = 7

So, total = 15 + 13 + 7 = 35

Q9. Below is the data of the number of men and women in a village for different years. Now based on this data

answer the following MCQs with the correct option.

How many men were there in the village in 2010?

1. 500

2. 1500

3. 1000

4. 2000

Ans: 3. 1000

Solution:

There were 1000 men in the year 2010 in the village.

Q10. The line graph shows the yearly sales figure for a manufacturing company. From the graph, what were the sales in

2005?

1. Rs. 4 millions

2. Rs. 5 millions

3. Rs. 3 millions

4. Rs. 12 millions

 

Ans: 4. Rs. 12 millions

Q11. Observe the following circle-graph and answer the related questions:

On which head is the expenditure minimum?

1. Education

2. House rent

3. Food

4. Clothes

 

Ans: 1. Education

Solution:

The central angle is minimum for education.

Q12. Observe the following histogram and answer the related questions:

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

1. 0-5

2. 5-10

3. 20-25

4. 15-20

Ans: 3. 20-25

Solution:

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

Q13. Observe the following runs-over graph and answer the related questions:

In which over are the maximum runs scored?

1. II

2. IV

3. V

4. VI

 

Ans: 4. VI

Solution:

VI → 11

Q14. Tick the corect answer in the following:

The equation representing the y-axis is

1. x = 0

2. y = 0

3. x = a

4. y = a

 

Ans: 1. x = 0

Q15. Read the graph and answer the related questions:

In which year was the number of labourers minimum?

1. 2003

2. 2004

3. 2005

4. 2006

 

Ans: 4. 2006

Solution:

2006 → 100

Q16. Refer the given graph and answer the following question:

In which year/ years the difference between the numbers of cars manufactured by both the companies was

highest?

1. 1997

 

2. Both 1998 and 1999

3. Both 1997 and 1998

4. 2000

Ans: 3. Both 1997 and 1998

Solution:

For the year 1996, difference = 460 – 450 = 10

For the year 1997, difference = 460 – 440 = 20

For the year 1998, difference = 470 – 450 = 20

For the year 1999, difference = 450 – 440 = 10

For the year 2000, difference = 470 – 460 = 10

The highest difference in the number of cars is for the years 1997 and 1998 both.

Q17. Observe the diagram, given below and find the correct answer to the following MCQs.

Which team has the second-highest score?

1. Team 1

2. Team 4

3. Team 3

4. Team 2

 

Ans: 4. Team 2

Solution:

Team 2 has the second-highest score, equal to 32.7%.

Q18. Read the graph and answer the related questions:

How many books are of subject Home Science?

1. 100

2. 200

3. 300

4. 400

 

Ans: 1. 100

Solution:

Home Science → 100

Q19. Refer the given graph and answer the following question:

Which company manufactured the most number of cars for all 5 years together?

1. C1

2. C2

3. C1 manufactured 100 more than C2

4. C2 manufactured 100 more than C1

 

Ans: 2. C2

Solution:

Total number of cars manufactured by Company 1(C1)

= 460 + 440 + 450 + 440 + 470 = 2260

Total number of cars manufactured by Company 2(C2) = 450 + 460 + 470 + 450 + 460 = 2290

So, Company 2 manufactures most number of cars.

Q20. Read the circle graph and answer the related questions:

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

1. I and II

2. I and III

3. III and IV

4. I and IV

 

Ans: 3. III and IV

Solution:

Q21. Observe the following histogram and answer the related questions:

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

1. 100

2. 200

3. 300

4. 400

 

Ans: 1. 100

Solution:

0-5 → 100

5-10 → 200

200-100 = 100

Q22. Observe the following circle-graph and answer the related questions:

On which head is the expenditure maximum?

1. Food

2. Clothes

3. House rent

4. Education

 

Ans: 1. Food

III → 12 1%

2

IV → 12 1%

2

Solution:

The central angle is maximum for food.

Q23. Refer the given pie chart and answer the following question:

200 people are surveyed about the pet they own. Find the number of people who have cats as their pets.

1. 20

2. 40

3. 50

4. 30

 

Ans: 3. 50

Solution:

Since 200 people are surveyed and we need to find 25% of 200

So, 25% of 200

Therefore, 50 people have cats as their pets.

Q24. The point (-3, -3) is:

1. Nearer to x-axis.

2. Y-axis

3. Near to origin.

4. Equidistant from x-axis and y-axis.

 

Ans: 4. Equidistant from x-axis and y-axis.

Q25. Observe the following circle-graph and answer the related questions:

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

1. Rs. 1050

2. Rs. 1000

3. Rs. 950

4. Rs. 1200

 

Ans: 1. Rs. 1050

Solution:

Saving

Q26. Read the graph and answer the related questions:

The fall in interest from 2001 to 2002 was.

1. 1%

2. 2%

3. 3%

4. 4%

 

Ans: 2. 2%

Solution:

10 – 8 = 2

Q27. Observe the following temperature time graph and answer the related questions: At what time is the temperature maximum?

1. 13 hours

2. 15 hours

3. 11 hours

4. 19 hours

Ans: 1. 13 hours

Solution:

13 hours → 104ºF

Q28. The following graph shows the temperature forecast & the actual temperature for each day of a week. On the

basis of the graph, answer the following questions.

On which days was the forecast temperature the same as the actual temperature?

1. Monday, Tuesday.

2. Tuesday, Friday, Sunday.

3. Monday, Tuesday, Wednesday.

4. Tuesday, Saturday, Sunday.

 

Ans: 2. Tuesday, Friday, Sunday.

Q29. Which of the following points lies on y-axis?

1. (-4, 0)

2. (4, 0)

3. (0, -4)

4. (-4, 4)

 

Ans: 3. (0, -4)

Solution:

Clearly the point (0, 4) lies on y-axis, because it has zero x co-ordinate and y co-ordinate.

Q30. Find the coordinates of the point E from the graph.

1. (1, -1)

2. (-4, 5)

3. (0, -4)

4. None of these.

 

Ans: 1. (1, -1)

Q31. Observe the diagram, given below and find the correct answer to the following MCQs.

What is the average score of all the teams?

1. 22%

2. 27%

3. 29%

4. 25%

 

Ans: 4. 25%

Solution:

Average score = (sum of all scores)/(total number of scores)

Q32. Observe the following velocity-time graph and answer the related questions:

What is the fall in velocity from 7 to 11?

1. 80km/ hour

2. 90km/ hour

3. 100km/ hour

4. 20km/ hour

 

Ans: 4. 60km/ hour

Solution:

80 – 20 = 60

Q33. Find the distance covered in 5 seconds.

1. 25m

2. 10m

3. 20m

4. None of these.

 

Ans: 1. 25m

Q34. A graph that displays data that changes continuously over periods of time is:

1. Bar graph.

2. Pie chart.

3. Histogram.

4. Line graph.

 

Ans: 4. Line graph

Solution:

Line graph is an important way to represent and compare the data which varies continuously.

A line graph displays the relation between two varying quantities.

In a line graph, we connect all the points by a line segment while in bar graph and histogram, we use rectangles of uniform width.

Q35. Observe the following bar graph and answer the related questions:

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

1. 100

2. 200

3. 300

4. 400

 

Ans: 3. 300

Solution:

400 – 100 = 300

Q36. Observe the following bar graph and answer the related questions:

On which head/ heads, is the expenditure minimum?

1. Travelling allowance/ rent.

2. Appliances.

3. Salary of employees.

4. Others.

 

Ans: 1. Travelling allowance/ rent

Solution:

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

Q37. Read the graph and answer the related questions:

The maximum books are of which subject?

1. Hindi

2. Science

3. English

4. Sanskrit.

 

Ans: 1. Hindi

Solution:

Hindi → 600

Q38. A graph that displays data that changes continuously over periods of time is called:

1. Line Graph

2. Bar-graph

3. Pie-chart

4. Histograph

 

Ans: 1. Line Graph

Q39. Refer the given graph and answer the following question:

How many more push-ups are needed to be done on Thursday so that 1t equals the number of push-ups on

Wednesday?

1. 20

2. 25

3. 15

4. 10

 

Ans: 1. 20

Solution:

On thusday, it’s 5 push-ups. On Wednesday, it’s 25 push-ups. So we need 25 – 5 = 20 more push-ups.

Q40. Observe the diagram, given below and find the correct answer to the following MCQs.

Which team has the highest score?

1. Team 2

2. Team 3

3. Team 4

4. Team 1

 

Ans: 3. Team 4

Solution:

Team 4 has the highest score with 34.5%.

Q41. Refer the given pie chart and answer the following question:

200 people are surveyed about the pet they own. Find the central angle for fishes.

1. 54º

2. 30º

3. 50º

4. 90º

 

Ans: 1. 54º

Solution:

Since 200 people are surveyed and we need to find 15% of 200

So, 15% of 200

Therefore, 30 people have fishes as their pets.

Now, fraction of people who have fishes

Central angle

Q42. Read the graph and answer the related questions: 

= × 200 = 30 15

100

= 30

200

= 30 × 360 = 54∘

200

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

1. 350

2. 300

3. 250

4. 300

Ans: 1. 350

Q43. Observe the diagram, given below and find the correct answer to the following MCQs.

Which team is coloured green?

1. Team 1

2. Team 4

3. Team 2

4. Team 3

 

Ans: 4. Team 3

Q44. Read the graph and answer the related questions:

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

1. 700

2. 600

3. 200

4. 500

 

Ans: 1. 700

Solution:

2004 → 600

2006 → 100

600 + 100 = 700

Q45. In the given figure the position of the book on the table may be given by:

1. (7, 3)

2. (3, 7)

3. (3, 3)

4. (7, 7)

 

Ans: 2. (3, 7)

Solution:

The book is at a distance of 3 units from Y-axis and 7 units from X-axis.

Hence, the position of the book on the table is given by (3, 7).

Q46. (O, Y) are the co-ordinates of a point lying on which of the following? 

1. Origin

2. Y-axis

3. X-axis

4. None of these.

Ans: 2. Y-axis

Q47. A line graph which is a whole unbroken line is called a:

1. Pie-chart

2. Linear graph

3. Histograph

4. Bar-graph

 

Ans: 2. Linear graph

Q48. The point (-5, 2) is nearer to:

1. X-axis

2. Y-axis

3. Origin

4. None of the above.

 

Ans: 2. Y-axis

Q49. Find the distance covered in 6 seconds.

1. 30m

2. 35m

3. 25m

4. None of these.

 

Ans: 1. 30m

Q50. Refer the given pie chart and answer the following question:

If 20 people have rabbits as their pet. then how many people were surveyed?

1. 100

2. 150

3. 180

4. 200

 

Ans: 4. 200

Solution:

Number of people who have rebbits as per = 10%

This 10% represents 20 people.

So, 100% people

Therefore, 200 people were surveyed.

Q51. Refer the given graph and answer the following question: On which day the number of push-ups done was 0″ 

= = 200 20×100

10

1. Thursday

2. Friday

3. Saturday

4. Sunday

Ans: 3. Saturday

Solution:

From the graph. we can see that number of push-ups done on Saturday are 0.

Q52. The line graph shows the yearly sales figure for a manufacturing company. From the graph, what were the sales in

2006?

1. Rs. 8 millions

2. Rs. 4 millions

3. Rs. 3 millions

4. Rs. 5 millions

 

Ans: 1. Rs. 8 millions

Q53. The point (3, 0) lives on which of the following?

1. X-axis

2. Y-oxis

3. Origin

4. None of these.

 

Ans: 1. X-axis

Solution:

Given, (3, 0).

Since the y-coordinate is 0, the point clearly, lies on x-axis. Also, the x-coordinate 3 being positive, the point lies on the positive x-axis.

Q54. Observe the following temperature time graph and answer the related questions:

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

1. (0, 1)

2. (0, 0)

3. (1, 0)

4. (1, 1)

 

Ans: 1. (0, 1)

Q55. Pie chart is also known as _______.

1. Angular graph

2. Circle graph

3. Pie graph

4. Whole graph

 

Ans: 2. Circle graph

Solution:

Pie chart is also known as circle graph.

Q56. Tick the corect answer in the following:

In which of the following quadrants does the point (-7, -1) lie?

1. The x-axis.

2. The y-axis.

3. A line parallel to the y-axis.

4. A line parallel to the x-axis.

 

Ans: 4. A line parallel to the x-axis.

Q57. Which graph displays the data that changes continuously over periods of time?

1. Line graph

2. Circle graph

3. Bar graph

4. Hitogram

 

Ans: 1. Line graph

Solution:

Line graph displays the data that changes continuously over periods of time.

Q58. Below is the data of the number of men and women in a village for different years. Now based on this data

answer the following MCQs with the correct option.

In which year the population of women is the highest?

1. 2020

2. 2005

3. 2010

4. 2015

 

Ans: 1. 2020

Q59. Which graphs of the following represent the table below?

Length of Side of a Square 1 2 3 4 5

Perimeter 4 8 12 16 20

1.

2.

 

3.

4.

Ans: 4.

Solution:

Here, the lengths of sides of squares are represented on X-axis and their perimeters are represented on Y-axis.

The points are (1, 4), (2, 8), (3, 12), (4, 16) and (5, 20).

Now, observing all the 4 graphs carefully we see that these points lie on the graph (d).

Q60. Which point lies of y-axis?

1. (-2, 0)

2. (2, 0)

3. (0, -2)

4. (2, -2)

 

Ans: 3. (0, -2)

Q61. Observe the following velocity-time graph and answer the related questions:

At what time is the velocity maximum?

1. 7

2. 8

3. 9

4. 10

 

Ans: 1. 7

Solution:

7 → 100

Q62. In which quadrant does the point P (-4, 1) lie? 

1. III

2. II

3. I

4. IV

Ans: 2. II



 

 

 

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