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Free Practice Questions for Haryana BSEH Secondary Mathematics — Standard

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Key Facts: Haryana BSEH Secondary Mathematics — Standard Exam

3 hours

Typical exam duration for Mathematics (Standard)

BSEH Secondary exam logistics / date sheet

~33%

Commonly reported minimum per-subject pass mark

BSEH pass criteria reporting (confirm current circular)

Code 009

Date-sheet code for Mathematics (Standard)

BSEH Secondary date sheet

80+20 pattern

Commonly described theory + internal split (confirm year notice)

BSEH Secondary assessment reporting

Standard ≠ Basic

Distinct paper and distinct practice bank from Mathematics (Basic)

BSEH Mathematics Basic & Standard syllabus page

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

BSEH Secondary Mathematics (Standard) is a Class 10 board subject distinct from Basic, with a mixed objective + subjective paper lasting about 3 hours (code 009). Pass is commonly ~33% per subject plus aggregate rules as notified. Fees are paid through schools. This free 2026 bank is an English MCQ Standard-level study adaptation — not an official paper simulation.

Sample Haryana BSEH Secondary Mathematics — Standard Practice Questions

Try these sample questions to review concepts for the Haryana BSEH Secondary Mathematics — Standard 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.51
B.17
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 a = 2³×3²×5 and b = 2×3³×7, then HCF(a, b) is:
A.2×3²
B.2³×3³
C.2×3
D.2³×3²×5×7
Explanation: HCF uses minimum exponents of common primes: 2¹×3² = 18.
3The decimal expansion of 13/625 terminates after how many places?
A.2
B.3
C.4
D.5
Explanation: 625 = 5⁴, so 13/625 = (13×2⁴)/10⁴ = 0.0208, which terminates after 4 decimal places.
4Which of the following is irrational?
A.√(36/49)
B.√12/√3
C.√2 + √8
D.0.272727…
Explanation: √2 + √8 = √2 + 2√2 = 3√2, which is irrational. √(36/49)=6/7; √12/√3=2; 0.27̅=3/11.
5If HCF(336, 504) = 168, then LCM(336, 504) is:
A.1008
B.2016
C.504
D.1680
Explanation: LCM = ab/HCF = 336×504/168. Since 336/168 = 2, LCM = 2×504 = 1008.
6For every natural number n ≥ 1, √(n² + n) is:
A.always an integer
B.never an integer
C.an integer only when n is square
D.always rational non-integer
Explanation: For n ≥ 1, n² < n²+n < (n+1)², so n²+n lies between consecutive perfect squares and is never itself a perfect square. Hence √(n²+n) is never an integer.
7If α and β are zeros of 2x² − 5x + 3, then 1/α + 1/β equals:
A.5/3
B.3/5
C.2/3
D.5/2
Explanation: 1/α + 1/β = (α+β)/(αβ). Sum = 5/2, product = 3/2, so (5/2)/(3/2) = 5/3.
8A monic quadratic with zeros −2 and 5 is:
A.x² − 3x − 10
B.x² + 3x − 10
C.x² − 3x + 10
D.x² + 7x − 10
Explanation: Sum = 3, product = −10. Form x² − (sum)x + product = x² − 3x − 10.
9When p(x) = x³ − 3x² + x + 1 is divided by (x − 1), the remainder is:
A.0
B.1
C.−1
D.2
Explanation: By the remainder theorem, p(1) = 1 − 3 + 1 + 1 = 0.
10If the sum of the zeros of kx² + 2x + 3k (k ≠ 0) equals their product, then k is:
A.−2/3
B.2/3
C.−3/2
D.3/2
Explanation: Sum = −2/k, product = 3. Set equal: −2/k = 3 ⇒ k = −2/3.

About the Haryana BSEH Secondary Mathematics — Standard Exam

Haryana BSEH Secondary Mathematics (Standard) is the Class 10 public examination mathematics paper for candidates who opt for the Standard track under the Board of School Education Haryana. It assesses NCERT-aligned Class 10 mathematics at Standard depth: 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 — with more multi-step reasoning and applications than Mathematics (Basic). The official assessment is a mixed objective + subjective paper lasting 3 hours (date-sheet code 009 Mathematics Standard). Fees and exact blueprints are notified by BSEH on bseh.org.in; pass marks are commonly described as about 33% per subject with aggregate rules. The 100 questions on this page are a free English-language multiple-choice study adaptation with step-by-step worked calculations for Standard-level drills; they are not a full simulation of the official mixed paper.

Exam sponsor: Board of School Education Haryana (BSEH). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official BSEH Secondary Mathematics (Standard) is assessed as a mixed paper: objective-style items plus subjective short and long answers, lasting 3 hours (date-sheet code 009). Standard is a distinct paper from Mathematics (Basic), emphasizing multi-step reasoning and harder applications on the shared NCERT Class 10 topic list. Theory is widely associated with an ~80 mark written component plus ~20 internal assessment — confirm the year’s circular on bseh.org.in. Hindi and English media are typically available. This practice bank is an English-language MCQ study adaptation for Standard-level concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or internal assessment.

Time Limit

3 hours

Passing Score

Commonly reported as about 33% in each subject together with aggregate rules as published by BSEH for the year; verify the current pass criteria circular.

Exam / Certification Fees

As notified by BSEH and paid through schools for regular Secondary 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 algorithm, fundamental theorem of arithmetic, HCF/LCM via primes, irrationality arguments, and terminating versus non-terminating decimals.

~4% of this local bank

Polynomials

Zeros and coefficients (including reciprocal and sum–product conditions), forming monic quadratics, and remainder/factor theorems.

~7% of this local bank

Linear Equations in Two Variables

Substitution and elimination, consistency conditions with parameter k, graphical intersections, and multi-step fraction word problems.

~8% of this local bank

Quadratic Equations

Factorization, discriminant and equal-roots parameters, forming equations from irrational conjugate roots, and consecutive-integer product problems.

~7% of this local bank

Arithmetic Progressions

nth term, sum formulas, recovering d from Sₙ, special term relations (e.g. 7a₇ = 11a₁₁), and counting AP applications.

~9% of this local bank

Triangles

BPT, AAA similarity, perimeter and area ratios of similar triangles, Pythagoras applications including distance between tops of poles.

~8% of this local bank

Coordinate Geometry

Distance, midpoint, section formula, area, centroid, and collinearity conditions.

~8% of this local bank

Trigonometry

Standard values, cofunction and Pythagorean identities, solving for angles from tan(A±B), and tan-substitution expressions.

~7% of this local bank

Applications of Trigonometry

Elevation and depression, tower-on-building two-angle problems, ladders, broken tree, window problems, and dual-altitude shadows.

~7% of this local bank

Circles

Tangent–radius theorem, equal tangents, length of tangents, concentric chord-tangent, angle between tangents, and tangential quadrilateral side sums.

~3% of this local bank

Constructions

Conceptual m:n division of a segment, similar-triangle scale-factor construction steps, and number of tangents from a point.

~6% of this local bank

Areas Related to Circles

Sector and segment areas, circumference–diameter relations, and quarter-circle grazing models.

~6% of this local bank

Surface Areas and Volumes

Sphere, cone, cylinder, hemisphere formulas and melting/recasting volume balance problems.

~7% of this local bank

Statistics

Mean, median, modal class, missing-value mean, mean under linear transformations, and grouped median formula roles.

~7% of this local bank

Probability

Classical probability with dice, coins, cards, bags, complementary events, and without-replacement compound draws.

Preparing for the Haryana BSEH Secondary Mathematics — Standard Exam

What You Need to Know

  • Passing score: Commonly reported as about 33% in each subject together with aggregate rules as published by BSEH for the year; verify the current pass criteria circular.
  • Assessment: Official BSEH Secondary Mathematics (Standard) is assessed as a mixed paper: objective-style items plus subjective short and long answers, lasting 3 hours (date-sheet code 009). Standard is a distinct paper from Mathematics (Basic), emphasizing multi-step reasoning and harder applications on the shared NCERT Class 10 topic list. Theory is widely associated with an ~80 mark written component plus ~20 internal assessment — confirm the year’s circular on bseh.org.in. Hindi and English media are typically available. This practice bank is an English-language MCQ study adaptation for Standard-level concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or internal assessment.
  • Time limit: 3 hours
  • Exam / certification fees: As notified by BSEH and paid through schools for regular Secondary 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

Haryana BSEH Secondary Mathematics — Standard: Suggested Study Strategy

1Practice official BSEH model/sample papers for Mathematics (Standard) under timed 3-hour conditions so you can switch from MCQ drills to written short and long answers.
2Standard rewards multi-step setups: write formulas first, then substitute carefully (especially in heights-and-distances and mensuration).
3Memorize standard trigonometric values and identities; most application errors come from wrong complementary ratios or mixing elevation with depression.
4For algebra, always check discriminants and consistency conditions (a1/a2 vs b1/b2 vs c1/c2) before solving.
5Build a formula sheet for distance, section, area of triangle, Sₙ of AP, sector/segment, and mean/median/mode of grouped data and revise it weekly.
6If you are choosing between Basic and Standard, use this bank only for Standard — Basic has a separate difficulty profile and distinct practice set.

Frequently Asked Questions

Is the official BSEH Secondary Mathematics (Standard) exam pure multiple-choice?

No. Official BSEH Secondary Mathematics (Standard) is a mixed paper with objective-style items and subjective short/long answers. This bank is an English-language multiple-choice study adaptation for Standard-level concepts and multi-step calculations only — not an official paper simulation.

How is Mathematics (Standard) different from Mathematics (Basic) on BSEH?

Both follow the Class 10 mathematics topic list, but Standard emphasizes more multi-step reasoning and harder applications. They are distinct papers (Standard date-sheet code 009). This bank is written for the Standard track and is not a copy of a Basic bank.

How long is the BSEH Secondary Mathematics (Standard) paper?

The Mathematics (Standard) public exam is commonly 3 hours. Confirm the year’s date sheet and instructions on bseh.org.in.

What is the passing score for BSEH Secondary Mathematics (Standard)?

Secondary-consistent reporting commonly describes about 33% in each subject together with overall aggregate rules as notified by BSEH. Always verify the current result/pass criteria circular for your examination year.

What is the theory–internal mark pattern?

Many Haryana Secondary subjects are described under an ~80 theory + ~20 internal assessment pattern. Exact section marks and internal weightage for Mathematics (Standard) are as published by BSEH for the year — check official syllabus and circulars on bseh.org.in.

How much does the BSEH Secondary Mathematics (Standard) exam cost?

Mathematics is not sold as a separate marketplace product. Fees are notified by BSEH and paid through schools for regular candidates. Check bseh.org.in for the current fee circular.

What syllabus does this bank follow?

It is aligned to BSEH/NCERT Class 10 Mathematics Standard: 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, with Standard-level multi-step items.