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 rectangular garden is 20 m long and 10 m wide. We wish to pave a walk around the borders of uniform width so as to leave an area of 96 m² for flowers. How wide should the walk be?
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2.The sum of the squares of two consecutive positive even numbers is 52. Which of the following pairs represents the two numbers?
- A.2 and 4
- B.4 and 6
- C.6 and 8
- D.8 and 10
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3.Solve the quadratic equation correct to 2 decimal places: $x^{2} - 3x - 9 = 0$
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4.Solve the equation using the factorisation method: $2(x^{2} - 6) = 3(x - 4)$. Which of the following represents the correct solutions for $x$?
- A.$x = 0$ or $x = rac{3}{2}$
- B.$x = 0$ or $x = rac{15}{2}$
- C.$x = 6$ or $x = -4$
- D.$x = -6$ or $x = rac{15}{2}$
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5.Out of three consecutive positive integers, the middle number is $p$. If three times the square of the largest is greater than the sum of the squares of the other two numbers by 67, what is the value of $p$?
- A.5
- B.7
- C.9
- D.11
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