MSBSHSE Solutions for Class 6 Mathematics

MSBSHSE Solutions for Class 6 Mathematics: What This Page Covers

The MSBSHSE Solutions for Class 6 Mathematics on this page give you exercise-wise, step-by-step answers for every chapter of the state board Class 6 Maths textbook. Each solution follows the same method your teacher expects in exams: the given information, the working shown line by line, and the final answer with correct units. You can jump straight to the practice set you are stuck on, instead of scrolling through an entire chapter.

How to Use These Class 6 Maths Solutions the Right Way

Solutions help you learn only when you use them after attempting the questions yourself. Follow this three-step method for every practice set:

1. Attempt the exercise first. Solve all the questions in your notebook without looking at any answer, even if you get stuck. Write down where you got stuck.
2. Check the solution. Compare your steps with the solution on this page. Notice whether your method was wrong, or only a small calculation slipped.
3. Redo the wrong questions after 2 days. Mark the questions you got wrong, hide the solution, and solve them again two days later. If you get them right the second time, the concept has stuck.

Avoid the temptation to copy answers without solving. It feels faster, but in the exam you must show full working to earn method marks. A student who only reads solutions often knows the final answer yet loses marks because the steps are missing or in the wrong order. Copying also hides your weak chapters until it is too late to fix them.

These Class 6 Maths solutions are written so that both English medium and Marathi medium students can follow them easily, with technical terms kept the same as in the textbook [verify medium availability]. Once you finish the Class 6 syllabus, you can continue to the Class 7 Mathematics solutions, since topics like integers, algebra and geometry build directly on what you learn this year.

Class 6 Mathematics Syllabus Overview for the Maharashtra Board

The Class 6 Mathematics syllabus of the state board introduces every major branch of school maths: numbers, operations, fractions, geometry, measurement, data handling and the first taste of algebra. The MSBSHSE Solutions for Class 6 Mathematics on this page follow the same chapter order as the textbook, so you can match each solution to the chapter you are studying in class. The chapter list below is based on the current textbook; always cross-check it against the latest edition you received in school, since chapters are occasionally reordered or renamed [verify].

Chapter Names in the Current Class 6 Maths Textbook

Here is the full chapter list, grouped by mathematical strand so you can see how the syllabus is built [verify against latest edition]:

Each chapter group builds a specific skill. The number system and operations chapters train accurate calculation, which every later topic depends on. Fractions and decimals prepare you for ratio, percentage and, later, rational numbers. Geometry chapters develop drawing and reasoning skills, while algebra gives you your first tool for solving unknown quantities.

These Class 6 Mathematics chapters are the direct base for Class 7 and Class 8. Integers and operations on integers lead to rational numbers in Class 7 and exponents in Class 8. Fractions, ratio and percentage grow into profit-loss, interest and proportion problems. Perimeter and area expand into surface area and volume of more shapes. Simple algebraic expressions become full equations and identities in higher classes. If any chapter feels weak now, use the chapter-wise solution pages to fix it before moving ahead, because each later topic assumes you have mastered the earlier one.

Chapter-wise MSBSHSE Class 6 Maths Solutions and Links

The MSBSHSE Class 6 Maths solutions listed below are arranged chapter by chapter, in the same order as your textbook. Each chapter page contains every practice set and "Problem Set" from that chapter, solved step by step, so you can compare your working with the correct method and not just the final answer. All links open exercise-wise, which means you can jump straight to the exact practice set you are stuck on instead of scrolling through the whole chapter.

Number System and Operations Chapters

These pages cover Knowing Our Numbers, Integers, Operations on Integers, and HCF and LCM. The solutions show every step of place-value comparisons, number-line work, sign rules for integer operations, and the prime factorisation method for HCF and LCM. If you lose marks on questions like "find the LCM of 12 and 18", these pages show the full working, not just the answer.

Fractions, Decimals and Ratio Chapters

Here you will find solutions for Fractions, Decimal Fractions, Ratio-Proportion and Percentage. Every practice set on adding and subtracting fractions with different denominators, converting decimals to fractions, unitary method problems and simple percentage questions is solved completely. For example, a typical unitary method question such as "if 5 notebooks cost ₹125, what do 8 cost?" is shown with the cost of one item found first, then multiplied, exactly the format examiners expect.

Geometry and Measurement Chapters

The MSBSHSE Solutions for Class 6 Mathematics for Basic Geometrical Concepts, Angles, Triangles and Their Properties, Geometrical Constructions, Perimeter and Area, and Volume and Surface Area include described construction steps, angle reasoning and formula-based calculations with units. Construction answers list each compass and protractor step in order, so you can reproduce the figure in your exam answer sheet the same way.

Data Handling and Algebra Chapters

These solution pages cover Bar Graphs, Pictographs, Algebraic Expressions and Simple Equations [verify chapter availability in the latest edition]. You get complete answers for reading graphs, forming expressions with letters, and solving one-step equations, with each step of transposing and checking written out.

Use this table of contents as your study map. Finish a chapter in class, open its solution page the same week, and attempt each practice set before checking. Once a chapter is solid, move ahead confidently, because these same topics continue into the Class 7 Mathematics solutions, where rational numbers, equations and mensuration build directly on what you learned here.

How These Solutions Match the State Board Exam Pattern

The MSBSHSE Solutions for Class 6 Mathematics are written in the same style your school exams expect, so the working you learn here is the working you should reproduce in the answer paper. A Class 6 Maths paper generally mixes three kinds of questions: objective questions (multiple choice, fill in the blanks, true or false), short answer questions carrying 2 marks each, and long answer or problem-solving questions carrying 3 to 4 marks each [verify exact pattern for your school's paper]. School-level papers are set by teachers based on the textbook, so the exact mix can vary slightly from one school to another.

Question Types You Will Face in Class 6 Maths Exams

Objective questions test quick recall, such as identifying the HCF of two numbers or naming the type of an angle. Short answer questions need one or two lines of working, for example converting a decimal into a fraction. Long answer questions are word problems or constructions where the examiner awards marks for each correct step, not only the final answer. For instance, in a unitary method question worth 3 marks, roughly 1 mark may go to finding the value of one unit, 1 mark to the correct multiplication, and 1 mark to the answer with correct units [verify marks split]. If you skip the middle step and jump to the answer, you can lose a mark even when the answer is right.

This is exactly what the step-by-step format trains you for. Every solution on these pages shows the given data, the method, each calculation line, and the final answer with units, which is the full-working style that earns method marks.

Marks Distribution and Internal Assessment

At the Class 6 level, part of the overall assessment usually comes from internal or continuous evaluation such as class tests, assignments and oral work, while the rest comes from the written term exam [verify weightage, as it differs by school and year]. The table below shows a typical question-type pattern; treat it as indicative only.

[verify distribution against your school's question paper]. To prepare for this mix, use the MSBSHSE Solutions for Class 6 Mathematics chapter pages, then attempt extra questions from the practice set worksheet page under a time limit so you get used to writing complete working quickly.

Important Class 6 Maths Formulas and Definitions to Memorise

A good memory for formulas is what separates a slow paper from a confident one. The MSBSHSE Solutions for Class 6 Mathematics use the same formulas given below in every solved practice set, so once you memorise them, the working becomes almost automatic. Keep this list beside you while solving, and test yourself on it every weekend.

Formula Sheet for Numbers, Fractions and Decimals

• HCF (Highest Common Factor): the largest number that divides two or more numbers exactly. LCM (Lowest Common Multiple): the smallest number that both numbers divide into.
• Useful relation: HCF × LCM = product of the two numbers [verify this is in your textbook edition].
• Adding fractions with the same denominator: add the numerators, keep the denominator. Example: 2/7 + 3/7 = 5/7.
• Adding fractions with different denominators: first make the denominators equal using the LCM, then add. Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12.
• Multiplying fractions: numerator × numerator, denominator × denominator. Dividing fractions: multiply by the reciprocal, so 2/3 ÷ 4/5 = 2/3 × 5/4.
• Unitary method: value of one unit first, then multiply. If 5 notebooks cost ₹75, one notebook costs ₹15, so 8 notebooks cost ₹120.

Geometry and Mensuration Formulas for Class 6

• Perimeter of a rectangle = 2 × (length + breadth); perimeter of a square = 4 × side.
• Area of a rectangle = length × breadth; area of a square = side × side.
• Sum of angles on a straight line = 180°; angles around a point add up to 360°.
• Vertically opposite angles are equal. Complementary angles add to 90°, supplementary angles add to 180°.

• Prime number: a number with exactly two factors, 1 and itself (2, 3, 5, 7...).
• Factor: a number that divides another number exactly, with no remainder.
• Multiple: the product of a number and any whole number.
• Ratio: a comparison of two quantities by division, written as a : b.
• Mean: the average, found by dividing the sum of all values by the number of values.

Write all of these into a small personal formula notebook, one page per strand, and revise it weekly before attempting the Class 6 Maths practice sets. The same formulas carry forward, so a student who masters them now will find the Class 7 Mathematics solutions much easier to handle.

Chapter-wise Guidance: Which Class 6 Maths Chapters Need More Practice

Not every chapter in Class 6 Mathematics deserves equal study time. Some chapters are genuinely tricky, while others are almost free marks if you read the questions carefully. The MSBSHSE Solutions for Class 6 Mathematics help you treat each chapter the right way: spend extra hours where students usually slip, and simply polish the chapters that are scoring. Use this guidance to plan your week.

Chapters Students Find Difficult and Why

These chapters need more practice than the rest, and each has one specific concept where marks are usually lost:

• Fractions: most students slip at adding fractions with different denominators. They add the denominators too (1/4 + 1/6 wrongly becomes 1/10). The fix is to always make denominators equal using the LCM first. Work through the Fractions chapter solutions practice set by practice set until this step feels automatic.
• Integers and operations: the exact concept where students slip is the sign rules. Minus multiplied by minus gives plus, and subtracting a negative number means adding. One wrong sign changes the whole answer, so solve at least ten mixed questions before moving on.
• Geometrical Constructions: the slip here is inaccuracy, not understanding. Students draw angles a degree or two off because they do not press the compass firmly or read the protractor from the wrong scale. Practise each construction at least twice, and check the Geometrical Constructions solutions for the correct step order.
• Area and Perimeter: students confuse the two formulas, especially for a square, where the perimeter is 4 × side and the area is side × side. Always write the formula first, then substitute, so you never mix them under exam pressure.

For each of these chapters, the step-by-step solutions show exactly where a mistake begins, which makes it easy to correct your method rather than just the answer.

Scoring Chapters You Should Not Lose Marks In

Some Class 6 Mathematics chapters are straightforward and should fetch you full marks. Data handling (bar graphs, pictographs, mean), basic geometry (types of angles, triangles, simple properties), and the unitary method are the best examples. The questions are direct, and the answers follow a fixed pattern. Solve every practice set in these chapters once, verify with the solutions, and then aim for zero errors on your second attempt.

A smart habit is to finish the scoring chapters first during revision, bank those marks, and then give the remaining time to fractions, constructions, and area. This balance is exactly how the MSBSHSE Class 6 Maths solutions are meant to be used, and it also builds the confidence you will need for the Class 7 Mathematics solutions next year.

Solved Examples: Step-by-Step Method from the Class 6 Maths Solutions

The MSBSHSE Solutions for Class 6 Mathematics do more than give final answers; they show the exact answer format examiners expect. Every worked answer follows the same pattern: write what is given, state what is to be found, show each solution step, and end with the answer along with its unit. Learn this format once and you can apply it to every question in the textbook.

A Worked Word Problem on Fractions

Question (practice set style): Ravi had 3/4 litre of milk. He used 1/3 of it to make tea. How much milk did he use, and how much is left?

Given: Total milk = 3/4 litre; milk used = 1/3 of the total.

To find: Milk used and milk remaining.

Solution:

1. Milk used = 1/3 × 3/4 = (1 × 3) / (3 × 4) = 3/12 = 1/4 litre.
2. Milk left = 3/4 − 1/4 = (3 − 1)/4 = 2/4 = 1/2 litre.

Answer: Ravi used 1/4 litre of milk, and 1/2 litre is left.

Notice where students lose marks here. Many stop after 3/12 and forget to simplify to 1/4, which may cost a mark. Others write the answer without the unit "litre". The step-by-step solutions on our Fractions chapter page show the simplification and the unit in every answer, so you learn the habit.

A Worked Geometry Question with Reasoning

Question (practice set style): Two angles of a triangle measure 65° and 48°. Find the third angle and state the property used.

Given: Angles of a triangle are 65° and 48°.

To find: The third angle.

Solution:

1. Property: the sum of the angles of a triangle is 180°.
2. Third angle = 180° − (65° + 48°) = 180° − 113° = 67°.

Answer: The third angle measures 67°.

The mark here is not just for 67°. Writing the property in step 1 earns method marks even if your subtraction slips. This is exactly what the step-by-step solutions train you to do: state the reason, then calculate. Students who only write the final number often lose half the marks for such questions.

Try rewriting both examples yourself in this format, then attempt a fresh question from the Class 6 Maths practice set worksheet to check that the method has stuck. If your school follows the Marathi medium textbook, the same format applies; only the language of your answer changes [verify medium availability].

Common Mistakes in Class 6 Mathematics and How to Avoid Them

Most students using the MSBSHSE Solutions for Class 6 Mathematics discover that their lost marks come not from hard concepts but from small, repeated errors. In Class 6 Maths, the same handful of mistakes appears again and again in fractions, decimals, measurement and basic operations. Once you can name your mistake, you can fix it permanently.

Calculation Mistakes in Fractions and Decimals

These four errors cause the most damage in exams:

• Adding denominators: students write 1/2 + 1/3 = 1/5. The fix is to take the LCM first: 3/6 + 2/6 = 5/6. Never add denominators; only add the numerators after making denominators equal.
• Misplacing decimal points: 2.5 × 0.3 is often written as 7.5 instead of 0.75. The fix is to count total decimal places in both numbers (two here) and place the point accordingly in the answer.
• Confusing perimeter with area: for a square of side 4 cm, students compute area (16 sq cm) when perimeter (16 cm) was asked, or vice versa. The fix is to underline the word "perimeter" or "area" in the question before solving, and always attach the correct unit.
• Wrong order of operations: 8 + 4 × 2 is often calculated as 24 instead of 16. Remember: multiply and divide first, then add and subtract.

Practise each corrected type from the Fractions chapter solutions until the right method becomes automatic.

Presentation Mistakes That Cost Marks

Even a correct answer can lose marks if it is presented badly. Build these habits from the start:

• Write units with every final answer: cm, sq cm, litres, degrees. An answer without a unit is treated as incomplete.
• Label every diagram: name the vertices, mark the given sides and angles. In construction questions, leaving construction lines unlabelled can cost marks.
• Draw a rough-work margin and do all rough calculations there, not in the middle of the main solution.
• Write one step per line. Jumping straight from the question to the answer hides your working and loses method marks.

The chapter-wise answers on our site model this clean presentation for every practice set, so compare your written work against them line by line. If you spot the same mistake in two different chapters, make a short "error list" in your notebook and read it before every test. Students who carry these habits forward will find the jump to the Class 7 Mathematics solutions much smoother, because the same presentation standards continue in higher classes.

Study Plan Using MSBSHSE Solutions for Class 6 Mathematics

A fixed routine turns scattered study into steady progress. The MSBSHSE Solutions for Class 6 Mathematics work best when you follow a weekly cycle: learn one chapter, attempt its practice sets on your own, and use the solutions only to check and correct. Most chapters in the Class 6 Maths textbook can be finished comfortably in one week with four to five study days of 45 to 60 minutes each.

Weekly Study Timetable for Class 6 Maths

Follow this pattern for every chapter. On alternate days, solve one practice set from the textbook, then compare your answers with the chapter solutions the same evening.

Maintain a simple checklist in your notebook: write each chapter name and tick off every practice set you complete. Seeing ten ticks in a row is a real motivator, and the checklist instantly shows which chapter is lagging behind. For extra questions beyond the textbook, use our Class 6 Maths practice sets page.

Revision Plan Before the Exam

Use the last two weeks before the Class 6 Mathematics exam for revision, not new learning. The MSBSHSE Class 6 Maths solutions act as your self-checking tool in this phase.

During revision, do not read the solutions passively. Cover the answer, solve first, then uncover and compare line by line. Any question you still get wrong goes into a "final error list" that you read on the morning of the exam. Students who follow this cycle consistently will find the transition to the Class 7 Mathematics solutions far easier, since the same study rhythm carries forward.

Practice Beyond the Textbook: Worksheets and Model Questions

Once the textbook practice sets are done, the MSBSHSE Solutions for Class 6 Mathematics become your checking tool for extra practice too. Textbook questions alone are enough to pass, but students who want full marks need a few additional questions per chapter, and you do not need any separate book to create them.

How to Build Extra Practice from Textbook Questions

The simplest method is to change the numbers in a solved practice set question. For example, if a question asks you to find the LCM of 12 and 18, rewrite it as the LCM of 15 and 20 and solve it fresh. If a word problem uses 24 kg of rice, change it to 36 kg. Because the method stays the same, you already know the steps; only the calculation is new. Solve the modified question first, then verify your answer using the relevant Maharashtra board Class 6 solutions page for that chapter.

A few ways to stretch one question into three:

• Swap the numbers, as shown above.
• Reverse the question: if you were given the perimeter and asked for a side, now give the side and ask for the perimeter.
• Add one extra condition, such as "also express the answer as a fraction of the total".

Beyond self-made questions, try previous-year style papers and unit test questions. Ready-made past papers for Class 6 are not always easy to find, since the state board officially releases papers mainly for Classes 10 and 12 [verify], so ask your school teacher for old unit test papers, or use our Class 6 Maths practice sets page for model questions in the same style.

Finally, add timed practice: pick one full practice set each week, set a 30-minute timer, and solve it without stopping. Timed solving trains you to finish the Class 6 Mathematics exam paper comfortably and shows which chapter still slows you down. Check every timed attempt against the solutions and update your error list the same day.

Exam Strategy for Class 6 Maths: Reading, Solving and Checking

Solving well on exam day matters as much as preparing well. Even students who use the MSBSHSE Solutions for Class 6 Mathematics all year can lose marks if they misread questions, run out of time, or present working in a messy way. The habits below fix exactly those problems.

Time Management During the Maths Paper

Start with a quick scan of the whole paper in the first two minutes. Then follow this order: solve the easy and short questions first, attempt the medium ones next, and keep the long word problems for the end. If a long question takes more than a few minutes, mark it with a tick in the margin and move on; return to it after finishing everything else. This "mark-and-return" method makes sure one hard question never eats the time of five easy ones.

Keep the last 10 minutes only for checking. Use that time to verify calculations in fractions and decimals, confirm that every question has an answer written, and correct any units you missed. During your weekly timed practice at home, follow the same order so that it becomes automatic by the time the Class 6 Mathematics exam arrives.

How to Present Answers for Full Marks

Examiners give method marks for correct working, not just the final answer. So write every step in order, and draw a small box or underline the final answer with its unit. For geometry questions, draw diagrams with a ruler and pencil, label all points and angles, and state what is given before you begin the proof or construction. For word problems, write the statement, the operation, and then the answer with units such as cm, kg or litres.

Reading questions carefully is part of presentation too. Read every word problem twice, and underline the given data the first time you read it. Ask yourself what exactly is asked: "how much is left", "how many in total", or "per what"? Many wrong answers in a Class 6 Maths paper come from solving the right numbers for the wrong question, which one extra reading would have prevented. If you finish the paper early, use the leftover minutes to recheck these underlined questions first, since they carry the highest risk.

Why Our MSBSHSE Class 6 Maths Solutions Are Reliable

When you look up an answer, you need to trust that the answer itself is right. Every set of MSBSHSE Solutions for Class 6 Mathematics on this site is prepared by checking each step against the current state board textbook, so the method, notation and units match what your teacher expects in class. Solutions are reviewed by subject teachers before publishing, and any error reported by a student is corrected promptly [verify edition year].

How We Keep Solutions Updated with the Latest Textbook

The state board revises its textbooks from time to time, and a solution written for an old edition can confuse you. That is why our team re-maps every chapter and practice set whenever a new edition is released, and renumbers the exercise-wise pages to match. Before you start a chapter, quickly compare the practice set numbers on our page with your textbook; if anything looks different, tell us through the feedback option so we can fix it [verify].

Reliability also means easy access. The solutions are completely free, with no login or sign-up required, and the pages are mobile-friendly, so you can check a step while sitting with your textbook. Each chapter page opens exercise-wise, which means you can jump directly to the exact practice set you are stuck on instead of scrolling through the whole chapter.

Students studying in Marathi medium will find support for key chapters where available, with terms explained in simple language alongside the standard mathematical working [verify medium coverage]. And when you finish Class 6, the same trusted format continues on our Class 7 Mathematics solutions hub, so your method of studying stays consistent in the next standard.

Finally, accuracy is a shared job. If you ever find a step that does not match your textbook answer, recheck your own working first, then report the difference. Most reported issues turn out to be printing differences between editions, and clarifying them makes the solutions better for every student who uses them after you.

Frequently Asked Questions

Where can I find chapter-wise MSBSHSE Solutions for Class 6 Mathematics?

You can find chapter-wise MSBSHSE Solutions for Class 6 Mathematics right on this page. Every chapter from the state board textbook is listed separately, and within each chapter the solutions are arranged exercise by exercise, so you can open only the practice set you need instead of scrolling through the whole book.

Are the MSBSHSE Solutions for Class 6 Mathematics available in Marathi medium?

Yes, Marathi medium students can use these MSBSHSE Solutions for Class 6 Mathematics. The answers follow the same textbook method, and key mathematical terms are kept consistent with the Marathi textbook wording so you can match each step with what is written in your own book [verify medium availability].

Are these Class 6 Maths solutions based on the latest Maharashtra Board textbook edition?

The solutions are prepared to match the current state board Class 6 Mathematics textbook, chapter names and practice set numbering included. Textbook editions are occasionally revised, so if your book shows a different chapter order, check the chapter list here against your copy and confirm with your teacher [verify].

Can I download the Class 6 Maths solutions as a PDF?

A PDF download is handy when you want to revise without internet. Check whether a download option appears on this page for the chapter you need; if not, you can save the page itself for offline study. Always confirm the PDF matches your textbook edition before relying on it [verify].

Which chapters of Class 6 Maths are most important for exams?

Chapters on integers, fractions and decimals, algebraic expressions, and basic geometry (angles, triangles and constructions) usually carry more weight because they also form the base for Class 7. Your exact exam weightage comes from the paper pattern your school follows, so confirm the distribution with your teacher [verify].

How should I use these solutions to prepare for Class 6 Maths exams?

Attempt each practice set on your own first, then check your working against the solutions and note every question you got wrong. Redo those questions after two days without looking at the answers. Before exams, revise only the marked questions, which turns the solutions into a personal error notebook.