CBSE Class 10 Maths Board Exam 2027 Most Repeated Questions

CBSE Class 10 Maths Board Exam 2027 Most Repeated Questions

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Posted by June 11, 2026
CBSE Class 10 Maths Board Exam 2027 Most Repeated Questions | KotaPoint.in
📐 Class 10 Maths Focus 🔁 Most Repeated Questions ✅ June 2026 Updated 🎯 Score 90+ Strategy

CBSE Class 10 Maths Board Exam 2027
Most Repeated Questions

Chapter-wise most repeated and important questions for CBSE Class 10 Maths Board Exam 2027. Includes frequently asked 1-mark, 2-mark, 3-mark, 4-mark, and case-based questions with preparation tips to help you score 90+ marks.

📅 Updated: June 11, 2026 ✍️ KotaPoint Maths Team ⏱️ 13 min read 📍 Kota, Rajasthan
80+
Most Repeated Qs
12
Key Chapters
90+
Target Score
5
Question Types
Based on analysis of CBSE Class 10 Maths Board Papers (2022–2026) — Highly Repeated Questions

📐Why Most Repeated Questions Matter for CBSE Class 10 Maths Board 2027

CBSE Class 10 Maths Board Exam carries 80 marks in theory. Every year, a significant number of questions are repeated or asked in a similar pattern. Focusing on these most repeated questions gives you a huge advantage and helps you score 90+ marks with smart preparation.

Key Reality: In the last 5 years, more than 60% of questions in CBSE Class 10 Maths Board Exam have come from a set of 12 high-frequency chapters with repeated concepts and question types. Mastering these can easily get you 55–65+ marks.

🔥High Weightage & Most Repeated Chapters

These chapters have consistently contributed the highest number of questions in recent years.

Top Most Repeated Chapters:
• Real Numbers, Polynomials, Linear Equations in Two Variables
• Quadratic Equations, Arithmetic Progressions
• Triangles, Coordinate Geometry, Trigonometry
• Circles, Areas Related to Circles, Surface Areas & Volumes
• Statistics, Probability

📝Chapter-wise Most Repeated Questions

1. Real Numbers
1 Mark 2 Mark 3 Mark
  • Prove that √5 is an irrational number.
  • Find the HCF and LCM of 306 and 657 using prime factorisation method.
  • Prove that the square of any positive integer is of the form 3m or 3m+1.
  • Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
2. Polynomials
1 Mark 2 Mark 3 Mark
  • Find the zeroes of the quadratic polynomial x² – 2x – 8 and verify the relationship between zeroes and coefficients.
  • Find a quadratic polynomial whose zeroes are 5 and –3.
  • If α and β are the zeroes of the polynomial 2x² – 5x + 7, find the value of α² + β².
  • Divide the polynomial p(x) = x⁴ – 3x² + 4x + 5 by g(x) = x² – x + 1 and find the quotient and remainder.
3. Quadratic Equations
2 Mark 3 Mark 4 Mark
  • Solve the quadratic equation 2x² – 7x + 3 = 0 by factorisation method.
  • Find the roots of the equation x² – 4x + 3 = 0 by the method of completing the square.
  • The sum of the squares of two consecutive natural numbers is 145. Find the numbers.
  • A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
4. Arithmetic Progressions
2 Mark 3 Mark 4 Mark
  • Find the 10th term of the AP: 2, 7, 12, …
  • Which term of the AP: 3, 8, 13, 18, … is 78?
  • The sum of first 7 terms of an AP is 49 and that of first 17 terms is 289. Find the sum of first n terms.
  • The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.
5. Triangles
2 Mark 3 Mark 4 Mark
  • Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
  • In a triangle ABC, DE || BC. If AD = 4 cm, AB = 12 cm and AE = 5 cm, find EC.
  • Prove that if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides those sides in the same ratio.
  • State and prove Basic Proportionality Theorem (Thales Theorem).
6. Introduction to Trigonometry & Applications
1 Mark 2 Mark 3 Mark 4 Mark
  • If tan θ = 3/4, find the value of sin θ and cos θ.
  • Prove that: (sin θ – cos θ + 1) / (sin θ + cos θ – 1) = 1 / (sec θ – tan θ)
  • Evaluate: 2 tan² 45° + cos² 30° – sin² 60°
  • A ladder leaning against a wall makes an angle of 60° with the ground. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder.
7. Circles
2 Mark 3 Mark 4 Mark
  • Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
  • Prove that the lengths of tangents drawn from an external point to a circle are equal.
  • In the given figure, if PA and PB are tangents from an external point P, prove that ∠APB = 180° – ∠AOB.
  • Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that ∠PTQ = 2∠OPQ.
8. Surface Areas and Volumes
2 Mark 3 Mark 4 Mark
  • A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
  • A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
  • A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
9. Statistics & Probability
2 Mark 3 Mark 4 Mark
  • Find the mean, mode and median for the following data.
  • The following distribution shows the daily pocket allowance of children of a locality. Find the mean pocket allowance using assumed mean method.
  • A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.
  • Two dice are thrown simultaneously. Find the probability of getting: (i) a doublet (ii) a sum of 7.

📌Types of Questions in CBSE Class 10 Maths Board Exam

1
1 Mark Questions (MCQ / Fill in the blanks)
Direct and conceptual. Usually test basic understanding or formula application.
2
2 Mark Questions
Short answer type. Require brief explanation or simple calculation with steps.
3
3 Mark Questions
Require proper steps, diagrams (where needed), and clear working. Most common type.
4
4 Mark / Case-based Questions
Application-based or case study type. Test deeper understanding and problem-solving ability.

💡How to Prepare & Answer Most Repeated Questions

1
Practice Writing Steps
Even for repeated questions, always write all steps clearly. CBSE gives step marks.
2
Focus on Diagrams
In Geometry and Mensuration, neat and labelled diagrams can fetch extra marks.
3
Revise Formulas Daily
Make a formula sheet and revise it every day in the last 30 days.
4
Solve Previous Year Papers
Most repeated questions often come from previous 5–7 years papers in some form.

✅Interactive Practice Tracker — Mark Questions You Have Practiced

Check the chapters/questions you have practiced. Track your preparation for repeated questions.

🎯 Your Class 10 Maths Repeated Questions Practice

0%
Practice Completed
Board Readiness

📅30-Day Class 10 Maths Board Revision Plan

Recommended Schedule:
• Days 1–10: Revise all formulas + solve most repeated questions from each chapter
• Days 11–20: Solve previous 5 years board papers + sample papers
• Days 21–30: Focus on weak chapters + full mock tests + quick revision

📚Best Resources for CBSE Class 10 Maths Board Exam

Must Practice Resources:
• NCERT Class 10 Maths Textbook (All examples & exercises)
• NCERT Exemplar Problems
• Previous 5–7 Years CBSE Board Papers
• CBSE Official Sample Papers (Latest Pattern)
• One good reference book (RD Sharma / RS Aggarwal) for extra practice

❓Frequently Asked Questions

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Disclaimer: These most repeated questions are based on analysis of previous CBSE Class 10 Maths papers. Students must also thoroughly practice NCERT and official sample papers.