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Bihar Board Class 10th Math Online Test 2027: Chapter-Wise Mock Test & VVI Objective

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Ali Hassan
Ali Hassan

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Published: 11 Sep, 2026

Bihar Board Class 10th Math Online Test 2027: Chapter-Wise Mock Test & VVI Objective

Last Updated: September 11, 2026

Bihar Board Class 10th Math Online Test 2027: Free Chapter-Wise Mock Test

Executive Exam Summary

Examination Feature Official BSEB Matric Specification
Exam Name Bihar School Examination Board (BSEB) Class 10 Matric Annual Examination
Subject Mathematics (गणित) — Subject Code: 110
Target Year 2027 Matric Examination Cycle
Total Marks 100 Marks (Theory Only, No Practical)
Exam Duration 3 Hours 15 Minutes (195 Minutes total, includes 15 minutes cool-off reading time)
Question Paper Structure Section A (Objective MCQs) + Section B (Subjective Short & Long Questions)
Section A: Objective Questions 100 Questions given, candidates must answer any 50 questions on OMR sheet
Section A Marks 50 Marks (1 Mark per Question)
Negative Marking Zero (0) Penalty — No negative marking for wrong answers
Section B: Subjective Questions 30 Short Answer (answer any 15 for 30 marks) + 8 Long Answer (answer any 4 for 20 marks)
Passing Marks Minimum 30 Marks out of 100
Medium of Exam Bilingual (Hindi and English)

Mathematics is usually the subject that decides the outcome for candidates taking the Matric examination administered by the Bihar School Examination Board (BSEB). The more marks you obtain in math, the greater your chances of getting a First Division (that is, 300 or more out of 500 marks), while if your math mark goes down, your total percentage will also decrease.

By taking the Bihar Board Class 10 Math exam paper, you gain a big benefit in the form of choice. In Section A you are given 100 objective multiple-choice questions, but you only need to answer 50 of them on your OMR sheet, so you can leave half of the questions unanswered if they are difficult.

There is, however, a different problem caused by having 100 options: the speed at which decisions can be made. Many students spend forty minutes just going through the questions, become unsure about which ones to do, and as a result are forced to rush when filling in their OMR bubbles. When you rush like this, you are likely to make careless mistakes in your calculations or end up putting their answer in bubble number 24 in row 25.

By regularly doing the online math test for class 10th in our Bihar board class 10th math online test class, you will be able to master this particular challenge. You will learn how to look over the paper, select the 50 easiest questions from the chapters in which you are strongest, solve them quickly by using direct formulas, and obtain full marks in the objective section before opening your subjective answer book.

Why I Built This Mock Test Series

My name is Shubham Kumar Sah and I am the founder of SarkariMockTest.com. I can still recall how confusing Matric math seemed during the final few months before the board exam—each chapter appeared to be important and there was never sufficient time to go over all of them properly. This series was specifically designed to overcome that kind of confusion.

When students in Class 10 who are preparing for the Bihar Board mathematics exam read through each chapter of their textbook in turn without timing themselves on the objective questions, they end up knowing the material well but still find themselves short of time on the day of the exam. The Bihar Board Class 10 Mathematics paper consists of 100 objective questions, 50 of which have to be answered on the OMR sheet within a set time period while the subjective questions are also being attempted. Because these students have never practiced objective questions under a time limit, they are unable to manage the time and have to fill in the OMR bubbles in a hurry, thereby making simple mistakes.

The series centres on this gap, with the mock tests being arranged chapter by chapter — on Real Numbers, Polynomials, Linear Equations, Quadratic Equations, Arithmetic Progression, Coordinate Geometry, Trigonometry, Statistics, and Probability — since Trigonometry has one of the highest weightages in the paper and therefore needs separate and in-depth practice rather than just a brief review. As there is no negative marking in the Bihar Board examinations, each of the tests in this series is also designed to teach smart question attempts by instructing candidates to answer all questions, use elimination, and never leave any question unanswered.

A major portion of the series remains free for the same reason as always—you shouldn't have to pay money in order to know which chapter is lowering your score before your Matric exam starts.

When I am developing and updating the tests for students taking the Bihar Board exams, I ask myself one question: will this actually help a Class 10 student to perform better before the Bihar Board 2027 Mathematics results are announced? If the answer is no, then the material won't be included.

Start Bihar Board Class 10th Math Mock Test 2027 Online

Try a realistic 50-question objective practice test based on the official BSEB pattern, with immediate scoring, explanations of the formulas, and real-time rank comparison.

  • Free Tier: 2 Full-Length 100-Question Objective Tests + All Chapter Tests Free
  • Test Format: Section A Simulation (Answer 50 out of 100 Questions)
  • Languages Supported: Hindi Medium (हिंदी माध्यम) & English Medium
  • Features Included: Chapter Accuracy Heatmap, Topper Strategy Comparison, Formula Hints

Start Bihar Board Class 10th Math Mock Test 2027 Online
Bihar Board Math Exam Setup

Official Updates and BSEB Matric 2027 Exam Status

The Class 10 Matric examination is held every February by the Bihar School Examination Board, with Anand Kishore serving as its Chairman from the board's head office in Patna. The estimated schedule for the 2027 group is given below:

Examination Milestone Expected Official Timeline Current Verification Status Official Source
Student registration for the Matric 2027 exam July to August 2026 through the schools secondary.biharboardonline.com
Exam Form Submission Window September – October 2026 School Headmaster Filing BSEB Online Portal
Corrections for the Dummy Admit Card November 2026 Two rounds of corrections secondary.biharboardonline.com
Official Model Papers Release December 2026 Expected PDF Release BSEB Official Website
Final Practical Admit Card January 2027 Issued for Internal Marks School Distribution
Final Theory Admit Card Late January 2027 Distributed with School Seal Official School Login
Class 10 Math Exam Date 2027 Mid-February 2027 (Day 1 or Day 2) Annual Exam Routine Official BSEB Press Release
The matric annual results for 2027 late March or the first week of April 2027 were published results.biharboardonline.com

The following disclaimer should be noted: the mock exams available on this platform are self-prepared study materials by experienced teachers and we have no official association with the Bihar School Examination Board (BSEB).

What is the reason for taking the Bihar Board Class 10th Math Mock Test 2027?

Many students go to school, attend coaching centres, or watch revision videos on YouTube. Yet passive watching is not equivalent to active problem-solving. The reason why taking timed tests on the BSEB matric math objective test in Hindi makes a measurable difference is as follows:

  • How to use the 100-to-50 Question Selection Strategy: If you are given 100 questions, it is not necessary to work through all of them. What you should do instead is identify the 50 simplest questions which can be answered in thirty seconds or fewer by means of direct formulas. Practice tests help train your ability to skip the more difficult, multi-step questions and to spot the simple ones right away.
  • As for the OMR sheet timing, you will have three hours and fifteen minutes to complete the whole examination. If you use two hours on Section A, you won't have sufficient time left to answer the 15 short-answer and 4 long-answer questions in Section B. Doing practice sessions with timed objective tests will enable you to complete all 50 objective questions in between 50 and 60 minutes.
  • Eliminate Sign and Calculation Mistakes: Most marks in Class 10 math are lost to basic minus sign errors, wrong square roots, or incorrect values of trigonometric ratios like sin30° versus cos30° Regular testing will pick up these recurring mistakes before your final board exam.
  • There is no negative marking: since the BSEB does not deduct marks for wrong answers, you should never leave a bubble blank when attempting a question. Practising with sample tests will show you how to use option elimination to identify the most likely answer in cases of uncertainty.

Exam Pattern and Marking Scheme for Bihar Board Matric Mathematics

The BSEB Class 10 Mathematics exam has a total of 100 marks and includes no school practical component; all 100 marks are obtained from this one written theory paper.

Section of the Paper Question Type Total Questions Given Questions to Attempt Marks per Question Total Marks for the Section
Section A (खण्ड-अ) Objective Multiple Choice Questions (MCQs) 100 questions Exactly 50 questions 1 mark each 50 marks
Section B (खण्ड-ब) Short Answer Questions (लघु उत्तरीय प्रश्न) 30 questions Exactly 15 questions 2 marks each 30 marks
Section B (खण्ड-ब) Long Answer Questions (दीर्घ उत्तरीय प्रश्न) 8 questions Exactly 4 questions 5 marks each 20 marks
Total Exam Full Question Paper 138 questions 69 questions 100 marks

Important OMR Rule: In Section A, the computerized OMR scanner only assesses the first 50 questions that you mark. If you attempt 60 questions, the questions from number 51 to 60 are completely disregarded, even if they are answered correctly. You must therefore carefully plan your choices and stop after you have filled in 50 bubbles.

Chapter-wise Weightage and Syllabus Breakdown

The Class 10 Mathematics syllabus is based on the NCERT and SCERT Bihar curriculum. The board divides the 15 chapters into 7 main mathematical units. The table below shows the distribution of questions and marks in recent BSEB examination papers:

Unit Name NCERT Chapters Included Estimated Number of Objective Questions (out of 100) Subjective Marks Share Total Weightage Share Priority Level
Trigonometry (त्रिकोणमिति) Chapter 8 and Chapter 9 18 – 22 questions 15 – 20 marks ~35 marks 🔥 Highest Priority
Algebra (बीजगणित) Chapters 2, 3, 4 and 5 20 – 24 questions 15 – 20 marks ~30 marks High Priority
Coordinate Geometry (निर्देशांक ज्यामिति) Chapter 7 10 – 12 questions 6 – 8 marks ~15 marks High Scoring
Geometry Chapters 6, 10, 11 12 – 15 questions 12 – 15 marks ~20 marks Conceptual

Subject-Wise Chapter Clusters & Micro-Syllabus (NCERT/BSEB)

Students usually do not look up the whole syllabus at one time; instead, they search for each chapter as they are studying at school or in coaching. The group of chapters listed below include the important concepts, formulas, and the most commonly searched types of objective tests.

+---------------------------------------------------------------------------------------------------+ | BSEB Matric Math Chapter Clusters | +---------------------------------------------------------------------------------------------------+ | Ch 1: Real Numbers (वास्तविक संख्याएँ) ---> 8-10 Objective Questions | | Ch 2 & 3: Polynomials & Linear Equations ---> 10-12 Objective Questions | Ch 4 & 5: Quadratic Equations and A.P. , 10-12 Objective Questions , | Ch 7: Coordinate Geometry (निर्देशांक ज्यामिति) ---> 10-12 Objective Questions | | Ch 8 & 9: Trigonometry (त्रिकोणमिति) ---> 18-22 Objective Questions (Highest Search) | | Ch 14 & 15: Statistics & Probability ---> 10-12 Objective Questions | +---------------------------------------------------------------------------------------------------+

Chapter 1: Real Numbers (वास्तविक संख्याएँ)

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Weightage in Objectives: 8 to 10 Questions

The main topics are the identification of rational and irrational numbers, Euclid's Division Lemma (a = bq + r), the Fundamental Theorem of Arithmetic, decimal expansions (distinction between terminating and non-terminating repeating ones), and the calculation of the HCF and LCM.

Essential Formulas:

HCF(a,b)×LCM(a,b)=a×b
A rational number p/q has a terminating decimal expansion if the prime factorization of q is of the form 2^n 5^m, where n and m are non-negative integers.

Typical Objective Question: Identifying whether π, √3, or 2+√5 Whether it is rational or irrational, or working out the HCF of two numbers when their LCM is given.

Action: [Start Chapter 1 Real Numbers Online Test]

Chapters 2 & 3: Polynomials & Pair of Linear Equations (बहुपद एवं दो चर वाले रैखिक समीकरण युग्म)

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Weightage in Objectives: 10 to 12 Questions

The main topics include the degree of polynomials, the zeros of linear, quadratic, and cubic polynomials, the relationship between the zeros and the coefficients, the consistency and inconsistency of linear equations, and graphical representation.

Essential Formulas:

For quadratic polynomial ax^2 + bx + c:
α+β=−b/a, αβ=c/a
For linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0:
Unique Solution (Intersecting lines): a1/a2 ≠ b1/b2
Infinite Solutions (Coincident lines): a1/a2 = b1/b2 = c1/c2
No Solution (Parallel lines): a1/a2 = b1/b2 ≠ c1/c2

A typical example of an objective question is one which asks for the sum or product of the roots of a given polynomial, or which requires the nature of the lines in a system of linear equations.

Action: [Start Polynomials & Linear Equations Objective Test]

Chapters 4 & 5: Quadratic Equations & Arithmetic Progression (द्विघात समीकरण एवं समांतर श्रेढ़ी)

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Weightage in Objectives: 10 to 12 Questions

Key Topics: Standard form of quadratic equation (ax^2 + bx + c = 0), Finding the discriminant (D), determining the nature of the roots, calculating the common difference (d) of an arithmetic progression, finding the n-th term, and computing the sum of the first n terms.

Essential Formulas:

Discriminant: D = b^2 − 4ac
If D > 0: Two distinct real roots
If D = 0: Two equal real roots (x = −b/2a)
If D < 0: No real roots
Quadratic Formula: x = (−b ± √(b^2 − 4ac)) / 2a
Arithmetic Progression: an = a + (n−1)d, Sn = n/2 [2a + (n−1)d] = n/2 (a + l)

Typical Objective Question: Direct calculation of the common difference d = a2 − a1 Finding either the 10th or 20th term of an arithmetic progression, or determining the value of k for which a quadratic equation has equal roots.

Start the mock test on quadratic equations and A.P.

Chapter 7: Coordinate Geometry (निर्देशांक ज्यामिति)

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Weightage in Objectives: 10 to 12 Questions

Main topics: the distance from the origin, the distance between two points, the section formula (for internal division), the midpoint formula, the centroid of a triangle, and determining the quadrants (चतुर्थांश).

Essential Formulas:

Distance from origin (0,0) to (x,y): Distance = √(x^2 + y^2)
Distance between (x1, y1) and (x2, y2): d = √((x2 − x1)^2 + (y2 − y1)^2)
Midpoint Formula: (x,y) = ((x1 + x2)/2, (y1 + y2)/2)
Centroid of a Triangle: G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)

A typical objective question involves identifying the quadrant of the point (−3,4) (which is the Second Quadrant), calculating the distance of the point (3,4) from the origin (5 units), or determining the coordinates of the midpoint.

Action: [Start Coordinate Geometry Practice Test]

Chapters 8 & 9: Trigonometry & Heights and Distances (त्रिकोणमिति का परिचय एवं अनुप्रयोग)

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Weightage in Objectives: 18 to 22 Questions (Highest Scoring Section)

Key Topics: Trigonometric ratios (sin,cos,tan,cot,sec,cosec), standard angle values (0°, 30°, 45°, 60°, 90°), the relationships involving complementary angles, the fundamental trigonometric identities, and the angles of elevation and depression.

Essential Formulas:

sin^2 θ + cos^2 θ = 1 ⟹ sin^2 θ = 1 − cos^2 θ
1 + tan^2 θ = sec^2 θ ⟹ sec^2 θ − tan^2 θ = 1
1 + cot^2 θ = cosec^2 θ ⟹ cosec^2 θ − cot^2 θ = 1
Complementary angles:
sin(90° − θ) = cosθ, tan(90° − θ) = cotθ, sec(90° − θ) = cosecθ
Standard values:
sin30° = 1/2, cos60° = 1/2, tan45° = 1, sin90° = 1, cos0° = 1

Typical Objective Question: Evaluating direct expressions such as tan65° / cot25° = 1, simplifying 9sec^2 A − 9tan^2 A = 9, or evaluating sin^2 22° + cos^2 22° = 1.

Action: [Start Trigonometry VVI Objective Test]

Chapters 14 & 15: Statistics & Probability (सांख्यिकी एवं प्रायिकता)

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Weightage in Objectives: 10 to 12 Questions

The main topics include the mean (माध्य), the median (माध्यक), the mode (बहुलक), the empirical relationship between the measures of central tendency, the probability of certain and impossible events, the range of probability (0≤P(E)≤1), and problems involving coins, dice, and playing cards.

Essential Formulas:

Empirical relationship:
Mode = 3Median − 2Mean (बहुलक = 3माध्यक − 2माध्य)
Class Mark (वर्ग चिह्न):
Class Mark = (Upper Limit + Lower Limit) / 2
Probability of an event E:
P(E) = Number of favorable outcomes / Total number of possible outcomes
P(E) + P(not E) = 1 ⟹ P(Ē) = 1 − P(E)

Typical Objective Question: Finding the mode of a given data set (the number that appears most frequently), determining the probability of getting a prime number on a single die throw (3/6 = 1/2), or checking that the probability can never be negative or greater than 1.

Action: [Start Statistics & Probability Online Test]

Actual Previous Year Question (PYQ) Trend Analysis

An examination of the mathematics papers from the last five years set by the BSEB reveals that the examination board adheres to certain predictable patterns, with the questions being intended to test your knowledge of direct formulas rather than requiring long derivations.

Trigonometry (Ch 8 & 9) 20% (20 Questions)
Algebra (Ch 2, 3, 4, 5) 18% (18 Questions)
Geometry (Ch 6, 10, 11) 14% (14 Questions)
Coordinate Geometry (Ch 7) 12% (12 Questions)
Statistics & Probability 12% (12 Questions)
Mensuration (Ch 12 & 13) 11% (11 Questions)
Real Numbers (Ch 1) 9% (9 Questions)
Other / Mixed Topics 4% (4 Questions)
Question Difficulty Bracket Share in 100 Objectives What It Tests Recommended Candidate Approach
Direct Formula Based 50 Questions Direct formulas like sin^2 θ + cos^2 θ, distance from origin, value of tan45° The discriminant formula should be used. Work out these problems first; it is possible to solve these 50 questions in 25 minutes without having to do a great deal of rough work.
Simple 1-Step Calculations 30 Questions Finding the roots of x^2 − 9 equals 0, it is the midpoint of two points, the common difference of an arithmetic progression, and the average of the first five natural numbers. If you want more questions to reach your aim of 50, then solve these.
Time-consuming and multi-step 20 Questions Involve lengthy word problems on speed and distance, the application of complex theorems, and multi-step calculations of surface area. Leave these completely aside since you only need 50 out of the 100 answers and should therefore not spend time on the long questions in Section A.

Objective vs Subjective Marks Split Trends (Last 5-10 Years)

Over the last ten years the structure of the Bihar Board Class 10 examination has changed. The table which follows shows how the weight given to the objective questions has increased in order to provide students with more options:

Testing Era / Exam Cycles Total Objective Questions Questions to Attempt in Objectives Objective Marks Share Choices in Subjective Section Impact on Passing Percentage
Pre-2018 Pattern 20 to 25 Questions All Compulsory 20 – 25% Very limited internal choices Passing rate stayed around 50% to 65%
2018 – 2019 (50% OMR Introduced) 50 Questions All 50 Compulsory 50% Fixed internal choices in 2 & 5 marks Passing rate improved to 68%
2020 (60 Question Option) 60 Questions Attempt any 50 50% 10 extra objective choices Passing percentage rose above 75%
2021 – 2026 (100 Question Choice) 100 Questions Attempt any 50 50% Double options: Answer 15 of 30 short, 4 of 8 long First Division rates reached record highs
2027 Projected Pattern 100 Questions Attempt any 50 50% Continues 100% internal option model Rewarding students who master objective speed

How many objective questions are there in Bihar board class 10th math?

The Bihar Board Mathematics paper for Class 10 consists of a total of 100 objective questions. The students have to select any 50 questions from among them and fill in their answers on the OMR sheet. They receive one mark for each correct answer.

What is the way to get 50 out of 50 in the objective section of Bihar Board 10th Math?

In order to get 50 out of 50, you should first scan the paper and then attempt only the direct formula questions in the sections on Trigonometry, Coordinate Geometry, and Real Numbers. Don't include any multi-step calculations, carefully check your OMR bubbles, and make sure to answer all 50 questions since there is no negative marking.

Is there going to be negative marking in the BSEB Class 10 Matric exam?

The Bihar Board Class 10 Matric examination does not have negative marking. Even if an answer is wrong, no marks are taken away from your total score. It is therefore advisable for students to attempt all the questions that are required of them and not leave any answers blank.

What is the place where I can take free chapter-wise math tests for class 10 under the Bihar board?

Free chapter-wise math tests for Bihar Board Class 10 are available on MockTestCenter.com and sarkarimocktest.com. The tests include questions in both Hindi and English, provide instant scoring, offer explanations based on formulas, and keep track of your performance in accordance with the most recent BSEB NCERT syllabus.

What is the minimum mark required in the Bihar Board 10th standard Mathematics exam?

To pass the Bihar Board Class 10 Mathematics exam, a candidate must obtain at least 30 marks out of a total of 100, which must be achieved in total across both the objective (Section A) and the subjective (Section B) sections.

Built-in Test Platform Features

Our testing platform is designed specifically for Bihar Board Matric students:

  • Here is a section-by-section breakdown of the performance analytics: you can see your precise accuracy rate in Trigonometry, Algebra, and Geometry, and determine whether you are losing marks due to forgetfulness of formulas or because of calculation errors.
  • With Time-Per-Question Tracking, you'll be able to see the average number of seconds that you take for each question, and if a question takes over 75 seconds our system will flag it so you can practice answering it more quickly.
  • See your All India Rank and Real-Time Percentile: You can compare your score with those of thousands of other Matric students in Bihar, including those from Patna and Gaya as well as from Muzaffarpur, Bhagalpur, and Purnea.
  • When your accuracy increases, the system will give you more difficult questions at an application level in order to help build your confidence for longer subjective problems.
  • Explanations of the step-by-step formula: Each question provides a complete solution in simple language which explains the appropriate formula (this could be the Pythagoras Theorem, the Quadratic Formula, or the summation of an A.P.).
  • Sheet for comparing candidates: An examination of the way students who obtained 95 or more marks in their Matriculation mathematics exam chose their 50 objective questions and handled their time.
  • Get badges, complete your daily 15-minute practice goals, and stay motivated as you revise.

AI-Based Weak Area Recommendation

Taking practice tests and not looking at the mistakes you've made causes the same errors to be made over and over again. The system on our platform has an AI-powered engine for recommending weak areas, which functions similarly to that of a personal tutor.

Here is how the analysis works:

  1. You finish a 50-question practice test.
  2. The engine looks at the questions that you answered incorrectly or failed to answer.
  3. If you scored 90% in Real Numbers and Coordinate Geometry but only 40% in Trigonometry identities (sec^2 θ − tan^2 θ = 1), the system will highlight Trigonometry in red on your personal dashboard.
  4. The system gives an automatic suggestion that you have not asked about complementary angles and trigonometric identities and that you should review the formulas for sin(90° − θ) and that brings us to the end of our 10-question Trigonometry exercise before you start the next full test.
AI-BASED Mtah 10th class WEAK AREA RECOMMENDATION

(Caption: AI-powered student dashboard displaying chapter-wise accuracy heatmaps, time-per-question analysis, and personalized revision recommendations for Bihar Board Class 10 Math.)

Common Mistakes Students Make in Bihar Board Class 10th Math

Avoid these common mistakes to protect your score on exam day:

  • Trying to cover more than 50 objectives: it is wasted time to mark 60 or 70 bubbles on the OMR sheet since the scanning machine only considers the first 50 bubbles and evaluates them from top to bottom, ignoring any correct answers that come after question 50.
  • The trigonometry section contains almost 20 to 25 marks. Students should not skip learning the standard values (such as tan30°, cos45°) will lose marks easily on questions which take only 10 seconds to solve.
  • If when doing the OMR sheet you solve question 14 but by mistake put a mark in bubble number 15, then all of your following answers will be affected. Always check the question numbers as you are marking them.
  • Wasting a lot of time on difficult questions: if you are stuck on a complex geometry or algebra question in Section A, you will be losing valuable minutes. In such a case, skip the question and do one of the other 100 questions.
  • Failing to use the rough work sheets: carrying out messy rough work in the margins of your answer paper often causes you to misread your own handwriting (for example, mistaking a 7 for a 1). Cleanly use the prescribed rough work sheets.
  • Ignoring the Minus Sign in Quadratic Roots: Forgetting that α+β=−b/a (with a negative sign) while αβ=c/a is one of the most frequent errors in the algebra section.
  • If you leave any of your 50 multiple-choice questions unanswered, you're missing out because there is no penalty for wrong answers. When in doubt, cross out the options that are least likely and then make an informed guess.

Preparation Strategy: Balancing Objective Speed with Subjective Steps

To score 90+ in Bihar Board Math, you must prepare for both Section A (Objective) and Section B (Subjective) together:

Preparation Phase Focus Area Daily Action Routine
Phase 1 memorise the formulas by making a four-page notebook which includes the trigonometric identities, the surface areas in mensuration, the A.P. formulas and the distances in coordinate geometry, and then you must read through this notebook every morning.
Phase 2 Speed Drills with the aim of improving your speed by attempting 50 objective questions in 45 minutes. Each day practise solving 30 objective questions from past year papers using a stopwatch and learn to recognise direct formula questions at once.
Phase 3: Step-by-Step Subjective Writing Section B (2 & 5 Mark Questions) Practice writing complete mathematical steps for 2-mark short questions (like proving √5 is irrational) and for the five-mark long questions (for example Graphical solution of linear equations or theorem proofs).
Phase 4 full-length OMR simulations the exam duration is 3 hours and 15 minutes, and you must complete at least five full-length model papers. For Section A (OMR) allow 50 minutes, 75 minutes for the two-mark questions and 50 minutes for the five-mark questions, with 20 minutes reserved for revision.

Recommended Books & Study Materials

It's advisable not to use too many reference books and instead should concentrate on these main resources:

Book Title / Resource Publisher / Author Primary Usage
NCERT Mathematics Class 10 (गणित) NCERT / BSTBPC you are to read all the chapters, work through all the examples, and do all the exercise problems, since most of the questions asked in the examinations are taken directly from this book.
Model question papers from the BSEB Bihar School Examination Board To get a clear understanding of the present style and format of the questions, it is advisable to practice the most recent official model papers.
Target / Alok / Golden BSEB Question Bank Bihar State Publishers offers practice with the objective and subjective questions from the last 10 years, covering the period from 2015 to 2026.
MockTestCenter.com Online Chapter Tests MockTestCenter / Sarkarimocktest Timed chapter-by-chapter tests and full-length OMR simulations with immediate accuracy feedback are offered through this resource.

The criteria for eligibility: who is eligible to take this exam?

The Bihar Board Class 10th Math examination is open to students who meet the standard state enrollment criteria:

Eligibility Factor Official Requirement Key Details
Academic enrolment regular or private student have to be enrolled in Class 10 at a school which is recognised by BSEB.
Age requirement 14 years old or over provided that March 1 of the year in which the examination takes place has arrived.
School Sent-Up Exam pass the School Sent-Up Exam students must take and pass their school's internal pre-board (Sent-Up) exams in November.
Requirement regarding attendance Students who are enrolled regularly must meet the board's minimum attendance rule in their school classes. Minimum 75% attendance
Registration Status valid registration card It is necessary to have a valid registration card from the Bihar School Examination Board together with a roll code.

Bihar Board Class 10th 2027 Important Dates

Stay organized by tracking the key milestones for the 2027 examination cycle:

Event Expected Timeline Official Status
Matric Examination Form Filling September – October 2026 Through school administration
Dummy Admit Card Verification November 2026 Check spelling of name, father's name, and subject code
Sent-Up (Pre-Board) Examination Late November 2026 Mandatory internal school exam
Final Admit Card Release Third week of January 2027 Distributed with school headmaster signature
BSEB Class 10 Math Exam Date Mid-February 2027 (Tentative: Feb 15–18, 2027) Annual Theory Exam (First or Second Day)
Official Answer Key Release (Objectives) Early March 2027 Online challenge window on BSEB website
Matric Annual Result Announcement Late March / Early April 2027 Published on online result portals

Free vs Paid Mock Test: What You Get

We believe that fundamental training should be available to all students in Bihar. The following compares our free version with the complete test package:

Feature Component Free Tier Access Full Pro Test Series
Full-Length 100-Question Tests 2 Complete Mocks Free 15 Full-Length BSEB Simulation Papers
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Daily Current Affairs & General Knowledge Quiz

When you are preparing for your board exams, keeping up with important state and national developments will help you develop a solid base of general knowledge for future competitive exams such as Polytechnic, ITI, NDA, or SSC.

How to Apply: Bihar Board Class 10 Matric 2027 Exam Form Process

The process for applying for the exam is looked after by your school. The steps are as follows:

  1. Get the exam application form: Ask your headmaster or clerk at school for the official Class 10 examination form.
  2. Complete the section on personal details by filling in your name, your father's name, your mother's name, your date of birth, your caste category, and your Aadhaar number identical to how they appear on your BSEB Registration Card.
  3. Choose your subject combination and make sure that Mathematics (Subject Code 110) is included together with Science, Social Science, Hindi/Urdu, and English.
  4. You must attach two recent passport-sized colour photographs, a photocopy of your registration card, and any caste or income certificates.
  5. Pay the exam fee to the Board: when applying, pay the application fee (the regular fees differ slightly according to whether the candidate is from the general category or a reserved category as decided by BSEB).
  6. The headmaster of your school will upload your information and submit the application through secondary.biharboardonline.com.
  7. When the board puts out the dummy admit card in November, make sure that your name and the subjects are correct and ask your school right away for any corrections if there are errors.

About the Author

Shubham Kumar Sah is the founder of SarkariMockTest.com, a mock test platform built for students preparing for competitive government exams and board examinations across India. With over 4 years of experience in the Indian ed-tech and exam preparation space, he is also a UPSC Civil Services aspirant himself, which shapes how he designs and reviews every test on the platform — from the questions asked to the exam interface students see.

Shubham has worked on exam preparation content for UPSC, BPSC, SSC, Railways, and Police exams. His focus is simple: give students clear, honest, and free-to-access study material, especially those preparing from small towns and villages in Bihar who cannot afford expensive coaching institutes in Patna or Delhi.

Your Next Step to Score 50/50 in Math Objectives

Follow this practical daily study plan:

  1. Pick one chapter from the micro-syllabus table above (we recommend starting with Trigonometry or Coordinate Geometry).
  2. Review the chapter's key formulas in your notebook for 15 minutes.
  3. Take your first free chapter-wise online mock test on our platform.
  4. Review your scorecard, check which formulas you mixed up, and read the step-by-step explanations.
  5. Practice filling bubbles on a physical paper OMR sheet to build muscle memory before your final board exam.

Frequently Asked Questions (FAQ)

Q Q1. What is the Bihar Board Class 10th Math online test?

The online maths test for class 10 offered by the Bihar Board is a practice exam that has been prepared in accordance with the official BSEB matric syllabus and includes objective multiple-choice questions corresponding to the pattern of Section A of the 100-question exam, with immediate scoring, explanations and timing features.

Q Q2. How many objective type questions are there in the 10th class Mathematics exam of the Bihar Board?

Section A of the question paper has 100 objective multiple-choice questions. Students need to pick and answer any 50 questions on their OMR sheet.

Q Q3. What will occur if I fill in more than 50 objective questions on the OMR sheet?

The OMR scanner which is computerized only considers the first 50 bubbles that have been marked, going from top to bottom and ignores any answers for questions after the 50th, even if those answers are correct.

Q 4. Is there negative marking in the mathematics exam for the Bihar Board Matriculation?

No negative marking takes place in BSEB exams; you are awarded one mark for each question that you answer correctly and no marks are taken off for questions that you answer incorrectly or do not attempt.

Q Q5. What mark is required to pass the Bihar Board Class 10 Mathematics exam?

In order to pass the mathematics exam, students have to obtain a total score of at least 30 out of 100 from both Section A (the objective section) and Section B (the subjective section).

Q Q6. Where is the mock test for 10th-grade mathematics from the Bihar Board with answers available?

Full-length and chapter-wise mock tests together with step-by-step formula explanations are available for free on MockTestCenter.com and sarkarimocktest.com.

Q Q7. Which chapter obtains the highest score in the Bihar Board's 10th class Mathematics?

The chapter on Trigonometry (Chapters 8 and 9) has the greatest individual weight, comprising between 18 and 22 objective questions and a number of multiple subjective questions for a total of about 35 marks.

Q 8. Is it possible for me to get the PDF of the Bihar Board's 10th class maths mock test along with the answers?

You can indeed download the full question paper together with the answer key as a printable PDF after having finished an online test on our platform so that you can use it for offline practice.

Q Q9: How long should I allocate to Section A (the objective questions) when I'm taking the exam?

You need to finish all 50 of the objective questions on the OMR sheet in between 50 and 60 minutes, which will leave you with more than two hours for writing your answers in Section B.

Q Q10. What is the lowest score needed to obtain a First Division in the Matric?

In order to gain a place in the First Division, a candidate must obtain a total of at least 300 marks out of 500 in all of the five required subjects (this amounts to an overall average of 60% or more).

Q Q11. Are the questions in this mock test available in Hindi?

Yes, the questions and the explanations are provided in two languages so that students from both the Hindi medium (बिहार बोर्ड मैट्रिक गणित ऑनलाइन टेस्ट) and the English medium can practice at ease.

Q Q12. What is the empirical relationship between mean, median, and mode in statistics?

The formula is Mode = 3(Median) - 2(Mean), or in Hindi: बहुलक = 3(माध्यक) - 2(माध्य). This relationship is often used as the subject of objective questions.

Q Q13. How does the AI-powered system for recommending weak areas function?

The system looks at your answers in all the chapters; if you keep making mistakes in chapters such as Quadratic Equations or Trigonometry, it will flag that topic on your dashboard and create a custom revision drill.

Q Q14. What is the distance between the point (x, y) and the origin (0, 0)?

The distance from the origin is given by the formula: Distance = √(x² + y²). For instance, the point (3, 4) is √(3² + 4²) = 5 units from the origin.

Q Q15. Can a probability figure ever be less than zero or more than 1?

Certainly, the probability of any event always lies between 0 and 1 (0 ≤ P(E) ≤ 1) and a question which asks which of four options cannot be a probability can be answered by identifying any value that is negative or greater than 1.

Q Q16. What is the discriminant formula for a quadratic equation?

The discriminant of the quadratic equation ax² + bx + c = 0 is given by: D = b² - 4ac. When D is greater than 0, the roots are real and different; when D is equal to 0, the roots are real and equal; and when D is less than 0, no real roots exist.

Q Q17. What is the value of 9 sec² A − 9 tan² A?

By using the trigonometric identity sec²A - tan²A = 1 and factoring out 9, we get 9(sec²A - tan²A) = 9(1) = 9. This question is one of the most frequently repeated objective questions in the history of BSEB.

Q Q18. What time will the Bihar Board's Class 10th Mathematics examination in 2027 take place?

The Class 10 Mathematics theory exam is usually taken in mid-February (that is, between the 15th and the 18th of February) either in the morning or in the afternoon shift.

Q Q20. What are the steps I should take when the first few multiple-choice questions are difficult?

There's no need to panic—you have a selection of 100 questions and only need to choose 50. Move on to the chapters that you are familiar with, for example Coordinate Geometry, Statistics, or Real Numbers—and select your 50 questions from those.

Q Q21. How can I prepare for objective questions and subjective ones at the same time?

When studying a formula for objective questions, you should practice working out the full step-by-step calculation for a two-mark question, and also carry out practice of proving theorems, graphical solutions, and height-and-distance problems by hand on paper.

Q Q22. What is the formula for the n-th term of an arithmetic progression?

The formula is aₙ = a + (n - 1)d, 'a' representing the first term, 'd' the common difference, and 'n' the number of terms.

Q Q22: Is it necessary to use a ballpoint pen when filling out OMR sheets in the Bihar Board exams?

You are required to use either a blue or a black ballpoint pen when filling in the OMR bubbles, since gel pens and pencils are strictly forbidden as they smudge and may cause the optical scanner to reject your sheet.

Q Q24. What are the VVI objective questions in the Bihar Board?

VVI (Very Very Important) questions are those which have a high yield and are based on formulas and concepts that have consistently appeared in previous BSEB board papers.

Q Q25. In section B, how many short-answer questions are there and how many of them do I have to answer?

Section B has 30 short-answer questions, each carrying 2 marks; you must answer exactly 15 of them, giving a total of 30 marks.

Q Q26. How many long-answer questions are there in Section B?

In Section B there are 8 long-answer questions, each carrying 5 marks; you are required to answer exactly 4 of them, making a total of 20 marks. These typically involve a proof of a theorem, a graph, a construction and a trigonometry problem.

Q Q27. What is the condition that must be met for the rational number p/q to have a terminating decimal?

A fraction p/q will have a decimal expansion which terminates if the prime factorization of the denominator q is of the type 2ⁿ5ᵐ, n and m being non-negative integers.

Q Q28. How is the All India Rank calculated on this mock test platform?

The result displays your score and the time it took you to complete the test in comparison with other Matric students from Bihar who have taken the same practice test, thus giving you a clear idea of your position within the state.

Q Q29. Where can I find official BSEB Class 10 model question papers?

The official model question papers are made available as downloadable PDFs on the Bihar Board website (secondary.biharboardonline.com) in December of the year before the annual exam.

Q Q30. What is the most effective method for avoiding mistakes when doing the mathematics exam?

Make sure that your rough work is neat and well organised on the rough pages, and clearly write out each calculation step rather than attempting to carry out multi-step multiplication or division in your head.

Q Q31: Will doing practice mock tests enable me to secure a score higher than 90 in Mathematics for the Bihar Board?

Yes, when you work through full-length mock exams you develop the speed and accuracy required to achieve a perfect 50/50 result in Section A; this strong base then enables you to spend the time and gain the confidence needed to produce clear, step-by-step subjective answers in Section B.

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