Free Practice Questions for RBSE Secondary Mathematics

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Exam pass rate: See RBSE subject-wise statistics for the current cycle on statistics2026.htm.

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Key Facts: RBSE Secondary Mathematics Exam

RBSE subject code for Mathematics

RBSE Secondary/Praveshika 2026 subject-wise statistics

80 + 20

Typical Theory + Sessional full marks pattern (total 100)

RBSE Class 10 syllabus examination scheme

3 h 15 m

Typical theory paper duration

RBSE Class 10 syllabus

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 format

OpenExamPrep assessment-format policy

RBSE Secondary (Class 10) Mathematics (code 9): mixed board paper, typically Theory 80 + Sessional 20 = 100, 3h15m. Pass about 33% per RBSE rules. Fee as per board notification. Free English MCQ study aid — not a full mixed-paper simulation.

Sample RBSE Secondary Mathematics Practice Questions

Try these sample questions to review concepts for the RBSE Secondary 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:

A.17

B.51

C.85

D.15

Explanation: 867 = 255×3 + 102; 255 = 102×2 + 51; 102 = 51×2 + 0. Last non-zero remainder is 51, so HCF = 51.

2If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is:

A.120

B.180

C.150

D.200

Explanation: HCF × LCM = product of the numbers, so LCM = 1800 ÷ 12 = 150.

3The decimal expansion of 7/8 is:

A.0.875 with bar (repeating)

B.0.87 (terminating)

C.0.777... (repeating)

D.0.875 (terminating)

Explanation: 7 ÷ 8 = 0.875. Denominator 8 = 2³ has only prime factor 2, so the decimal terminates.

4√2 is: Choose the correct answer.

A.an irrational number

B.a rational number

C.an integer

D.a terminating decimal

Explanation: √2 cannot be written as p/q in lowest terms; its decimal is non-terminating non-repeating, so it is irrational.

5The HCF of the smallest composite number and the smallest prime number is:

A.1

B.2

C.3

D.4

Explanation: Smallest prime = 2; smallest composite = 4. HCF(4, 2) = 2.

6If p = ab² and q = a³b where a and b are primes, then LCM(p, q) is:

A.ab

B.a²b²

C.a³b²

D.a³b³

Explanation: p = a¹b², q = a³b¹. LCM takes highest powers: a³b².

7The sum of the exponents of the prime factors in the prime factorisation of 196 is:

A.3

B.5

C.6

D.4

Explanation: 196 = 2² × 7². Sum of exponents = 2 + 2 = 4.

8n² − 1 is divisible by 8 if n is:

A.an odd natural number

B.an even natural number

C.a natural number

D.a prime number

Explanation: If n is odd, n = 2k+1, then n²−1 = (n−1)(n+1) = 4k(k+1). Consecutive integers k(k+1) are even, so the product is divisible by 8.

9The zeroes of the polynomial x² − 2x − 8 are:

A.2 and −4

B.−2 and 4

C.2 and 4

D.−2 and −4

Explanation: x² − 2x − 8 = (x − 4)(x + 2). Zeroes: x = 4 and x = −2.

10If one zero of x² + 3x + k is 2, then k is:

A.10

B.−5

C.−10

D.5

Explanation: f(2) = 0: 4 + 6 + k = 0 ⇒ k = −10.

About the RBSE Secondary Mathematics Exam

The Rajasthan RBSE Secondary (Class 10) Mathematics examination (subject code 9) is conducted by the Board of Secondary Education, Rajasthan (RBSE), Ajmer. Official 2026 subject-wise main-examination statistics list this paper among assessed subjects. Typical Class 10 schemes use Theory 80 + Sessional 20 = 100 marks and 3 hours 15 minutes. Aligned to RBSE Class 10 Mathematics units in the official 2025-26 syllabus (Real Numbers through Probability). Official delivery commonly Hindi/English. Bank must include genuine calculation items, not only definitions. The official assessment is mixed written format, not pure multiple-choice. The 100 questions on this page are an English-language MCQ study adaptation for concept drills and self-assessment. Include worked numeric MCQs for AP, quadratics, trigonometry, mensuration, and probability.

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/Internal 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 9. Aligned to RBSE Class 10 Mathematics units in the official 2025-26 syllabus (Real Numbers through Probability).

Time Limit

3 hours 15 minutes (theory paper)

Passing Score

Minimum 33% marks in the subject as per RBSE Secondary/Praveshika examination regulations (confirm current session circulars)

Exam / Certification Fees

As per RBSE annual examination fee notification for school/private candidates (commonly published figures for the 2026 Secondary/Praveshika cycle have been about INR 600 regular / INR 650 private for the full board form — confirm the current circular on rajeduboard.rajasthan.gov.in; subject papers are not separately priced on this 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.

Official sources

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.

28%

Number Systems & Algebra

Real numbers, polynomials, pair of linear equations, quadratic equations, arithmetic progressions.

18%

Geometry & Constructions Concepts

Triangles similarity/criteria, circles, constructions concepts.

16%

Trigonometry

Trigonometric ratios, identities, heights and distances.

16%

Mensuration

Areas related to circles, surface areas and volumes.

22%

Statistics, Probability & Coordinate Geometry

Mean/median/mode concepts, probability, coordinate geometry distance/section formula.

Preparing for the RBSE Secondary Mathematics Exam

What You Need to Know

Passing score: Minimum 33% marks in the subject as per RBSE Secondary/Praveshika examination regulations (confirm current session circulars)
Assessment: Official RBSE mixed written theory paper (objective, short, and long constructed-response items as per subject design) with Theory 80 + Sessional/Internal 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 9. Aligned to RBSE Class 10 Mathematics units in the official 2025-26 syllabus (Real Numbers through Probability).
Time limit: 3 hours 15 minutes (theory paper)
Exam / certification fees: As per RBSE annual examination fee notification for school/private candidates (commonly published figures for the 2026 Secondary/Praveshika cycle have been about INR 600 regular / INR 650 private for the full board form — confirm the current circular on rajeduboard.rajasthan.gov.in; subject papers are not separately priced on this 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 Secondary 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 3h15m timing.

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 and literature, revise prescribed textbook lessons and grammar separately.

Frequently Asked Questions

Is the official RBSE Secondary (Class 10) Mathematics exam multiple-choice only?

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

What are full marks and duration for RBSE Mathematics?

RBSE Class 10 / Praveshika subject schemes in the official syllabus commonly use Theory 80 + Sessional 20 = 100 marks with a 3 hour 15 minute theory paper. Confirm the exact scheme for code 9 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 Secondary/Praveshika examination regulations (confirm current session circulars).

How much does the exam cost?

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.

Free Practice Questions for RBSE Secondary Mathematics

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