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.A plane left 30 minutes later than the scheduled time and in order to reach its destination $1500\mathrm{km}$ away in time, it has to increase its speed by $250\mathrm{km/hr}$ from its usual speed. Find its usual speed.
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2.Solve the quadratic equation: $x^{2} - 10x + 6 = 0$. What is one of the roots?
- A.$5 + \sqrt{19}$
- B.$5 + \sqrt{28}$
- C.$5 + 2\sqrt{19}$
- D.$10 + \sqrt{19}$
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3.Divide 15 into two parts such that the sum of their reciprocals is $\frac{3}{10}$. Which of the following pairs represents the two parts?
- A.3 and 12
- B.5 and 10
- C.6 and 9
- D.4 and 11
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4.Solve the quadratic equation correct to two decimal places: $x^2 - 5x - 10 = 0$. What is the value of the larger root?
- A.6.53
- B.5.53
- C.-1.53
- D.7.06
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5.Solve the equation for $x$ and give your answer correct to 2 decimal places: $2x^2 - 10x + 5 = 0$. Which of the following is one of the solutions?
- A.x = 4.44
- B.x = 3.87
- C.x = -0.56
- D.x = 5.00
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