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100+ Free Tamil Nadu HSE Second Year Mathematics Practice Questions

Tamil Nadu Higher Secondary Second Year (HSE +2 / Class 12) Mathematics under the Directorate of Government Examinations (DGE), Tamil Nadu practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Tamil Nadu HSE Second Year Mathematics Exam

10:00–1:15

Official March 2026 HSE+2 theory sitting window including reading/verification time (dge.tn.gov.in timetable)

DGE TN HSE+2 March 2026 public examination timetable

35/100

Minimum pass mark per subject under the HSE new pattern, subject to theory/practical floor rules

DGE HSE_E.pdf scheme of examination

3 hours

Approximate theory writing duration after reading and particulars verification in the public exam schedule

DGE TN HSE+2 March 2026 timetable

DGE TN

Administered by the Directorate of Government Examinations, Chennai, for Tamil Nadu State Board Higher Secondary

dge.tn.gov.in

SCERT syllabus

Class 12 textbooks and syllabus prescribed by SCERT / School Education Department (Samacheer Kalvi)

DGE HSE scheme — syllabus prescribed by SCERT/DSE

English MCQ bank

This practice set is an English-language MCQ study adaptation, not the official mixed written paper

OpenExamPrep practice-content policy

₹150/₹200

School exam fee band for groups without/with practical subjects plus certificate/service charges (concessions apply)

DGE HSE_E.pdf school candidate fee table

March 2026

HSE Second Year public theory examinations scheduled 2–26 March 2026 with practicals 9–14 February 2026

DGE TN official timetable PDF 04.11.2025

Free English MCQ practice for Tamil Nadu HSE +2 Mathematics (DGE). Official paper is mixed written theory on the Samacheer Kalvi Class 12 syllabus — this bank is a study adaptation, not a format simulation.

Sample Tamil Nadu HSE Second Year Mathematics Practice Questions

Try these sample questions to test your Tamil Nadu HSE Second Year Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If A = [[2, 3], [1, 4]], then det(A) equals:
A.5
B.8
C.11
D.−1
Explanation: For a 2×2 matrix [[a, b], [c, d]], det(A) = ad − bc. Here det(A) = (2)(4) − (3)(1) = 8 − 3 = 5.
2If A = [[1, 2], [3, 4]], then A⁻¹ equals:
A.[[4, −2], [−3, 1]]
B.[[−2, 1], [3/2, −1/2]]
C.[[−2, 1], [1.5, −0.5]] / 2
D.[[1, −2], [−3, 4]]
Explanation: det(A) = 1·4 − 2·3 = −2. Then A⁻¹ = (1/det A)·[[d, −b], [−c, a]] = (−1/2)·[[4, −2], [−3, 1]] = [[−2, 1], [3/2, −1/2]].
3If A is a square matrix of order 3 and |A| = 4, then |adj A| equals:
A.4
B.64
C.16
D.8
Explanation: For an n×n matrix, |adj A| = |A|^{n−1}. With n = 3 and |A| = 4, |adj A| = 4² = 16.
4The system x + y = 3, 2x + 2y = 6 is:
A.Consistent with a unique solution
B.Inconsistent
C.Consistent only when x = y
D.Consistent with infinitely many solutions
Explanation: The second equation is exactly twice the first, so both represent the same line. There are infinitely many solutions (all points on that line).
5If A = [[0, 1], [−1, 0]], then A² equals:
A.[[−1, 0], [0, −1]]
B.[[1, 0], [0, 1]]
C.[[0, −1], [1, 0]]
D.[[0, 0], [0, 0]]
Explanation: A² = [[0, 1], [−1, 0]]·[[0, 1], [−1, 0]] = [[0·0+1·(−1), 0·1+1·0], [−1·0+0·(−1), −1·1+0·0]] = [[−1, 0], [0, −1]] = −I.
6If A is skew-symmetric of odd order, then |A| equals:
A.1
B.0
C.−1
D.n
Explanation: For a skew-symmetric matrix, Aᵀ = −A, so |Aᵀ| = |−A| = (−1)ⁿ|A|. But |Aᵀ| = |A|, so |A| = (−1)ⁿ|A|. When n is odd, (−1)ⁿ = −1, forcing |A| = −|A|, hence |A| = 0.
7If A = [[1, 2, 3], [0, 1, 4], [0, 0, 1]], then |A| equals:
A.0
B.2
C.1
D.−1
Explanation: A is upper triangular, so its determinant equals the product of the diagonal entries: 1·1·1 = 1.
8If A = [[3, 1], [2, 4]] and A(adj A) = k I, then k equals:
A.12
B.7
C.1
D.10
Explanation: Always A(adj A) = |A| I. Here |A| = 3·4 − 1·2 = 12 − 2 = 10, so k = 10.
9The modulus of the complex number 3 + 4i is:
A.5
B.7
C.25
D.√7
Explanation: |a + bi| = √(a² + b²) = √(9 + 16) = √25 = 5.
10(1 + i)/(1 − i) simplifies to:
A.−i
B.i
C.1
D.−1
Explanation: Multiply numerator and denominator by the conjugate of the denominator: (1+i)(1+i)/((1−i)(1+i)) = (1+2i+i²)/(1−i²) = (1+2i−1)/(1+1) = 2i/2 = i.

About the Tamil Nadu HSE Second Year Mathematics Practice Questions

Verified exam format metadata for Tamil Nadu Higher Secondary Second Year (HSE +2 / Class 12) Mathematics under the Directorate of Government Examinations (DGE), Tamil Nadu is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.