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100+ Free Maharashtra SSC Mathematics (MSBSHSE) Practice Questions

Maharashtra Secondary School Certificate (SSC / Class 10) Mathematics (subject code 71 — Maths / Algebra + Geometry) — Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE) practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Maharashtra SSC Mathematics (MSBSHSE) Exam

Code 71

MSBSHSE SSC general subject code for Mathematics (Maths / Algebra + Geometry)

mahahsscboard.org SSC general subject codes list

80 + 20

Common theory + internal split for Mathematics (subject total 100)

MSBSHSE / Maharashtra SSC subject pattern summaries

2 papers

Part I Algebra + Part II Geometry (Balbharati Mathematics 1 & 2 Std X)

MSBSHSE SSC Mathematics paper structure summaries

35%

Commonly reported minimum pass mark overall per subject (with separate theory floor often cited)

MSBSHSE SSC pass-criteria summaries (confirm current circular)

Balbharati

Balbharati Mathematics 1 (Algebra) and Mathematics 2 (Geometry) are the core Std X textbooks

Maharashtra State Bureau of Textbook Production and Curriculum Research (Balbharati)

MCQ study aid

Local bank is a 100-item English MCQ adaptation — not a full official paper or written-work substitute

OpenExamPrep practice disclosure

Maharashtra SSC Mathematics (MSBSHSE, code 71) totals 100 marks via ~80 theory (Part I Algebra + Part II Geometry) + ~20 internal. Pass is commonly 35% overall with a separate theory floor as notified. Fees are as notified by MSBSHSE through schools. Official assessment is mixed written — not pure MCQ. This free 2026 bank is an English MCQ study adaptation for Algebra and Geometry skills — not an official paper simulation and not a substitute for multi-step written work.

Sample Maharashtra SSC Mathematics (MSBSHSE) Practice Questions

Try these sample questions to test your Maharashtra SSC Mathematics (MSBSHSE) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve for x: 3x − 7 = 11.
A.4
B.5
C.6
D.18
Explanation: Add 7 to both sides: 3x = 18. Divide by 3: x = 6. Inverse operations isolate the variable step by step.
2If 2x + 5y = 20 and x = 5, what is the value of y?
A.1
B.2
C.3
D.5
Explanation: Substitute x = 5: 2(5) + 5y = 20 → 10 + 5y = 20 → 5y = 10 → y = 2.
3The sum of two numbers is 48 and their difference is 12. What is the larger number?
A.18
B.24
C.30
D.36
Explanation: Let larger = x, smaller = y. x + y = 48, x − y = 12. Adding: 2x = 60 → x = 30. Then y = 18. Check: 30 + 18 = 48 and 30 − 18 = 12.
4Solve the system: x + y = 10 and x − y = 4. What is x?
A.3
B.5
C.7
D.14
Explanation: Add the equations: 2x = 14 → x = 7. Then y = 10 − 7 = 3. Check: 7 − 3 = 4.
5Which ordered pair satisfies both 2x + y = 7 and x − y = 2?
A.(2, 3)
B.(3, 1)
C.(4, −1)
D.(1, 5)
Explanation: From x − y = 2, x = y + 2. Substitute into 2x + y = 7: 2(y + 2) + y = 7 → 2y + 4 + y = 7 → 3y = 3 → y = 1, so x = 3. Pair (3, 1).
6If 5x − 2y = 4 and 3x + 2y = 12, what is the value of x?
A.1
B.2
C.3
D.4
Explanation: Add the equations: 8x = 16 → x = 2. Then from 3(2) + 2y = 12 → 6 + 2y = 12 → y = 3.
7The ages of A and B are in the ratio 3 : 5. If the sum of their ages is 40 years, what is B's age?
A.15 years
B.20 years
C.25 years
D.30 years
Explanation: Parts = 3 + 5 = 8. One part = 40/8 = 5 years. B's age = 5 × 5 = 25 years. A's age = 15 years.
8If 1/x + 1/y = 5/6 and 1/x − 1/y = 1/6, what is the value of x?
A.1/3
B.1/2
C.2
D.3
Explanation: Add the equations: 2/x = 5/6 + 1/6 = 1, so x = 2. Subtract: 2/y = 4/6 = 2/3, so y = 3. Check: 1/2 + 1/3 = 5/6.
9What are the roots of x² − 5x + 6 = 0?
A.2 and 3
B.1 and 6
C.−2 and −3
D.2 and −3
Explanation: Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0. So x = 2 or x = 3. Product of roots 6 and sum 5 confirm.
10For the quadratic equation x² − 4x + 4 = 0, the roots are:
A.equal and real
B.unequal and real
C.complex
D.one real and one complex
Explanation: Discriminant D = b² − 4ac = 16 − 16 = 0. When D = 0, roots are real and equal (repeated root x = 2).

About the Maharashtra SSC Mathematics (MSBSHSE) Practice Questions

Verified exam format metadata for Maharashtra Secondary School Certificate (SSC / Class 10) Mathematics (subject code 71 — Maths / Algebra + Geometry) — Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.