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Data Handling — Class 8 MCQs with Answers

Class 8 CBSE Mathematics · Chapter 104

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 104, "Data Handling". 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 "Data Handling", 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 Data Handling, 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: Data Handling (Class 8 Mathematics)

This chapter covers organising and representing data through grouped frequency tables, histograms and pie charts, and introduces basic probability.

Organising data
Raw data is grouped into class intervals with frequencies to make it easier to interpret.
Histogram
A bar graph for grouped continuous data with no gaps between bars; the bar height shows frequency.
Pie chart
A circle divided into sectors; each sector's angle is proportional to its share of the total (out of 360°).
Probability
The chance of an event = (number of favourable outcomes)/(total number of outcomes); lies between 0 and 1.
1 more key concept, 2 formulas, exam tips free with sign-in.

Data Handling — 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

    Pie chart represents data using:

    A.Lines
    B.Sectors of a circle✓ Correct
    C.Bars
    D.Dots

    Answer: B. Sectors of a circle

    Explanation: Each sector ∝ frequency.

  2. Q2Easy

    Probability of head on a fair coin:

    A.0
    B.1
    C.1/2✓ Correct
    D.1/4

    Answer: C. 1/2

    Explanation: Two equally likely outcomes.

  3. Q3Easy

    In a bar graph of fruits sold, the bar for apples reaches 40 and the bar for mangoes reaches 25. How many apples were sold?

    A.25
    B.15
    C.65
    D.40✓ Correct

    Answer: D. 40

    Explanation: The height of the apple bar reads 40 directly off the scale.

  4. Q4Easy

    A fair die is rolled once. What is the probability of getting a number greater than 4?

    A.1/3✓ Correct
    B.1/2
    C.1/6
    D.2/3

    Answer: A. 1/3

    Explanation: Favourable outcomes are 5 and 6, so probability is 2/6 = 1/3.

  5. Q5Easy

    In a histogram, the bars are drawn:

    A.With gaps between them
    B.As circles
    C.As single lines
    D.Without any gaps between them✓ Correct

    Answer: D. Without any gaps between them

    Explanation: A histogram shows continuous class intervals, so bars touch with no gaps.

  6. Q6Easy

    A spinner has 4 equal sectors coloured red, blue, green and yellow. The probability of landing on blue is:

    A.1/4✓ Correct
    B.1/3
    C.1
    D.1/2

    Answer: A. 1/4

    Explanation: One favourable sector out of 4 equally likely sectors gives 1/4.

  7. Q7Medium

    Class width if classes are 10–20, 20–30:

    A.5
    B.20
    C.10✓ Correct
    D.30

    Answer: C. 10

    Explanation: Difference between class limits.

  8. Q8Medium

    P(getting 5 on a die):

    A.1/2
    B.1/6✓ Correct
    C.1/5
    D.5/6

    Answer: B. 1/6

    Explanation: One favourable out of 6.

  9. Q9Medium

    In a survey of 60 people about favourite drinks, 20 chose tea. What central angle should the tea sector get in a pie chart?

    A.120°✓ Correct
    B.60°
    C.90°
    D.20°

    Answer: A. 120°

    Explanation: (20 ÷ 60) × 360° = 120°.

  10. Q10Medium

    Cards numbered 1 to 25 are placed in a box. One card is drawn. What is the probability that the number is a multiple of 5?

    A.1/25
    B.1/4
    C.5/25
    D.1/5✓ Correct

    Answer: D. 1/5

    Explanation: Multiples of 5 are 5, 10, 15, 20, 25 — that is 5 out of 25, which simplifies to 1/5.

  11. Q11Medium

    In a grouped table the intervals are 0–10, 10–20, 20–30 with frequencies 8, 12 and 5. How many observations are there in all?

    A.25✓ Correct
    B.20
    C.15
    D.30

    Answer: A. 25

    Explanation: Total frequency is 8 + 12 + 5 = 25.

  12. Q12Hard

    If 25% of pie chart represents "sports", angle of that sector:

    A.45°
    B.90°✓ Correct
    C.60°
    D.120°

    Answer: B. 90°

    Explanation: 25% × 360° = 90°.

  13. Q13Hard

    P(even number on a die):

    A.1/2✓ Correct
    B.1/3
    C.2/3
    D.1/6

    Answer: A. 1/2

    Explanation: {2,4,6} → 3/6 = 1/2.

  14. Q14Hard

    A pie chart of 540 students shows Maths 150°, Science 120° and English 90°; the rest chose Sports. How many students chose Sports?

    A.150
    B.135
    C.90
    D.120✓ Correct

    Answer: D. 120

    Explanation: Sports takes 360° − (150° + 120° + 90°) = 80°, and (80 ÷ 360) × 540 = 120 students.

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Data Handling — FAQs

What are the key concepts in Class 8 Mathematics Data Handling?+

This chapter covers organising and representing data through grouped frequency tables, histograms and pie charts, and introduces basic probability. Key ideas include Organising data, Histogram, Pie chart, Probability.

What does Class 8 Mathematics Chapter 104 (Data Handling) cover on XamBaaz?+

It has 72 NCERT-based MCQs on "Data Handling": 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 "Data Handling" questions free to practise?+

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

How should I revise "Data Handling" 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 "Data Handling" 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 "Data Handling" 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 Data Handling (Class 8 Mathematics)?+

The questions that matter most test Organising data, Histogram, Pie chart, Probability. 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 Data Handling?+

Yes — Class 8 Mathematics Data Handling 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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