ICSE Class 10 Maths Notes and Videos of Tarun Sir

Maths is a complex subject, if not for all, but certainly for the majority of the students. The ICSE class X, 2025 syllabus covers all the basic topics that a student should learn g iven their class and age. Although a bit lengthy,this curriculum can become more engaging when taught by a good teacher like Tarun Rupani. He makes all the numbers and theorems appear like an interesting game.

Class X ICSE Mathematics Notes

So, in a new initiative by Educart, we are providing free notes and videos of Sir Tarun Rupani for ICSE students. Use his notes and videos to start your ICSE Class 10 board exam journey.

Download Important Mathematics Formula Class 10 from here.

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Chapter No. Chapter Name
1 Goods and Services Tax (GST)
2 Banking
3 Shares and Dividends
4 Linear Inequations
5 Quadratic Equations in one variable
6 Ratio and Proportion
7 Factorisation of polynomials
8 Matrices
9 Arithmetic and Geometric Progression
10 Co-ordinate Geometry
11 Geometry - Similarity
12 Loci
13 Circles
14 Mensuration
15 Trigonometry
16 Statistics
17 Probability

1. Goods and Services Tax (GST)

In this chapter, students will learn about tax computation, including problems involving discounts, list price, profit, loss, and basic/cost price, including inverse cases. Candidates will also learn to find the price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST).   

2. Banking

This chapter teaches students about recurring deposit accounts, computation of interest, and maturity value using the formula. 

3. Shares and Dividends

This chapter explains the shares and dividends, face/nominal value, market value, dividend, and rate of dividend premium in detail. 

4. Linear Inequations

This chapter explains the linear inequations in one unknown for x ∈N, W, Z, R. Students will also learn to solve the equation algebraically and write the solution in set notation form. Representation of the solution on the number line is also explained.

5. Quadratic Equations in One Variable

This chapter explains the nature of roots, i.e., two distinct real roots if b2 – 4ac >0. Two equal real roots if b2 – 4ac = 0,  No real roots if b2 – 4ac < 0; Solving Quadratic equations by Factorisation and Using the formula and solving simple quadratic equation problems.

6. Ratio and Proportion

This chapter teaches about ratio and proportion, continued proportion, mean proportion, componendo, dividendo, alternendo, invertendo properties and their combinations. Direct, simple applications of proportions are also provided in the chapter.

7. Factorisation of Polynomials

This chapter explains the Factor Theorem. (b) Remainder Theorem. (c) Factorising a polynomial completely after obtaining one factor-by-factor theorem.

8. Matrices

This chapter explains the order of a matrix, row, and column matrices, null and identity matrices, compatibility for addition and multiplication, addition, subtraction, and multiplication of 2×2 matrices.

9. Arithmetic and Geometric Progression

This chapter explains arithmetic and geometric progression, finding their general term, finding the sum of their first ‘n’ terms, and simple applications. 

10. Co-ordinate Geometry

This chapter explains the reflection in detail, like the reflection of a point in a line: x=0, y =0, x= a y=a, the origin, reflection of a point in the origin, and invariant points. Co-ordinates expressed as (x,y), section formula, midpoint formula, concept of slope, equation of a line, various forms of straight lines are also explained. 

11. Similarity

This chapter explains in detail the similarity and various conditions of similar triangles like SSS, SAS, and AA; the comparison with congruency, the keyword being proportionality; applications of the basic proportionality theorem, areas of similar triangles are proportional to the squares of corresponding sides, etc.  

12. Loci 

In this chapter, there is a detailed explanation of Loci that includes its definition, meaning, theorems, and constructions based on Loci.

13. Circles

This chapter explains the various angle properties, cyclic properties, tangent and secant properties of a circle. Construction of tangents to a circle from an external point and circumscribing and inscribing a circle on a triangle and a regular hexagon. 

14. Mensuration

This chapter discusses the area and volume of solids – cylinder, sphere, and cone, including direct application problems, including cost, Inner and outer volume, and melting and recasting methods to find the volume or surface area of a new solid. 

15. Trigonometry

This chapter explains how to use identities to solve/prove simple algebraic, trigonometric expressions and how to solve height and distance questions for 2-D problems involving angles of elevation and depression using trigonometric tables.

16. Statistics

This chapter explains the statistics and basic concepts like mean, median, and mode. Histograms and ogive. Finding the mode from the histogram, the upper quartile, lower quartile median, etc., from the ogive, is also explained in the chapter.

17. Probability

This chapter provides a detailed explanation of random experiments, sample space, events, the definition of probability, and simple problems with single events.

Download the ICSE Class 10 Probability notes.
(PDF- to be uploaded soon)

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