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.Find two consecutive positive even integers whose product is 224. Which of the following pairs satisfies this condition?
- A.12 and 14
- B.14 and 16
- C.16 and 18
- D.10 and 12
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2.Solve the equation using the quadratic formula: $x^2 - 6 = 2\sqrt{2}x$. Which of the following represents the correct solutions for $x$?
- A.$x = 3 + \sqrt{11}$ or $x = 3 - \sqrt{11}$
- B.$x = 3\sqrt{2}$ or $x = -\sqrt{2}$
- C.$x = 2\sqrt{2} + \sqrt{32}$ or $x = 2\sqrt{2} - \sqrt{32}$
- D.$x = \sqrt{2} + 2$ or $x = \sqrt{2} - 2$
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3.Solve the quadratic equation: $3x^{2} - 8x + 2 = 0$
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4.Solve the quadratic equation 2x² + ax - a² = 0 for x.
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5.The equation $x^2 + ax - 1 = 0$ is given. Which of the following statements correctly explains why this equation has real and distinct roots for all real values of $a$?
- A.The discriminant $D = a^2 + 4$ is always positive for all real values of $a$.
- B.The discriminant $D = a^2 - 4$ is always positive for all real values of $a$.
- C.The equation has real roots only when $a$ is greater than zero.
- D.The discriminant $D = a^2 + 4$ is always non-negative but not always positive.
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