SSC Class 10 Maths Part 1 (Algebra) Solutions & Board Papers | Maharashtra Board

Master your Maharashtra State Board (MSBSHSE) SSC Class 10 Mathematics Part 1 (Algebra) exams with our ultimate chapter-wise study guide! strictly designed as per the SSC New Syllabus, this resource helps 10th Standard students build conceptual clarity and score full marks.

What you will find in this directory:

• Step-by-step Textbook Exercise Solutions for all Practice and Problem Sets.
• Chapter-wise marks distribution and essential formulas.
• Challenging HOTS Questions with solutions.
• Previous years' solved SSC Board Question Papers and Practice Papers.

SSC Class 10 Maths Part 1 (Algebra): Chapter-Wise Weightage & Key Formulas

Before diving into the chapter solutions, review the official Maharashtra Board marks distribution (with options) and key formulas for quick revision:

Chapter No.	Chapter Name	Marks (With Options)	Key Textbook Formula / Concept
Chapter 1	Linear Equations in Two Variables	12 Marks	Cramer's Rule: \(x = \frac{D_x}{D}, \quad y = \frac{D_y}{D} \quad (D \neq 0)\)
Chapter 2	Quadratic Equations	12 Marks	Quadratic Formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Chapter 3	Arithmetic Progression	08 Marks	\(n^{\text{th}}\) Term: \(t_n = a + (n - 1)d\) Sum of \(n\) Terms: \(S_n = \frac{n}{2}[2a + (n - 1)d]\)
Chapter 4	Financial Planning	08 Marks	\(\text{CGST} = \text{SGST} = \frac{1}{2} \times \text{GST}\) \(\text{Payable GST} = \text{Output Tax} - \text{ITC}\)
Chapter 5	Probability	08 Marks	Probability of Event \(A\): \(P(A) = \frac{n(A)}{n(S)}\)
Chapter 6	Statistics	12 Marks	Direct Mean: \(\bar{x} = \frac{\sum f_i x_i}{\sum f_i}\) Median: \(L + \left[\frac{\frac{N}{2} - cf}{f}\right] \times h\)

Exam Tip for Full Marks: In the SSC Maths Part 1 Board Exam, always write the general formula first, clearly show the substitution of given values, and box your final answer with proper units (especially in Word Problems, Financial Planning, and Statistics). Step-wise marking is awarded even if the final calculation has a minor error.

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Maths I (Algebra) SSC New Syllabus: Chapter-Wise Solutions

Chapter 1: Linear Equations in Two Variables

Learn graphical methods, Cramer's determinant rule, equations reducible to linear form, and word problems based on simultaneous equations.

• Practice Set 1.1 (Simultaneous Linear Equations)
• Practice Set 1.2 (Graphical Method)
• Practice Set 1.3 (Determinants and Cramer's Rule)
• Practice Set 1.4 (Equations Reducible to Linear Equations)
• Practice Set 1.5 (Word Problems on Linear Equations)
• Problem Set No. 1 (Complete Chapter Revision)

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Chapter 2: Quadratic Equations

Practice standard form \(ax^2 + bx + c = 0\), factorisation method, completing the square method, quadratic formula, nature of roots using discriminant \(\Delta = b^2 - 4ac\), and relation between roots and coefficients.

• Practice Set 2.1 (Standard Form and Roots of Quadratic Equations)
• Practice Set 2.2 (Solution by Factorisation Method)
• Practice Set 2.3 (Solution by Completing the Square Method)
• Practice Set 2.4 (Solution by Formula Method)
• Practice Set 2.5 (Discriminant, Nature of Roots, and Relationship with Coefficients)
• Practice Set 2.6 (Applications and Word Problems on Quadratic Equations)
• Problem Set No. 2 (Complete Chapter Revision)

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Chapter 3: Arithmetic Progression

Understand sequences, common difference \(d\), finding the \(n^{\text{th}}\) term \(t_n\), and calculating the sum of the first \(n\) terms \(S_n\) of an Arithmetic Progression (A.P.).

• Practice Set 3.1 (Identifying A.P., First Term, and Common Difference)
• Practice Set 3.2 (General Term \(t_n\) of an A.P.)
• Practice Set 3.3 (Sum of First \(n\) Terms \(S_n\) of an A.P.)
• Practice Set 3.4 (Word Problems on Arithmetic Progression)
• Problem Set No. 3 (Complete Chapter Revision)

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Chapter 4: Financial Planning

Master calculations involving Goods and Services Tax (GST), Input Tax Credit (ITC), shares, Face Value (FV), Market Value (MV), dividend, rate of return, brokerage, and mutual funds.

• Practice Set 4.1 (GST, CGST, and SGST Calculations)
• Practice Set 4.2 (GST in Trading Chain and Input Tax Credit)
• Practice Set 4.3 (Shares, Dividend, and Rate of Return)
• Practice Set 4.4 (Brokerage, GST on Brokerage, and Mutual Funds)
• Problem Set 4A (GST and Tax Invoice Revision)
• Problem Set 4B (Shares and Mutual Funds Revision)

Memory Trick for Shares:

• If \(\text{MV} > \text{FV}\), the share is at a Premium.
• If \(\text{MV} = \text{FV}\), the share is at Par.
• If \(\text{MV} < \text{FV}\), the share is at a Discount.
• Dividend is always calculated on the Face Value (FV), never on the Market Value!

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Chapter 5: Probability

Learn random experiments, outcomes, sample space \(S\), sample points \(n(S)\), events, and computing the probability of an event.

• Practice Set 5.1 (Possibilities and Random Experiments)
• Practice Set 5.2 (Sample Space \(S\) and Number of Sample Points \(n(S)\))
• Practice Set 5.3 (Events and Number of Event Points)
• Practice Set 5.4 (Probability of an Event \(P(A)\))
• Problem Set No. 5 (Complete Chapter Revision)

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Chapter 6: Statistics

Master measures of central tendency (Mean by Direct, Assumed Mean, and Step-Deviation methods; Median; and Mode for grouped data) along with graphical representation using Histograms, Frequency Polygons, and Pie Diagrams.

• Practice Set 6.1 (Mean by Direct, Assumed Mean, and Step-Deviation Methods)
• Practice Set 6.2 (Median for Grouped Frequency Distribution)
• Practice Set 6.3 (Mode for Grouped Frequency Distribution)
• Practice Set 6.4 (Drawing Histograms)
• Practice Set 6.5 (Drawing Frequency Polygons)
• Practice Set 6.6 (Reading and Drawing Pie Diagrams)
• Problem Set No. 6 (Miscellaneous Problems 6)

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Maths I (HOTS): Higher Order Thinking Skills

Target 40/40 in your SSC Algebra Board Paper by practicing challenging 3-mark and 4-mark application questions typically asked in Question 4 and Question 5.

• View Maths I (Algebra) HOTS Questions with Solutions

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SSC Board Papers with Complete Solutions

Understand the official paper structure and practice previous years' solved Maharashtra State Board Question Papers across English, Marathi, and Hindi mediums:

Mathematics Part I Paper Pattern and Board Exam Guidelines

• March 2014 Board Paper with Solution
• March 2014 [Marathi Medium]
• October 2014 Board Paper with Solution
• March 2015 Board Paper
• July 2015 Board Paper
• March 2016 Board Paper with Solution
• July 2016 Board Paper
• March 2017 Board Paper
• March 2017 [Hindi Medium]
• March 2017 [Marathi Medium]
• July 2017 Board Paper
• SSC Maths I March 2019 Board Paper Solution (11th March, 2019)

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General Maths Algebra Board Papers

• March 2014 General Maths Paper
• October 2014 General Maths Paper
• March 2015 General Maths Paper
• July 2015 General Maths Paper
• March 2016 General Maths Paper
• July 2016 General Maths Paper

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Maths I Practice Papers for School Preliminary Exam

Test your time management and exam readiness with these full-length Preliminary Practice Question Papers based on the latest board pattern:

• Preliminary Practice Paper No. 1
• Preliminary Practice Paper No. 2
• Preliminary Practice Paper No. 3

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Algebra SSC Old Syllabus Archive (Additional Practice)

Use these archive topic collections and formula sheets for extra problem-solving practice:

• Arithmetic Progression Archive
• Quadratic Equations Archive
• Linear Equations in Two Variables Archive
• Probability Archive
• Statistics Part One
• Statistics Part Two
• Extra HOTS Sums for Practice
• Algebra Formula Sheet for Board Exam Reference
• Essential Algebraic Formulae