ICSE Class 10

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

  1. 1.Solve the equation: $2^{(2x + 1)} - 2^{(x + 2)} = 8 - 2^{(x + 1)}$
  2. 2.Some students planned a picnic. The budget for the food was ₹ 480. As eight of them failed to join the party, the cost of the food for each member increased by ₹ 10. How many students went for the picnic?
    • A.12 students
    • B.16 students
    • C.20 students
    • D.24 students
  3. 3.Solve the quadratic equation: $x^{2} - 5x - 10 = 0$. What are the approximate roots of the equation?
    • A.$x = 6.53$ and $x = -1.53$
    • B.$x = 5.53$ and $x = -0.53$
    • C.$x = 7.53$ and $x = -2.53$
    • D.$x = 6.53$ and $x = 1.53$
  4. 4.Solve the quadratic equation 2x² + ax - a² = 0 for x.
    • A.x = a, -a/2
    • B.x = a/2, -a
    • C.x = -a/2, a
    • D.x = 2a, -a
  5. 5.Solve: $2x^4 - 5x^2 + 3 = 0$ (Take $x^2 = y$)

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