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 motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
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2.The sum of the squares of three consecutive odd numbers is 2531. Which of the following sets represents the three numbers?
- A.25, 27, and 29
- B.27, 29, and 31
- C.29, 31, and 33
- D.23, 25, and 27
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3.In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from the numerator and the denominator both, the fraction reduces by 1/14. What is the original fraction?
- A.3/6
- B.4/7
- C.2/5
- D.5/8
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4.Solve for $x: 4x^2 + 4bx - (a^2 - b^2) = 0$.
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5.Solve the equation using the factorisation method: $x + \frac{1}{x} = 2 \cdot 5$. Which of the following represents the correct solutions for $x$?
- A.$x = 2$ or $x = \frac{1}{2}$
- B.$x = 5$ or $x = \frac{1}{5}$
- C.$x = 2.5$ or $x = -2.5$
- D.$x = 1$ or $x = -1$
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