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CBSE Class 10 Maths Formula Sheet 2026 – Chapter-wise PDF for Quick Revision

By Karan Singh Bisht

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Updated on 9 Feb 2026, 13:20 IST

The CBSE Class 10 Maths formula sheet is the most effective tool for last-minute revision before board exams. Instead of revising entire chapters, students can quickly recall important concepts by going through formulas that are frequently used in the exam. Below is a chapter-wise list of important formulas that every Class 10 student must revise before the exam.

Why Are Formula Sheets Important for CBSE Class 10 Maths?

Formula sheets help students:

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  • Revise key concepts quickly before the CBSE board exam.
  • Avoid confusion between similar formulas
  • Improve speed and accuracy during problem-solving
  • Gain confidence in high-weightage chapters
  • Perform better in numerical and application-based questions

Many questions in the Maths exam are directly based on formulas, especially in chapters like Trigonometry, Geometry, and Mensuration.

What Does a CBSE Class 10 Maths Formula Sheet Include?

A well-prepared formula sheet usually covers:

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1. Real Numbers

  • Euclid’s Division Lemma:

a = bq + r, where 0 ≤ r < b
  • HCF × LCM = Product of two numbers
  • 2. Polynomials

    • For a quadratic polynomial ax² + bx + c:
      • Sum of zeroes:−b/a
      • Product of zeroes:c/a

    3. Pair of Linear Equations in Two Variables

    • General form:

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    a1x + b1y + c1 = 0
    a2x + b2y + c2 = 0
  • Consistency condition:
    • a1/a2 ≠ b1/b2 → Unique solution
    • a1/a2 = b1/b2 = c1/c2 → Infinite solutions
    • a1/a2 = b1/b2 ≠ c1/c2 → No solution
  • 4. Quadratic Equations

    • Standard form: ax² + bx + c = 0
    • Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a
    • Discriminant: D = b² − 4ac

    5. Arithmetic Progressions (AP)

    • nth term: an = a + (n − 1)d
    • Sum of first n terms: Sn = n/2 [2a + (n − 1)d]

    6. Triangles

    • Pythagoras theorem: a² + b² = c²
    • Area of similar triangles: Ratio of areas = square of ratio of corresponding sides

    7. Coordinate Geometry

    • Distance formula: √((x2 − x1)² + (y2 − y1)²)
    • Section formula (internal): ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))
    • Area of triangle: 1/2 |x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)|

    8. Trigonometry

    Trigonometric Ratios

    • sin θ = Opposite / Hypotenuse
    • cos θ = Adjacent / Hypotenuse
    • tan θ = Opposite / Adjacent

    Trigonometric Identities

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    • sin²θ + cos²θ = 1
    • 1 + tan²θ = sec²θ
    • 1 + cot²θ = cosec²θ

    9. Heights and Distances

    • Use trigonometric ratios: tan θ = Height / Distance

    10. Circles

    • Circumference: 2πr
    • Area: πr²
    • Length of tangent from external point: √(l² − r²)

    11. Constructions

    • Division of line segment internally in ratio m:n
    • Construction of tangents to a circle

    (No formulas here, but steps are important.)

    • Area of sector: (θ/360°) × πr²
    • Length of arc: (θ/360°) × 2πr

    13. Surface Areas and Volumes

    Cylinder

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    • CSA: 2πrh
    • TSA: 2πr(h + r)

    Cone

    • Slant height:l = √(r² + h²)
    • CSA: πrl

    Sphere

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    • Surface area: 4πr²
    • Volume: (4/3)πr³

    14. Statistics

    • Mean (grouped data): x̄ = (Σ fixi) / (Σ fi)

    15. Probability

    • Probability: P(E) = (Number of favourable outcomes) / (Total outcomes)

    How to Use the Formula Sheet Effectively Before the Exam?

    To make the most of a formula sheet, students should:

    • Revise formulas daily during the last week
    • Practice 2–3 questions per formula
    • Focus more on commonly asked formulas
    • Memorise formulas but also understand their application
    • Avoid learning new formulas at the last minute

    Using formula sheets along with previous year questions gives the best results.

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    Last-Minute Tips for Maths Formula Revision

    • Revise the formula sheet once in the morning and once before sleeping
    • Mark formulas you often forget and revise them again
    • Do not panic—most questions are direct or application-based
    • Keep the formula sheet handy for quick glances, not deep study

    A strong grip on formulas can easily help students score 10–15 extra marks in the Maths paper.

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    FAQs on CBSE Class 10 Maths Formula Sheet

    What is the CBSE Class 10 Maths formula sheet and why is it important?

    The CBSE Class 10 Maths formula sheet is a compiled list of all important formulas from each chapter. It is important because many board exam questions are directly formula-based, and revising formulas helps students save time, avoid mistakes, and score better.

    Which chapters are most important in the CBSE Class 10 Maths formula sheet?

    High-weightage chapters in the CBSE Class 10 Maths formula sheet include Trigonometry, Arithmetic Progressions, Surface Areas and Volumes, Statistics, and Geometry. These chapters contribute a significant number of marks and require strong formula recall.

    Where can students download the CBSE Class 10 Maths formula sheet PDF?

    Students can download the CBSE Class 10 Maths formula sheet PDF from trusted educational platforms and CBSE-aligned websites. Many platforms also provide chapter-wise and exam-ready formula sheets for quick revision before the board exam.

    Is the CBSE Class 10 Maths formula sheet different for Maths Basic and Maths Standard?

    The CBSE Class 10 Maths formula sheet is mostly the same for both Maths Basic and Maths Standard. However, Maths Standard includes a few advanced applications of formulas, so students opting for Standard should practice deeper problem-solving using the same formulas.

    How should students use the CBSE Class 10 Maths formula sheet for last-minute revision?

    For last-minute revision, students should revise the CBSE Class 10 Maths formula sheet 2-3 times daily, focus on frequently asked formulas, and solve at least one question per formula. This approach boosts confidence and improves speed during the exam.