CBSE EXAMINATION PAPER-2024

A ball is thrown in the air so that t seconds after it is thrown, its height h metre above its starting point is given by the polynomial h = 25t – 5t². Observe the graph of the polynomial and answer the following questions:

Observe the graph of the polynomial and answer the following questions :

The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd.

A circus tent is cylindrical up to a height of 8 m and conical above it. The diameter of the base is 28 m and total height of tent is 18.5 m.

Based on the above, answer the following questions:

In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the results of the survey.

Observe the pie chart and answer the following questions :

The value of k for which the system of equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 has infinitely many solutions, is

Point P divides the line segment joining points A(4, –5) and B(1, 2) in the ratio 5:2. Coordinates of point P are

The common difference of an A.P. in which a₁₅ – a₁₁= 48, is

The quadratic equation x² + x + 1 = 0 has _____ roots.

If HCF(2520, 6600) = 40 and LCM(2520, 6600) = 252 × k, then the value of k is

In the given figure, ΔABC is shown. DE is parallel to BC. If AD = 5 cm, DB = 2.5 cm and BC = 12 cm, then DE is equal to

If sin θ = cos θ, (0° < θ < 90°), then value of (sec θ . sin θ) is:

Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10, is

If α and β are zeroes of the polynomial 5x² + 3x – 7, the value of 1/α + 1/ β is

The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to

AB and CD are two chords of a circle intersecting at P. Choose the correct statement from the following :

If each observation in a data is increased by 2, then the median of the new data

A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is

In the given figure, tangents PA and PB to the circle centered at O, from point P are perpendicular to each other. If PA = 5 cm, then length of AB is equal to

XOYZ is a rectangle with vertices X(–3, 0), O(0, 0), Y(0, 4) and Z(x, y). The length of each diagonal is

Which term of the A.P. –29, –26, –23, ..., 61 is 16?

In the given figure, AT is tangent to a circle centered at O. If ∠CAT = 40°, then ∠CBA is

After an examination, a teacher wants to know the marks obtained by the maximum number of students in her class. She requires to calculate _____ of marks.

Assertion (A): Two cubes each of edge length 10 cm are joined together. The total surface area of newly formed cuboid is 1200 cm². Reason (R) : Area of each surface of a cube of side 10 cm is 100 cm².

Can the number (15)ⁿ, n being a natural number, end with the digit 0? Give reasons.

If 2 sin(A + B) = 3 and cos(A – B) = 1, then find the measures of angles A and B. (0 ≤ A, B, A+B) ≤ 90°).

Prove that √5 is an irrational number.

Prove that 1 + sec θ – tan θ / 1 + sec θ + tan θ = 1 – sin θ / cos θ

In a test, the marks obtained by 100 students (out of 50) are given below:

Find the mean marks of the students.

Sides AB and AC and median AD to Δ ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC ~ ΔPQR.