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 farmer has 70 m of fencing, with which he encloses three sides of a rectangular sheep pen; the fourth side being a wall. If the area of the pen is 600 sq. m, what is the length of its shorter side?
- A.10 m
- B.15 m
- C.20 m
- D.25 m
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2.Solve the equation: $(2x + 3)^2 = 81$. What are the values of $x$?
- A.x = 3 or x = 6
- B.x = 3 or x = -6
- C.x = -3 or x = 6
- D.x = -3 or x = -6
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3.Solve the quadratic equation x² - 3x - 9 = 0 for x and give your answer correct to two decimal places.
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4.Solve the equation: $\sqrt{3x^2 - 2} = (2x - 1)$
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5.Solve the quadratic equation: $\sqrt{3} x^{2} + 10x - 8\sqrt{3} = 0$
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