Mathematics · Class 11 Science

Rajasthan Rbse 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.

2017–2026
Years of papers: 5
Total Papers: 5
Real Board Papers: 0
Sample papers: 190
Real-paper Q & A: 0
Sample-paper Q & A

Real board-paper questions available, by year

45 Q2026complete

—2025Paper not yet available

41 Q2024complete

45 Q2023complete

—2022Paper not yet available

—2021Exam not held (COVID-19)

—2020Paper not yet available

—2019Paper not yet available

29 Q2018complete

30 Q2017complete

2025 — Paper not yet available: This year’s RBSE Class-11 exam was presumably held, but no verified question paper for this subject has been published by any source we check — the official rajeduboard.rajasthan.gov.in and the public past-paper archives. We publish only a paper we can verify against a real printed original — this one will appear here once it is.

2022 — Paper not yet available: This year’s RBSE Class-11 exam was presumably held, but no verified question paper for this subject has been published by any source we check — the official rajeduboard.rajasthan.gov.in and the public past-paper archives. We publish only a paper we can verify against a real printed original — this one will appear here once it is.

2021 — Exam not held (COVID-19): RBSE did not conduct the Class-11 (Senior Secondary Part-I) examination in 2021 at all — students were promoted without sitting any exam (a Rajasthan government decision, COVID-19 2nd wave). No question paper exists for this year because none was ever administered.

2020 — Paper not yet available: This year’s RBSE Class-11 exam was presumably held, but no verified question paper for this subject has been published by any source we check — the official rajeduboard.rajasthan.gov.in and the public past-paper archives. We publish only a paper we can verify against a real printed original — this one will appear here once it is.

2019 — Paper not yet available: This year’s RBSE Class-11 exam was presumably held, but no verified question paper for this subject has been published by any source we check — the official rajeduboard.rajasthan.gov.in and the public past-paper archives. We publish only a paper we can verify against a real printed original — this one will appear here once it is.

Rajasthan Board Senior Secondary Part-I Examination 2026 · Set ANNUAL

Real board examination

About this paper

The real Class-12 board examination held in 2026. Every question below is solved the concept-first way. Sample papers are labelled honestly — never shown as a past exam.

Total marks: 100
Questions: 45
Duration: 195 min
Sections: 6

The marks / questions / duration above are the official exam pattern. We currently have 45 of this paper’s questions (100% of the full paper), with 45 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	mcq	10	1	10
ASection A	subjective	8	1	8
BSection B	subjective	11	2	22
CSection C	subjective	10	3	30
DSection D	subjective	4	4	16
ESection E	subjective	2	7	14
Total		45		100

The question paper

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

Board Examination

Mathematics

Rajasthan Board Senior Secondary Part-I Examination 2026 · Set ANNUAL

Series/Set: ANNUALRoll No. ________

Time Allowed: 3 hr 15 minMaximum Marks: 100

General Instructions

This question paper contains 45 questions divided into 6 sections — A, A, B, C, D, E.
Section A comprises 10 questions of 1 mark each (mcq).
Section A comprises 8 questions of 1 mark each (subjective).
Section B comprises 11 questions of 2 marks each (subjective).
Section C comprises 10 questions of 3 marks each (subjective).
Section D comprises 4 questions of 4 marks each (subjective).
Section E comprises 2 questions of 7 marks each (subjective).

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

Section A

mcq · 1 mark each · 18 of 10 shown

Q1.

A = \{2, 3, 4\}

B = \{4, 5, 6\}

, then the value of

A - B

is —

(a) $\{3, 4\}$
(b) $\{2, 3\}$
(c) $\{5, 6\}$
(d) $\{3, 4, 5\}$

[1]

Q2.

Which one of the following is the value of

\tan \frac{19\pi}{3}

(a) $\sqrt{3}$
(b) $-\sqrt{3}$
(c) $\frac{1}{\sqrt{3}}$
(d) $-\frac{1}{\sqrt{3}}$

[1]

Q3.

The value of

i^{28}

is —

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

[1]

Q4.

Radian measure of

120°

is —

(a) $\frac{4\pi}{3}$
(b) $\frac{\pi}{3}$
(c) $\frac{2\pi}{3}$
(d) $\frac{\pi}{6}$

[1]

Q5.

x > -4

then the solution of the inequality will be —

(a) $(-4, \infty)$
(b) $(2, 2)$
(c) $(1, 4)$
(d) $(\infty, -4)$

[1]

Q6.

From the following, which value of

x

satisfies the inequality

x + 4 > 7

(a) $-3$
(b) $1$
(c) $4$
(d) $3$

[1]

Q7.

The value of

5!

is —

(a) $5040$
(b) $720$
(c) $120$
(d) $24$

[1]

Page 1 of 8

Q8.

There are 7 terms in the expansion of (x+a)ⁿ, then the value of n is — (a) 7 (b) 6 (c) 8 (d) 0

[1]

Q9.

The coordinates of the centre of the circle x² + y² = a² is — (a) (1, 1) (b) (1, 0) (c) (0, 0) (d) (0, 1)

[1]

Q10.

The square of standard deviation is — (a) Mean-deviation (b) Range (c) Variance (d) Mean

[1]

Q11.

The conjugate of the complex number 2 - 3i is ___.

[1]

Q12.

ⁿPr = ___, (0 ≤ r ≤ n).

[1]

Q13.

If aₙ = 2ⁿ, then a₅ = ___.

[1]

Q14.

The equation of the x-axis is ___.

[1]

Q15.

The value of limx → 1 (x²+1)/(x) is ___.

[1]

Q16.

The coordinates of the focus of the parabola y² = 4ax be ___.

[1]

Q17.

(d)/(dx)(x+a) = ___.

[1]

Q18.

The sum of the probabilities of all the elementary events of an experiment is ___.

[1]

Page 2 of 8

Section A

mcq · 1 mark each · 18 of 10 shown

Q1.

If A = \2, 3, 4\, B = \4, 5, 6\, then the value of A - B is — (a) \3, 4\ (b) \2, 3\ (c) \5, 6\ (d) \3, 4, 5\

[1]

Q2.

Which one of the following is the value of tan (19π)/(3)? (a) √(3) (b) -√(3) (c) frac1√(3) (d) -frac1√(3)

[1]

Q3.

The value of i²⁸ is — (a) i (b) -i (c) 1 (d) -1

[1]

Q4.

Radian measure of 120° is — (a) (4π)/(3) (b) (π)/(3) (c) (2π)/(3) (d) (π)/(6)

[1]

Q5.

If x > -4 then the solution of the inequality will be — (a) (-4, ∞) (b) (2, 2) (c) (1, 4) (d) (∞, -4)

[1]

Q6.

From the following, which value of x satisfies the inequality x + 4 > 7? (a) -3 (b) 1 (c) 4 (d) 3

[1]

Q7.

The value of 5! is — (a) 5040 (b) 720 (c) 120 (d) 24

[1]

Q8.

There are 7 terms in the expansion of (x+a)ⁿ, then the value of n is — (a) 7 (b) 6 (c) 8 (d) 0

[1]

Q9.

The coordinates of the centre of the circle x² + y² = a² is — (a) (1, 1) (b) (1, 0) (c) (0, 0) (d) (0, 1)

[1]

Q10.

The square of standard deviation is — (a) Mean-deviation (b) Range (c) Variance (d) Mean

[1]

Page 3 of 8

Q11.

The conjugate of the complex number 2 - 3i is ___.

[1]

Q12.

ⁿPr = ___, (0 ≤ r ≤ n).

[1]

Q13.

If aₙ = 2ⁿ, then a₅ = ___.

[1]

Q14.

The equation of the x-axis is ___.

[1]

Q15.

The value of limx → 1 (x²+1)/(x) is ___.

[1]

Q16.

The coordinates of the focus of the parabola y² = 4ax be ___.

[1]

Q17.

(d)/(dx)(x+a) = ___.

[1]

Q18.

The sum of the probabilities of all the elementary events of an experiment is ___.

[1]

Section B

subjective · 2 marks each · 11 of 11 shown

Q1.

If A = \1, 2, 3, 4\ and B = \3, 4, 5, 6\, then find the following: (i) A ∩ B (ii) A - B

[2]

Q2.

A function f is defined by f(x) = x² + 2, then write down the value of: (i) f(1) (ii) f(0)

[2]

Page 4 of 8

Q3.

Express the complex number 3(7+i7) + i(7+i7) in the form of a + ib.

[2]

Q4.

Solve (3x-4)/(2) ≥ (x+1)/(4) - 1 and show the graph of the solution on the number line.

[2]

Q5.

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

[2]

Q6.

Prove that Σr=0ⁿ 3r ⁿCr = 4ⁿ

[2]

Q7.

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

[2]

Q8.

Find the distance of the point (2, 3, 5) from the origin.

[2]

Q9.

If the origin is the centroid of the triangle PQR with vertices P(2a, 2, 6), Q(-4, 3b, -10) and R(8, 14, 2c), then find the value of a, b and c.

[2]

Q10.

Find the value of limx → 0 (sin ax)/(bx), (b ≠ 0)

[2]

Q11.

Find the derivative of x² - 2 at x = 10.

[2]

Page 5 of 8

Section C

subjective · 3 marks each · 10 of 10 shown

Q1.

Let f, g : mathbbR → mathbbR, be defined, respectively by f(x) = x+1, g(x) = 2x-3. Find f+g, f-g and (f)/(g).

[3]

Q2.

Prove that (sin x - sin y)/(cos x + cos y) = tan (x-y)/(2)

[3]

Q3.

How many terms of the G.P. 3, 3², 3³, … are needed to give the sum 120?

[3]

Q4.

Find the equation of the parabola with vertex at (0, 0) and focus at (3, 0).

[3]

Q5.

Find the equation of the ellipse whose ends of major axis are (± 3, 0) and ends of minor axis are (0, ± 2).

[3]

Q6.

Find the length of the medians of the triangle with vertices A(0, 0, 6), B(0, 4, 0) and C(6, 0, 0).

[3]

Q7.

Evaluate the following: limx → (π)/(2) fractan 2xx - (π)/(2)

[3]

Page 6 of 8

Q8.

Find the derivative of sin x from First Principle.

[3]

Q9.

Find the mean deviation about mean for the following data: 4, 7, 8, 9, 10, 12, 13, 17

[3]

Q10.

Given P(A) = (3)/(5) and P(B) = (1)/(5), find P(A or B) if A and B are mutually exclusive events.

[3]

Section D

subjective · 4 marks each · 4 of 4 shown

Q1.

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, -1).

[4]

Q2.

Find the derivative of — (i) (sin x + cos x)/(sin x - cos x) (ii) (x + sec x)(x - tan x)

[4]

Q3.

Calculate the mean deviation about median for the following data. Class: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60; Frequency: 6, 7, 15, 16, 4, 2

[4]

Page 7 of 8

Q4.

Three coins are tossed once. Find the probability of getting — (i) at least 2 heads (ii) at most 2 heads

[4]

Section E

subjective · 7 marks each · 2 of 2 shown

Q1.

Find the mean and standard deviation using the short-cut method for the following data: xᵢ: 60, 61, 62, 63, 64, 65, 66, 67, 68; fᵢ: 2, 1, 12, 29, 25, 12, 10, 4, 5 **OR** Find the mean and variance for the following frequency distribution: Class: 0-10, 10-20, 20-30, 30-40, 40-50; Frequency: 5, 8, 15, 16, 6

[7]

Q2.

In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that — (i) the student opted for NCC or NSS (ii) the student opted for neither NCC nor NSS (iii) the student opted for NSS but not NCC. **OR** Find the probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains — (i) all Kings (ii) 3 Kings (iii) at least 3 Kings.

[7]

Page 8 of 8