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.

Sample questions

1. 1.Discuss the nature of the roots of the equation $16x^{2} = 24x + 1$ without actually solving it.
   • A.Roots are rational and equal.
   • B.Roots are irrational and distinct.
   • C.Roots are rational and distinct.
   • D.Roots are imaginary and distinct.
2. 2.A girl goes to her friend’s house, which is at a distance of 12 km. She covers half of the distance at a speed of x km/hr and the remaining distance at a speed of (x + 2) km/hr. If she takes 2 hrs 30 minutes to cover the whole distance, what is the value of x?
   • A.3 km/hr
   • B.4 km/hr
   • C.5 km/hr
   • D.6 km/hr
3. 3.The speed of an express train is $x \mathrm{~km/h}$ and the speed of an ordinary train is $12 \mathrm{~km/h}$ less than that of the express train. If the ordinary train takes one hour more than the express train to cover a distance of $240 \mathrm{~km}$, then find the speed of the express train.
4. 4.Solve the quadratic equation correct to 2 decimal places: $x^{2} - 3x - 9 = 0$. What are the roots of the equation?
   • A.x = 4.85 or x = -1.85
   • B.x = 3.85 or x = -2.85
   • C.x = 5.85 or x = -0.85
   • D.x = 4.50 or x = -1.50
5. 5.Solve the quadratic equation: $4x^2 - 9x - 100 = 0$, when $x \in \mathbb{Q}$. Which of the following is the solution set?
   • A.{-4, 6.25}
   • B.{-5, 5}
   • C.{4, -6.25}
   • D.{2.25, -4.44}