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.For the quadratic equation $x^2 + px + 16 = 0$ to have equal roots, what must be one of the values of $p$?
- A.4
- B.8
- C.12
- D.16
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2.Solve the equation: $10x - \frac{1}{x} = 3$. What is the solution set?
- A.$\left\{\frac{1}{2}, \frac{1}{5}\right\}$
- B.$\left\{\frac{1}{2}, -\frac{1}{5}\right\}$
- C.$\left\{-\frac{1}{2}, \frac{1}{5}\right\}$
- D.$\left\{-\frac{1}{2}, -\frac{1}{5}\right\}$
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3.Solve the quadratic equation: $2x^{2} - 6x + 3 = 0$
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4.The sum $S$ of $n$ successive odd numbers starting from 3 is given by the relation: $S = n(n + 2)$. Determine $n$, if the sum is 168.
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5.A woman is 5 times as old as her son. Five years ago, the product of their ages was 100. Find (i) the present age of the son, (ii) the present age of the woman.
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