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 the value of $k$ for which the equation $3x^{2} - 6x + k = 0$ has distinct and real roots.
- A.$k < 3$
- B.$k > 3$
- C.$k = 3$
- D.$k eq 3$
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2.Solve for x: 4x² + 4bx - (a² - b²) = 0. Which of the following is a root of the equation?
- A.(a + b)/2
- B.-(a + b)/2
- C.(a - b)/4
- D.-(a - b)/2
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3.The solution set of the quadratic equation $x(6x - 11) = 35$ is:
- A.$\left\{\frac{7}{2}, \frac{5}{3}\right\}$
- B.$\left\{\frac{7}{2}, -\frac{5}{3}\right\}$
- C.$\left\{-\frac{7}{2}, \frac{5}{3}\right\}$
- D.$\left\{-\frac{7}{2}, -\frac{5}{3}\right\}$
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4.Solve the equation: $(x^2 + 5x + 4)(x^2 + 5x + 6) = 120$ by taking $x^2 + 5x = y$. Which of the following sets represents the real roots of the equation?
- A.x = 1, -6, (-5 ± √29)/2
- B.x = 1, -6, (-5 ± √5)/2
- C.x = 1, -6, (-5 ± √96)/2
- D.x = 1, -6 only
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5.What are the roots of the quadratic equation $2x^{2} - 5x - 4 = 0$, correct to three significant figures?
- A.3.14 and -0.637
- B.2.50 and -0.800
- C.3.50 and -0.500
- D.2.80 and -0.714
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