NIOS Class 10 Math 211 Solved Practical File

Practical File · Math 211

NIOS Class 10 Math 211 Lab Manual – nios maths practical file class 10 (Latest Oct 2025)

Are you stuck on the types of formats, observations, or live questions for your NIOS Maths practical file class 10? There's no need to worry.

30 ActivitiesReady-to-UseViva Bank Included

NIOS Class 10 Math 211 Lab Manual – nios maths practical file class 10 (Latest Oct 2025)

Are you stuck on the types of formats, observations, or live questions for your NIOS Maths practical file class 10? There's no need to worry. Students from all over the world have the same three questions each session: how to write about, how to present it, and how to get complete marks with no mistakes. This page will provide you with an easy, exam-ready route with the NIOS Class 10 Math 211 Lab Manual that was designed to meet the most recent October 2025 updates. Unnati Education provides a ready-to-use, clean and tidy NIOS-approved NIOS Class 10 Maths practical files (Lab Manual) in Hindi and English to help you complete your exam on time and enter your practice confidently.

What is the reason why the NIOS Maths Practical Class 10 file determines your final result?

Students usually focus on the theories and forget about the actual file. This is a mistake that can cause damage. The NIOS Maths practical file class 10 directly affects internal marks, and the status of your hall ticket, and may help you save your percent in the event that a paper you're studying feels hard.

Complete the NIOS 10 Math 211 Class 10 Math 211 Laboratory Manual, and you'll be able to:

  • Meet internal assessment requirements and not any guesswork
  • Avoid file rejections due to improper formats.
  • Lock 20-30 marks of practicality effortlessly.
  • Attend a viva interview with clear, concise, precise answers.

Unnati Education aligns every page with the latest NIOS instructions for October 2025 to ensure your submission is in line with current standards.

What's inside this manual is the NIOS 10 Math 211 Lab Manual for Class 10 Mathematics 211 Laboratory Manual.

It is the NIOS Class 10 Math 211 Lab Manual is precisely written in the format that pattern-checkers want to view. You will receive:

  • Nice aims, materials, process, observations, calculations, conclusions
  • Diagrams put onto the white side, accompanied by labels
  • Cover page, index, and a space for teacher signatures are included.
  • Viva Reserve Bank to fund each transaction
  • Hindi as well as English versions are available.
  • Formats that are to be in line with the NIOS Maths Practical File Class 10 regulations

All content is 100% duplicate content, is clear and is strictly in NIOS style. It appears like the work of a student, not just an unrelated download.

Table of Contents that readers can read at a glance

Below is the typical 30-activity index that we have included in the NIOS Class 10 Maths Practical Files (Lab Manual). The pagination of the index can differ based on the size of the diagram or handwriting, but we try to keep it neat and uniform for easy checking

Sno List of Activities Pages
1 Verification of the identity (a+b)² = a² + 2ab + b² 1
2 Verification of the identity (a-b)² = a² - 2ab + b² 3
3 Verification of the identity (a²-b²) = (a+b)(a-b) 5
4 Verification of the identity (a+b)³ = a³ + b³ + 3a²b + 3ab² 7
5 To find the HCF of two given numbers by division method 9
6 Equivalent fractions 11
7 To verify that a linear equation in two variables has infinite solutions 13
8 To find the condition for consistency of a system of linear equations 15
9 To verify the relation between roots and coefficients of a quadratic equation 19
10 To verify graphically that a quadratic polynomial can have at most two zeroes 21
11 To verify that a given sequence is an A.P. 23
12 To find the sum of first n odd natural numbers 25
13 To find the sum of first n natural numbers 27
14 To find the sum of first n terms of an arithmetic progression 29
15 To verify that the sum of the angles of a triangle is 180° 31
16 To verify that the angles opposite to equal sides of a triangle are equal 33
17 To verify mid-point theorem 35
18 To verify basic proportionality theorem 37
19 To verify Pythagoras theorem 39
20 To verify the relation between the ratio of areas of two similar triangles and their sides 41
21 To find the area of a circle 43
22 To demonstrate that the opposite angles of a cyclic quadrilateral are supplementary 45
23 To verify that the equal chords of congruent circles subtend equal angles at the centre 47
24 To find the area of a trapezium 49
25 To find the total surface area of a cube 51
26 To find the formula for the curved surface area of a cone 53
27 To find the relationship among the volumes of right circular cone, cylinder, and hemisphere 55
28 To verify the identity a³ − b³ = (a − b)(a² + ab + b²) 57
29 To draw a triangle equal in area to a parallelogram 59
30 To find the incentre of different types of triangles 61

.The single index helps save the examiner's time as well as indicating that your NIOS Maths practical file class 10 is completed and well-organised.

Five examples of practical exercises from the document

1) Verification of (a+b)2 = a2 + 2ab + b2

Objective: To verify the algebraic identity (a+b)² = a² + 2ab + b² using geometric representation.

Materials Required: Graph paper, ruler, pencil, colored pens.

Procedure: Take a = 3 cm, b = 2 cm. Draw a square of side (a+b) = 5 cm. Divide it into four parts: two squares (a², b²) and two rectangles (ab each). Calculate areas: (a+b)² = 5² = 25 cm²; a² = 3² = 9 cm², b² = 2² = 4 cm², 2ab = 2×3×2 = 12 cm². Verify total area.

Observations: Total area = 25 cm²; a² + 2ab + b² = 9 + 12 + 4 = 25 cm². Identity verified.

Conclusion: The geometric method confirms the algebraic identity (a+b)² = a² + 2ab + b².

Diagram: Square of side 5 cm divided into a² (9 cm²), b² (4 cm²), and two ab rectangles (6 cm² each).

2.) The HCF for two numbers through the division method

Objective: To find the Highest Common Factor (HCF) of two numbers using the division method.

Materials Required: Notebook, pen, calculator (optional).

Procedure: Choose two numbers, e.g., 48 and 18. Divide 48 by 18, record the quotient and the remainder. Divide 18 by remainder. Repeat until the remainder is 0. The last non-zero divisor is the HCF.

Observations: 48 ÷ 18 = 2 (remainder 12); 18 ÷ 12 = 1 (remainder 6); 12 ÷ 6 = 2 (remainder 0). HCF = 6.

Conclusion: The division method accurately determines the HCF, useful for simplifying fractions.

Diagram: Step-by-step division process with numbers 48 and 18.

3.) The sum of angles in the triangle is 180deg

Objective: To verify that the sum of angles in a triangle is 180°.

Materials Required: Protractor, ruler, paper, pencil.

Procedure: Draw a triangle ABC with sides 5 cm, 6 cm, 7 cm. Measure angles ∠A, ∠B, ∠C using a protractor. Sum the angles and verify if they equal 180°.

Observations: ∠A = 60°, ∠B = 70°, ∠C = 50°. Sum = 60 + 70 + 50 = 180°.

Conclusion: The sum of angles in a triangle is always 180°, confirming a fundamental geometric property.

Diagram: Triangle ABC with angles labelled (60°, 70°, 50°).

4.) Pythagoras' theorem

Objective: To verify Pythagoras' theorem in a right-angled triangle.

Materials Required: Graph paper, ruler, pencil.

Procedure: Draw a right-angled triangle with sides 3 cm, 4 cm (legs), and 5 cm (hypotenuse). Construct squares on each side. Calculate areas: 3² = 9 cm², 4² = 16 cm², 5² = 25 cm². Verify if the area of the square on the hypotenuse equals the sum of areas on the legs.

Observations: 9 + 16 = 25 cm², matches 5² = 25 cm². Theorem verified.

Conclusion: Pythagoras' theorem (a² + b² = c²) holds for right-angled triangles.

Diagram: Right triangle with squares on sides (3 cm, 4 cm, 5 cm).

5) The total surface area of the cube

Objective: To find the total surface area of a cube using a physical model.

Materials Required: Cardboard, ruler, scissors, and glue.

Procedure: Construct a cube with a side of 4 cm using cardboard. Calculate total surface area using formula 6a², where a is the side length. Measure each face and verify.

Observations: Side = 4 cm, each face area = 4² = 16 cm², total surface area = 6 × 16 = 96 cm².

Conclusion: The formula 6a² accurately calculates the total surface area of a cube.

Diagram: Cube with side 4 cm, showing six faces.

A bank that helps ease stress on exam days

Examiners typically test concepts for clarity. We include short, crisp answers for quick recall:

  • How can geometry be confirmed (a+b)2?
  • What is the reason HCF is crucial in the face of real-world challenges?
  • Provide a basic proof for angle sums in the form of a triangle.
  • Where can Pythagoras actually be used?
  • What is the reason for the cube's surface 6a2?

The practice of these skills helps you to handle the viva confidently and boosts your score in practical tests.

Formatting instructions for a clear and NIOS-ready file

This structure is suitable to create your Nios Maths Practical class 10 file, so that there's no problem:

  • Notebook Cover: Hard cover, one side lined, one side empty
  • Layout according to practical: Aim, material process, observation and calculation, concluding a neat diagram
  • The index and the cover pages: Clean and complete
  • Presentation: Black or blue pen only, all headings underlined and margins that are consistent
  • Submission: Some centres ask for 5-7 practice exams; verify the requirements of your AI and submit your application 15 days prior to the practical test
  • The marks: These are the ones that add towards the 100 final marks; ensure that accuracy and neatness are maintained.

We mirror this format into each NIOS 10 Math 211 Class 10 Math Lab Manual copy to ensure that exam takers can find everything quickly.

Why should you select Unnati Education to provide the NIOS Class 10 Math 211 lab manual?

Students choose Unnati Education because we keep the curriculum current and accurate:

  • Files created by subject experts
  • Accepted at AIs all over India
  • Hindi and English mediums are available.
  • Updates on a regular basis for NIOS in October 2025
  • Handwritten or PDF format
  • Assistance for stream 2, 3, 4, and ODE candidates
  • Help with resubmission to make sure you didn't miss the previous window.

We also provide TMAs, PYQs and coaching to ensure you can prepare from beginning to end. To learn more about our privacy policies and practices, contact us on our website or on WhatsApp, and we'll walk you through the process step-by-step.

Ordering steps for your NIOS Maths Practical File, Class 10

  • Message [WhatsApp Now]
  • Share your subject: Math 211, preferred medium and the format (handwritten or written)
  • Choose delivery: PDF quick delivery or printed courier.
  • Pay using the standard method.
  • Include your name and enrolment information for the index and cover.
  • You will receive your file along with a viva form and instructions for submission.

PDFs typically are ready quickly, and couriers can take a shorter time, depending on where they are located. The content is aligned with NIOS October 2025.

Extra academic help you can add

  • Solutions to Class 10 TMAs in both mediums
  • Sets of questions from previous years to help practice specific questions
  • Online and offline sessions are for chapters that are heavyweight.
  • ODE instructions for fast-track attempts
  • Confidence sessions to prepare for the viva

All of them are compatible with the NIO Class 10 Mathematics 211 Laboratory Manual for an organised, stress-free assignment.

Final push: submit a strong NIOS Maths practical file, Class 10

Do not let a file that is missing hinder your results. A well-organised NIOS Class 10 Maths Practical document (Lab Manual) can be the most straightforward 20-30 marks you get this year. When you use this NIOS 10 Maths Class 10 Mathematics 211 lab Manual available from Unnati Education, you get clarity, clean designs, and viva-proof answers which examiners will appreciate. Be sure to submit early, avoid anxiety in the last week and let the practice marks boost your overall grade.

Contact us on [WhatsApp] to get the most current NIOS Class 10 Math 211 Lab Manual, which is updated for the month of October 2025.

FAQs about nios maths practical file class 10

Q1. Is the NIOS Maths practical document class 10 mandatory?
Yes. Infrequently, non-submission can result in remarks similar to SYCP and could delay the outcome. A fully-filled file is crucial to ensure internal markings and Hall ticket approval.

Q2. How many practicals do I have to submit to Math 211?
The majority of AIs accept 5-7 practice sessions. Some require the complete set. Check with your study centre and plan in accordance with the guidelines. The file we provide includes all 30 pages so that you can provide precisely what your AI needs.

Q3. Can I create the file myself, instead of purchasing one?
Yes, you can. Follow the format strictly and ensure that the diagrams are clean. Many students still use our model to avoid structural errors and also to speed up the process. It comes with a Viva-Bank as well as the right index.

Q4. Is it true that Unnati Education files are accepted at all centres?
Our files are in line with the NIOS format and are accepted by AIs all over India. Students can also access them overseas with great success. Be sure to enter your correct information both on your cover and in the index.

Q5. Are the contents updated for October 2025?
Yes. It is true. The NIOS Class 10 Math 211 Lab Manual that comes with is aligned with the latest Oct 2025 regulations and contains layouts that are easy for exam takers, diagrams, illustrations, and brief, precise viva questions.

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