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Free Practice Questions for RBSE SS Mathematics

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Exam Review

Key Facts: RBSE SS Mathematics Exam

015

RBSE subject code for Mathematics

RBSE 2026 subject-wise statistics

Theory 80 + Sessional 20

Typical full marks / assessment pattern

RBSE syllabus examination scheme

3 h 15 m

Typical theory paper duration (where applicable)

RBSE Class 12 / Praveshika schemes

33%

Common minimum pass threshold under RBSE regulations

RBSE examination regulations (confirm circular)

2026

Main examination cycle evidenced in official subject-wise statistics

rajeduboard.rajasthan.gov.in/statistics2026.htm

MCQ study aid

Local bank adapts knowledge to four-option MCQs; official paper is mixed/performance format

OpenExamPrep assessment-format policy

RBSE Senior Secondary (Class 12) Mathematics (code 015): Theory 80 + Sessional 20 = 100; 3 hours 15 minutes (theory paper). Pass about 33% per RBSE rules (confirm circular). Fee as per board notification. Free English MCQ study aid — not a full official-format simulation.

Sample RBSE SS Mathematics Practice Questions

Try these sample questions to review concepts for the RBSE SS Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1On the set A = {1, 2, 3}, the relation R = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)} is:
A.Reflexive, symmetric and transitive
B.Reflexive and symmetric but not transitive
C.Symmetric and transitive but not reflexive
D.Reflexive and transitive but not symmetric
Explanation: All diagonal pairs are present, so R is reflexive. (1,3) and (3,1) are both in R, so R is symmetric. Compositions involving (1,3) and (3,1) recover (1,1) and (3,3), already in R, so R is transitive. Hence R is an equivalence relation.
2Let f: ℝ → ℝ be given by f(x) = 5x − 2. Then f is:
A.One-one and onto
B.One-one but not onto
C.Onto but not one-one
D.Neither one-one nor onto
Explanation: f(x₁)=f(x₂) ⇒ 5x₁−2=5x₂−2 ⇒ x₁=x₂, so f is injective. For any y∈ℝ, x=(y+2)/5 satisfies f(x)=y, so f is surjective. Thus f is bijective.
3If f(x) = 2x + 1 and g(x) = x² − 3, then (g ∘ f)(x) equals:
A.4x² + 4x − 2
B.2x² − 5
C.4x² − 2
D.2x² + 1
Explanation: (g ∘ f)(x) = g(f(x)) = g(2x+1) = (2x+1)² − 3 = 4x² + 4x + 1 − 3 = 4x² + 4x − 2.
4The inverse of the bijective function f: ℝ → ℝ, f(x) = 3x − 9, is:
A.f⁻¹(x) = (x + 9)/3
B.f⁻¹(x) = (x − 9)/3
C.f⁻¹(x) = 3x + 9
D.f⁻¹(x) = x/3 − 9
Explanation: y = 3x − 9 ⇒ x = (y + 9)/3, so f⁻¹(x) = (x + 9)/3. Check: f(f⁻¹(x)) = 3·((x+9)/3) − 9 = x.
5If A = {a, b, c} and a binary operation * on A is given by the Cayley table with a*a=a, a*b=b, a*c=c, b*a=b, b*b=a, b*c=a, c*a=c, c*b=a, c*c=a, then the identity element is:
A.a
B.b
C.c
D.Does not exist
Explanation: An identity e satisfies x*e = e*x = x for all x. Checking a: a*a=a, b*a=b, c*a=c and a*b=b, a*c=c. So a is the identity.
6The principal value of sin⁻¹(1/2) is:
A.π/6
B.π/3
C.π/4
D.π/2
Explanation: sin(π/6)=1/2 and π/6 ∈ [−π/2, π/2], the principal range of sin⁻¹. Hence sin⁻¹(1/2)=π/6.
7The principal value of cos⁻¹(−1/2) is:
A.2π/3
B.π/3
C.π/6
D.5π/6
Explanation: cos(2π/3)=−1/2 and 2π/3 ∈ [0, π], the principal range of cos⁻¹. Hence cos⁻¹(−1/2)=2π/3.
8If tan⁻¹ x + tan⁻¹ y = π/4 and xy < 1, then:
A.x + y = 1 − xy
B.x + y = 1 + xy
C.x − y = 1 + xy
D.xy = 1
Explanation: tan(tan⁻¹x + tan⁻¹y) = tan(π/4)=1. The addition formula gives (x+y)/(1−xy)=1 (valid when xy<1), so x+y = 1−xy.
9d/dx [sin⁻¹(x)] equals:
A.1/√(1 − x²)
B.−1/√(1 − x²)
C.1/(1 + x²)
D.1/√(1 + x²)
Explanation: Standard derivative: d/dx sin⁻¹(x) = 1/√(1−x²) for x ∈ (−1,1).
10The value of tan⁻¹(1) + tan⁻¹(2) + tan⁻¹(3) equals:
A.π
B.π/2
C.π/4
D.3π/4
Explanation: tan⁻¹1=π/4. Also tan⁻¹2 + tan⁻¹3 = π + tan⁻¹((2+3)/(1−6)) = π + tan⁻¹(−1) but since 2·3>1 the sum is in (π/2,π): tan⁻¹2+tan⁻¹3=π−π/4=3π/4. Total: π/4+3π/4=π.

About the RBSE SS Mathematics Exam

The Rajasthan RBSE Senior Secondary (Class 12) Mathematics examination (subject code 015) is conducted by the Board of Secondary Education, Rajasthan (RBSE), Ajmer. Official 2026 subject-wise main-examination statistics list this paper among assessed subjects (ARTS/SCIENCE/COMMERCE 2026 stats: 015 MATHEMATICS; unit marks 7+10+36+16+4+7). Scheme commonly Theory 80 + Sessional 20 = 100. Official delivery commonly English/Hindi. The official assessment is mixed written and/or practical/performance format, not pure multiple-choice. The 100 questions on this page are an English-language MCQ study adaptation for concept drills and self-assessment — not an official translation, format simulation, or substitute for writing, practical, project, or performance practice. Aligned to RBSE syllabus materials on rajeduboard.rajasthan.gov.in (Class 12: 12_2026.pdf; Praveshika path materials as applicable).

Exam sponsor: Board of Secondary Education, Rajasthan (RBSE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official RBSE mixed written theory paper (objective, short, and long constructed-response items as per subject design) with Theory 80 + Sessional 20 = 100 full marks, duration 3 hours 15 minutes. Local bank: English-language four-option MCQ study adaptation with explanations — not a full mixed-paper simulation or official-format substitute. Subject code 015. ARTS/SCIENCE/COMMERCE 2026 stats: 015 MATHEMATICS; unit marks 7+10+36+16+4+7.

Time Limit

3 hours 15 minutes (theory paper)

Passing Score

Minimum 33% marks in the subject as per RBSE examination regulations (confirm current session circulars). Where theory and practical are separate, candidates must pass each component as required by the subject scheme.

Exam / Certification Fees

As per RBSE annual examination fee notification for school/private candidates (Senior Secondary / Class 12 full board form fee is notified each cycle on rajeduboard.rajasthan.gov.in — confirm the current circular; subject papers are not separately priced on the statistics page)

Exam sponsor website

Reported exam pass rate: See RBSE subject-wise statistics for the current cycle on statistics2026.htm.. This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

10%

Relations and Functions

Types of relations/functions, inverse trigonometric functions.

12%

Algebra

Matrices and determinants.

45%

Calculus

Continuity, differentiability, applications of derivatives, integrals, applications of integrals, differential equations.

20%

Vectors and 3D Geometry

Vectors, lines and planes in space.

13%

Linear Programming & Probability

LPP graphical method and probability distributions basics.

Preparing for the RBSE SS Mathematics Exam

What You Need to Know

  • Passing score: Minimum 33% marks in the subject as per RBSE examination regulations (confirm current session circulars). Where theory and practical are separate, candidates must pass each component as required by the subject scheme.
  • Assessment: Official RBSE mixed written theory paper (objective, short, and long constructed-response items as per subject design) with Theory 80 + Sessional 20 = 100 full marks, duration 3 hours 15 minutes. Local bank: English-language four-option MCQ study adaptation with explanations — not a full mixed-paper simulation or official-format substitute. Subject code 015. ARTS/SCIENCE/COMMERCE 2026 stats: 015 MATHEMATICS; unit marks 7+10+36+16+4+7.
  • Time limit: 3 hours 15 minutes (theory paper)
  • Exam / certification fees: As per RBSE annual examination fee notification for school/private candidates (Senior Secondary / Class 12 full board form fee is notified each cycle on rajeduboard.rajasthan.gov.in — confirm the current circular; subject papers are not separately priced on the statistics page) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

RBSE SS Mathematics: Suggested Study Strategy

1Map every practice session to the official RBSE Mathematics unit list, not only popular coaching lists.
2After MCQ drills, write full answers from RBSE-style model papers under timed conditions.
3Verify facts (dates, formulas, definitions) against NCERT/RBSE prescribed books before trusting any third-party summary.
4Track weak categories and re-attempt missed items after 48 hours.
5For languages, literature, music, drawing, typewriting, and shorthand, MCQs support theory—still complete official skill practice.

Frequently Asked Questions

Is the official RBSE Senior Secondary (Class 12) Mathematics exam multiple-choice only?

No. Official RBSE papers mix objective and constructed-response tasks and may include practical/performance components. The 100 questions here are an English-language MCQ study adaptation for concept practice only.

What are full marks and duration for RBSE Mathematics?

Common scheme: Theory 80 + Sessional 20 = 100; 3 hours 15 minutes (theory paper). Confirm the exact scheme for code 015 in the current RBSE syllabus PDF on rajeduboard.rajasthan.gov.in.

What is the passing score?

Minimum 33% marks in the subject as per RBSE examination regulations (confirm current session circulars). Where theory and practical are separate, candidates must pass each component as required by the subject scheme.

How much does the exam cost?

As per RBSE annual examination fee notification for school/private candidates (Senior Secondary / Class 12 full board form fee is notified each cycle on rajeduboard.rajasthan.gov.in — confirm the current circular; subject papers are not separately priced on the statistics page).

Where are official statistics and syllabus?

Subject-wise 2026 result statistics and board materials are published by RBSE at https://rajeduboard.rajasthan.gov.in/statistics2026.htm and syllabus PDFs under anudeshika / books sections of https://rajeduboard.rajasthan.gov.in. Prefer primary board PDFs over third-party summaries.

Is this bank an official RBSE translation?

No. OpenExamPrep publishes one English-language practice bank per exam ID. Target-language terms and texts may appear when they are integral to the skill, but stems, explanations, and SEO copy are English study adaptations — not official translations or language-environment simulations.

How should I use MCQs for a mixed written/practical paper?

Use MCQs for daily concept drills and self-check. Also practise full written answers from RBSE model papers under timed conditions and complete required practicals, projects, or performances.