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.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. What is the middle number?
- A.8
- B.9
- C.10
- D.11
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2.Solve the quadratic equation: $3x^{2} - 32x + 12 = 0$
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3.Without solving the quadratic equation $px^2 - 4x + 3 = 0$, find the value of $p$ for which the roots are equal.
- A.$\frac{3}{4}$
- B.$\frac{4}{3}$
- C.$2$
- D.$\frac{1}{3}$
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4.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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5.A hotel bill for a number of people for overnight stay is ₹ 4,800. If there were 4 people more, the bill each person had to pay would have reduced by ₹ 200. Find the number of people staying overnight.
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