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 equation: $\frac{1}{(x - 2)} + \frac{2}{(x - 1)} = \frac{6}{x}$. Which of the following is the solution set?
- A.$\{2, \frac{4}{3}\}$
- B.$\{3, \frac{4}{3}\}$
- C.$\{3, 4\}$
- D.$\{1, \frac{4}{3}\}$
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2.The sides of a right-angled triangle containing the right angle are $4x\,\mathrm{cm}$ and $(2x - 1)\,\mathrm{cm}$. If the area of the triangle is $30\,\mathrm{cm}^2$, what are the lengths of its sides?
- A.6 cm, 8 cm, and 10 cm (hypotenuse)
- B.8 cm, 15 cm, and 17 cm (hypotenuse)
- C.5 cm, 12 cm, and 13 cm (hypotenuse)
- D.9 cm, 12 cm, and 15 cm (hypotenuse)
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3.Find the value(s) of k such that the quadratic equation 5x² - kx + 3 = 0 has equal roots.
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4.Discuss the nature of the roots of the equation $16x^{2} = 24x + 1$ without actually solving it.
- A.Roots are rational and equal.
- B.Roots are irrational and distinct.
- C.Roots are rational and distinct.
- D.Roots are imaginary and distinct.
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5.Solve the quadratic equation $4x^2 - 7x + 2 = 0$ and give the answer correct to two significant figures. Which of the following is a solution?
- A.1.75
- B.1.50
- C.2.00
- D.-0.50
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