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100+ Free BSEB Inter Mathematics Practice Questions

Bihar School Examination Board (BSEB) Intermediate Mathematics (Elective) (Class 12 / Intermediate Public Examination — Mathematics, codes 121/327) practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: BSEB Inter Mathematics Exam

3h 15m

BSEB Intermediate Mathematics theory exam duration

BSEB Intermediate Mathematics model-paper style logistics (codes 121/327)

100 marks theory-only

MATHEMATICS (ELECTIVE) full marks; no practical component

BSEB Intermediate model-paper style materials (121/327-MATH)

50 + 30 + 20

Model-paper style split: any 50 objectives + 15 short×2 + 4 long×5

BSEB Intermediate Mathematics model paper pattern reporting

English MCQ adaptation

This free local bank is not the official Intermediate paper format

OpenExamPrep practice policy

BSEB Intermediate Mathematics (Elective, codes 121/327) is a Class 12 theory-only public exam subject: 100 marks, 3 hours 15 minutes, mixed objective + short + long answers (model-paper style any 50 of 100 objectives + 15×2 + 4×5). This free 2026 bank is an English MCQ study adaptation for NCERT/BSEB-aligned Class 12 Mathematics — not an official paper simulation.

Sample BSEB Inter Mathematics Practice Questions

Try these sample questions to test your BSEB Inter Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A relation R on the set A = {1, 2, 3} is defined by R = {(1,1), (2,2), (3,3), (1,2)}. Which property does R fail?
A.Reflexivity
B.Symmetry
C.Transitivity
D.It is an equivalence relation
Explanation: R is reflexive (all (a,a) present) and transitive, but (1,2) ∈ R while (2,1) ∉ R, so R is not symmetric.
2If f: R → R is given by f(x) = 3x + 5, then f is:
A.One-one but not onto
B.Onto but not one-one
C.Bijective
D.Neither one-one nor onto
Explanation: Strictly increasing linear functions with nonzero slope are one-one and onto R, so f is bijective. Inverse is f⁻¹(y) = (y−5)/3.
3If f(x) = x² and g(x) = sin x, then (f ∘ g)(x) equals:
A.sin(x²)
B.sin² x
C.x² sin x
D.sin x²
Explanation: (f ∘ g)(x) = f(g(x)) = f(sin x) = (sin x)² = sin² x.
4The function f: N → N defined by f(n) = n² 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: If n₁² = n₂² for natural numbers then n₁ = n₂, so f is one-one. It is not onto because 2 has no natural square root preimage under f.
5Let R be the relation on Z defined by a R b iff a − b is divisible by 5. Then R is:
A.Reflexive only
B.Symmetric only
C.An equivalence relation
D.Neither reflexive nor symmetric
Explanation: a−a=0 is divisible by 5 (reflexive); a−b divisible by 5 ⇒ b−a is (symmetric); and divisibility by 5 is transitive. So R is an equivalence relation (congruence mod 5).
6If f(x) = |x| − x, then f is:
A.One-one on R
B.Onto R
C.Neither one-one nor onto R
D.Bijective on R
Explanation: For x ≥ 0, f(x)=0; for x < 0, f(x)=−x−x=−2x > 0. So the range is [0, ∞), not all of R (not onto), and many positives map to 0 (not one-one).
7Number of binary operations on a set with 3 elements is:
A.3³
B.3⁹
C.9³
D.2⁹
Explanation: A binary operation is a function A×A → A. |A×A|=9, and each of 9 pairs can map to any of 3 elements, so 3⁹ operations.
8If f: R → R, f(x) = x³ − x, then f is:
A.One-one
B.Onto
C.Both one-one and onto
D.Neither one-one nor onto
Explanation: f′(x)=3x²−1 changes sign, so f is not monotonic and not one-one (e.g. f(0)=f(1)=0). As a cubic with leading coefficient 1, lim±∞ f = ±∞ so f is onto R by intermediate value theorem.
9The principal value of sin⁻¹(1/2) is:
A.π/6
B.π/3
C.π/2
D.5π/6
Explanation: Range of sin⁻¹ is [−π/2, π/2]; sin(π/6)=1/2, so sin⁻¹(1/2)=π/6.
10The principal value of cos⁻¹(−1/2) is:
A.π/3
B.2π/3
C.π/6
D.−π/3
Explanation: Range of cos⁻¹ is [0, π]. cos(2π/3)=−1/2, so cos⁻¹(−1/2)=2π/3.

About the BSEB Inter Mathematics Practice Questions

Verified exam format metadata for Bihar School Examination Board (BSEB) Intermediate Mathematics (Elective) (Class 12 / Intermediate Public Examination — Mathematics, codes 121/327) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.