ICSE Class 10 Quadratic Equations (in one variable) — Mock Test (2027)
Free online mock test for Quadratic Equations (in one variable) (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Quadratic Equations (in one variable) chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.The sum S of first $n$ even natural numbers is given by the relation $S = n(n + 1)$. Find $n$, if the sum is 420.
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2.The given quadratic equation $3x^{2} + \sqrt{7x} + 2 = 0$ has
- a.Two equal real roots
- b.Two distinct real roots
- c.More than two real roots
- d.No real roots
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3.The area of a right-angled triangle is 96 m². If the base is three times its altitude, find the base.
- A.8 m
- B.16 m
- C.24 m
- D.32 m
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4.Determine the positive value of $k$ for which the equation $x^2 + kx + 64 = 0$ and $x^2 - 8x + k = 0$ will both have real and equal roots.
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5.Solve the equation using the formula: $x^2 - 6x = 27$. What are the values of $x$?
- A.$x = 9$ or $x = -3$
- B.$x = 3$ or $x = -9$
- C.$x = 6$ or $x = -4$
- D.$x = 12$ or $x = -6$
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