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90+ Free WBCHSE HS Mathematics Practice Questions

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Key Facts: WBCHSE HS Mathematics Exam

MATH

Official WBCHSE subject code

https://wbchse.wb.gov.in/subjects/

30%

Minimum pass in theory and practical/project independently

https://wbchse.wb.gov.in/frequently-asked-questions-examination

INR 215

Class XII semester enrolment total (INR 190 to Council)

WBCHSE Memo L/PR/305/2025

bn+en

Non-language elective paper media (Bengali and English)

WBCHSE examination regulations

Sem I–IV

Higher Secondary semester system across Classes XI–XII

https://wbchse.wb.gov.in/annual-working-plan

A rigorous examination covering foundational and advanced higher secondary mathematics. English-language MCQ study adaptation for WBCHSE HS—not an official board paper.

Sample WBCHSE HS Mathematics Practice Questions

Try these sample questions to test your WBCHSE HS Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 90+ question experience with AI tutoring.

1Evaluate $\lim_{x \to 0} \frac{\sin x}{x}$.
A.0
B.1
C.
D.Does not exist
Explanation: Standard limit: lim sin x / x = 1 as x→0.
2If $f(x)=x^3-3x$, find $f'(x)$.
A.3x^2-3
B.3x^2
C.x^2-3
D.3x-3
Explanation: Power rule: derivative of x³ is 3x² and of −3x is −3.
3Derivative of $\sin x$ is:
A.\cos x
B.-\sin x
C.\tan x
D.-\cos x
Explanation: d/dx(sin x) = cos x.
4Integral $\int 2x \, dx$ equals:
A.x^2 + C
B.2x^2 + C
C.x + C
D.2 + C
Explanation: Integrating 2x with respect to x gives x² + C.
5Solve $x^2 - 5x + 6 = 0$.
A.x=2,3
B.x=1,6
C.x=-2,-3
D.x=5,6
Explanation: Factor: (x−2)(x−3)=0 gives x=2,3.
6If $A=\begin{pmatrix}2&1\\3&4\end{pmatrix}$, find det(A).
A.5
B.8
C.11
D.14
Explanation: det = 2·4 − 1·3 = 8−3 = 5.
7If $f(x)=2x+1$ and $g(x)=x^2$, find $(g\circ f)(2)$.
A.25
B.9
C.5
D.17
Explanation: First f(2) = 5, and then applying g gives g(5) = 25.
8Number of ways to arrange 4 distinct books in a row is:
A.4
B.16
C.24
D.12
Explanation: 4! = 24 permutations.
9Probability of getting exactly one head in two fair coin tosses is:
A.1/4
B.1/2
C.3/4
D.1
Explanation: Outcomes HT, TH: 2/4 = 1/2.
10If $A=\begin{pmatrix}1&2\\0&1\end{pmatrix}$, $B=\begin{pmatrix}3&1\\2&2\end{pmatrix}$, find AB (top-left entry).
A.5
B.7
C.3
D.1
Explanation: The first entry is AB₁₁ = (1 × 3) + (2 × 2) = 7.

About the WBCHSE HS Mathematics Exam

The WBCHSE Higher Secondary Mathematics exam tests students on their proficiency in advanced mathematical concepts including Calculus, Algebra, Vectors, 3D Geometry, and Probability, preparing them for higher education and engineering entrance exams. This OpenExamPrep bank is an English-language four-option MCQ study aid for WBCHSE Higher Secondary; it does not replace official Bengali/English board papers, descriptive answers, or required practical/project/performance evidence.

Assessment

WBCHSE Higher Secondary subject MATH: Semesters I–IV across Classes XI–XII; theory examinations plus practical/project/performance where the syllabus requires them.

Time Limit

As per semester notification (typically 2–3 hours for theory sittings)

Passing Score

30% minimum in theory and in practical/project independently (WBCHSE examination FAQ)

Exam Fee

Semester enrolment fee structure (Council): Sem III/IV student total INR 215 (155 enrolment + 30 processing + 30 convenience), with INR 190 to Council and INR 25 centre grant; supplementary often INR 50/paper. Separately, the public Fees page lists Class XII examination fees (within schedule) about INR 205 lab / INR 195 non-lab / INR 135 special. Confirm the applicable circular for the sitting. (West Bengal Council of Higher Secondary Education (WBCHSE))

WBCHSE HS Mathematics Exam Content Outline

core

Exam Overview & Structure

Comprehensive overview of the West Bengal Higher Secondary (in-wbchse-hs-mathematics) examination covering key topics, marking scheme, and preparation strategies.

core

Syllabus Breakdown

Detailed unit-wise breakdown of the WBCHSE Class 11 and 12 curriculum for in-wbchse-hs-mathematics, aligned with official council guidelines.

core

Study Tips & Exam Strategy

Proven preparation strategies, time management guidelines, and practice routines to achieve top scores in Higher Secondary assessments.

How to Pass the WBCHSE HS Mathematics Exam

What You Need to Know

  • Passing score: 30% minimum in theory and in practical/project independently (WBCHSE examination FAQ)
  • Assessment: WBCHSE Higher Secondary subject MATH: Semesters I–IV across Classes XI–XII; theory examinations plus practical/project/performance where the syllabus requires them.
  • Time limit: As per semester notification (typically 2–3 hours for theory sittings)
  • Exam fee: Semester enrolment fee structure (Council): Sem III/IV student total INR 215 (155 enrolment + 30 processing + 30 convenience), with INR 190 to Council and INR 25 centre grant; supplementary often INR 50/paper. Separately, the public Fees page lists Class XII examination fees (within schedule) about INR 205 lab / INR 195 non-lab / INR 135 special. Confirm the applicable circular for the sitting.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

WBCHSE HS Mathematics Study Tips from Top Performers

1Practice solving integration and differentiation problems daily.
2Memorize important formulas for trigonometry and 3D geometry.
3Solve previous years' question papers to understand the pattern.
4Focus on step-by-step solutions as partial marking is awarded.
5Maintain a formula book for quick revision before the exam.

Frequently Asked Questions

What is the total marks for the WBCHSE HS Mathematics exam?

The total marks is 100, which includes an 80-mark written theory paper and a 20-mark project.

What are the passing criteria?

Students must secure at least 30% in theory and in practical/project independently for the mandatory best-of-five subjects (two languages and three electives), per the Council examination FAQ.

Is Calculus important for this exam?

Yes, Calculus holds a significant weightage and is crucial for scoring well.

Can I use a calculator during the exam?

Standard board regulations usually prohibit programmable calculators; refer to the latest WBCHSE guidelines for specific allowed items.

How long is the theory paper?

The theory paper has a duration of 3 hours.

What is the weightage of Algebra?

Algebra, including matrices and determinants, carries a substantial portion of the total marks, typically around 15-20%.

Are these MCQs identical to the official WBCHSE MATH question paper?

No. Official non-language elective papers are set in Bengali and English under the semester system and may include descriptive and practical/project components. These items are an English MCQ study adaptation only.