All Practice Exams

Free Practice Questions for BSEB Matric Adv Math (Opt)

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
100+ Questions
100% Free

Loading practice questions...

Exam Review

Key Facts: BSEB Matric Adv Math (Opt) Exam

~3h 15m

Typical BSEB Matric theory exam duration

BSEB Matric exam pattern (secondary + board logistics)

Model 114

Illustrative OPT-ADV.MATH model-paper style code for Optional Advanced Mathematics

BSEB Matric model-paper labelling (confirm current year)

~30%

Carefully cited common Matric subject pass floor — verify current circular

Widely reported BSEB Matric practice; confirm current notification

English MCQ adaptation

This free local bank is not the official Matric paper format

OpenExamPrep practice policy

BSEB Matric Optional Advanced Mathematics (model 114 OPT-ADV.MATH style) is a Class 10 elective beyond core math, with a ~3h15m mixed-format theory paper and a carefully cited ~30% pass floor. This free 2026 bank is an English MCQ study adaptation for harder algebra, inequalities, geometry, trigonometry, coordinate geometry, series, and calculus intro where in syllabus.

Sample BSEB Matric Adv Math (Opt) Practice Questions

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

1If α and β are roots of x² − 5x + 6 = 0, what is α + β?
A.5
B.6
C.−5
D.1
Explanation: For ax² + bx + c = 0, sum of roots = −b/a. Here a = 1, b = −5, so α + β = 5. Factoring (x−2)(x−3)=0 also gives roots 2 and 3 whose sum is 5.
2If α and β are roots of x² − 5x + 6 = 0, what is αβ?
A.6
B.5
C.−6
D.11
Explanation: Product of roots αβ = c/a = 6/1 = 6. Roots are 2 and 3, and 2 × 3 = 6.
3If α and β are the roots of x² − 5x + 6 = 0, the value of α² + β² is:
A.13
B.5
C.6
D.25
Explanation: For x² − 5x + 6 = 0, sum α + β = 5 and product αβ = 6. Hence α² + β² = (α + β)² − 2αβ = 25 − 12 = 13.
4If (x − 2) is a factor of x³ − 3x² + x + 2, the other quadratic factor begins with which monic form after synthetic division?
A.x² − x − 1
B.x² − x + 1
C.x² + x − 1
D.x² − 3x + 1
Explanation: Synthetic division of x³ − 3x² + x + 2 by (x − 2): bring down 1; 1×2=2, −3+2=−1; −1×2=−2, 1+(−2)=−1; −1×2=−2, 2+(−2)=0. Quotient coefficients 1, −1, −1 give x² − x − 1.
5Solve for x: 2x + 3y = 12 and x − y = 1. The value of x is:
A.3
B.2
C.4
D.1
Explanation: From x − y = 1, x = y + 1. Substitute: 2(y+1) + 3y = 12 → 2y + 2 + 3y = 12 → 5y = 10 → y = 2 → x = 3.
6If x + 1/x = 3, then x² + 1/x² equals:
A.7
B.9
C.5
D.11
Explanation: (x + 1/x)² = x² + 2 + 1/x². So 9 = x² + 2 + 1/x² → x² + 1/x² = 7.
7If x + 1/x = 3, then x³ + 1/x³ equals:
A.18
B.27
C.24
D.9
Explanation: x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 27 − 9 = 18.
8The roots of x² − 4x + 1 = 0 are:
A.2 ± √3
B.2 ± √2
C.4 ± √3
D.±2
Explanation: x = [4 ± √(16 − 4)]/2 = [4 ± √12]/2 = [4 ± 2√3]/2 = 2 ± √3.
9If one root of x² − kx + 12 = 0 is 3, then k equals:
A.7
B.4
C.9
D.15
Explanation: If 3 is a root, 9 − 3k + 12 = 0 → 21 − 3k = 0 → k = 7. Alternatively, product of roots = 12 so other root = 4 and sum = 7 = k.
10Factorise completely over the reals: x³ − 8.
A.(x − 2)(x² + 2x + 4)
B.(x − 2)(x² − 2x + 4)
C.(x + 2)(x² − 2x + 4)
D.(x − 2)³
Explanation: Difference of cubes: a³ − b³ = (a − b)(a² + ab + b²) with a = x, b = 2 yields (x − 2)(x² + 2x + 4).

About the BSEB Matric Adv Math (Opt) Exam

Bihar Matric Optional Advanced Mathematics under BSEB extends Class 10 mathematics beyond the core Matric Mathematics syllabus. Typical scope includes harder algebra and quadratic theory, inequalities, Euclidean geometry extensions, trigonometry (including compound-angle work where prescribed), coordinate geometry, sequences and series, and elementary calculus ideas if listed in the year’s optional syllabus. Official assessment uses a mixed objective–subjective theory paper of about 3 hours 15 minutes. This free local bank provides English four-option MCQs with real calculation problems for revision; pair it with official model papers (e.g., 114 OPT-ADV.MATH style) via biharboardonline.com.

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

BSEB Matric Optional Advanced Mathematics is assessed at Class 10 under the Matric Public Examination. Secondary reporting describes a theory paper of about 3 hours 15 minutes mixing objective and subjective problem-solving — not a pure multiple-choice paper. Exact section splits and model-paper codes (e.g., 114 OPT-ADV.MATH) are set by BSEB for each academic year; always confirm on biharboardonline.com. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate the official mixed-format Matric paper.

Time Limit

About 3 hours 15 minutes (theory public examination; confirm year’s timetable)

Passing Score

Carefully treat about 30% as the commonly cited Matric subject pass floor; verify the current BSEB Matric notification for exact criteria.

Exam / Certification Fees

As notified by BSEB and paid through Matric schools for regular and compartment/improvement 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.

~20% of this local bank

Harder Algebra & Quadratic Theory

Polynomials, factorisation, simultaneous equations, discriminant and root relations, and multi-step algebraic problems.

~12% of this local bank

Inequalities & Absolute Value

Linear/quadratic inequalities, absolute-value equations, and interval solutions.

~15% of this local bank

Geometry

Triangle and circle theorems, similarity applications, and multi-step plane geometry calculations.

~18% of this local bank

Trigonometry

Identities, compound angles, height-and-distance, and trigonometric equations.

~15% of this local bank

Coordinate Geometry

Distance, section, area, straight lines, and circles in the plane.

~20% of this local bank

Sequences, Series & Calculus Intro

AP/GP sums and elementary limits/derivatives of simple polynomial functions where in optional scope.

Preparing for the BSEB Matric Adv Math (Opt) Exam

What You Need to Know

  • Passing score: Carefully treat about 30% as the commonly cited Matric subject pass floor; verify the current BSEB Matric notification for exact criteria.
  • Assessment: BSEB Matric Optional Advanced Mathematics is assessed at Class 10 under the Matric Public Examination. Secondary reporting describes a theory paper of about 3 hours 15 minutes mixing objective and subjective problem-solving — not a pure multiple-choice paper. Exact section splits and model-paper codes (e.g., 114 OPT-ADV.MATH) are set by BSEB for each academic year; always confirm on biharboardonline.com. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate the official mixed-format Matric paper.
  • Time limit: About 3 hours 15 minutes (theory public examination; confirm year’s timetable)
  • Exam / certification fees: As notified by BSEB and paid through Matric schools for regular and compartment/improvement 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

BSEB Matric Adv Math (Opt): Suggested Study Strategy

1Practise multi-step numericals with full working even when the MCQ only needs a final value — the same steps win subjective Matric marks.
2Memorise sum/product of roots, compound-angle formulas, distance/section formulas, and AP/GP sum formulas before timed drills.
3For inequalities, always convert to critical points and test intervals; sketch the number line for absolute-value cases.
4After each MCQ set, rewrite one related short Intermediate-style derivation so MCQ speed transfers to official written format.
5Download current BSEB optional model papers from biharboardonline.com and allocate revision by objective vs subjective weight for your year.

Frequently Asked Questions

How is BSEB Matric Optional Advanced Mathematics officially examined?

It is examined under the Bihar Matric Public Examination at Class 10 as an optional subject. Secondary sources describe a theory paper of about 3 hours 15 minutes with mixed objective and subjective problem-solving. Confirm the year’s model paper (e.g., 114 OPT-ADV.MATH style) and circulars on biharboardonline.com.

Is this practice bank the same format as the official Matric paper?

No. Official BSEB Matric papers mix objective and subjective sections. This bank is an English-language multiple-choice study adaptation for concepts and calculations only — not an official translation, blueprint replica, or full written-paper simulation.

What is the pass mark?

Treat about 30% carefully as the commonly cited Matric subject pass floor. Always verify the current BSEB Matric notification for exact criteria and any practical/internal components.

How are exam fees paid?

Fees are notified by BSEB and paid through Matric schools for regular and compartment/improvement sittings.

Where should I check official model papers?

Use biharboardonline.com for Matric model papers (including Advanced Mathematics optional codes such as 114 OPT-ADV.MATH style materials), syllabi, and exam circulars.