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Key Facts: Bihar BSEB Matric Mathematics Exam

~100 marks

Commonly reported theory total for Matric Mathematics

BSEB Matric pattern reporting (confirm current circular)

3 h 15 m

Typical exam duration including reading time

BSEB Matric exam logistics (secondary-consistent)

~30%

Commonly reported minimum per-subject pass mark

BSEB pass criteria reporting (confirm current circular)

110-MATHEMATICS

Official Matric model paper code listing

BSEB Matric model papers on biharboardonline.com

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

BSEB Matric Mathematics is a Class 10 board subject with a mixed objective + subjective paper, commonly about 3 hours 15 minutes including reading time, and theory often described as ~100 marks. Pass is commonly ~30% per subject plus aggregate rules as notified. Fees are paid through schools. This free 2026 bank is an English MCQ study adaptation — not an official OMR/subjective paper simulation.

Sample Bihar BSEB Matric Mathematics Practice Questions

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

1Using Euclid's division algorithm, the HCF of 96 and 404 is:
A.4
B.8
C.12
D.16
Explanation: Apply Euclid's algorithm: 404 = 96 × 4 + 20; 96 = 20 × 4 + 16; 20 = 16 × 1 + 4; 16 = 4 × 4 + 0. The last non-zero remainder is 4, so HCF(96, 404) = 4.
2If two positive integers a and b are written as a = p³q² and b = p q³, where p and q are primes, then LCM(a, b) is:
A.p³q³
B.p q
C.p³q²
D.p²q³
Explanation: LCM takes the highest power of each prime factor: max(3,1)=3 for p and max(2,3)=3 for q. Therefore LCM(a, b) = p³q³.
3The decimal expansion of 17/8 terminates after how many places?
A.1
B.2
C.3
D.It is non-terminating
Explanation: 8 = 2³, so the denominator in lowest terms has only 2 as a prime factor. A rational number has a terminating decimal after k places where k is the higher of the powers of 2 and 5 in the denominator; here k = 3. Indeed 17/8 = 2.125.
4Which of the following is an irrational number?
A.√(49/121)
B.√8 / √2
C.√5
D.0.333... (3 repeating)
Explanation: √5 cannot be written as a ratio of two integers because 5 is not a perfect square. √(49/121) = 7/11, √8/√2 = √4 = 2, and 0.333... = 1/3 are all rational.
5If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is:
A.150
B.120
C.180
D.240
Explanation: For positive integers, HCF(a, b) × LCM(a, b) = a × b. Therefore LCM(a, b) = 1800 / 12 = 150.
6The LCM of 8, 12 and 20 is:
A.60
B.80
C.120
D.240
Explanation: 8 = 2³, 12 = 2² × 3, 20 = 2² × 5. LCM takes highest powers: 2³ × 3 × 5 = 8 × 3 × 5 = 120.
7If the zeros of the quadratic polynomial x² − 5x + 6 are α and β, then α + β equals:
A.5
B.6
C.−5
D.−6
Explanation: For ax² + bx + c with a = 1, b = −5, c = 6, the sum of zeros α + β = −b/a = 5. (The zeros are 2 and 3.)
8A quadratic polynomial whose zeros are 3 and −2 is:
A.x² − x − 6
B.x² + x − 6
C.x² − x + 6
D.x² + 5x + 6
Explanation: Sum of zeros = 3 + (−2) = 1 and product = 3 × (−2) = −6. The monic polynomial is x² − (sum)x + (product) = x² − x − 6.
9If one zero of the polynomial 2x² + 3x + k is 1/2, then k equals:
A.−2
B.2
C.−1
D.1
Explanation: If 1/2 is a zero, substitute x = 1/2: 2(1/4) + 3(1/2) + k = 0 ⇒ 1/2 + 3/2 + k = 0 ⇒ 2 + k = 0 ⇒ k = −2.
10On dividing 2x³ + 3x² − 2x − 3 by x + 1, the remainder is:
A.0
B.1
C.−1
D.2
Explanation: By the remainder theorem, remainder = p(−1) = 2(−1)³ + 3(1) − 2(−1) − 3 = −2 + 3 + 2 − 3 = 0. So x + 1 is a factor.

About the Bihar BSEB Matric Mathematics Exam

Bihar BSEB Matric Mathematics is the Class 10 public examination paper conducted by the Bihar School Examination Board. It assesses Class 10 mathematics aligned to BSEB/NCERT-style units: real numbers, polynomials, linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry and its applications, circles, constructions, areas related to circles, surface areas and volumes, statistics, and probability. The official assessment is a mixed objective + subjective paper (model paper code 110-MATHEMATICS appears on official Matric model paper listings), commonly lasting about 3 hours 15 minutes including reading time, with Hindi/English medium options. Theory is widely described as about 100 marks, with secondary sources also noting possible internal components — always confirm the current blueprint on biharboardonline.com. The 100 questions on this page are an English-language multiple-choice study adaptation with step-by-step worked calculations for concept drills and self-assessment; they are not a full simulation of the official mixed paper.

Exam sponsor: Bihar School Examination Board (BSEB). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official BSEB Matric Mathematics is assessed as a mixed paper: objective OMR-style multiple-choice items (secondary sources often describe a large objective set of which a subset may be answered for 1 mark each) plus subjective short and long answers. Duration is commonly about 3 hours 15 minutes including reading time. Theory is widely reported as about 100 marks; some secondary reporting also mentions internal assessment (for example ~80 theory + ~20 internal) — confirm the year’s notice on biharboardonline.com. Hindi and English media are typically available. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official OMR attempt limits, subjective long answers, or internal assessment.

Time Limit

3 hours 15 minutes (including reading time)

Passing Score

Commonly reported as about 30% in each subject together with aggregate rules as published by BSEB for the year; verify the current pass criteria circular.

Exam / Certification Fees

As notified by BSEB and paid through schools for regular Matric sittings (no single fixed public subject fee for all categories).

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.

~6% of this local bank

Real Numbers

Euclid’s division lemma and algorithm, fundamental theorem of arithmetic, HCF and LCM using prime factorization, irrationality proofs, and terminating versus non-terminating recurring decimals.

~4% of this local bank

Polynomials

Zeros of linear and quadratic polynomials, relationship between zeros and coefficients, and the division algorithm for polynomials.

~7% of this local bank

Linear Equations in Two Variables

Graphical representation of a pair of linear equations, algebraic solution by substitution and elimination, and conditions for unique, infinite, or no solution.

~8% of this local bank

Quadratic Equations

Standard form ax² + bx + c = 0, factorization, completing the square, quadratic formula, and nature of roots from discriminant Δ = b² − 4ac.

~7% of this local bank

Arithmetic Progressions

General term aₙ = a + (n − 1)d, sum Sₙ = n/2 [2a + (n − 1)d], and application problems.

~9% of this local bank

Triangles

Basic proportionality (Thales) theorem, criteria for similarity (AAA, SAS, SSS), areas of similar triangles, and the Pythagorean theorem.

~8% of this local bank

Coordinate Geometry

Distance formula, section (internal) formula, midpoint, area of a triangle from coordinates, and collinearity.

~8% of this local bank

Trigonometry

Trigonometric ratios of acute angles, standard values (0°, 30°, 45°, 60°, 90°), complementary-angle relations, and fundamental identities.

~7% of this local bank

Applications of Trigonometry

Heights and distances: angle of elevation and depression, two-position problems, and multi-step right-triangle calculations.

~7% of this local bank

Circles

Tangent perpendicular to radius at the point of contact, equal tangents from an external point, and related length properties.

~3% of this local bank

Constructions

Conceptual questions on dividing a line segment in a given ratio, constructing tangents from an external point, and constructing a triangle similar to a given triangle.

~6% of this local bank

Areas Related to Circles

Area and circumference formulas, area of a sector and segment, and areas of combinations of circles with triangles or other plane figures.

~6% of this local bank

Surface Areas and Volumes

Surface area and volume of cubes, cuboids, cylinders, cones, spheres, and hemispheres, including simple combinations of solids.

~7% of this local bank

Statistics

Mean of grouped data (direct and assumed-mean methods), median and mode of grouped frequency distributions, cumulative frequency, and ogives.

~7% of this local bank

Probability

Classical definition P(E) = n(E)/n(S), complementary events, and simple experiments with coins, dice, cards, and equally likely outcomes.

Preparing for the Bihar BSEB Matric Mathematics Exam

What You Need to Know

  • Passing score: Commonly reported as about 30% in each subject together with aggregate rules as published by BSEB for the year; verify the current pass criteria circular.
  • Assessment: Official BSEB Matric Mathematics is assessed as a mixed paper: objective OMR-style multiple-choice items (secondary sources often describe a large objective set of which a subset may be answered for 1 mark each) plus subjective short and long answers. Duration is commonly about 3 hours 15 minutes including reading time. Theory is widely reported as about 100 marks; some secondary reporting also mentions internal assessment (for example ~80 theory + ~20 internal) — confirm the year’s notice on biharboardonline.com. Hindi and English media are typically available. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official OMR attempt limits, subjective long answers, or internal assessment.
  • Time limit: 3 hours 15 minutes (including reading time)
  • Exam / certification fees: As notified by BSEB and paid through schools for regular Matric sittings (no single fixed public subject fee for all categories). 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

Bihar BSEB Matric Mathematics: Suggested Study Strategy

1Practice official BSEB model papers (including 110-MATHEMATICS) under timed conditions so you can switch from MCQ drills to written short and long answers.
2Memorize standard trigonometric values and identities; most heights-and-distances errors come from wrong complementary ratios.
3For algebra, always check the discriminant and consistency conditions before solving; label each step clearly for partial-credit style subjective answers.
4In mensuration, write formulas first, substitute carefully, and keep π = 22/7 or 3.14 consistent with the question.
5Build a formula sheet for distance, section, area of triangle, Sₙ of AP, and mean/median/mode of grouped data and revise it weekly.

Frequently Asked Questions

Is the official BSEB Matric Mathematics exam pure multiple-choice?

No. Official BSEB Matric Mathematics is a mixed paper with objective OMR-style items and subjective short/long answers. This bank is an English-language multiple-choice study adaptation for concepts and calculations only — not an official OMR simulation, attempt-rule replica, or full subjective paper.

How long is the BSEB Matric Mathematics paper?

The Mathematics public exam is commonly 3 hours 15 minutes including reading time, as reflected in widely reported BSEB Matric logistics and model-paper practice. Confirm the year’s timetable on biharboardonline.com.

What is the passing score for BSEB Matric Mathematics?

Secondary-consistent reporting commonly describes about 30% in each subject together with overall aggregate rules as notified by BSEB. Always verify the current result/pass criteria circular for your examination year.

How many marks is Matric Mathematics?

Theory is widely described as about 100 marks for the Mathematics paper. Some secondary sources also mention an internal assessment contribution (for example ~80 theory + ~20 internal). Exact section marks and internal weightage are as published by BSEB for the year — check official model papers (code 110-MATHEMATICS) and circulars.

In which languages is BSEB Matric Mathematics offered?

Hindi and English medium options are typically available under BSEB Matric. This practice bank is written in English only.

How much does the BSEB Matric Mathematics exam cost?

Mathematics is not sold as a separate marketplace product. Fees are notified by BSEB and paid through schools for regular candidates. Check biharboardonline.com for the current fee circular.

What syllabus does this bank follow?

It is aligned to BSEB/NCERT-style Class 10 Mathematics: real numbers, polynomials, linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry and applications, circles, constructions, areas related to circles, surface areas and volumes, statistics, and probability.