UP Board Class 10 Compartment Exam 2026 for Mathematics is on June 28, 2026, and Algebra is the highest-weightage unit at approximately 18 out of 70 theory marks — making it the single most important area to master before exam day.
UPMSP conducts the compartment exam for Class 10 students who could not clear a subject in the main board exam. For Mathematics, knowing the chapter-wise marks distribution lets you allocate the limited preparation time available before June 28 to the sections that yield the most marks. This article covers the unit-wise weightage, chapter-wise important topics, and a structured preparation plan for the UP Board Class 10 Maths Compartment Exam 2026.
- Compartment exam date: June 28, 2026
- Theory paper: 70 marks | Internal assessment: 30 marks | Total: 100 marks
- Theory paper duration: 3 hours 15 minutes
- Highest-weightage unit: Algebra (approx. 18 marks)
- Top priority chapters: Quadratic Equations, Triangles, Introduction to Trigonometry, Statistics
- Official website: upmsp.edu.in
UP Board Class 10 Maths Compartment Exam 2026 Paper Pattern
The Mathematics theory paper for UP Board Class 10 Compartment Exam 2026 carries 70 marks and students have 3 hours 15 minutes to complete it. Internal assessment marks of 30 are carried forward from the regular academic year and are not re-evaluated in the compartment exam. You need a minimum aggregate of 33 marks to pass the subject.
| Parameter | Details |
|---|---|
| Exam Name | UP Board Class 10 Compartment Exam 2026 — Mathematics |
| Conducting Body | UP Madhyamik Shiksha Parishad (UPMSP) |
| Exam Date | June 28, 2026 |
| Total Marks | 100 (Theory: 70 + Internal Assessment: 30) |
| Theory Paper Duration | 3 Hours 15 Minutes |
| Passing Marks | 33 out of 100 (aggregate, as per UPMSP norms) |
| Question Types | Objective (MCQ), Short Answer, Long Answer |
| Official Website | upmsp.edu.in |
Unit-Wise Marks Distribution for UP Board Class 10 Mathematics
The UP Board Class 10 Mathematics syllabus spans seven units. Algebra leads with approximately 18 marks, followed by Geometry at 13 marks and Trigonometry at 11 marks — these three units together account for about 60% of the theory paper. The distribution below is based on the official UP Board syllabus structure and previous year question paper analysis; exact marks may vary by question paper set.
| Unit No. | Unit Name | Chapters Included | Approx. Marks (Theory) |
|---|---|---|---|
| 1 | Number Systems | Real Numbers | 5 |
| 2 | Algebra | Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions | 18 |
| 3 | Coordinate Geometry | Coordinate Geometry | 5 |
| 4 | Geometry | Triangles, Circles, Constructions | 13 |
| 5 | Trigonometry | Introduction to Trigonometry, Heights and Distances | 11 |
| 6 | Mensuration | Areas Related to Circles, Surface Areas and Volumes | 9 |
| 7 | Statistics and Probability | Statistics, Probability | 9 |
| Total (Theory) | 70 | ||
Chapter-Wise Important Topics for Compartment Exam 2026
Each chapter has a set of topics that appear more frequently in UP Board question papers. Targeting these high-yield topics within each chapter lets you score marks from every unit without spending time on lower-priority content. The marks below reflect each chapter’s share within its unit’s total allocation.
| Chapter | Key Topics to Practise | Approx. Marks |
|---|---|---|
| Real Numbers | Euclid’s Division Lemma, HCF and LCM using prime factorisation, proof of irrationality | 5 |
| Polynomials | Relationship between zeroes and coefficients, finding zeroes, division algorithm | 4 |
| Pair of Linear Equations in Two Variables | Graphical method, substitution, elimination, cross-multiplication, word problems | 5 |
| Quadratic Equations | Factorisation, completing the square, quadratic formula, nature of roots, word problems | 5 |
| Arithmetic Progressions | nth term formula, sum of n terms, AP-based word problems | 4 |
| Triangles | BPT theorem (proof and application), similarity criteria (AA, SSS, SAS), Pythagoras theorem proof | 6 |
| Circles | Tangent to a circle, length of tangent from an external point, theorem-based problems | 4 |
| Constructions | Division of a line segment in a given ratio, construction of tangents to a circle | 3 |
| Coordinate Geometry | Distance formula, section formula, area of a triangle using coordinates | 5 |
| Introduction to Trigonometry | Trigonometric ratios, ratios of complementary angles, proving identities | 6 |
| Some Applications of Trigonometry (Heights and Distances) | Angle of elevation, angle of depression, word problems using 30°, 45°, 60° | 5 |
| Areas Related to Circles | Area of sector, area of segment, perimeter of sector | 4 |
| Surface Areas and Volumes | Combination of solids, frustum of a cone, conversion of one solid into another | 5 |
| Statistics | Mean (direct method, assumed mean method), Median, Mode for grouped data, cumulative frequency ogive | 5 |
| Probability | Classical probability, simple event problems, complementary events | 4 |
Most Important Chapters for UP Board Class 10 Maths Compartment Exam 2026
With the exam on June 28, 2026, targeted revision matters more than covering the entire syllabus. The chapters below offer the best return on study time and are consistently the most examined in UP Board Class 10 Mathematics papers.
Quadratic Equations (5 marks) is the most reliably tested chapter in Algebra. All three solution methods — factorisation, completing the square, and the quadratic formula — cover nearly every question type that appears. Word problems based on this chapter are standard and follow predictable patterns once you practise five to six examples.
Triangles (6 marks) is historically among the highest-scoring chapters in UP Board Class 10 Mathematics. The Basic Proportionality Theorem and the Pythagoras theorem proof appear in almost every paper. Memorising and practising these proofs with their application problems can reliably secure full marks on a single long-answer question.
Introduction to Trigonometry (6 marks) rewards students who spend time memorising the eight standard identities. Identity-proving questions follow a fixed structure — both sides are simplified step by step — making this chapter predictable once you learn the method.
Statistics (5 marks) is the most formulaic chapter in the paper. Mean (assumed mean method), Median, and Mode for grouped data each follow a step-by-step procedure that earns marks at every step. Learning the method once is usually enough to attempt the full question confidently.
Arithmetic Progressions (4 marks) and Pair of Linear Equations (5 marks) round out the Algebra unit. Both rely on formula application and word problem setup, which become straightforward with 4–5 practise problems each.
Quick Preparation Tips for UP Board Class 10 Maths Compartment Exam 2026
Students who start today have approximately 17 days before June 28. A chapter-priority strategy — high-weightage units first, short chapters last — is far more effective than trying to revise the full syllabus evenly.
- Days 1–6 (Algebra): Focus on Quadratic Equations, Pair of Linear Equations, and Arithmetic Progressions. These three chapters alone account for 14 marks and have highly predictable question formats.
- Days 7–12 (Geometry and Trigonometry): Practise Triangles (proofs first, then applications), Introduction to Trigonometry (identity verification), Heights and Distances, and Circles. Combined weightage: approximately 24 marks.
- Days 13–15 (Mensuration and Statistics): Cover Surface Areas and Volumes, Areas Related to Circles, Statistics (all three measures), and Probability. These carry approximately 18 marks.
- Days 16–17 (Revision): Solve one full previous year UP Board Class 10 Mathematics question paper under timed conditions. Identify weak spots and revisit only those topics.
- Write all key formulas, identities, and theorem statements on a single revision sheet and review it each morning.
- For proof-based questions, write each step on a separate line — UP Board awards stepwise marks, so a partially correct proof still earns marks.
- Do not skip Real Numbers, Coordinate Geometry, or Probability — these short chapters together carry 14 marks and require minimal preparation time.
UP Board Class 10 Maths Compartment Exam 2026 FAQs
Ques. When is the UP Board Class 10 Compartment Exam 2026 for Mathematics?
Ans. The UP Board Class 10 Compartment Exam 2026 for Mathematics is scheduled on June 28, 2026. Students should visit upmsp.edu.in to download their admit card and check their exam centre details.
Ques. Which unit carries the highest marks in UP Board Class 10 Mathematics?
Ans. Algebra carries the highest weightage in UP Board Class 10 Mathematics at approximately 18 marks out of 70 in the theory paper. It includes four chapters: Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, and Arithmetic Progressions.
Ques. What are the most important chapters for UP Board Class 10 Maths Compartment Exam 2026?
Ans. The most important chapters for the UP Board Class 10 Maths Compartment Exam 2026 are Quadratic Equations, Triangles, Introduction to Trigonometry, Statistics, and Arithmetic Progressions. These chapters collectively carry approximately 30 marks and follow predictable question patterns that make targeted preparation highly effective.
Ques. What is the passing marks for UP Board Class 10 Maths Compartment Exam 2026?
Ans. You need a minimum aggregate of 33 marks out of 100 to pass the UP Board Class 10 Maths Compartment Exam 2026. The 30 internal assessment marks from the regular exam are added to your theory score. Students should aim to score well in the 70-mark theory paper to clear this threshold comfortably.
Ques. Is the UP Board compartment exam paper the same as the main board exam?
Ans. Yes, the UP Board Class 10 Compartment Exam follows the same syllabus, paper pattern, and chapter-wise weightage as the main board examination. The question types — objective, short answer, and long answer — and unit-wise marks distribution remain the same.
Ques. How many days are enough to prepare for the UP Board Class 10 Maths Compartment Exam 2026?
Ans. With 17 days available before June 28, 2026, a structured plan is enough: spend the first six days on Algebra, the next six days on Geometry and Trigonometry, then two to three days on Mensuration and Statistics, and reserve the final two days for full-length revision and solving previous year papers.
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