Free Practice Questions for Odisha BSE Madhyama Mathematics
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Key Facts: Odisha BSE Madhyama Mathematics Exam
Class X Madhyama
Sanskrit pathway secondary Mathematics under BSE Odisha
BSE Odisha Madhyama regulations / subject list
Mixed paper
Official format is objective + subjective (HSC-style), not pure MCQ
BSE Odisha Madhyama / Class X board pattern practice
Fee in Madhyama fee
Mathematics included in Madhyama exam fee as notified
BSE Odisha Madhyama fee / form-fill-up circulars
bseodisha.nic.in
Primary official portal for Madhyama syllabus, pattern, and schedules
Board of Secondary Education, Odisha
Class 10 scope
Algebra, geometry, mensuration, trig, statistics, probability
Madhyama Class X Mathematics syllabus scope
English MCQ adaptation
This free local bank is not the official mixed paper format
OpenExamPrep practice policy
BSE Odisha Madhyama
Administrator body for Madhyama Class X Mathematics
Board of Secondary Education, Odisha
BSE Odisha Madhyama Class X Mathematics is a Sanskrit-pathway board subject with mixed objective + subjective paper (HSC-style). Fee is included in the Madhyama exam fee as notified. Pass marks follow the year’s Madhyama circular. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.
Sample Odisha BSE Madhyama Mathematics Practice Questions
Try these sample questions to review concepts for the Odisha BSE Madhyama 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, HCF(867, 255) is:
2If a = 2³ × 3² × 5 and b = 2 × 3³ × 7, then HCF(a, b) is:
3If a = 2³ × 3² × 5 and b = 2 × 3³ × 7, then LCM(a, b) is:
4The decimal expansion of 7/8 is:
5Which of the following is irrational?
6If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is:
7The largest number that divides 70 and 125 leaving remainders 5 and 8 respectively is:
8If α and β are zeros of x² − 5x + 6, then α + β equals:
9If α and β are zeros of x² − 5x + 6, then αβ equals:
10A quadratic polynomial whose zeros are 2 and −3 is:
About the Odisha BSE Madhyama Mathematics Exam
Odisha BSE Madhyama Mathematics is the Class X Mathematics paper for the Sanskrit pathway Madhyama secondary examination conducted by the Board of Secondary Education, Odisha. It assesses Class 10-level mathematics aligned to the Madhyama Class X subject-wise syllabus: real numbers, polynomials, linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry and its applications, circles, areas related to circles, surface areas and volumes, statistics, and probability — similar in scope to HSC Class 10 mathematics. The official assessment is a mixed objective + subjective board paper (HSC-style pattern; commonly ~50 + ~50 marks for related board maths — confirm Madhyama circular). Fees are included in the Madhyama examination fee as notified; schedules and forms appear on bseodisha.nic.in. The 100 questions on this page are a free English-language multiple-choice study adaptation with step-by-step worked calculations; they are not a full simulation of the official mixed Madhyama paper.
Exam sponsor: Board of Secondary Education, Odisha (BSE Odisha) — Madhyama (Sanskrit pathway). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
Official Odisha BSE Madhyama Class X Mathematics is assessed as a mixed written board paper: objective MCQ-style items plus subjective short and long answers, under Madhyama regulations and the Subject-wise syllabus for Madhyama Class X. Pattern is similar to HSC-style BSE Odisha Class X board papers (commonly described for related board maths as about 50 marks objective + about 50 marks subjective — confirm the Madhyama Pattern of Question PDF for the year). Duration is as on the Madhyama date sheet (often about 2½–3 hours for Class X board theory). English and Odia media may be available as notified. This practice bank is an English-language MCQ study adaptation for concept and multi-step calculation fluency — it does not simulate official attempt limits, long constructed responses, or internal assessment.
Time Limit
As prescribed on the Madhyama Mathematics date sheet (commonly about 2½–3 hours for related Class X board theory papers — confirm year’s notice)
Passing Score
As notified by BSE Odisha for Madhyama examinations for the year (including any per-subject minimum in Mathematics); verify the current Madhyama pass/promotion circular.
Exam / Certification Fees
Included in the Madhyama examination fee as notified by BSE Odisha (no separate open-marketplace Mathematics product fee for regular Madhyama candidates).
Exam sponsor websiteFees, 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.
Real Numbers
Euclid’s algorithm, HCF/LCM via primes, HCF–LCM product relation, irrationality, and terminating decimals.
Polynomials
Zeros–coefficient relations, forming monic quadratics from zeros, and remainder theorem evaluations.
Linear Equations in Two Variables
Substitution and elimination, consistency conditions with parameter k, and two-variable word problems.
Quadratic Equations
Factorization, quadratic formula, discriminant, nature of roots, and consecutive-integer applications.
Arithmetic Progressions
nth term aₙ = a+(n−1)d, sum Sₙ, recovering d or n, and special term relations.
Triangles
BPT, similar-triangle area and perimeter ratios, Pythagoras, and median-to-hypotenuse results.
Coordinate Geometry
Distance, midpoint, section formula, area, centroid, and collinearity.
Trigonometry
Standard values, Pythagorean identity, basic identities, and multi-step evaluations.
Applications of Trigonometry
Elevation and depression, ladders, shadows, and two-angle tower-on-building problems.
Circles
Tangent–radius theorem, equal tangents, length of tangents, chords, and tangential quadrilaterals.
Areas Related to Circles
Circumference and area, sectors, minor segments, and quarter-circle grazing models.
Surface Areas and Volumes
Cube, cylinder CSA, cone and sphere volumes, hemisphere TSA, and recasting between solids.
Statistics
Mean, median, mode, grouped mean Σfx/Σf, median class, and mean under linear transformations.
Probability
Classical probability with coins, dice, cards, bags, and two-dice sum events.
Preparing for the Odisha BSE Madhyama Mathematics Exam
What You Need to Know
- Passing score: As notified by BSE Odisha for Madhyama examinations for the year (including any per-subject minimum in Mathematics); verify the current Madhyama pass/promotion circular.
- Assessment: Official Odisha BSE Madhyama Class X Mathematics is assessed as a mixed written board paper: objective MCQ-style items plus subjective short and long answers, under Madhyama regulations and the Subject-wise syllabus for Madhyama Class X. Pattern is similar to HSC-style BSE Odisha Class X board papers (commonly described for related board maths as about 50 marks objective + about 50 marks subjective — confirm the Madhyama Pattern of Question PDF for the year). Duration is as on the Madhyama date sheet (often about 2½–3 hours for Class X board theory). English and Odia media may be available as notified. This practice bank is an English-language MCQ study adaptation for concept and multi-step calculation fluency — it does not simulate official attempt limits, long constructed responses, or internal assessment.
- Time limit: As prescribed on the Madhyama Mathematics date sheet (commonly about 2½–3 hours for related Class X board theory papers — confirm year’s notice)
- Exam / certification fees: Included in the Madhyama examination fee as notified by BSE Odisha (no separate open-marketplace Mathematics product fee for regular Madhyama candidates). 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
Odisha BSE Madhyama Mathematics: Suggested Study Strategy
Frequently Asked Questions
Is the official Odisha BSE Madhyama Mathematics exam pure multiple-choice?
No. Official Madhyama Mathematics is a mixed board paper with objective MCQ-style items and subjective short/long answers under BSE Odisha Madhyama rules. This bank is an English-language multiple-choice study adaptation for concepts and multi-step calculations only — not an official paper simulation.
How does Madhyama Mathematics relate to regular BSE Odisha HSC Mathematics?
Both are Class X secondary mathematics under BSE Odisha, but Madhyama is the Sanskrit pathway stream with its own Madhyama syllabus and pattern documents. Topic depth is broadly Class 10 algebra–geometry–mensuration–trig–statistics level. Use Madhyama-specific syllabi and pattern PDFs on bseodisha.nic.in.
What is the exam pattern for Madhyama Mathematics?
Confirm the year’s Pattern of Question Paper for Madhyama Examination on bseodisha.nic.in. Related BSE Odisha Class X board mathematics papers are commonly described as about 50 marks objective (MCQ) plus about 50 marks subjective for a 100-mark theory total — verify Madhyama-specific marks distribution for your year.
How long is the Madhyama Mathematics paper?
Duration is as printed on the Madhyama date sheet for Mathematics. Related Class X board theory papers under BSE Odisha are often about 2½–3 hours. Always check the year’s Madhyama timetable.
What is the passing score for Madhyama Mathematics?
Pass and promotion rules (including any minimum in Mathematics) are notified by BSE Odisha for Madhyama each year. Verify the current result/pass circular on bseodisha.nic.in or bseodisha.ac.in.
How much does Madhyama Mathematics cost?
Mathematics is included in the Madhyama examination fee as notified by BSE Odisha. It is not a separate marketplace product for regular Madhyama candidates. Check the Madhyama form-fill-up / fee circular for the year.
What syllabus does this bank follow?
It is aligned to Madhyama Class X Mathematics topics at HSC Class 10 level: real numbers, polynomials, linear equations, quadratics, arithmetic progressions, triangles, coordinate geometry, trigonometry and applications, circles, areas related to circles, surface areas and volumes, statistics, and probability, per Subject-wise syllabus Madhyama Class X references on BSE Odisha portals.
Where can I find official Madhyama notices?
Use https://www.bseodisha.nic.in and https://www.bseodisha.ac.in — especially the syllabus and pattern of question pages that list Madhyama Class X subject-wise syllabus and Madhyama pattern PDFs.
Does this bank replace official Madhyama model papers?
No. Use this free English MCQ bank for concept and calculation fluency, then practice official-style mixed Madhyama papers under timed conditions.