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.Solve the quadratic equation: $6x^{2} - 31x = 105$. What is the solution set?
- A.$\left\{\frac{15}{2}, \frac{-7}{3}\right\}$
- B.$\left\{\frac{31}{6}, -5\right\}$
- C.$\left\{5, \frac{-21}{2}\right\}$
- D.$\left\{\frac{15}{6}, \frac{-7}{6}\right\}$
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2.Solve the equation $12x^2 + 29x + 14 = 0$ by factorisation. Which of the following is the solution set?
- A.$\left\{-\frac{7}{4}, -\frac{2}{3}\right\}$
- B.$\left\{-\frac{7}{3}, -\frac{2}{4}\right\}$
- C.$\left\{\frac{7}{4}, \frac{2}{3}\right\}$
- D.$\left\{-\frac{14}{12}, -1\right\}$
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3.Discuss the nature of the roots of the equation $2x^{2} + 2x + 3 = 0$ without actually solving it.
- A.Roots are real and equal.
- B.Roots are real and unequal.
- C.Roots are imaginary and unequal.
- D.Roots are imaginary and equal.
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4.Solve the equation: $5x - \frac{35}{x} = 18$
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5.Solve each of the following equations for $x$ and give, in each case, your answer correct to 2 decimal places: (i) $2x^{2} - 10x + 5 = 0$ (ii) $4x + \frac{6}{x} + 13 = 0$ (iii) $x^{2} - 3x - 9 = 0$ (iv) $x^{2} - 5x - 10 = 0$
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