*ICSE Class 9 Maths Study Material – Syllabus, Study Notes, Previous Year Question Papers, Model Test papers, ML Aggarwal book Solution, Selina Book Solutions, etc are available here for students and teachers.*

## ICSE Class 10 Maths

ICSE Class 10 Maths Consists of the following chapter : Algebra, Quadratic Equations, Commercial Mathematics, Ratio and Proportion, ) Factorisation, Matrices , Arithmetic Progression, Geometry , Circles, Mensuration, Area and volume of solids, Trigonometry, Statistics , Mean, Median, Mode. Histograms and Ogive. Probability, Random experiments, Sample space, Events, definition of probability, Simple problems on single events etc.

The best reference books for ICSE Class 10 Maths are –

ML Aggarwal For Class 10

Selina For Class 10

RD Sharma For Class 10

## Resource ( Study Material ) – ICSE

## ICSE Class 10 Maths Syllabus ( 2022-23)

**1. Commercial Mathematics **

(i) Goods and Services Tax (GST)

(ii) Banking

**2. Algebra**

(i) Linear Inequations – Linear Inequations in one unknown for x ∈ N, W, Z, R.

Solving :

• Algebraically and writing the solution in set notation form.

• Representation of solution on the number line.

(ii) Quadratic Equations in one variable –

• Nature of roots ,

• Solving Quadratic equations by – Factorisation and Using Formula

(iii)Ratio and Proportion –

• Proportion, Continued proportion, mean proportion

• Componendo, dividendo, alternendo, invertendo properties and their combinations.

(iv) Factorisation of polynomials –

• Factor Theorem.

• Remainder Theorem.

• Factorising a polynomial completely after obtaining one factor by factor theorem.

Note: f (x) not to exceed degree 3.

(v) Matrices –

• Order of a matrix ( Row and column matrices).

• Compatibility for addition and multiplication.

• Null and Identity matrices.

• Addition and subtraction of 2×2 matrices.

• Multiplication of a 2×2 matrix by – a non-zero rational number , a matrix

(vi) Arithmetic Progression

• Finding General term,

• Finding Sum of first ‘n’ terms

(vii) Co-ordinate Geometry

• Reflection – Reflection of a point in a line: x=0, y =0, x= a, y=a, the origin. , Reflection of a point in the origin, Invariant points

• Co-ordinates expressed as (x,y), Section formula, Midpoint formula, Concept of slope, equation of a line, Various forms of straight lines

**3. Geometry**

(a) Similarity – Similarity, conditions of similar triangles.

• Comparison with congruency, keyword being proportionality.

• Three conditions: SSS, SAS, AA. Simple applications (proof not included)

(b) Circles-

• Angle Properties,

• Cyclic Properties,

• Tangent and Secant Properties

• Constructions – Construction of tangents to a circle from an external point, Circumscribing and inscribing a circle on a triangle and a regular hexagon.

**4. Mensuration**

(a) Area and volume of solids – Cylinder and Cone.

(b) Three-dimensional solids – right circular cylinder and right circular cone: Area (total surface and curved surface) and Volume.

(c) Direct application problems including cost, Inner and Outer volume and melting and recasting method to find the volume or surface area of a new solid. Combination of solids included. **Note: Problems on Frustum are not included.**

**5. Trigonometry**

(a) Using Identities to solve/prove simple algebraic trigonometric expressions.

(b) Heights and distances: Solving 2-D problems involving angles of elevation and depression using trigonometric tables

Note: Cases involving more than two right angled triangles excluded

**6. Statistics**

Basic concepts, Mean, Median, Mode. Histograms and Ogive.

**7. Probability**

Random experiments, Sample space, Events, definition of probability, Simple problems on single events

Reference : cisce.org

## ICSE Class 10 Maths Study Notes

1. Linear Equations Notes

2. Quadratic Equations

3. Ratio and Proportions

4. Matrices Notes

5. Arithmetic Progression (A.P) Notes

6. Coordinate Geometry Notes

7. Similarity of Triangles Notes

8. Circles Notes

9. Surface Area and Volume Notes

10 .Trigonometric Formulas Notes

11. Heights and Distance Notes

12. Notes on Probability

## ML Aggarwal Class 10 Solutions

Chapter 1 : GST

Chapter 2 : Banking

Chapter 3 : Shares and Dividends

Chapter 4 : Linear Equations

Chapter 5 : Quadratic Equations in one Variable

Chapter 6 : Factorization

Chapter 7 : Ratio and Proportion

Chapter 8 : Matrices

Chapter 9 : Arithmetic and Geometric Progression

Chapter 10 : Reflection

Chapter 11 : Section Formula

Chapter 12 : Equation of straight Line

Chapter 13 : Similarity

Chapter 14 : Locus

Chapter 15 : Circles

Chapter 16 : Constructions

Chapter 17 : Mensuration

Chapter 18 : Trigonometric Identities

Chapter 19 : Trigonometric Tables

Chapter 20 : Heights and Distances

Chapter 21 : Measures of Central Tendency

Chapter 22 : Probability

## ICSE Selina Maths Class 10 Solutions

Chapter 1 : GST

Chapter 2 : Banking

Chapter 3 : Shares and Dividend in two variables

Chapter 4 : Linear Equations in One Variable

Chapter 5 : Quadratic Equations

Chapter 6 : Solving Problems ( Base on Quadratic Equations)

Chapter 7 : Ratio and Proportions

Chapter 8 : Remainder and Factor Theorems

Chapter 9 : Matrices

Chapter 10 : Arithmetic Progressions

Chapter 11 : Geometric Progressions

Chapter 12 : Reflections

Chapter 13 : Section and Mid Point Formula

Chapter 14 : Equation of a Line

Chapter 15 : Similarity ( With Application to Maps and Models)

Chapter 16 : Loci ( Locus and its Constructions)

Chapter 17 : Circles

Chapter 18 : Tangents and Intersecting Chords

Chapter 19 : Constructions ( Circles )

Chapter 20 : Cylinder , Cone and Sphere ( Surface Area and Volume )

Chapter 21 : Trigonometrical identities

Chapter 22 : heights and Identities

Chapter 23 Graphical Representation (Histograms and Ogives)

Chapter 24 : Measures of Central Tendency ( Mean , Median , Quartiles and Mode )

Chapter 25 : Probability

## ICSE Class 10 Maths Previous Year Question Papers

ICSE Class 10 Maths Question Paper 2022

ICSE Class 10 Maths Question Paper 2021

ICSE Class 10 Maths Question Paper 2020

ICSE Class 10 Maths Question Paper 2019

ICSE Class 10 Maths Question Paper 2018

ICSE Class 10 Maths Question Paper 2017

ICSE Class 10 Maths Question Paper 2016

ICSE Class 10 Maths Question Paper 2015