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.The product of two consecutive integers is 56. Which of the following pairs represents the integers?
- A.6 and 7 or -6 and -7
- B.7 and 8 or -8 and -7
- C.8 and 9 or -9 and -8
- D.5 and 6 or -6 and -5
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2.A square lawn is bounded on three sides by a path 4 m wide. If the area of the path is $\frac{7}{8}$ that of the lawn, what is the side length of the lawn?
- A.8 m
- B.12 m
- C.16 m
- D.20 m
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3.Two pipes running together can fill a tank in $11\frac{1}{9}$ minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would fill the tank separately.
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4.Find the value of $k$ for which the equation $kx^{2} + kx + 1 = -4x^{2} - x$ has equal roots.
- A.k = 5 only
- B.k = -3 only
- C.k = 5 or k = -3
- D.k = 3 or k = -5
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5.Solve for $x$ using the quadratic formula, correct to two significant figures: $(x - 1)^2 - 3x + 4 = 0$. Which of the following is a solution?
- A.1.23
- B.1.38
- C.2.50
- D.3.75
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