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100+ Free Punjab PSEB Matric Mathematics Practice Questions

Punjab School Education Board (PSEB) Matric Class 10 Mathematics practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Punjab PSEB Matric Mathematics Exam

80+20

Theory + INA marks under Scheme of Studies 2025–26

PSEB Scheme of Studies / Class 10 Mathematics syllabus

33%

Aggregate pass requirement (theory+practical+INA)

PSEB Scheme of Studies

25%

Minimum required in theory

PSEB Scheme of Studies

Code 04

Subject code for Mathematics

PSEB Scheme of Studies 2025–26

~3 hours

Typical board theory duration (confirm date sheet)

Common Matric theory logistics / confirm on pseb.ac.in

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

PSEB Matric Mathematics (code 04) is Class 10 board maths with Theory 80 + INA 20 = 100 and a mixed written paper. Pass is 33% aggregate with min 25% theory. Fees are paid through schools. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.

Sample Punjab PSEB Matric Mathematics Practice Questions

Try these sample questions to test your Punjab PSEB 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, HCF(135, 225) is:
A.45
B.15
C.75
D.9
Explanation: 225 = 135 × 1 + 90; 135 = 90 × 1 + 45; 90 = 45 × 2 + 0. The last non-zero remainder is 45, so HCF(135, 225) = 45.
2If a = 2² × 3³ × 5 and b = 2³ × 3 × 7, then HCF(a, b) is:
A.2² × 3
B.2³ × 3³
C.2 × 3
D.2³ × 3³ × 5 × 7
Explanation: HCF uses the minimum exponents of common primes: min(2,3)=2 for 2 and min(3,1)=1 for 3. So HCF = 2² × 3 = 12.
3The decimal expansion of 7/80 terminates after how many places?
A.2
B.3
C.4
D.5
Explanation: 80 = 2⁴ × 5, so after writing with denominator 10⁴ = 2⁴ × 5⁴ we get 7/80 = (7 × 5³)/10⁴ = 875/10000 = 0.0875, which terminates after 4 decimal places. In general, the number of places equals the higher of the powers of 2 and 5 in the denominator in lowest terms.
4Which of the following is an irrational number?
A.√(36/49)
B.√12 / √3
C.√7
D.0.272727... (27 repeating)
Explanation: √7 cannot be written as a ratio of two integers because 7 is not a perfect square. √(36/49) = 6/7, √12/√3 = √4 = 2, and 0.272727... = 27/99 = 3/11 are all rational.
5If HCF(a, b) = 12 and LCM(a, b) = 180, and a = 36, then b is:
A.60
B.48
C.72
D.90
Explanation: For positive integers, HCF(a, b) × LCM(a, b) = a × b. So 12 × 180 = 36 × b ⇒ 2160 = 36b ⇒ b = 60.
6The product of two consecutive positive integers is always:
A.even
B.odd
C.a perfect square
D.a prime
Explanation: Among any two consecutive integers, one is even, so their product is always even. Consecutive integers cannot both be odd, and the product is generally neither prime nor a perfect square (e.g. 2 × 3 = 6).
7If the sum of the zeros of the quadratic polynomial kx² − 3x + 5 is 3/2, then k is:
A.2
B.−2
C.3
D.1/2
Explanation: For ax² + bx + c, sum of zeros = −b/a. Here a = k, b = −3, so sum = 3/k. Set 3/k = 3/2 ⇒ k = 2.
8A quadratic polynomial whose zeros are 3 and −5 is:
A.x² + 2x − 15
B.x² − 2x − 15
C.x² + 2x + 15
D.x² − 8x + 15
Explanation: Sum of zeros = 3 + (−5) = −2 and product = 3(−5) = −15. A monic polynomial is x² − (sum)x + product = x² − (−2)x + (−15) = x² + 2x − 15.
9If p(x) = x³ − 3x² + 4x − 12, then p(3) equals:
A.0
B.6
C.−6
D.12
Explanation: p(3) = 27 − 3(9) + 4(3) − 12 = 27 − 27 + 12 − 12 = 0. By the factor theorem, (x − 3) is a factor of p(x).
10If α and β are zeros of x² − 5x + 6, then α² + β² equals:
A.13
B.25
C.11
D.19
Explanation: α + β = 5 and αβ = 6. Then α² + β² = (α + β)² − 2αβ = 25 − 12 = 13.

About the Punjab PSEB Matric Mathematics Practice Questions

Verified exam format metadata for Punjab School Education Board (PSEB) 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.