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: $2x^{2} - 6x + 3 = 0$
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2.A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km per hour more than the first speed. If the truck covers the total distance in 5 hours, find the first speed of the truck.
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3.A truck covers 150 km at a certain average speed and then 200 km at a speed 20 km/h faster. If the total time taken is 5 hours, what is the first speed of the truck?
- A.50 km/h
- B.60 km/h
- C.70 km/h
- D.80 km/h
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4.A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250 km/hr from its usual speed. What is the usual speed of the plane?
- A.500 km/hr
- B.750 km/hr
- C.1000 km/hr
- D.1250 km/hr
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5.Find the value of $k$ for which the equation $x^{2} - 2kx + 7k - 12 = 0$ has equal roots.
- A.$k = 3$ or $k = 4$
- B.$k = 6$ or $k = 2$
- C.$k = 4$ only
- D.$k = -3$ or $k = -4$
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