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.Determine which of the following statements is true about the values $x = \frac{-1}{3}$ and $x = \frac{2}{3}$ in relation to the equation $9x^2 - 3x - 2 = 0$.
- A.$x = \frac{-1}{3}$ and $x = \frac{2}{3}$ are both solutions of the equation.
- B.$x = \frac{-1}{3}$ is a solution, but $x = \frac{2}{3}$ is not.
- C.$x = \frac{2}{3}$ is a solution, but $x = \frac{-1}{3}$ is not.
- D.Neither $x = \frac{-1}{3}$ nor $x = \frac{2}{3}$ is a solution of the equation.
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2.If the speed of an aeroplane is reduced by $40\,\mathrm{km}$ per hr, it takes 20 minutes more to cover $1200\,\mathrm{km}$. Find the speed of the aeroplane.
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3.If the speed of a car is increased by $10\,\mathrm{km}$ per hr, it takes 18 minutes less to cover a distance of $36\,\mathrm{km}$. What is the original speed of the car?
- A.20 km/hr
- B.30 km/hr
- C.40 km/hr
- D.50 km/hr
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4.Using the quadratic formula, solve the quadratic equation $4x^{2} - 7x + 2 = 0$ and identify the correct pair of roots (rounded to two decimal places).
- A.$x = 1.39, 0.36$
- B.$x = 1.50, 0.50$
- C.$x = 1.25, 0.25$
- D.$x = 1.75, -0.25$
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5.Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Find the number.
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