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Key Facts: WBBSE Madhyamik Mathematics Exam

Administered by the West Bengal Board of Secondary Education (WBBSE).

Mandatory core subject for Class 10 Madhyamik Pariksha certification.

Adapts traditional written board exam content into English practice MCQs with full quantitative working.

Calculators are not permitted in WBBSE Class 10 examinations.

Covers comprehensive secondary mathematics spanning 6 major syllabus units.

An English-language MCQ study adaptation for WBBSE Class 10 Madhyamik Mathematics covering simple & compound interest, quadratic equations, geometry theorems, trigonometry, solid mensuration, and statistics with worked numerical solutions.

Sample WBBSE Madhyamik Mathematics Practice Questions

Try these sample questions to review concepts for the WBBSE Madhyamik Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A principal of ₹5,000 is invested at a simple interest rate of 6% per annum. What is the total simple interest earned after 3 years?
A.₹900
B.₹800
C.₹1,000
D.₹950
Explanation: Simple Interest (I) is calculated using the formula I = (P × R × T) / 100. Substituting P = 5000, R = 6, and T = 3 gives I = (5000 × 6 × 3) / 100 = 90000 / 100 = ₹900.
2If a sum of money doubles itself in 10 years at simple interest, what is the annual rate of interest?
A.10%
B.5%
C.12%
D.15%
Explanation: Let the principal be P. When it doubles, Amount A = 2P, so Simple Interest I = 2P - P = P. Using I = (P × R × T) / 100, we get P = (P × R × 10) / 100, which simplifies to 1 = R / 10, hence R = 10%.
3Calculate the compound interest on ₹10,000 for 2 years at 10% per annum compounded annually.
A.₹2,100
B.₹2,000
C.₹2,200
D.₹2,050
Explanation: Amount A = P(1 + R/100)^N = 10000(1 + 10/100)^2 = 10000(1.1)^2 = 10000 × 1.21 = ₹12,100. Compound Interest CI = A - P = 12100 - 10000 = ₹2,100.
4A and B start a joint business investing ₹4,000 and ₹6,000 respectively. If the annual profit is ₹5,000, what is A's share of profit?
A.₹2,000
B.₹2,500
C.₹3,000
D.₹1,800
Explanation: The ratio of investments of A and B is 4000 : 6000 = 2 : 3. Sum of ratio terms = 2 + 3 = 5. A's share = (2/5) × ₹5,000 = ₹2,000.
5In how many years will a principal of ₹800 amount to ₹960 at a simple interest rate of 5% per annum?
A.4 years
B.3 years
C.5 years
D.6 years
Explanation: Total Simple Interest I = Amount - Principal = 960 - 800 = ₹160. Using T = (100 × I) / (P × R), we substitute T = (100 × 160) / (800 × 5) = 16000 / 4000 = 4 years.
6If the ratio of principal to total amount after 5 years at simple interest is 4 : 5, find the rate of interest per annum.
A.5%
B.4%
C.6%
D.8%
Explanation: Let principal P = 4x and total amount A = 5x. Interest I = 5x - 4x = x. Using I = (P × R × T) / 100, we get x = (4x × R × 5) / 100 = 20x R / 100 = (x R) / 5. Simplifying gives R = 5%.
7Find the compound interest on ₹8,000 for 1 year at 10% per annum compounded half-yearly.
A.₹820
B.₹800
C.₹840
D.₹850
Explanation: When compounded half-yearly, half-year rate r = 10 / 2 = 5% and number of periods n = 1 × 2 = 2. Amount A = 8000(1 + 5/100)^2 = 8000(1.05)^2 = 8000 × 1.1025 = ₹8,820. Compound Interest = 8820 - 8000 = ₹820.
8The population of a town is 10,000 and increases at a uniform rate of 10% annually. What will be its population after 2 years?
A.12,100
B.12,000
C.11,500
D.12,200
Explanation: Using the uniform growth formula P_n = P_0(1 + r/100)^n: P_2 = 10000(1 + 10/100)^2 = 10000(1.1)^2 = 10000 × 1.21 = 12,100.
9A machine bought for ₹20,000 depreciates at a uniform rate of 10% per annum. What is its value after 2 years?
A.₹16,200
B.₹16,000
C.₹16,500
D.₹15,800
Explanation: Using the uniform rate of decay formula V = V_0(1 - r/100)^n: V = 20000(1 - 10/100)^2 = 20000(0.9)^2 = 20000 × 0.81 = ₹16,200.
10A invests ₹5,000 in a business for 9 months and B invests ₹6,000 for 5 months. What is the ratio of their profit shares?
A.3 : 2
B.5 : 6
C.4 : 3
D.9 : 5
Explanation: In a compound partnership, profit shares are proportional to equivalent monthly capital (Capital × Time). A's capital-month product = 5000 × 9 = 45000. B's capital-month product = 6000 × 5 = 30000. Ratio = 45000 : 30000 = 3 : 2.

About the WBBSE Madhyamik Mathematics Exam

The West Bengal Board of Secondary Education (WBBSE) Madhyamik Class 10 Mathematics examination assesses foundational competence across Arithmetic, Algebra, Geometry, Trigonometry, Mensuration, and Statistics. Note: This digital preparation material is an English-language MCQ study adaptation designed for practice and self-assessment for WBBSE Madhyamik candidates.

Exam sponsor: West Bengal Board of Secondary Education (WBBSE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Madhyamik Mathematics: 90-mark written paper (objective, very-short, short and long answer) plus 10 marks internal assessment, written in a single 3-hour-15-minute sitting.

Time Limit

3 hours 15 minutes (10:45 a.m. to 2:00 p.m., including 15 minutes' reading time)

Passing Score

WBBSE reports each subject on a seven-point grade scale: AA 90-100, A+ 80-89, A 60-79, B+ 45-59, B 35-44, C 25-34 (marginal pass) and D below 25 (disqualified). Grade C is therefore the minimum subject grade and a D in any compulsory subject makes the overall result unsuccessful. Division bands are separate: 1st division 480+, 2nd 360+, 3rd 272+ out of 800.

Exam / Certification Fees

WBBSE does not publish a single per-candidate examination fee with the Madhyamik routine. Enrolment is made by the school online through wbbsedata.com within the Board's registration window, and the amount payable is set by the Board's enrolment circular for that session. Confirm the current figure with your school or the Board's notification rather than relying on a quoted estimate.

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.

core

Exam Overview & Syllabus

Overview of the WBBSE Class 10 syllabus structure and assessment pattern.

core

Core Units & Knowledge Areas

Detailed breakdown of primary subject units and learning competencies.

core

Revision & Practice Strategies

Effective study routines, problem-solving methods, and exam strategies.

Preparing for the WBBSE Madhyamik Mathematics Exam

What You Need to Know

  • Passing score: WBBSE reports each subject on a seven-point grade scale: AA 90-100, A+ 80-89, A 60-79, B+ 45-59, B 35-44, C 25-34 (marginal pass) and D below 25 (disqualified). Grade C is therefore the minimum subject grade and a D in any compulsory subject makes the overall result unsuccessful. Division bands are separate: 1st division 480+, 2nd 360+, 3rd 272+ out of 800.
  • Assessment: Madhyamik Mathematics: 90-mark written paper (objective, very-short, short and long answer) plus 10 marks internal assessment, written in a single 3-hour-15-minute sitting.
  • Time limit: 3 hours 15 minutes (10:45 a.m. to 2:00 p.m., including 15 minutes' reading time)
  • Exam / certification fees: WBBSE does not publish a single per-candidate examination fee with the Madhyamik routine. Enrolment is made by the school online through wbbsedata.com within the Board's registration window, and the amount payable is set by the Board's enrolment circular for that session. Confirm the current figure with your school or the Board's notification rather than relying on a quoted estimate. 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

WBBSE Madhyamik Mathematics: Suggested Study Strategy

1Memorize key formulas for compound interest, mensuration surface areas/volumes, and trigonometric identities.
2Practice step-by-step algebraic derivations and quadratic formula applications without relying on a calculator.
3Draw neat diagrams for geometry theorems, cyclic quadrilateral properties, and heights & distances problems.
4Understand the difference between direct mean, assumed mean, and step deviation methods in statistics.
5Solve previous years' Madhyamik question papers to manage time effectively within the 3-hour limit.

Frequently Asked Questions

What topics are covered in the WBBSE Madhyamik Mathematics syllabus?

The syllabus covers six main branches: Arithmetic (Simple Interest, Compound Interest, Partnership), Algebra (Quadratic Equations, Ratio & Proportion, Variation, Surds), Geometry (Circle Theorems, Tangents, Similarity), Trigonometry (Ratios, Identities, Heights & Distances), Mensuration (Cuboid, Cylinder, Cone, Sphere), and Statistics (Mean, Median, Mode, Ogive).

What grade does a candidate need to pass a WBBSE Madhyamik subject?

WBBSE grades each subject on a seven-point scale - AA 90-100, A+ 80-89, A 60-79, B+ 45-59, B 35-44, C 25-34 and D below 25. Grade C is the marginal pass, and a D in any compulsory subject makes the whole result unsuccessful. The 34% figure that circulates widely is the third-division band (272 of 800), not the subject pass grade. Check the Board's notification for the rule applying to your sitting.

Is this question bank an official WBBSE exam paper?

No. This collection is an independent English-language MCQ study adaptation designed to help students master the WBBSE Class 10 Mathematics curriculum through practice and detailed solutions.

What is the duration of the official Madhyamik Mathematics examination?

The official duration is 3 hours 15 minutes, sat from 10:45 a.m. to 2:00 p.m., of which the first 15 minutes are reading time.

Are scientific calculators permitted in the Madhyamik Mathematics exam?

No. WBBSE board rules prohibit calculators during the Madhyamik examinations; all calculations must be performed manually.

How are marks distributed across the syllabus branches?

The written paper worth 90 marks typically allocates approximately 12-15 marks to Arithmetic, 20 marks to Algebra, 20-22 marks to Geometry, 18 marks to Trigonometry, 15 marks to Mensuration, and 8 marks to Statistics.