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100+ Free UPMSP High School Mathematics Practice Questions

Uttar Pradesh UPMSP High School (Class 10) Mathematics — Code 928 practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: UPMSP High School Mathematics Exam

928

UPMSP High School subject code for Mathematics

UPMSP subject directory / Board_Syllabus.aspx

70 + 30

Common Theory + Internal full marks pattern (total 100)

UPMSP Class 10 subject syllabi (e.g., Science, English PDFs)

3 h 15 m

Typical theory paper duration (confirm subject scheme)

UPMSP High School examination practice

33%

Common minimum pass threshold under UPMSP rules

Widely published UPMSP High School pass criteria (confirm circular)

6 subjects

High School candidates offer five compulsory + one optional subject

UPMSP High School subject combination rules PDF

MCQ study aid

Local bank adapts knowledge to four-option MCQs; official paper is mixed format

OpenExamPrep assessment-format policy

UPMSP High School (Class 10) Mathematics (code 928): mixed board paper, commonly Theory 70 + Internal 30 = 100, ~3h15m. Pass about 33% per UPMSP rules. Fee as per board notification. Free English MCQ study aid — not a full mixed-paper simulation.

Sample UPMSP High School Mathematics Practice Questions

Try these sample questions to test your UPMSP High School 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 135 and 225 is:
A.15
B.45
C.75
D.90
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 HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) equals:
A.120
B.150
C.180
D.1500
Explanation: For positive integers, HCF(a, b) × LCM(a, b) = a × b. Therefore LCM(a, b) = 1800 ÷ 12 = 150.
3The LCM of 12, 18 and 24 is:
A.36
B.48
C.72
D.96
Explanation: Prime factors: 12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3. LCM takes highest powers: 2³ × 3² = 8 × 9 = 72.
4Which of the following is an irrational number?
A.√(16/25)
B.√49 − √9
C.√2 + √8
D.√(9/4)
Explanation: √2 + √8 = √2 + 2√2 = 3√2, which is irrational. √(16/25) = 4/5, √49 − √9 = 4, and √(9/4) = 3/2 are all rational.
5If p and q are distinct primes, then HCF(p³q, pq²) is:
A.pq
B.p³q²
C.p³q
D.pq²
Explanation: p³q = p³ × q¹ and pq² = p¹ × q². HCF takes the lowest powers of each prime: p¹q¹ = pq.
6If one zero of the polynomial 2x² − 5x + k is 2, then k equals:
A.2
B.4
C.6
D.8
Explanation: If x = 2 is a zero, 2(2)² − 5(2) + k = 0 → 8 − 10 + k = 0 → k = 2.
7For the quadratic polynomial x² − 5x + 6, the sum of zeros is:
A.−5
B.5
C.6
D.−6
Explanation: For ax² + bx + c, sum of zeros = −b/a. Here a = 1, b = −5, so sum = −(−5)/1 = 5. (Zeros are 2 and 3.)
8The product of the zeros of 3x² − 5x − 2 is:
A.−2/3
B.2/3
C.5/3
D.−5/3
Explanation: Product of zeros = c/a = −2/3.
9If the zeros of the polynomial x² − kx + 6 are in the ratio 1 : 2, then k equals:
A.√6
B.3√2
C.3√3
D.√18
Explanation: Let zeros be α and 2α. Product α·2α = 6 ⇒ 2α² = 6 ⇒ α² = 3 ⇒ α = √3 (positive). Sum k = α + 2α = 3α = 3√3.
10A cubic polynomial with zeros −1, 1 and 2 is:
A.x³ − 2x² − x + 2
B.x³ + 2x² − x − 2
C.x³ − 2x² + x + 2
D.x³ − x² − 2x + 2
Explanation: Polynomial = (x + 1)(x − 1)(x − 2) = (x² − 1)(x − 2) = x³ − 2x² − x + 2.

About the UPMSP High School Mathematics Practice Questions

Verified exam format metadata for Uttar Pradesh UPMSP High School (Class 10) Mathematics — Code 928 is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.