PracticeVideosBlogFlashcardsEspañol
All Practice Exams

Free Practice Questions for BSEH Secondary Mathematics — Basic

Exam-style questions and explanations by OpenExamPrep.

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

Loading practice questions...

Same family resources

Explore More Haryana BSEH Secondary (Class 10) Subjects

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Haryana BSEH Secondary Agriculture

Practice Questions

Haryana BSEH Secondary Animal Husbandry

Practice Questions

Haryana BSEH Secondary Computer Science

Practice Questions

Haryana BSEH Secondary Dance

Practice Questions

Haryana BSEH Secondary Drawing

Practice Questions

Haryana BSEH Secondary English

Practice Questions
Exam Review

Key Facts: BSEH Secondary Mathematics — Basic Exam

010

Subject Code (Basic)

BSEH Secondary date sheet / subject codes

3 hours

Theory Duration

BSEH date sheet — Mathematics (Basic)

~80 + 20

Typical Theory + IA Marks

Common BSEH Secondary pattern (confirm year design)

33%

Typical Pass Threshold

BSEH Secondary pass rules (confirm current circular)

009 vs 010

Standard vs Basic Codes

BSEH subject coding

BSEH Secondary Mathematics Basic (code 010) is Haryana’s Class 10 Basic maths paper: typically ~80 theory + ~20 IA, 3 hours, pass about 33%. Distinct from Standard (009). Fee is part of the annual BSEH Secondary fee. This site offers free English MCQ practice with worked solutions—not a full written-paper simulation.

Sample BSEH Secondary Mathematics — Basic Practice Questions

Try these sample questions to review concepts for the BSEH Secondary Mathematics — Basic 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, find the HCF of 96 and 404.
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 = x³y² and b = xy³, where x and y are prime numbers, then LCM(a, b) is:
A.xy
B.x³y³
C.x³y²
D.xy³
Explanation: For LCM take the highest power of each prime: max power of x is 3 and of y is 3, so LCM = x³y³.
3The decimal expansion of 17/8 terminates after how many digits?
A.1
B.2
C.3
D.It does not terminate
Explanation: 17/8 = 2.125, which terminates after 3 decimal places. A rational p/q in lowest terms has a terminating decimal iff the prime factors of q are only 2 and/or 5; here q = 8 = 2³.
4HCF(306, 657) equals:
A.9
B.18
C.27
D.3
Explanation: 657 = 306 × 2 + 45; 306 = 45 × 6 + 36; 45 = 36 × 1 + 9; 36 = 9 × 4 + 0. Last non-zero remainder is 9, so HCF = 9.
5The product of two numbers is 20736 and their HCF is 24. Their LCM is:
A.864
B.8640
C.86400
D.86.4
Explanation: For two positive integers, HCF × LCM = product of the numbers. So LCM = 20736 / 24 = 864.
6Which of the following is an irrational number?
A.√9
B.√16/4
C.√7
D.0.25
Explanation: √7 cannot be written as a ratio of integers; it is irrational. √9 = 3, √16/4 = 1, and 0.25 = 1/4 are all rational.
7If n is a natural number, then (√2)^n is irrational when n is:
A.any natural number
B.even
C.odd
D.a multiple of 4
Explanation: When n is even, (√2)^n is an integer power of 2 and is rational. When n is odd, (√2)^n = 2^((n-1)/2) × √2, which is irrational.
8If one zero of the quadratic polynomial x² − 5x + k is 2, then k equals:
A.4
B.6
C.8
D.10
Explanation: If 2 is a zero, p(2) = 0: 4 − 10 + k = 0 ⇒ k = 6.
9The sum of the zeros of the polynomial 2x² − 8x + 6 is:
A.4
B.−4
C.3
D.−3
Explanation: For ax² + bx + c, sum of zeros = −b/a = −(−8)/2 = 4.
10The product of the zeros of x² + 7x + 10 is:
A.7
B.−7
C.10
D.−10
Explanation: Product of zeros = c/a = 10/1 = 10. (Zeros are −2 and −5; product is 10.)

About the BSEH Secondary Mathematics — Basic Exam

The Haryana BSEH Secondary Mathematics — Basic examination is the Class 10 board paper (subject code 010) conducted by the Board of School Education, Haryana. It assesses the NCERT Class 10 Mathematics Basic track—real numbers, polynomials, pair of linear equations, quadratic equations, arithmetic progressions, triangles, coordinate geometry, introduction to trigonometry, applications of trigonometry, circles, areas related to circles, surface areas and volumes, statistics, and probability—with emphasis on conceptual understanding and straightforward calculation (fewer multi-step olympiad-style items than Mathematics Standard, code 009). The official paper is a written mixed-format exam commonly described as about 80 theory + 20 internal assessment for 100 marks, lasting 3 hours on the BSEH date sheet. 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.

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: written mixed paper for Mathematics Basic (code 010), typically ~80 theory + ~20 IA, 3 hours, distinct from Standard (009). Local bank: English MCQ study adaptation with worked solutions covering topics from NCERT Class 10 Basic track.

Time Limit

3 hours

Passing Score

Typically 33% under BSEH Secondary pass rules; confirm theory/IA split and the latest Board circular.

Exam / Certification Fees

Included in the annual BSEH Secondary examination fee notified by the Board.

Exam sponsor website

Reported exam pass rate: Overall Secondary pass percentages are published with each BSEH result; no fixed standing subject-wise Mathematics Basic pass-rate figure is used here.. 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.

7%

Real Numbers

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

7%

Polynomials

Zeros of linear and quadratic polynomials, relationship between zeros and coefficients (sum and product of roots), and simple remainder/evaluation ideas at Basic level.

8%

Pair of Linear Equations in Two Variables

Graphical representation, solution by substitution and elimination, and conditions for unique, infinite, or no solution (consistency).

8%

Quadratic Equations

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

8%

Arithmetic Progressions

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

8%

Triangles

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

7%

Coordinate Geometry

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

7%

Introduction to Trigonometry

Trigonometric ratios of acute angles, standard values (0°, 30°, 45°, 60°, 90°), complementary-angle relations, and fundamental identities such as sin²θ + cos²θ = 1.

7%

Applications of Trigonometry

Heights and distances: angle of elevation and depression with straightforward right-triangle calculations.

5%

Circles

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

7%

Areas Related to Circles

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

8%

Surface Areas and Volumes

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

7%

Statistics

Mean of ungrouped and grouped data, median and mode of simple frequency distributions, and cumulative frequency ideas.

6%

Probability

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

Preparing for the BSEH Secondary Mathematics — Basic Exam

What You Need to Know

  • Passing score: Typically 33% under BSEH Secondary pass rules; confirm theory/IA split and the latest Board circular.
  • Assessment: Official: written mixed paper for Mathematics Basic (code 010), typically ~80 theory + ~20 IA, 3 hours, distinct from Standard (009). Local bank: English MCQ study adaptation with worked solutions covering topics from NCERT Class 10 Basic track.
  • Time limit: 3 hours
  • Exam / certification fees: Included in the annual BSEH Secondary examination fee notified by the Board. 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

BSEH Secondary Mathematics — Basic: Suggested Study Strategy

1Treat Basic as calculation practice, not guessing: write formulas first, then substitute carefully under timed conditions.
2Memorize standard trigonometric values (0°, 30°, 45°, 60°, 90°) and the identity sin²θ + cos²θ = 1; most heights-and-distances errors come from swapped ratios.
3For linear and quadratic equations, always check consistency or the discriminant before solving; show each algebraic step clearly for written-paper partial credit.
4In mensuration, keep π = 22/7 or 3.14 consistent with the question and track units (cm vs cm² vs cm³).
5Alternate free MCQ drills with full written answers from NCERT Basic exercises so you can present steps on the official mixed paper.

Frequently Asked Questions

Is the official BSEH Secondary Mathematics Basic exam multiple-choice?

No. The official BSEH Secondary Mathematics — Basic paper (code 010) is a mixed written examination with short and long constructed-response items (and typically an internal assessment component). The 100 questions on this page are an English-language MCQ study adaptation with worked calculations to build speed and accuracy—they are not a full simulation of the official paper format.

How long is the BSEH Mathematics Basic paper and what is the maximum mark?

On the BSEH date sheet, Mathematics (Basic), code 010, is scheduled for 3 hours. Full marks are commonly described as about 80 theory + 20 internal assessment (100 total). Always confirm the year’s question-paper design and timetable on bseh.org.in.

What is the difference between Mathematics Basic and Mathematics Standard?

Both follow Class 10 mathematics units, but Basic (code 010) is the easier optional path with more conceptual and straightforward calculation items. Standard (code 009) is more demanding and is often preferred by students aiming at maths-heavy senior secondary streams. Choose according to school guidance and career plans.

What is the passing score for BSEH Secondary Mathematics Basic?

BSEH Secondary pass criteria are typically about 33% overall (with subject rules as notified). Verify theory versus internal assessment requirements in the official circular for your examination year.

How much does the BSEH Mathematics Basic exam cost?

Mathematics Basic is not separately priced. The fee is included in the annual BSEH Secondary examination fee notified by the Board. Check bseh.org.in for the current fee circular.

What syllabus does BSEH Secondary Mathematics Basic follow?

BSEH lists Mathematics (Basic & Standard) under Secondary syllabus / QP design resources (for example syllabusqpd10th2026 on bseh.org.in). Content aligns with the NCERT Class 10 Mathematics Basic track: real numbers, polynomials, linear equations, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry and applications, circles, areas related to circles, surface areas and volumes, statistics, and probability.