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.Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels $5\mathrm{km/hr}$ faster than the second train. If after 2 hours, they are $50\mathrm{km}$ apart, find the speed of each train.
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2.Find two consecutive positive odd numbers such that the sum of their squares is 74. What are the numbers?
- A.3 and 5
- B.5 and 7
- C.7 and 9
- D.1 and 3
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3.Solve the equation: $\sqrt{\frac{x}{x - 3}} + \sqrt{\frac{x - 3}{x}} = \frac{5}{2}$. What are the valid values of $x$?
- A.x = 4 or x = 12/5
- B.x = 4 or x = -1
- C.x = 3 or x = 12/5
- D.x = 4 or x = 5/2
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4.Using the factorisation method, solve the quadratic equation: $x^{2} - (a + b)x + ab = 0$. What are the roots of the equation?
- A.$x = a$ or $x = b$
- B.$x = a + b$ or $x = ab$
- C.$x = -(a + b)$ or $x = ab$
- D.$x = a - b$ or $x = b - a$
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5.Some students planned a picnic. The budget for the food was ₹ 480. As eight of them failed to join the party, the cost of the food for each member increased by ₹ 10. How many students went for the picnic?
- A.12 students
- B.16 students
- C.20 students
- D.24 students
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