CBSE Class 10 Maths Question Bank: Important Questions for Statistics and Probability 2026
- Feb 17
- 5 min read
The CBSE Class 10 Maths Question Bank for the academic year 2025–26 is the most critical resource for students aiming to secure a perfect 100/100. As the 2026 board exams approach, the Central Board of Secondary Education (CBSE) has shifted its focus toward competency-based learning. This means your preparation for high-weightage units like Statistics and Probability must go beyond rote memorization of formulas.
Statistics and Probability together carry a significant weightage of 11 marks in the theory paper. Whether you are appearing for Maths Basic or Maths Standard, these chapters are often considered "scoring" because they follow a predictable pattern of questions. In this comprehensive guide, we provide a structured question bank, previous year analysis, and official resources to streamline your revision.
Why Statistics and Probability are Scoring Chapters
For many students, these two chapters are the "safety net." While Algebra and Geometry can sometimes present tricky, multi-step logical hurdles, Statistics and Probability are largely procedural. If you understand the core concepts and maintain calculation accuracy, these 11 marks are virtually guaranteed.
Statistics: Focuses on Grouped Data, specifically finding the Mean, Median, and Mode.
Probability: Centers on Theoretical Probability, coins, dice, and deck of cards.
CBSE Class 10 Maths Question Bank: Statistics Important Questions
The Statistics chapter in Class 10 involves dealing with grouped frequency distributions. Based on the analysis of the last 10 years of CBSE previous year questions (PYQs), here are the most repeated question types.
1. Mean of Grouped Data
The Board frequently asks questions on finding the mean using different methods. While the Direct Method is common for smaller values, the Assumed Mean Method is preferred for larger data sets to avoid calculation errors.
Most Repeated Question: Finding the "Missing Frequency" when the Mean is already provided.
2. Mode of Grouped Data
Questions on Mode are typically direct but require a keen eye for identifying the "Modal Class" (the class with the highest frequency).
Key Focus: Ensure you know how to handle "inclusive" class intervals by converting them to "exclusive" (continuous) forms first.
3. Median and Cumulative Frequency
The Median is the middle-most value, and its calculation involves finding the "Median Class" using cumulative frequency (cf).
Imp Question: Relationship between Mean, Median, and Mode (Empirical Formula).
Case-Based Question: Often, the board provides a "Less than" or "More than" type cumulative frequency table and asks you to find the Median.
CBSE Class 10 Maths Question Bank: Probability Important Questions
Probability is the study of uncertainty. In the CBSE Class 10 Maths Question Bank, this chapter is usually tested through MCQs, Short Answers, and occasionally Case-Study based questions.
1. Playing Cards (Deck of 52)
This is a favorite for examiners. You must be thorough with the composition of a deck:
Total Face Cards (12)
Red Face Cards (6) vs. Black Face Cards (6)
Specific suits: Spades, Hearts, Diamonds, Clubs.
2. Tossing Coins and Throwing Dice
Two Coins: Total outcomes = 4. Frequently asked: "At least one head" or "At most one tail."
Two Dice: Total outcomes = 36. Frequently asked: "Sum of numbers is a prime number" or "Getting a doublet."
3. Complementary Events
Understanding that the sum of the probability of an event and its complement is always 1 (P(E) + P(\text{not } E) = 1) is vital for 1-mark objective questions.
Official Links for CBSE Question Banks and Resources
To ensure you are practicing the right content, always refer to official sources. The CBSE Class 10 Maths Question Bank and additional practice sets are released by the board to familiarize students with the difficulty level.
CBSE Academic Website (Question Bank Section): https://cbseacademic.nic.in/
Direct Access to CBSE Question Bank: https://www.cbse.gov.in/cbsenew/question_bank.html
Maharashtra State Board (For reference): Students appearing for HSC OCM or secondary exams can also find relevant question banks on the SCERT website.
Essential Formula to Remember
In your CBSE Class 10 Maths Question Bank preparation, you don't just need the formulas; you need to know when to use them. For the 2026 exam, ensure you have mastered the following:
Direct Method Formula (For Mean)
Assumed Mean Method Formula (For Mean)
Step-Deviation Method Formula (Note: Check the latest 2026 syllabus for deletions)
Mode of Grouped Data Formula
Median of Grouped Data Formula
Empirical Relationship between Mean, Median, and Mode
Theoretical Probability Formula
Preparation Strategy for 2026 Board Exams
Scoring high in Mathematics requires a blend of speed and precision. Follow these steps to maximize your result:
NCERT First: 80% of the board paper is directly or indirectly based on NCERT examples and exercises. Complete these before touching any reference book.
Analyze PYQs: Solving the last 5 years of papers will show you that the "Missing Frequency" question in Statistics appears almost every alternate year.
Step-Wise Marking: CBSE awards marks for every step. Even if your final calculation is wrong, you can get 3 out of 4 marks if your steps and formulas are correct.
Time Management: Dedicate no more than 15 minutes to the Probability section. Use the saved time for lengthy Statistics calculations or Geometry proofs.
Conclusion
Preparing with a dedicated CBSE Class 10 Maths Question Bank is the smartest way to tackle the 2026 board exams. By focusing on the high-weightage sections of Statistics and Probability, you build a strong foundation for your overall score. Remember to focus on conceptual clarity, practice official sample papers, and keep your calculation work neat. Success in boards is not just about hard work; it's about practicing the right questions.
FAQs on CBSE Class 10 Maths Question Bank
Q1. Where can I download the official CBSE Class 10 Maths Question Bank for 2026?
You can download the official question bank from the CBSE Academic website (cbseacademic.nic.in) under the "Question Bank" tab. It contains competency-focused questions designed for the 2026 pattern.
Q2. Are Statistics and Probability high-weightage chapters?
Yes, together they carry 11 marks out of 80. They are considered high-yield because the questions are less complex compared to Algebra or Trigonometry.
Q3. What is the most important question in Statistics Class 10?
The most important and repeated question is finding the "missing frequency" (f1 and f2) when the Mean or Median of the distribution is given.
Q4. How many hours should I dedicate to the CBSE Class 10 Maths Question Bank?
Consistency is key. Dedicate at least 1 hour daily to solving 10–15 varied questions from the question bank to build stamina for the 3-hour exam.
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