ICSE Class 10 Maths Projects Solved with Practical Applications

ICSE Class X (Class 10) solved projects along with their real world-applications and how they can solve practical problems. Creative projects on Quadratic Equations, Data Analysis and Interpretation, Geometry in our surroundings, Statistics to study Social trends, Trigonometry, Interpreting Graphs and Charts, Probability, Linear Equations, and more. Find projects and notes for ICSE Class 10. 

Most boards (including ICSE, CBSE) have now introduced math projects in Class X (10) in order to make mathematics more interesting, and to actively involve school students and to make them more enthusiastic about Maths. This is a great idea as it would develop natural interest in the subject and also remove fear of the subject among students. The projects would enhance creative skills and critical thinking among students.

Here are some popular Projects Topics for Maths (COMMERCIAL MATHEMATICS).

Draw Graphs

Question:  The following are the scores of two groups of Class X students in a test of logical reasoning.

Scores, Group1, Group 2
32-34, 13, 22
35-37, 12, 17
38-40, 20, 12
41-43, 18, 8
44-46, 15, 4
47-49, 10, 3
50-52, 4, 2

Represent this data in the form of a histogram.

Banking & Shares

Question: Monica had a R.D account in the Union Bank of India and deposited Rs600 per month. If the maturity value of this account was Rs. 24,930 and the rate of interest was 10% per annum; find the time in years for which the account was held.

Math project on Shares and dividends for Class X ICSE

In financial markets, the stock is a unit of account for various investments. It often means the stock of a corporation, but it is also used for collective investments such as mutual funds, limited liability companies, and real estate investment trusts.

Companies issue shares that are offered for sale to increase share capital. The owner of shares of the corporation is a shareholder (or shareholder) of the corporation. An action is an indivisible unit of capital, expressing the ownership relationship between the company and the shareholder. The denominated value of a share is its nominal value, and the total of the nominal value of the issued shares represents the capital of a company, which may not reflect the market value of such shares.

The income received from ownership of shares is a dividend. The process of buying and selling stocks often involves going through a broker as an average man.

The shares are valued according to several principles in different markets, but a basic premise is that a stock is worth the price at which it would be probable that a transaction would happen the shares to be sold. The liquidity of the markets is an important consideration as to whether an action can be sold at any given time. A real sale transaction of shares between the buyer and the seller is generally considered to provide the best prima facie indicator of the market as to the “true value” of the shares at that particular time.

Dividend

A dividend is a payment made by a corporation to its shareholders, usually as a distribution of profits. When a corporation earns a profit or a surplus, the corporation may revert the profit to the business (called retained earnings) and pay a proportion of the dividend benefit to shareholders. The distribution to shareholders may be cash (usually a deposit into a bank account) or, if the corporation has a dividend reinvestment plan, the amount can be paid by issuing new shares or repurchasing shares.

A dividend is allocated as a fixed amount per share, with shareholders receiving a dividend proportional to their shareholding. For a corporation, paying dividends is not an expense; Rather, it is the division of profits after taxes among shareholders. Retained earnings (profits that have not been distributed as dividends) are shown in the equity section of the company balance sheet, as well as its issued share capital. Public corporations often pay dividends on a fixed schedule, but can declare a dividend at any time, sometimes called a special dividend to distinguish it from fixed-time dividends. Cooperatives, on the other hand, allocate dividends according to the activity of the members, so that their dividends are often considered as an expense before taxes. The word “dividend” comes from the Latin word “dividendum” (“to divide”).

Maths project on ‘BANKING’ for ICSE class 10

Topics:
1) Acknowledgement
2) Contents
3) History of Banking
4)Banking and Banks
5) Function of a Bank & Internet Banking
6)Types of Bank Account
7) Savings Bank Account
a) Opening of a savings bank A/c
b) Savings bank passbook
c) Operating
8) Recurring Deposit A/c
a) Find equivalent Principal for one month for the whole deposit
b) Calculation of a Maturity amount on Recurring Deposit
c) Illustrated examples.
9) Bibliography.

TOPIC: COMMERCIAL MATHEMATICS (Grade 10)
LEARNING OUTCOME: Students will gain knowledge of
– Types of bank accounts and learn how to make wise commercial choices
– Knowledge about Shares and Dividends
METHODOLOGY:
1. Students will carry out a survey of 2 banks and collect information on the different types of bank accounts and the rates of interest offered for various loans like home loan, student loan, etc. and the interest offered for savings and recurring scheme. Bank brochures and forms could be used to illustrate the same.
OBSERVATION:
Question 1:
Visit any two banks and collect details with reference to the following:
1. Name of Bank visited
2. Date of visit
3. Types of accounts available and details
4. Types of Loans
5. Supporting evidence
If you had to make an account in a bank, which bank would you choose?

Math project on Planning a home budget for Class X ICSE

It’s important to have a home budget in place – whether you’re trying to save money or are trying to stop overspending on non-essential items. The task may seem daunting, but it’s really just a matter of comparing your income and expenses to see where you stand. Planning a home budget requires dedication.
– Calculate Your Income
– Track Your Expenses
– Check Your Balance
– Plan/Budget for the Extras

ICSE Class 10 Maths Project on Home Budget

Here are some ideas for doing a project n this topic:

Budget how much your spend on milk, fruits, vegetables and food
Budget how much your spend on electricity, cooking gas, mobile bills, telephone bills, internet

Project on Geometric Progression for ICSE Class 10

Geometric progression (or geometric sequence) is a specific type of sequence in mathematics. Each term in the sequence is obtained by multiplying the previous term by a fixed constant (common ratio). Geometric Progression is used in various mathematical calculations and has various real-life applications.

(1) What is Geometric progression?
(2) Explain the terms used in the general form of Geometric progression.
(3) Give three examples of Geometric progression from daily life and explain them. Attach appropriate pictures or drawings related to them.Activity : Use a graph paper
a) Draw a square of side 16𝑐𝑚 × 16𝑐𝑚 on the graph sheet.
b) The second square is drawn by joining the midpoints of the above square.
c) The third square is drawn inside the second square in the same way and this process continues indefinitely .
d) Find the area of each square formed in the above figure.
e) Show that the area of the squares forms a geometric progression and find the common ratio.

Math project on Mensuration for Class X ICSE

Topic: Mensuration (cylinder, cone, sphere, hemisphere) all the formulae.

Project Title: Mensuration-Cylinder

Objective: To verify the formulae for curved surface area, total surface area and volume of a solid right circular cylinder. Points to be covered:

1. Introduction: A solid right circular cylinder, its CSA, TSA and Volume (with pictures).
2. Formulae for curved surface area, total surface area and volume of a solid right circular cylinder.
3. Pre-requisite and Materials Required
4. Method: Practical verification of the above theorem. (Pasting of cutouts)
5. Observation: Tabulation of the data, calculation and comparison.
6. Conclusion: on the basis of the observation made.
7. Real Life Applications of ‘A Solid Right Circular Cylinder’ including pictures.
8. My Learning Experience: Must share your experience and learnings while completing the project in 5-10 sentences.
9. Bibliography: Mention the books (with the authors’ name) you referred and sites you visited.

Project Title: Circle-Cyclic Quadrilateral
Objective: To verify that the opposite angles of a cyclic quadrilateral are supplementary. Points to be covered:

• Introduction: A Cyclic Quadrilateral (with pictures).
• Its Property: The opposite angles of a cyclic quadrilateral are supplementary.
• Remaining sections same as above.

Project Question: Find by construction the centre of a circle, using only a 60-30 sets square and a pencil. Also mention which Theorem is used here and mention any limitations.

More Math Topics for ICSE Class X

Question: Probability- Detail about probability and find sample space when coin are tossed once, twice, thrice, four times and find the probability for any 2 events of each case

Question: GST -Detail and 5 examples on different bills

Question: Equation- 1) Algebraic 2) Quadratic

Question: Project on the methods of finding the centre of the circle ( 5 methods)
Project on histogram – With real life based values

Question: Comparative newspaper coverage of different items: – Crime. Education. Sports. Social Awareness . Stock Market/Business . Celebrity Consider at least three different newspapers. Draw the pie-charts for the data you have collected. Use one graph sheet for comparison (Statistics).

Question: To use a Newspaper/News Channel to study and report on Shares and Dividend of 5 different companies: Tata Motors. Reliance Industries. Indian Oil Corporation. State Bank of India. Bharat Petroleum.
Also find the change in annual income of a person who invests same amount of money (2.5 lacs to 3.5lacs) in any of the two different firms. (Com. Mathematics)

Question: Make a Mathematical Instrument Clinometer for measuring the angle of Elevation/Depression of an object and Calculate the height of an object using it. (Trigonometry)

Question: Design a layout plan of your dream house/Shop/Mall and find its Area. (Mensuration)

Question: Use at least three 3 dimensional shapes – Right circular Cylinder, Right circular Cone, Sphere, Hemisphere, Cube or Cuboid to design a shape. Also find the Surface area and Volume of it. (Mensuration).

Question: To use flat cut outs to form cube, cuboids and pyramids to obtain formula for volume and total surface area.

Question: Study the ways of raising a loan to buy a car or a house. Example-bank loan

Question:
1) Write and learn the value of 1) square of first 30 natural numbers. 2) cube of first 20 natural numbers. 3) square root of first 20 natural numbers.
2) Applications on Trignometry. 3 Sums based on the applications on Trignometry (find height, find distances, find angle of elevation)

Math Project Topics for Higher Class

Mathematics projects for students help them to understand important math concepts. Here are some topic for Match projects:

History of Geometry
Euclid’s Proof
Four Colour Theorem
Life of mathematics
Rectangle turning around corner which are not right-angled
Knowledge of mathematics
Application of trigonometry
What is topology and its uses.
Calculate the area and perimeter of circle
Explain theorems in Circles with diagrams
How are statistics used in an organization
How were square roots found before the invention of calculators?
Who teaches mathematics to a teacher
Circles form an important part of mathematics
What you learn from mathematics
Angle sum properties of triangle
Area of regular polygons
Binary numbers
Concept of infinity
Exploring Fibonacci numbers
Binomial theorem
Conic section in geometry
Algebraic equation
Pythagorean theorem
Quadratic equation
Surds
Fraction
Use of p
Magic square
Application of Statistics
Irrational number as real numbers
Irrational numbers as non-repeating, non-terminating decimals
Rationalize the denominator
Idea of profit and loss
Application of Pythagoras theorem
Angles opposite to equal sides and angles of triangles
Bar graph
Volume and area

Aryabhata: Indian mathematician and astronomer

Srinivasa Ramanujan: Mathematician

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