ICSE 10th Maths question paper - 2025

The given quadratic equation 3x² + √7x + 2 = 0 has

If Mr. Anuj earns 570 as interest at the time of maturity, then his matured amount is

Which of the following cannot be the probability of any event?

The equation of the line passing through origin and parallel to the line 3x + 4y + 7 = 0 is

If A = [[0, 1], [1, 0]], then A² is equal to

In the given diagram, chords AC and BC are equal. If angle ∠ACD = 120°, then angle ∠AEC is

The factor common to the two polynomials x² - 4 and x³ - x² - 4x + 4 is

A man invested in a company paying 12% dividend on its share. If the percentage return on his investment is 10%, then the shares are

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of the ∆DEF. Statement 2: The incentre of a triangle is the point where the bisector of the angles intersects.

Assertion(A): If sin²A + sin A = 1 then cos⁴A + cos²A = 1 Reason(R): 1 - sin²A = cos²A

In the given diagram ∆ABC ~ ∆EFG. IF ∠ABC = ∠EFG = 60° then the length of the side FG is

If the volume of two spheres is in the ratio 27: 64 then the ratio of their radii is

The marked price of an article is 1375. If the CGST is charged at a rate of 4%, then the price of the article including GST is

The solution set for 0 < -x/3 < 2 x ∈ z is

Assertion(A): The mean of first 9 natural numbers is 4.5. Reason(R): Mean = (Sum of all the observations) / (Total number of observations)

The discriminant of the quadratic equation 2x² - 4x + 3 = 0 is

If a point A(2, 3) is reflected in the origin, its image A' is

The common difference of an arithmetic progression is 3 and the 5th term is 14. The first term is

The probability of an event not happening is 0.4. The probability of it happening is

If the mean of the data 6, 8, 10, x, 14 is 11, the value of x is

The slope of the line passing through points (2, 5) and (4, 9) is

The value of sin(90° - θ) is

If a point (x, y) is in the first quadrant, then

The roots of the equation (x-2)(x+3)=0 are

The volume of a hemisphere with radius 3 cm is

The quadratic formula to find the roots of ax² + bx + c = 0 is

The value of tan(45°) is

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is

The equation of the line perpendicular to 2x+3y=6 and passing through (1,1) is

The roots of the equation x² + x - 6 = 0 are

The median of the data 5, 8, 11, 13, 15 is

The mode of the data 2, 4, 3, 2, 5, 2, 4 is

The volume of a cylinder is 100π cm³ and its height is 4 cm. The radius of the base is

The coordinates of the mid-point of the line segment joining points (3, 4) and (-1, 2) are

If 3sinθ = 4cosθ, the value of tanθ is

The value of sin²(60°) + cos²(60°) is

The area of a circle is 154 cm². Its radius is

The sum of the first 10 terms of an arithmetic progression with first term 2 and common difference 3 is

If a card is drawn from a well-shuffled deck of 52 cards, the probability of getting a queen is

The volume of a cone is 120π cm³ and its height is 10 cm. The radius of the base is

The sum of the roots of the quadratic equation 2x² - 5x + 3 = 0 is

The product of the roots of the quadratic equation 3x² + 7x + 4 = 0 is

The point of intersection of the lines x + y = 5 and x - y = 1 is

The distance of the point (3, 4) from the origin is

The sum of the first 20 even natural numbers is

The value of cos²(30°) - sin²(30°) is

If tanθ = 1, then θ is

The coordinates of the centroid of a triangle with vertices (2, 3), (4, 5), and (6, 1) are

The area of a sector of a circle with radius 7 cm and central angle 90° is

If a card is drawn from a well-shuffled deck of 52 cards, the probability of getting a red king is