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100+ Free Bihar BSEB Matric Mathematics Practice Questions

Bihar School Examination Board (BSEB) Matric Class 10 Mathematics practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Bihar BSEB Matric Mathematics Exam

~100 marks

Commonly reported theory total for Matric Mathematics

BSEB Matric pattern reporting (confirm current circular)

3 h 15 m

Typical exam duration including reading time

BSEB Matric exam logistics (secondary-consistent)

~30%

Commonly reported minimum per-subject pass mark

BSEB pass criteria reporting (confirm current circular)

110-MATHEMATICS

Official Matric model paper code listing

BSEB Matric model papers on biharboardonline.com

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

BSEB Matric Mathematics is a Class 10 board subject with a mixed objective + subjective paper, commonly about 3 hours 15 minutes including reading time, and theory often described as ~100 marks. Pass is commonly ~30% 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 OMR/subjective paper simulation.

Sample Bihar BSEB Matric Mathematics Practice Questions

Try these sample questions to test your Bihar BSEB Matric Mathematics exam readiness. 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, the HCF of 96 and 404 is:
A.4
B.8
C.12
D.16
Explanation: Apply Euclid's algorithm: 404 = 96 × 4 + 20; 96 = 20 × 4 + 16; 20 = 16 × 1 + 4; 16 = 4 × 4 + 0. The last non-zero remainder is 4, so HCF(96, 404) = 4.
2If two positive integers a and b are written as a = p³q² and b = p q³, where p and q are primes, then LCM(a, b) is:
A.p³q³
B.p q
C.p³q²
D.p²q³
Explanation: LCM takes the highest power of each prime factor: max(3,1)=3 for p and max(2,3)=3 for q. Therefore LCM(a, b) = p³q³.
3The decimal expansion of 17/8 terminates after how many places?
A.1
B.2
C.3
D.It is non-terminating
Explanation: 8 = 2³, so the denominator in lowest terms has only 2 as a prime factor. A rational number has a terminating decimal after k places where k is the higher of the powers of 2 and 5 in the denominator; here k = 3. Indeed 17/8 = 2.125.
4Which of the following is an irrational number?
A.√(49/121)
B.√8 / √2
C.√5
D.0.333... (3 repeating)
Explanation: √5 cannot be written as a ratio of two integers because 5 is not a perfect square. √(49/121) = 7/11, √8/√2 = √4 = 2, and 0.333... = 1/3 are all rational.
5If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is:
A.150
B.120
C.180
D.240
Explanation: For positive integers, HCF(a, b) × LCM(a, b) = a × b. Therefore LCM(a, b) = 1800 / 12 = 150.
6The LCM of 8, 12 and 20 is:
A.60
B.80
C.120
D.240
Explanation: 8 = 2³, 12 = 2² × 3, 20 = 2² × 5. LCM takes highest powers: 2³ × 3 × 5 = 8 × 3 × 5 = 120.
7If the zeros of the quadratic polynomial x² − 5x + 6 are α and β, then α + β equals:
A.5
B.6
C.−5
D.−6
Explanation: For ax² + bx + c with a = 1, b = −5, c = 6, the sum of zeros α + β = −b/a = 5. (The zeros are 2 and 3.)
8A quadratic polynomial whose zeros are 3 and −2 is:
A.x² − x − 6
B.x² + x − 6
C.x² − x + 6
D.x² + 5x + 6
Explanation: Sum of zeros = 3 + (−2) = 1 and product = 3 × (−2) = −6. The monic polynomial is x² − (sum)x + (product) = x² − x − 6.
9If one zero of the polynomial 2x² + 3x + k is 1/2, then k equals:
A.−2
B.2
C.−1
D.1
Explanation: If 1/2 is a zero, substitute x = 1/2: 2(1/4) + 3(1/2) + k = 0 ⇒ 1/2 + 3/2 + k = 0 ⇒ 2 + k = 0 ⇒ k = −2.
10On dividing 2x³ + 3x² − 2x − 3 by x + 1, the remainder is:
A.0
B.1
C.−1
D.2
Explanation: By the remainder theorem, remainder = p(−1) = 2(−1)³ + 3(1) − 2(−1) − 3 = −2 + 3 + 2 − 3 = 0. So x + 1 is a factor.

About the Bihar BSEB Matric Mathematics Practice Questions

Verified exam format metadata for Bihar School Examination Board (BSEB) Matric Class 10 Mathematics is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.