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Free Practice Questions for Maharashtra SSC Mathematics (MSBSHSE)

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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 review concepts for the Maharashtra SSC Mathematics (MSBSHSE) exam. 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) Exam

Maharashtra SSC Mathematics is the Class 10 Secondary School Certificate Mathematics paper listed as subject code 71 on the MSBSHSE SSC general subject codes page (mahahsscboard.org/sscsub.htm), under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE), Pune. It covers Maths / Algebra + Geometry as set out in Balbharati Mathematics 1 and Mathematics 2 (Standard X) and board schemes. The official assessment is commonly a subject total of 100 marks via written theory (about 80 marks across Part I Algebra and Part II Geometry) and internal assessment (about 20 marks) — mixed written problem-solving, not pure MCQ. Fees are as notified by MSBSHSE through schools (mahahsscboard.in). Pass marks are commonly described as 35% overall with a separate theory floor (often about 28/80 where that split applies). The 100 questions on this page are a free English-language multiple-choice study adaptation with explanations for Algebra and Geometry concepts; they are not a full simulation of the official mixed theory papers or internal components, and do not replace official written practice.

Exam sponsor: Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official Maharashtra SSC Mathematics (subject code 71) assesses Algebra (linear and quadratic equations, arithmetic progressions, financial planning, probability, statistics) and Geometry (similarity, Pythagoras, circles, constructions, coordinate geometry, trigonometry, mensuration) through two written theory papers commonly totalling about 80 marks plus about 20 marks internal assessment for a subject total of 100 marks. Papers follow Balbharati Mathematics 1 (Algebra / Part I) and Mathematics 2 (Geometry / Part II) for Standard X. This free bank is an English MCQ study adaptation covering those topic areas — not a full simulation of descriptive multi-step board papers or internal practical work.

Time Limit

Two theory sittings (Part I Algebra + Part II Geometry; confirm year's timetable)

Passing Score

35%

Exam / Certification Fees

As notified by MSBSHSE through secondary schools (no single fixed public subject fee for all categories).

Exam sponsor website

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

~16% of this local bank

Linear & Quadratic Equations

Linear equations in two variables, simultaneous equations, quadratic equations (factorisation, formula, nature of roots), and word problems.

~12% of this local bank

Arithmetic Progressions & Financial Planning

nth term and sum of an AP; GST, savings, and investment concepts at SSC financial-planning depth.

~12% of this local bank

Probability & Statistics

Classical probability, mean, median, mode, and interpretation of simple data and graphs.

~18% of this local bank

Similarity, Pythagoras & Circles

Similar triangles, Pythagoras theorem applications, and circle theorems (chords, tangents, angles in a semicircle).

~12% of this local bank

Coordinate Geometry & Constructions Concepts

Distance and section formulas, midpoint, slope concepts, and recognition of standard geometric constructions.

~30% of this local bank

Trigonometry & Mensuration

Trigonometric ratios and identities, heights and distances, and surface areas/volumes of cuboids, cylinders, cones, spheres, and combinations.

Preparing for the Maharashtra SSC Mathematics (MSBSHSE) Exam

What You Need to Know

  • Passing score: 35%
  • Assessment: Official Maharashtra SSC Mathematics (subject code 71) assesses Algebra (linear and quadratic equations, arithmetic progressions, financial planning, probability, statistics) and Geometry (similarity, Pythagoras, circles, constructions, coordinate geometry, trigonometry, mensuration) through two written theory papers commonly totalling about 80 marks plus about 20 marks internal assessment for a subject total of 100 marks. Papers follow Balbharati Mathematics 1 (Algebra / Part I) and Mathematics 2 (Geometry / Part II) for Standard X. This free bank is an English MCQ study adaptation covering those topic areas — not a full simulation of descriptive multi-step board papers or internal practical work.
  • Time limit: Two theory sittings (Part I Algebra + Part II Geometry; confirm year's timetable)
  • Exam / certification fees: As notified by MSBSHSE through secondary schools (no single fixed public subject fee for all categories). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Maharashtra SSC Mathematics (MSBSHSE): Suggested Study Strategy

1Drill linear equations in two variables and simultaneous equations daily — high-frequency Algebra marks.
2For quadratics, practise factorisation first, then the formula, and always check the nature of roots with the discriminant.
3Memorise AP formulas aₙ = a + (n−1)d and Sₙ = n/2 [2a + (n−1)d] and apply them to word problems.
4In financial planning, separate taxable value from GST and check whether rates are CGST+SGST or IGST as the question states.
5For probability, list equally likely outcomes carefully; for statistics, sort data before finding median and mode.
6In Geometry, mark given lengths and equal angles on diagrams; similar-triangle ratios and Pythagoras applications fail most often from mis-matching corresponding sides.
7Drill trig table values (0°, 30°, 45°, 60°, 90°) and standard identities (sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ) until automatic.
8After MCQ concept checks, solve official-style SSC Algebra and Geometry activity sheets under timed conditions with full written steps.

Frequently Asked Questions

Is the official Maharashtra SSC Mathematics exam only multiple choice?

No. Official Mathematics (subject code 71) is mixed written theory across Part I Algebra and Part II Geometry (commonly about 80 marks total theory) plus internal assessment (commonly about 20 marks) for a subject total of 100 marks. Papers include multi-step problem-solving, not pure MCQ. This bank is a free English MCQ study adaptation for concept fluency — not a full written-paper substitute or official paper simulation.

What is subject code 71, and how is Mathematics structured?

On the MSBSHSE SSC general subject codes list (mahahsscboard.org/sscsub.htm), code 71 is Mathematics (Maths / Algebra + Geometry) for Class 10 (SSC). It is examined as two theory papers — Part I Algebra (Balbharati Mathematics 1) and Part II Geometry (Balbharati Mathematics 2) — plus internal assessment as notified.

How many marks and how long are the Mathematics theory papers?

Subject total is commonly 100 marks via about 80 theory + 20 internal. Theory is split across Part I Algebra and Part II Geometry; each sitting’s duration follows the year's MSBSHSE SSC timetable (commonly about 2–2.5 hours per paper). Confirm the current scheme and timetable on mahahsscboard.in and school notices.

What is the passing score for Maharashtra SSC Mathematics?

Pass criteria are commonly reported as 35% overall in each subject, with a separate theory floor often cited (about 28/80 for 80-mark theory papers where that split applies, and about 7/20 for internal). Always verify the current MSBSHSE result circular for your sitting.

What does SSC Mathematics cost to take?

Mathematics is examined as part of the Maharashtra SSC public examination. Fees are as notified by MSBSHSE through secondary schools. There is no single fixed public INR amount for every candidate category on the board site — check school circulars for the current schedule.

Which topics should I prioritise for SSC Mathematics?

Prioritise linear and quadratic equations, arithmetic progressions, financial planning (GST/savings), probability, statistics (mean/median/mode), similarity, Pythagoras, circles, coordinate geometry, trigonometric ratios and identities, heights and distances, and mensuration (surface areas and volumes). Practise multi-step written problems from Balbharati and model activity sheets — MCQs alone do not replace official written papers.

Why is this bank multiple choice if the board papers have long written problems?

Selected-response items check concept fluency quickly for formulas, methods, and numerical accuracy. Official MSBSHSE SSC Mathematics still requires multi-step written solutions on Part I and Part II. Always practise model activity sheets and write full solutions under timed conditions.

Where can I find official Maharashtra SSC Mathematics materials?

Use MSBSHSE (mahahsscboard.in), the SSC general subject codes page (mahahsscboard.org/sscsub.htm — Mathematics code 71), and Balbharati / eBalbharati (books.ebalbharati.in) for Mathematics 1 and Mathematics 2 Standard X textbooks, syllabi, and school-distributed schemes.