Quadratic Equations

CBSE Class 10 · Mathematics · 35 past questions

These are the board's own papers. 123 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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1. Q8 2026

   Verify that roots of the quadratic equation $(p - q)x^2 + (q - r)x + (r - p) = 0$ are equal when $q + r = 2p$.

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2. Q9 2026

   A person on tour has ₹ 5,400 for his expenses. If he extends his tour by 5 days, he has to cut down his daily…

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3. Q11 2026 (Basic)

   Observe the figure given above. It shows six identical rectangular enclosures made by using fencing wire… (with a figure)

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4. Q12 Sample paper 2026-27

   If $(1 - p)$ is a root of the quadratic equation $x^2 + px + 1 - p = 0$, then its roots are…

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5. Q13 Sample paper 2026-27

   In a rectangular park measuring 50 m $\times$ 40 m, the gram panchayat plans to construct a rectangular…

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6. Q17 2025

   The perimeter of a right triangle is 60 cm and its hypotenuse is 25 cm. Find the lengths of other two sides…

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7. Q20 2025 (Basic)

   The difference of the squares of two positive numbers is 180. The square of the smaller number is 8 times the…

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8. Q30 2023

   The least positive value of k, for which the quadratic equation $2x^2 + kx - 4 = 0$ has rational roots, is

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9. Q33 2022

   The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his…

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