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100+ Free Tamil Nadu HSE First Year Mathematics Practice Questions

Tamil Nadu Higher Secondary First Year (HSE +1 / Class 11) 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 First Year Mathematics Exam

10:00–1:15

Typical official HSE theory sitting window including reading/verification time (dge.tn.gov.in timetable)

DGE TN HSE March 2026 public examination timetable

35/100

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

DGE HSE_E.pdf scheme of examination

25/90

Common theory floor for languages/non-practical subjects toward the 100-mark subject total

DGE HSE_E.pdf scheme of examination

3 hours

Approximate theory writing duration after reading and particulars verification

DGE TN HSE timetable pattern

DGE TN

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

dge.tn.gov.in

SCERT syllabus

Class 11 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

March 2026

HSE First Year public examinations listed on the official DGE March 2026 timetable for arrear candidates as notified

DGE TN official timetable PDF

Free English MCQ practice for Tamil Nadu HSE +1 Mathematics (DGE). Official paper is mixed written theory on the Samacheer Kalvi Class 11 syllabus — this bank is a study adaptation, not a format simulation.

Sample Tamil Nadu HSE First Year Mathematics Practice Questions

Try these sample questions to test your Tamil Nadu HSE First 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 = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B equals:
A.{1, 2, 3, 4}
B.{2, 3}
C.{1, 4}
D.∅
Explanation: A ∩ B is the set of elements common to both A and B. The common elements are 2 and 3, so A ∩ B = {2, 3}.
2If A = {a, b} and B = {1, 2, 3}, then n(A × B) equals:
A.5
B.6
C.8
D.9
Explanation: n(A × B) = n(A)·n(B) = 2·3 = 6. The ordered pairs are (a,1), (a,2), (a,3), (b,1), (b,2), (b,3).
3Let A = {1, 2, 3, 4} and R = {(1,1), (2,2), (3,3), (4,4), (1,2), (2,1)}. Then R is:
A.reflexive only
B.symmetric only
C.reflexive and symmetric but not transitive
D.an equivalence relation
Explanation: R contains every (a,a) for a ∈ A, so it is reflexive. Whenever (a,b) ∈ R we also have (b,a) ∈ R, so R is symmetric. For transitivity, the only non-trivial chain is (1,2) and (2,1), which require (1,1) and (2,2), both in R. Hence R is an equivalence relation (partition: {1,2}, {3}, {4}).
4If f: ℝ → ℝ is defined by f(x) = 2x + 3, then f⁻¹(7) equals:
A.2
B.5
C.10
D.17
Explanation: Solve 2x + 3 = 7 ⇒ 2x = 4 ⇒ x = 2. So f⁻¹(7) = 2.
5The number of subsets of a set with 5 elements is:
A.5
B.10
C.25
D.32
Explanation: A set with n elements has 2ⁿ subsets (including ∅ and itself). Here 2⁵ = 32.
6If A = {1, 2, 3}, B = {3, 4} and C = {4, 5}, then (A ∪ B) ∩ C equals:
A.{4}
B.{3, 4}
C.{4, 5}
D.{3, 4, 5}
Explanation: A ∪ B = {1, 2, 3, 4}. Then (A ∪ B) ∩ C = {1, 2, 3, 4} ∩ {4, 5} = {4}.
7Which of the following is a one-one function from {1, 2, 3} to {a, b, c, d}?
A.{(1,a), (2,a), (3,b)}
B.{(1,a), (2,b), (3,c)}
C.{(1,a), (2,b), (3,a)}
D.{(1,a), (1,b), (2,c)}
Explanation: A one-one (injective) function maps distinct domain elements to distinct codomain elements. Only {(1,a),(2,b),(3,c)} assigns three different images.
8If n(A) = 10, n(B) = 7 and n(A ∩ B) = 3, then n(A ∪ B) equals:
A.14
B.17
C.20
D.10
Explanation: n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 10 + 7 − 3 = 14.
9The solution set of 2x − 5 > 3 is:
A.x > 4
B.x > 1
C.x < 4
D.x > 8
Explanation: 2x − 5 > 3 ⇒ 2x > 8 ⇒ x > 4.
10If |x − 3| = 5, then x equals:
A.8 only
B.−2 only
C.8 or −2
D.3 or 5
Explanation: |x − 3| = 5 means x − 3 = 5 or x − 3 = −5, so x = 8 or x = −2.

About the Tamil Nadu HSE First Year Mathematics Practice Questions

Verified exam format metadata for Tamil Nadu Higher Secondary First Year (HSE +1 / Class 11) 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.