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Introduction to Graphs — Class 8 MCQs with Answers

Class 8 CBSE Mathematics · Chapter 113

Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →

72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated

Practise the most important Class 8 CBSE Mathematics questions from Chapter 113, "Introduction to Graphs". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that set top scorers in CBSE Board exams apart.

To score well in "Introduction to Graphs", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This trains you to stay accurate under time pressure, as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.

Use this chapter for focused revision. Start with the Easy set to check your basics on Introduction to Graphs, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.

Key concepts: Introduction to Graphs (Class 8 Mathematics)

This chapter covers reading and drawing different graphs and plotting points on the Cartesian plane, including linear graphs.

Types of graphs
Bar graphs, pie charts, histograms and line graphs each suit different kinds of data.
Cartesian plane
Two perpendicular axes (x and y) meeting at the origin; a point is located by coordinates (x, y).
Plotting points
Move x units along the x-axis, then y units parallel to the y-axis to mark (x, y).
Linear graph
A graph that is a straight line; it represents a relationship of constant rate between two quantities.
1 more key concept, exam tips free with sign-in.

Introduction to Graphs — important questions & MCQs with answers (Class 8 Mathematics)

14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 58 are timed and scored when you sign in.

  1. Q1Easy

    Origin is the point:

    A.(0, 1)
    B.(1, 1)
    C.(0, 0)✓ Correct
    D.(1, 0)

    Answer: C. (0, 0)

    Explanation: Intersection of x and y axes.

  2. Q2Easy

    In a bar graph, the heights of the bars represent the:

    A.colour of the bars
    B.number of bars
    C.width of the page
    D.value or frequency of each item✓ Correct

    Answer: D. value or frequency of each item

    Explanation: Bar height shows the quantity for each category.

  3. Q3Easy

    Horizontal axis is called:

    A.origin
    B.y-axis
    C.z-axis
    D.x-axis✓ Correct

    Answer: D. x-axis

    Explanation: Vertical = y-axis.

  4. Q4Easy

    A graph that shows how a quantity changes continuously over time is best called a:

    A.pie chart
    B.line graph✓ Correct
    C.pictograph
    D.bar graph

    Answer: B. line graph

    Explanation: Line graphs are used for data that changes continuously, such as temperature over time.

  5. Q5Easy

    In the point (4, 7), the number 4 is called the:

    A.slope
    B.x-coordinate (abscissa)✓ Correct
    C.origin
    D.y-coordinate (ordinate)

    Answer: B. x-coordinate (abscissa)

    Explanation: The first number gives the horizontal distance and is the x-coordinate or abscissa.

  6. Q6Easy

    On a distance–time line graph, a horizontal (flat) part of the line means the object is:

    A.moving fastest
    B.speeding up
    C.at rest✓ Correct
    D.moving backward

    Answer: C. at rest

    Explanation: If distance does not change while time passes, the object is stationary.

  7. Q7Medium

    A point of the form (x, 0) always lies:

    A.in the first quadrant only
    B.on the x-axis✓ Correct
    C.at the origin only
    D.on the y-axis

    Answer: B. on the x-axis

    Explanation: When the y-coordinate is 0 the point lies on the x-axis for any value of x.

  8. Q8Medium

    Point (3, 5) lies in:

    A.Third
    B.Second
    C.First quadrant✓ Correct
    D.Fourth

    Answer: C. First quadrant

    Explanation: Both x>0 and y>0.

  9. Q9Medium

    A point of the form (0, y) with y > 0 lies:

    A.on the positive x-axis
    B.at the origin
    C.in the first quadrant
    D.on the positive y-axis✓ Correct

    Answer: D. on the positive y-axis

    Explanation: An x-coordinate of 0 with positive y places the point on the upper y-axis.

  10. Q10Medium

    Graph of y = x is:

    A.A straight line through origin at 45°✓ Correct
    B.A circle
    C.A parabola
    D.Horizontal line

    Answer: A. A straight line through origin at 45°

    Explanation: Slope 1, intercept 0.

  11. Q11Medium

    In which quadrant does the point (2, 8) lie, and what shape do (2, 8), (2, 0) and (0, 8) help locate?

    A.First quadrant✓ Correct
    B.Second quadrant
    C.On the x-axis
    D.At the origin

    Answer: A. First quadrant

    Explanation: Both coordinates of (2, 8) are positive, so it lies in the first quadrant.

  12. Q12Hard

    Point on x-axis has:

    A.x = y
    B.x = 0
    C.y = 0✓ Correct
    D.x + y = 0

    Answer: C. y = 0

    Explanation: Lies on x-axis.

  13. Q13Hard

    If y = 2x, then when x = 5, y =

    A.10✓ Correct
    B.7
    C.5
    D.2

    Answer: A. 10

    Explanation: Substitute: y = 10.

  14. Q14Hard

    Which statement about coordinates is INCORRECT?

    A.Every point on the y-axis has x = 0
    B.Every point on the x-axis has y = 0
    C.(3, 0) and (0, 3) are different points
    D.The point (0, 0) lies only on the x-axis✓ Correct

    Answer: D. The point (0, 0) lies only on the x-axis

    Explanation: The origin (0, 0) lies on both axes, not only the x-axis, so that statement is incorrect.

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Introduction to Graphs — FAQs

What are the key concepts in Class 8 Mathematics Introduction to Graphs?+

This chapter covers reading and drawing different graphs and plotting points on the Cartesian plane, including linear graphs. Key ideas include Types of graphs, Cartesian plane, Plotting points, Linear graph.

What does Class 8 Mathematics Chapter 113 (Introduction to Graphs) cover on XamBaaz?+

It has 72 NCERT-based MCQs on "Introduction to Graphs": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.

Are these "Introduction to Graphs" questions free to practise?+

Yes. Sign in with Google to practise "Introduction to Graphs" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.

How should I revise "Introduction to Graphs" for the exam?+

Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.

Are these "Introduction to Graphs" MCQs available with answers?+

Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.

Is there negative marking in the "Introduction to Graphs" quizzes?+

Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.

What are the important questions from Introduction to Graphs (Class 8 Mathematics)?+

The questions that matter most test Types of graphs, Cartesian plane, Plotting points, Linear graph. This page shows 14 solved important MCQs with answers and explanations; all 72 questions on the chapter are available as timed quizzes once you sign in.

Is there an online quiz for Introduction to Graphs?+

Yes — Class 8 Mathematics Introduction to Graphs has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.

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