Mathematics · Class 11 Science

Jammu Kashmir Jkbose Class 11 Mathematics — Real Previous-Year Papers

with complete answers

Real previous-year board papers, year by year — the official exam pattern, the full question paper, and every question solved the concept-first way. Distinct from the chapter-wise textbook bank.

2019–2025
Years of papers: 8
Total Papers: 8
Real Board Papers: 0
Sample papers: 246
Real-paper Q & A: 0
Sample-paper Q & A

Real board-paper questions available, by year

—2026Paper not yet available

31 Q2025complete

62 Q20242 sets

29 Q2023complete

32 Q2022complete

63 Q20212 sets

—2020Paper not yet available

29 Q2019complete

—2018Paper not yet available

2026 — Paper not yet available: No verified JKBOSE Class-11 question paper for this subject/year has been found from the sources we check (official jkbose.nic.in — unreachable from this environment — and the working Tier-3 archive jkboseonline.com, which otherwise covers this subject back to 2018). We publish only a paper we can verify against a real printed original — it will appear here once it is.

2020 — Paper not yet available: No verified JKBOSE Class-11 question paper for this subject/year has been found from the sources we check (official jkbose.nic.in — unreachable from this environment — and the working Tier-3 archive jkboseonline.com, which otherwise covers this subject back to 2018). We publish only a paper we can verify against a real printed original — it will appear here once it is.

2018 — Paper not yet available: No verified JKBOSE Class-11 question paper for this subject/year has been found from the sources we check (official jkbose.nic.in — unreachable from this environment — and the working Tier-3 archive jkboseonline.com, which otherwise covers this subject back to 2018). We publish only a paper we can verify against a real printed original — it will appear here once it is.

Jammu and Kashmir Board of School Education (Class 11) 2025 · Set sz

Real board examination

About this paper

The real Class-12 board examination held in 2025. Every question below is solved the concept-first way. Sample papers are labelled honestly — never shown as a past exam.

Total marks: 80
Questions: 31
Duration: 180 min
Sections: 4

The marks / questions / duration above are the official exam pattern. We currently have 31 of this paper’s questions (100% of the full paper), with 31 fully solved. Questions we couldn’t yet extract or verify are held — never shown as complete.

Sections & marks

Section	Type	Questions	Marks each	Total
ASection A	mixed	10	1	10
BSection B	subjective	10	2	20
CSection C	subjective	8	4	32
DSection D	subjective	3	6	18
Total		31		80

The question paper

The questions we hold for this paper, laid out by section. Solutions are on the Answers tab.

Board Examination

Mathematics

Jammu and Kashmir Board of School Education (Class 11) 2025 · Set sz

Series/Set: szRoll No. ________

Time Allowed: 3 hoursMaximum Marks: 80

General Instructions

This question paper contains 31 questions divided into 4 sections — A, B, C, D.
Section A comprises 10 questions of 1 mark each (mixed).
Section B comprises 10 questions of 2 marks each (subjective).
Section C comprises 8 questions of 4 marks each (subjective).
Section D comprises 3 questions of 6 marks each (subjective).

Above is the official exam pattern. The questions printed below are those we currently hold for this paper.

Section A

mixed · 1 mark each · 10 of 10 shown

Q1.

X = \{0, -1\}

then

P(A)

has :

(a) 4 elements
(b) 3 elements
(c) 2 elements
(d) 6 elements

[1]

Q2.

The domain of the function

f : R \to R

given by

f(x) = \sqrt{x^2 - 4}

is :

(a) [0, 4]
(b) [-2, 2]
(c) (-2, 2)
(d) (4, 0)

[1]

Q3.

cos x = 0.6 for some value of x in its domain. (True/False)

[1]

Q4.

i^{8k+6}

is equal to :

(a) -i
(b) 1
(c) -1
(d) i

[1]

Q5.

The value of

\dfrac{n!}{(n-r)!}

, when

n = 5, r = 2

is :

(a) 20
(b) 10
(c) 30
(d) 15

[1]

Q6.

The coordinates of the foci of the ellipse

\dfrac{x^2}{100} + \dfrac{y^2}{9} = 1

are ............... .

[1]

Q7.

The equation of the parabola with focus

(0, -3)

and directrix

y = 3

is ........................ .

[1]

Page 1 of 5

Q8.

The solution of the inequality 7x - 8 ≥ 6 is : (a) [2, ∞) (b) (2, 8) (c) [4, ∞) (d) (14, ∞)

[1]

Q9.

Define secondary data.

[1]

Q10.

For an event A if P(A) = (3)/(5), then P(A') is equal to : (a) (7)/(8) (b) (5)/(3) (c) (2)/(3) (d) (2)/(5)

[1]

Section B

subjective · 2 marks each · 10 of 10 shown

Q1.

Form all the subsets of the set \-1, 0, 1\.

[2]

Q2.

If X = \3, 5, 7, 9, 11, 13\ and Y = \1, 2, 3, 4, 5, 6\, then find X - Y and Y - X.

[2]

Q3.

Find the equation of line through (-2, 3) with slope -4.

[2]

Q4.

Find the centre and the radius of the circle x² + y² - 4x - 8y - 45 = 0.

[2]

Q5.

Find the equation of the ellipse with ends of major axis (0, ±√(5)) and ends of minor axis (± 1, 0).

[2]

Q6.

Prove that : cos 3x = 4cos³ x - 3cos x.

[2]

Page 2 of 5

Q7.

If A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16, then determine P(A or B).

[2]

Q8.

Find the mean deviation about the median of the data : 36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

[2]

Q9.

Find n, if ⁿ⁻¹P₃ : ⁿP₄ = 1 : 9.

[2]

Q10.

Find which term of the sequence 2, 2√(2), 4, …, is 128.

[2]

Section C

subjective · 4 marks each · 8 of 8 shown

Q1.

If U = \1, 2, 3, 4, 5, 6, 7, 8, 9\, A = \2, 4, 6, 8\ and B = \2, 3, 5, 7\, verify that : (A ∩ B)' = A' ∪ B'.

[4]

Q2.

Prove that : 2sin² (π)/(6) + csc² (7π)/(6) cos² (π)/(3) = (3)/(2).

[4]

Q3.

Represent Z = 1 + i√(3) in the polar form.

[4]

Page 3 of 5

Q4.

Solve the inequality : (1)/(2)((3x)/(5) + 4) ≥ (1)/(3)(x - 6).

[4]

Q5.

Find the distance between the parallel lines : 15x + 8y - 34 = 0 and 15x + 8y + 31 = 0.

[4]

Q6.

Evaluate : limx → 2 [(x³ - 4x² + 4x)/(x² - 4)].

[4]

Q7.

If y = (px² + qx + r)/(ax + b), find (dy)/(dx).

[4]

Q8.

From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?

[4]

Page 4 of 5

Section D

subjective · 6 marks each · 3 of 3 shown

Q1.

Prove that : cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1. **OR** Find the general solution of the equation : cos 3x + cos x - cos 2x = 0

[6]

Q2.

The sum of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms. **OR** If a, b, c and d are in G.P., show that : (a² + b² + c²)(b² + c² + d²) = (ab + bc + cd)²

[6]

Q3.

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination. **OR** Find the mean and variance for the frequency distribution table : | Diameters | No. of Circles | |---|---| | 33—36 | 15 | | 37—40 | 17 | | 41—44 | 21 | | 45—48 | 22 | | 49—52 | 55 |

[6]

Page 5 of 5