CBSE Class 10 Maths Important Questions 2026-27
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CBSE Class 10 Mathematics important questions, 2026-27
These are not guesses. We counted the marks of every chapter across 42 real CBSE board papers (2023 to 2026) and found the questions that were asked again in a later year. Use them to decide where to spend your time first.
A question that came before is not a promise it will come again; the paper changes every year. This is a guide to what the board has valued, from the papers themselves.
Chapters by marks in past board papers
- 1. Triangles10% of all marks · about 8.2 marks a paper
- 2. Circles9% of all marks · about 7.2 marks a paper
- 3. Introduction to Trigonometry8% of all marks · about 6.7 marks a paper
- 4. Coordinate Geometry7% of all marks · about 6.0 marks a paper
- 5. Real Numbers7% of all marks · about 6.0 marks a paper
- 6. Statistics7% of all marks · about 5.8 marks a paper
- 7. Some Applications of Trigonometry7% of all marks · about 5.7 marks a paper
- 8. Pair of Linear Equations in Two Variables7% of all marks · about 5.6 marks a paper
- 9. Quadratic Equations7% of all marks · about 5.3 marks a paper
- 10. Surface Areas and Volumes6% of all marks · about 5.2 marks a paper
- 11. Probability6% of all marks · about 5.2 marks a paper
- 12. Arithmetic Progressions6% of all marks · about 5.0 marks a paper
Questions the board asked again
Same question, in two or more different years. Each one links to its solved page where we have one.
Asked in 2023, 2024, 2025, 2026 · 5 marks · Triangles
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
Asked in 2023, 2024, 2025, 2026 · 3 marks · Real Numbers
Prove that √(3) is an irrational number.
Asked in 2023, 2024, 2025, 2026 · 3 marks · Real Numbers
Prove that √(5) is an irrational number.
Asked in 2024, 2025, 2026 · 5 marks · Triangles
State and Prove "Basic Proportionality Theorem".
Asked in 2023, 2025, 2026 · 3 marks · Real Numbers
Prove that √(2) is an irrational number.
Asked in 2023, 2024, 2025 · 3 marks · Circles
Prove that the parallelogram circumscribing a circle is a rhombus.
Asked in 2023, 2025, 2026 · 2 marks · Triangles
In the given figure, QR/QS = QT/PR and ∠ 1 = ∠ 2. Prove that △ PQS ~ △ TQR.
Asked in 2023, 2024, 2025 · 2 marks · Circles
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.
Asked in 2025, 2026 · 5 marks · Quadratic Equations
The difference of the squares of two positive numbers is 180. The square of the smaller number is 8 times the greater number. Find the two numbers.
Asked in 2025, 2026 · 5 marks · Quadratic Equations
Find the value(s) of k for which the equation 2x² + kx + 3 = 0 has real and equal roots. Hence, find the roots of the equations so obtained.
Asked in 2025, 2026 · 5 marks · Triangles
State "Basic Proportionality Theorem" and use it to prove the following : In a quadrilateral ABCD, diagonals AC and BD intersect each other at O such that AO/BO = CO/DO as shown in the given figure. Prove that ABCD is a trapezium.
Asked in 2025, 2026 · 5 marks · Surface Areas and Volumes
A toy is in the form of a cone surmounted on a hemisphere. The cone and hemisphere have the same radii. The height of the conical part of the toy is equal to the diameter of its base. If the radius of the conical part is 5 cm, find the…