CBSE Class 12 Mathematics Sample Paper 2017

Download CBSE sample paper for class 12 Mathematics board exam 2017. Students can download the PDF of the sample paper from the link given at the end of this article.

About CBSE Class 12 Mathematics Sample Paper

This sample paper is prepared by experienced teachers of CBSE schools.  The question paper is based on latest CBSE syllabus of class 12 Maths. The blueprint of the question paper is almost similar to the latest sample paper released by CBSE. The paper is to be attempted within 3 hours of duration. It contains 29 questions totaling to 90 marks. All the questions of this paper are extremely important for coming CBSE Class 12 Maths board exam 2017.

Class 12 Maths Sample Paper issued by CBSE

General instructions to solve this paper

This question paper contains 29 questions.

• Q. 1 — Q. 4 are in section (A) carry 1 mark each.
• Q. 5 — Q. 12 are in section (B) carry 2 marks each.
• Q. 13 - Q. 23 are in section (C) carry 4 marks each.
• Q. 24 — Q. 29 are in section (D) carry 6 marks each.
• Use of Calculator is not permitted, you may ask for logarithmic table, if required.

Some randomly selected questions from the paper

Q. From the differential equation representing the family of ellipses having foci on x-axis and centre at the origin.

Q. Form the differential equation representing the family of curves given by (x ‒ a)² + 2y² = a² where a is an arbitrary constant.

Q. A man 2 metres high, walks at a uniform speed of 6 metres per minute away from a lamp post, 5 meters high. Find the rate at which the length of his shadow increases.

Q. Using differential, find the approximate value of √(49.5).

Q. Show that the curves x = y² and xy = k cut at right angles, if 8k² = 1.

Q. Find the intervals in which f(x) = sin x – cos x where 0 < x < 2π is increasing or decreasing.

Q. Find the length and foot of perpendicular from the point P (7, 14, 5) in the plane 2x + 4y ‒z = 2. Also find the image of the point P in the plane.

Q. Given three identical boxes I, II and III each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

Download CBSE Class 12 Mathematics Sample Paper 2017