Maharashtra Board SSC Class 10 Maths Chapter Wise Notes 2027 - Maths I & II

In short: Maharashtra SSC Class 10 Maths 2027 has TWO papers — Maths I (Algebra, 40 marks) and Maths II (Geometry, 40 marks). Maths I covers Linear Equations in Two Variables (graphical and algebraic methods), Quadratic Equations (factorisation, formula, nature of roots), Arithmetic Progression and Geometric Progression (nth term, sum formulas), Financial Planning (GST, shares, taxation), Probability (classical, addition theorem), and Statistics (mean, median, mode, ogive). Maths II covers Similarity (AA, SSS, SAS criteria, BPT), Circle (tangent properties, secant-tangent relations), Coordinate Geometry (distance, section, slope formulas), Trigonometry (ratios, identities, heights and distances), Mensuration (surface area, volume of combined solids, frustum), and Geometric Constructions (tangents, similar triangles).

Two Papers, One Strategy

Maharashtra Board SSC Maths is unique because it splits Mathematics into two separate papers — Maths I (Algebra) and Maths II (Geometry) — each carrying 40 marks for written plus 10 marks for oral, totaling 100 marks. This split means you prepare for two exams with distinct question styles: Maths I focuses on equations, calculations, and data analysis, while Maths II focuses on proofs, constructions, and spatial reasoning.

The MH Board textbook (not NCERT) is your primary resource. Questions come directly from the textbook exercises. For the detailed marks breakdown, see the Maharashtra Board Class 10 Maths marks weightage guide.

Complete Chapter List

Maths I: Algebra — 40 Marks

Maths II: Geometry — 40 Marks

Maths I (Algebra): Chapter-Wise Notes

Chapter 1: Linear Equations in Two Variables

• Core concepts: Solving simultaneous equations by graphical method, substitution, elimination, and Cramer's rule (determinant method). Conditions for consistent, inconsistent, and dependent systems. Word problems involving age, speed-distance-time, fractions, and work.
• Key formulas: Cramer's rule: x = Dₓ/D, y = Dy/D where D = a₁b₂ - a₂b₁. Consistent if D ≠ 0, dependent if D = Dₓ = Dy = 0, inconsistent if D = 0 but Dₓ or Dy ≠ 0.
• MH-specific: Maharashtra Board emphasises Cramer's rule, which is not in NCERT. Master the determinant method alongside substitution and elimination.
• Exam tip: Word problems carry 4-5 marks and appear every year. Practice at least 20 word problems. Cramer's rule is a fast method for solving — use it when the question does not specify a particular method. See study smart strategies for efficient practice methods.

Chapter 2: Quadratic Equations

• Core concepts: Standard form ax² + bx + c = 0. Solution by factorisation (splitting the middle term) and quadratic formula: x = (-b ± √(b²-4ac))/2a. Discriminant D = b²-4ac: D > 0 (two real distinct roots), D = 0 (two equal roots), D < 0 (no real roots). Nature of roots problems. Formation of quadratic equation when roots are given: x² - (α+β)x + αβ = 0.
• Key formulas: Sum of roots α + β = -b/a, Product of roots αβ = c/a.
• Exam tip: This is the highest-weightage Algebra chapter. Expect at least one word problem (4-5 marks) and one "nature of roots" question (2-3 marks). When asked to solve by formula, always write the discriminant calculation separately.

Chapter 3: Arithmetic Progression and Geometric Progression

• Core concepts: AP — common difference, nth term (aₙ = a + (n-1)d), sum of n terms (Sₙ = n/2[2a + (n-1)d]). GP — common ratio, nth term (aₙ = ar^(n-1)), sum of n terms (Sₙ = a(rⁿ-1)/(r-1) for r > 1). Geometric mean. Word problems.
• MH-specific: Maharashtra Board includes GP in this chapter, unlike NCERT which only covers AP at Class 10 level.
• Key formulas: AP: aₙ = a + (n-1)d, Sₙ = n/2(a + l). GP: aₙ = arⁿ⁻¹, Sₙ = a(rⁿ-1)/(r-1).
• Exam tip: GP formulas are additional to learn. Practice at least 10 GP problems alongside AP problems. The "find the three terms of AP/GP given their sum and product" problem type is common.

Chapter 4: Financial Planning

• Core concepts: GST — CGST, SGST, IGST calculations. Shares and dividends — face value, market value, rate of return. Income tax calculation. Compound interest — formula and problems.
• MH-specific: This is a completely unique chapter not found in NCERT. It covers practical financial mathematics relevant to daily life.
• Key formulas: GST: Tax amount = Rate% × Taxable value. Dividend = Number of shares × Face value × Rate of dividend. Return = (Total dividend / Total investment) × 100.
• Exam tip: GST and shares problems are formula-based and scoring. Practice 15-20 problems of each type. Always read whether the question asks for CGST or total GST — this is a common mistake.

Chapter 5: Probability

• Core concepts: Classical probability: P(E) = favourable outcomes / total outcomes. Addition theorem for mutually exclusive events: P(A∪B) = P(A) + P(B). For non-mutually exclusive: P(A∪B) = P(A) + P(B) - P(A∩B). Complementary events: P(A') = 1 - P(A). Problems on coins, dice, and playing cards.
• MH-specific: The addition theorem is emphasised more in Maharashtra Board than in NCERT at this level.
• Exam tip: Playing card problems are frequently tested. Know the deck composition (52 cards, 4 suits, 13 cards each, 12 face cards). For dice, always list all possible outcomes systematically.

Chapter 6: Statistics

• Core concepts: Mean of grouped data — direct, assumed mean, and step deviation methods. Median using formula: Median = l + [(n/2 - cf)/f] × h. Mode formula: Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] × h. Ogive (cumulative frequency curve) — less than and more than types. Finding median from ogive.
• Exam tip: The step deviation method is fastest for mean. Median formula questions carry 3-4 marks. Ogive graph questions carry 3-4 marks — draw neatly on graph paper with proper scaling. Check the time management strategy to allocate time for graph-drawing questions.

Maths II (Geometry): Chapter-Wise Notes

Chapter 1: Similarity

• Core concepts: Similar triangles — AA, SSS, SAS similarity criteria. Basic Proportionality Theorem (Thales theorem) and its converse. Property of areas of similar triangles (ratio of areas = square of ratio of corresponding sides). Pythagoras theorem and its converse.
• Key theorems: BPT proof (4-5 marks), Pythagoras theorem proof (4-5 marks).
• Exam tip: Theorem proofs are guaranteed in this paper. Practice writing BPT and Pythagoras proofs with clear steps and diagrams. Application problems using similarity ratios to find unknown sides are common 3-mark questions.

Chapter 2: Circle

• Core concepts: Tangent to a circle — perpendicular to radius at point of contact. Length of tangent from external point. Secant-tangent theorem. Inscribed angle theorem. Cyclic quadrilateral — opposite angles are supplementary. Properties of tangent and secant segments.
• MH-specific: Maharashtra Board covers secant-tangent relations and cyclic quadrilateral properties more extensively than NCERT.
• Key theorems: Tangent-radius theorem, equal tangent lengths theorem, secant-tangent theorem.
• Exam tip: Theorem proofs carry 4-5 marks. Application problems combining circle properties with other geometry concepts are common. Practice drawing accurate circle diagrams with tangent lines.

Chapter 3: Coordinate Geometry

• Core concepts: Distance formula: d = √[(x₂-x₁)² + (y₂-y₁)²]. Section formula. Midpoint formula. Slope of a line: m = (y₂-y₁)/(x₂-x₁). Equation of a line in slope-intercept form (y = mx + c), point-slope form, and two-point form. Slopes of parallel and perpendicular lines.
• MH-specific: Slope and equation of a line are covered here, which NCERT does not include at Class 10 level.
• Key formulas: Slope: m = (y₂-y₁)/(x₂-x₁). Parallel lines: m₁ = m₂. Perpendicular lines: m₁ × m₂ = -1.
• Exam tip: Formula-based chapter — memorize all formulas and practice 25-30 problems. Slope and equation of line problems are additional compared to NCERT. These carry 3-4 marks each.

Chapter 4: Trigonometry

• Core concepts: Trigonometric ratios for standard angles. Trigonometric identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = cosec²θ. Heights and distances — angle of elevation, angle of depression, two-observation-point problems.
• Key table: Standard values for sin, cos, tan at 0°, 30°, 45°, 60°, 90° must be memorized.
• Exam tip: Identity proofs carry 3-4 marks. Heights and distances word problems carry 4-5 marks. Always draw a figure for heights and distances problems before writing the solution. Practice at least 20 identity proofs and 15 heights-and-distances problems.

Chapter 5: Mensuration

• Core concepts: Surface area and volume of cylinder, cone, sphere, hemisphere. Combined solids — finding total surface area and volume of combined shapes. Conversion of solids — when one solid is melted and recast. Frustum of a cone — volume, CSA, total surface area.
• Key formulas: Volume of frustum = πh/3(r₁² + r₂² + r₁r₂). For combined solids, add volumes but carefully calculate surface areas (subtract contact areas).
• Exam tip: Combined solid problems carry 3-4 marks. Break the complex shape into known components. Conversion problems ("how many spheres can be made from a cylinder?") use volume conservation.

Chapter 6: Geometric Constructions

• Core concepts: Division of line segment in a given ratio. Construction of triangle similar to a given triangle (larger and smaller). Construction of tangent to a circle from an external point. Construction of tangent when centre is known/unknown.
• Exam tip: Use a sharp pencil and compass. Write all construction steps. Do not erase construction arcs. Mark all points clearly. Construction questions carry 3-4 marks and are scoring if you practice regularly. Use the maths study approach to overcome any fear of geometry.

How to Use These Notes

1. Study from the MH Board textbook first: Maharashtra Board questions come from the state textbook, not NCERT. Complete all textbook exercises and examples.

2. Separate your study sessions: Dedicate different days to Maths I and Maths II. They require different skill sets — Maths I is calculation-heavy while Maths II is proof-and-diagram-heavy.

3. Build two formula sheets: Create one formula sheet for Algebra and one for Geometry. Revise both daily during the exam period.

4. Practice theorem proofs: Maths II has guaranteed theorem proof questions worth 4-5 marks each. Write out proofs repeatedly until you can reproduce them without reference.

5. Master MH-specific topics: Financial Planning (GST, shares), GP, Cramer's rule, slope of a line, and secant-tangent theorems are Maharashtra-specific. Give extra attention to these.

6. Solve model papers: Practice from Maharashtra SSC model papers to understand the question distribution. Aim to solve at least 5 full papers before the exam.

7. Use the answer writing guide for presentation tips specific to Maths papers.

Priority Chapters by Weightage

Frequently Asked Questions

Why does Maharashtra Board have two Maths papers?

Maharashtra Board splits Maths into Maths I (Algebra, 40 marks) and Maths II (Geometry, 40 marks) plus 10 marks oral for each. This allows deeper coverage of both algebra and geometry topics. It also means two separate exam dates, giving students more preparation time between papers.

Is Maharashtra SSC Maths harder than CBSE Maths?

The difficulty level is comparable, but the content differs. Maharashtra Board includes GP, Financial Planning (GST, shares), Cramer's rule, and slope of a line — topics not in NCERT at Class 10 level. However, each paper is only 40 marks, making individual papers shorter. The challenge is preparing for two separate exams.

Which chapters should I start with for Maths I?

Start with Quadratic Equations (Chapter 2) — it carries the highest marks and overlaps with Linear Equations concepts. Then move to Linear Equations (Chapter 1), Statistics (Chapter 6), and AP/GP (Chapter 3). Leave Financial Planning and Probability for later as they are relatively independent.

How do I prepare for theorem proofs in Maths II?

Practice writing each theorem proof at least 5 times. The key proofs are: BPT (Thales theorem), Pythagoras theorem, tangent-radius perpendicularity, equal tangent lengths, and the inscribed angle theorem. Write the given, to prove, construction, and proof steps in order. Include a neat diagram with every proof.

Are Financial Planning questions difficult?

Financial Planning questions are formula-based and straightforward once you understand the concepts. GST problems require careful reading to identify CGST vs SGST vs IGST. Shares and dividend problems follow a consistent pattern. Practice 15-20 problems of each type and these become easy scoring questions.

What is the passing marks for each Maths paper?

You need to pass each paper separately. The passing marks are typically 35% of the total marks (written + oral). Since each paper is 40 marks written + 10 marks oral = 50 marks total, the passing mark is approximately 18 out of 50 per paper. Check the official Maharashtra Board website for the exact criteria for 2027.

Related Guides

• Maharashtra Board Class 10 Maths Chapter-Wise Marks Weightage 2027
• Maharashtra SSC Class 10 Model Paper 2027 — New Pattern
• Maharashtra SSC Maths Paper 1 and 2 Scoring Strategy 2027
• Maharashtra SSC Important Questions 2027
• How to Study Maths When You Hate Maths
• Board Exam Time Management — 3 Hour Strategy

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