Free Practice Questions for Karnataka SSLC Mathematics (KSEAB)
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Key Facts: Karnataka SSLC Mathematics (KSEAB) Exam
3 h 15 m
Typical SSLC exam duration including reading time for many subjects
KSEAB SSLC exam logistics / date sheet
~30–33%
Commonly reported minimum per-subject pass mark range
KSEAB pass criteria reporting (confirm current circular)
81E / 81K
Common paper codes for Mathematics English / Kannada medium
KSEAB SSLC model question papers
80+20 pattern
Commonly described theory + internal split (confirm year notice)
KSEAB SSLC assessment reporting
Mixed paper
Official format is objective + subjective, not pure MCQ
KSEAB SSLC Mathematics model papers
English MCQ adaptation
This free local bank is not the official mixed paper format
OpenExamPrep practice policy
KSEAB SSLC Mathematics is a Class 10 board subject with a mixed objective + subjective paper lasting about 3 h 15 min (codes 81E/81K). Pass is commonly ~30–33% per subject plus aggregate rules as notified. Fees are paid through schools. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.
Sample Karnataka SSLC Mathematics (KSEAB) Practice Questions
Try these sample questions to review concepts for the Karnataka SSLC Mathematics (KSEAB) 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(135, 225) is:
2If a = 2²×3×5³ and b = 2×3³×5, then LCM(a, b) is:
3The decimal expansion of 7/80 terminates after how many places?
4Which of the following is irrational?
5If HCF(96, 404) = 4, then LCM(96, 404) is:
6If √2 = p/q in lowest terms with integers p, q > 0, then 2q² = p² implies:
7If α and β are zeros of x² − 7x + 10, then α² + β² equals:
8A monic quadratic with zeros 3 and −4 is:
9When p(x) = x³ − 4x² + 5x − 2 is divided by (x − 2), the remainder is:
10If the sum of the zeros of 3x² − kx + 9 equals their product, then k is:
About the Karnataka SSLC Mathematics (KSEAB) Exam
Karnataka SSLC Mathematics is the Class 10 public examination mathematics paper under the Karnataka School Examination and Assessment Board (KSEAB, formerly KSEEB). It assesses Class 10 mathematics aligned with the Karnataka syllabus and KSEAB model papers: 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. The official assessment is a mixed objective + subjective paper lasting about 3 hours 15 minutes (codes 81E English / 81K Kannada). Fees and exact blueprints are notified by KSEAB on kseab.karnataka.gov.in; pass marks are commonly described as about 30–33% 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; they are not a full simulation of the official mixed paper.
Exam sponsor: Karnataka School Examination and Assessment Board (KSEAB). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
Official KSEAB SSLC Mathematics is assessed as a mixed paper: objective-style items plus subjective short and long answers, lasting about 3 hours 15 minutes including reading time for many SSLC subjects (English medium code 81E; Kannada medium code 81K). Theory is widely associated with an ~80 mark written component plus ~20 internal assessment — confirm the year’s circular on kseab.karnataka.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or internal assessment.
Time Limit
3 hours 15 minutes
Passing Score
Commonly reported as about 30–33% in each subject together with aggregate rules as published by KSEAB for the year; verify the current pass criteria circular.
Exam / Certification Fees
As notified by KSEAB and paid through schools for regular SSLC sittings (no single fixed public subject fee for all categories).
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 division algorithm, fundamental theorem of arithmetic, HCF/LCM via primes, irrationality arguments, and terminating versus non-terminating decimals.
Polynomials
Zeros and coefficients (including reciprocal and sum–product conditions), forming monic quadratics, and remainder/factor theorems.
Linear Equations in Two Variables
Substitution and elimination, consistency conditions with parameter k, graphical intersections, and multi-step fraction word problems.
Quadratic Equations
Factorization, discriminant and equal-roots parameters, forming equations from irrational conjugate roots, and consecutive-integer product problems.
Arithmetic Progressions
nth term, sum formulas, recovering d from Sₙ, special term relations, and counting AP applications.
Triangles
BPT, AAA similarity, perimeter and area ratios of similar triangles, Pythagoras applications including distance between tops of poles.
Coordinate Geometry
Distance, midpoint, section formula, area, centroid, and collinearity conditions.
Trigonometry
Standard values, cofunction and Pythagorean identities, solving for angles from tan(A±B), and tan-substitution expressions.
Applications of Trigonometry
Elevation and depression, tower-on-building two-angle problems, ladders, broken tree, window problems, and dual-altitude shadows.
Circles
Tangent–radius theorem, equal tangents, length of tangents, concentric chord-tangent, angle between tangents, and tangential quadrilateral side sums.
Constructions
Conceptual m:n division of a segment, similar-triangle scale-factor construction steps, and number of tangents from a point.
Areas Related to Circles
Sector and segment areas, circumference–diameter relations, and quarter-circle grazing models.
Surface Areas and Volumes
Sphere, cone, cylinder, hemisphere formulas and melting/recasting volume balance problems.
Statistics
Mean, median, modal class, missing-value mean, mean under linear transformations, and grouped median formula roles.
Probability
Classical probability with dice, coins, cards, bags, complementary events, and without-replacement compound draws.
Preparing for the Karnataka SSLC Mathematics (KSEAB) Exam
What You Need to Know
- Passing score: Commonly reported as about 30–33% in each subject together with aggregate rules as published by KSEAB for the year; verify the current pass criteria circular.
- Assessment: Official KSEAB SSLC Mathematics is assessed as a mixed paper: objective-style items plus subjective short and long answers, lasting about 3 hours 15 minutes including reading time for many SSLC subjects (English medium code 81E; Kannada medium code 81K). Theory is widely associated with an ~80 mark written component plus ~20 internal assessment — confirm the year’s circular on kseab.karnataka.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, subjective long answers, or internal assessment.
- Time limit: 3 hours 15 minutes
- Exam / certification fees: As notified by KSEAB and paid through schools for regular SSLC 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
Karnataka SSLC Mathematics (KSEAB): Suggested Study Strategy
Frequently Asked Questions
Is the official KSEAB SSLC Mathematics exam pure multiple-choice?
No. Official KSEAB SSLC Mathematics is a mixed paper with objective-style items and subjective short/long answers. This bank is an English-language multiple-choice study adaptation for concepts and multi-step calculations only — not an official paper simulation.
What are the paper codes for SSLC Mathematics?
KSEAB commonly issues Mathematics model/public papers as code 81E (English medium) and 81K (Kannada medium). Confirm the year’s date sheet and question paper codes on kseab.karnataka.gov.in and the model QP portal.
How long is the KSEAB SSLC Mathematics paper?
Many SSLC subjects, including Mathematics, are commonly scheduled for about 3 hours 15 minutes including reading time. Confirm the year’s date sheet and instructions on kseab.karnataka.gov.in.
What is the passing score for KSEAB SSLC Mathematics?
SSLC-consistent reporting commonly describes about 30–33% in each subject together with overall aggregate rules as notified by KSEAB. Always verify the current result/pass criteria circular for your examination year.
What is the theory–internal mark pattern?
Many Karnataka SSLC subjects are described under an ~80 theory + ~20 internal assessment pattern. Exact section marks and internal weightage for Mathematics are as published by KSEAB for the year — check official syllabus and circulars on kseab.karnataka.gov.in.
How much does the KSEAB SSLC Mathematics exam cost?
Mathematics is not sold as a separate marketplace product. Fees are notified by KSEAB and paid through schools for regular candidates. Check kseab.karnataka.gov.in for the current fee circular.
What syllabus does this bank follow?
It is aligned to Karnataka Class 10 Mathematics as reflected in KSEAB model papers (structure similar to NCERT Class 10): 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.
Where can I find official model papers?
KSEAB publishes SSLC model question papers on its portals (including English medium 81E and Kannada medium 81K Mathematics). Start at https://kseab.karnataka.gov.in and the SSLC 2025–26 model QP page on the board site.