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.Rs. 6400 were divided equally among $x$ persons. Had this money been divided equally among $(x + 14)$ persons, each would have got Rs. 28 less. What is the value of $x$?
- A.40
- B.50
- C.64
- D.80
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2.Solve the quadratic equation using the formula: $x^2 + 6x - 10 = 0$. Which of the following represents the correct solution?
- A.$x = -3 \pm \sqrt{19}$
- B.$x = -3 \pm \sqrt{29}$
- C.$x = 3 \pm \sqrt{19}$
- D.$x = -6 \pm \sqrt{19}$
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3.Solve the following equation for $x$ and select the correct pair of values, rounded to 2 decimal places: $3x^{2} + 5x - 9 = 0$
- A.$x = 1.09$ or $x = -2.76$
- B.$x = 0.55$ or $x = -1.38$
- C.$x = 1.53$ or $x = -3.20$
- D.$x = -1.09$ or $x = 2.76$
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4.Solve the equation $x^2 - x = 156$ by factorisation. What is the solution set?
- A.$\{-13, 12\}$
- B.$\{13, -12\}$
- C.$\{12, -13\}$
- D.$\{-12, -13\}$
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5.Mr. Mehra sends his servant to the market to buy oranges worth ₹ 15. The servant having eaten three oranges on the way, Mr. Mehra pays 25 paise per orange more than the market price. Taking $x$ to be the number of oranges which Mr. Mehra receives, the quadratic equation formed in $x$ is $x^2 + 3x - 180 = 0$. What is the value of $x$?
- A.9
- B.12
- C.15
- D.18
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