CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 28

Practice MCQs for Class 8 Mathematics Chapter 15 Introduction to Graphs

Review structured MCQ sets for Class 8 Mathematics Chapter 15 Introduction to Graphs. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Access Chapter 15 Introduction to Graphs Questions and Solutions

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Multiple Choice Questions

Question 1: Points (-3, 0), (-3, 1), (-3, 2), (-3, 5) and (-3, -2) are joined. The figure formed is:
(a) a line parallel to the x-axis
(b) a line parallel to the y-axis
(c) a triangle
(d) a rectangle
Show Answer & Explanation

Answer: (b) a line parallel to the y-axis

Explanation:
1. All points have the same x-coordinate, -3, so they lie on the vertical line x = -3.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 2: Points (5, 2), (3, 2), (0, 2), (-3, 2) and (-1, 2) are joined. The figure formed is:
(a) a line parallel to the y-axis
(b) a line parallel to the x-axis
(c) a right-angled triangle
(d) a parallelogram
Show Answer & Explanation

Answer: (b) a line parallel to the x-axis

Explanation:
1. All points have y = 2, so they lie on a horizontal line.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 3: The points (2, -2), (8, 4), (5, 7) and (-1, 1), taken in this order, are the vertices of a:
(a) square
(b) trapezium
(c) rectangle
(d) parallelogram that is not a rectangle
Show Answer & Explanation

Answer: (c) rectangle

Explanation:
1. Sides: (6, 6), (-3, 3), (-6, -6), (3, -3).
2. Opposite sides are equal and parallel, and adjacent sides are perpendicular (6x(-3) + 6x3 = 0), but lengths 6 sqrt 2 and 3 sqrt 2 differ, so it is a rectangle.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 4: The points (3, 0), (6, 4) and (-1, 3) form a:
(a) equilateral triangle
(b) straight line
(c) isosceles triangle with no right angle
(d) right-angled triangle
Show Answer & Explanation

Answer: (d) right-angled triangle

Explanation:
1. Vectors from (3, 0): (3, 4) and (-4, 3); their dot product is -12 + 12 = 0.
2. So the angle at (3, 0) is a right angle.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 5: In which of the following is time the independent variable?
(a) Time taken as speed increases
(b) Interest earned on a deposit as time increases
(c) Perimeter of a polygon as its sides increase
(d) Area of a circle as its radius increases
Show Answer & Explanation

Answer: (b) Interest earned on a deposit as time increases

Explanation:
1. Time affects the amount of interest, so time is independent and interest is dependent.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 6: As the length of the sides of a square increases, its perimeter increases. Here the dependent variable is:
(a) the area of the plane
(b) the number of sides
(c) the length of the side
(d) the perimeter
Show Answer & Explanation

Answer: (d) the perimeter

Explanation:
1. The perimeter depends on the side length, so it is the dependent variable.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 7: A line graph is used to show data that:
(a) compares only two categories
(b) changes continuously over a period of time
(c) shows parts of a whole
(d) is divided into class intervals
Show Answer & Explanation

Answer: (b) changes continuously over a period of time

Explanation:
1. A line graph joins points by line segments to show how a quantity changes over time.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 8: A pie chart is used to:
(a) show frequencies of class intervals
(b) plot points on axes
(c) show change over time
(d) compare parts of a whole
Show Answer & Explanation

Answer: (d) compare parts of a whole

Explanation:
1. The circle represents the whole and each sector represents a part.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 9: In the temperature data (Jan 15, Feb 18, Mar 24, Apr 32, May 39, Jun 40 degrees C), in which month was the rise over the previous month the greatest?
(a) June
(b) May
(c) March
(d) April
Show Answer & Explanation

Answer: (d) April

Explanation:
1. Rises: Feb 3, Mar 6, Apr 8, May 7, Jun 1.
2. The greatest rise (8) is in April.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 10: The weights of a person at ages 10, 12, 14, 16, 18, 20 years are 25, 28, 33, 41, 45, 56 kg. In which two-year period did the weight increase the most?
(a) 18 to 20 years
(b) 14 to 16 years
(c) 16 to 18 years
(d) 12 to 14 years
Show Answer & Explanation

Answer: (a) 18 to 20 years

Explanation:
1. Increases: 3, 5, 8, 4, 11.
2. The greatest, 11 kg, is from 18 to 20 years.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 11: From the same data (ages 10, 12, ..., 20 with weights 25, 28, 33, 41, 45, 56 kg), the total gain in weight from age 10 to age 20 is:
(a) 56 kg
(b) 31 kg
(c) 11 kg
(d) 25 kg
Show Answer & Explanation

Answer: (b) 31 kg

Explanation:
1. 56 - 25 = 31 kg.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 12: The population (in lakh) in 1970, 1980, 1990, 2000, 2010 was 16, 20, 23, 27, 32. Assuming uniform growth between 1990 and 2000, the population in 1995 was:
(a) 24 lakh
(b) 27 lakh
(c) 23 lakh
(d) 25 lakh
Show Answer & Explanation

Answer: (d) 25 lakh

Explanation:
1. Midway between 23 and 27 lakh is (23 + 27)/2 = 25 lakh.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 13: The population (in lakh) in 1970, 1980, 1990, 2000, 2010 was 16, 20, 23, 27, 32. In which decade did the population grow the most?
(a) 2000 to 2010
(b) 1970 to 1980
(c) 1990 to 2000
(d) 1980 to 1990
Show Answer & Explanation

Answer: (a) 2000 to 2010

Explanation:
1. Growth: 4, 3, 4, 5.
2. The largest growth, 5 lakh, is from 2000 to 2010.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 14: The number of workers in a factory in 1998, 2000, 2002, 2004, 2006, 2008 was 220, 260, 340, 480, 600, 800. Assuming uniform change between consecutive points, in which year was the number of workers 300?
(a) 2002
(b) 2001
(c) 2003
(d) 2000
Show Answer & Explanation

Answer: (b) 2001

Explanation:
1. Between 2000 (260) and 2002 (340) the number rises by 80 in 2 years, i.e. 40 per year.
2. 260 + 40 = 300 in 2001.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 15: A patient's temperature was 37 degrees at 8 am and 37.2 degrees at 10 am. Assuming a straight-line change, the temperature at 9 am was:
(a) 37.1 degrees
(b) 37.5 degrees
(c) 37.2 degrees
(d) 37.0 degrees
Show Answer & Explanation

Answer: (a) 37.1 degrees

Explanation:
1. 9 am is halfway between 8 am and 10 am.
2. (37 + 37.2)/2 = 37.1.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 16: A patient's temperature was 38 degrees at 2 pm and 39.2 degrees at 8 pm. Assuming a straight-line change, the temperature at 5 pm was:
(a) 38.5 degrees
(b) 38.8 degrees
(c) 38.6 degrees
(d) 39.0 degrees
Show Answer & Explanation

Answer: (c) 38.6 degrees

Explanation:
1. 5 pm is halfway between 2 pm and 8 pm.
2. (38 + 39.2)/2 = 38.6.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 17: A pie chart has sectors of angles A 110, B 28, C 70, D 100 and E 52 degrees. The sector with the maximum expenditure is:
(a) D
(b) B
(c) A
(d) C
Show Answer & Explanation

Answer: (c) A

Explanation:
1. The largest angle, 110 degrees, belongs to A.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 18: In the pie chart with angles A 110, B 28, C 70, D 100, E 52 degrees, the sector with the minimum expenditure is:
(a) B
(b) E
(c) A
(d) C
Show Answer & Explanation

Answer: (a) B

Explanation:
1. The smallest angle, 28 degrees, belongs to B.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 19: In the pie chart with angles A 110, B 28, C 70, D 100, E 52 degrees, if the total expenditure is Rs 270000, the expenditure on A is:
(a) Rs 75000
(b) Rs 82500
(c) Rs 110000
(d) Rs 30000
Show Answer & Explanation

Answer: (b) Rs 82500

Explanation:
1. 1 degree = 270000/360 = Rs 750.
2. A = 110 x 750 = Rs 82500.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 20: In the same data (classes 6 to 10 with 216, 156, 136, 132, 80 students), the central angle for class 10 is:
(a) 80 degrees
(b) 40 degrees
(c) 66 degrees
(d) 20 degrees
Show Answer & Explanation

Answer: (b) 40 degrees

Explanation:
1. 80 x 0.5 = 40 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 21: In the same data (classes 6 to 10 with 216, 156, 136, 132, 80 students), the central angle for class 7 is:
(a) 156 degrees
(b) 68 degrees
(c) 78 degrees
(d) 108 degrees
Show Answer & Explanation

Answer: (c) 78 degrees

Explanation:
1. 156 x 0.5 = 78 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 22: Marks in Hindi, Maths, Science, English and S.St. are 140, 180, 160, 126 and 114. In a pie chart the central angle for Maths is:
(a) 90 degrees
(b) 180 degrees
(c) 70 degrees
(d) 80 degrees
Show Answer & Explanation

Answer: (a) 90 degrees

Explanation:
1. Total = 720 marks, so 1 mark = 0.5 degree.
2. Maths = 180 x 0.5 = 90 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 23: In the same marks data (140, 180, 160, 126, 114), the central angle for English is:
(a) 63 degrees
(b) 57 degrees
(c) 70 degrees
(d) 126 degrees
Show Answer & Explanation

Answer: (a) 63 degrees

Explanation:
1. 126 x 0.5 = 63 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 24: In the same marks data (140, 180, 160, 126, 114), the central angles for Hindi and Science together are:
(a) 160 degrees
(b) 300 degrees
(c) 150 degrees
(d) 120 degrees
Show Answer & Explanation

Answer: (c) 150 degrees

Explanation:
1. Hindi = 70 degrees and Science = 80 degrees.
2. Together 150 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 25: In the same expenditure data (40%, 30%, 15%, 10%, 5%), the central angle for education is:
(a) 144 degrees
(b) 54 degrees
(c) 30 degrees
(d) 108 degrees
Show Answer & Explanation

Answer: (d) 108 degrees

Explanation:
1. 30 x 3.6 = 108 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 26: In the same expenditure data (40%, 30%, 15%, 10%, 5%), the central angles for house rent, entertainment and others together are:
(a) 54 degrees
(b) 30 degrees
(c) 144 degrees
(d) 108 degrees
Show Answer & Explanation

Answer: (d) 108 degrees

Explanation:
1. House rent 54, entertainment 36, others 18 degrees.
2. Together 30% = 108 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 27: In the same expenditure data (40%, 30%, 15%, 10%, 5%), the central angle for entertainment is:
(a) 54 degrees
(b) 36 degrees
(c) 18 degrees
(d) 10 degrees
Show Answer & Explanation

Answer: (b) 36 degrees

Explanation:
1. 10 x 3.6 = 36 degrees.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

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Practice MCQs for Class 8 Mathematics Chapter 15 Introduction to Graphs

About Chapter 15 Introduction to Graphs MCQs for Class 8 Mathematics

Test your conceptual understanding of Chapter 15 Introduction to Graphs with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 8 Mathematics, these problem sets build accuracy and prepare students for objective exams.

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FAQs

Where can I access latest CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 28?

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