Chapter 1 REAL NUMBER
Real numbers include all numbers that can be placed on the number line, like integers, fractions, decimals, and irrational numbers. This chapter explains Euclid’s division lemma, HCF, and prime factorization.
Chapter 2 POLYNOMIALS
Polynomials are expressions made of variables and constants combined using addition, subtraction, and multiplication. This chapter explains types of polynomials, their degrees, and how to find zeros using graphs and algebra.
Chapter 3 – Pair of Linear Equations in Two Variables
This chapter teaches how to solve two linear equations with two variables using different methods. You learn graphical, substitution, elimination, and cross-multiplication techniques. It also explains how real-life problems can be expressed and solved using linear equations.
Chapter 4 – Quadratic Equations
This chapter teaches how to solve quadratic equations using factorization, completing the square, and the quadratic formula.
You learn how to check real roots using the discriminant.
It also explains how quadratic equations apply to real-life problems.
Chapter 5 – Arithmetic Progressions (AP)
An arithmetic progression is a number sequence where each term increases or decreases by a fixed value.
You learn formulas for finding the nth term and the sum of n terms.
AP helps in solving real-world counting and money-related problems.
Chapter 6 – Triangles
This chapter explains similarity of triangles and their properties.
You learn the basic proportionality theorem (BPT) and areas of similar triangles.
It also covers important theorems used in geometry
Chapter 7 – Coordinate Geometry
Coordinate Geometry tells you how to locate points on the XY-plane using ordered pairs.
You learn distance formula to find how far two points are.
It helps in understanding shapes and graphs on the coordinate plane.
Chapter 8 – Introduction to Trigonometry
This chapter introduces trigonometric ratios like sin, cos, and tan through right-angled triangles.
You learn how to find unknown heights and distances using angles.
It is the foundation of all advanced trigonometry.
Chapter 9 – Some Applications of Trigonometry
This chapter shows real-life uses of trigonometry for finding heights and distances.
You solve problems involving angles of elevation and depression.
Only trigonometric ratios are used, no formulas like identities.
Chapter 10 – Circles
This chapter explains tangents drawn from a point outside a circle.
You learn the relationship between radius and tangent.
It also covers equal tangents drawn from the same point..
Chapter 11 – Areas Related to Circles
You calculate areas of circles, sectors, and segments.
The chapter teaches how to find shaded regions by combining different shapes.
πr² and related formulas are used in most problems.
Chapter 12 – Surface Areas and Volumes
This chapter connects solids like cubes, cylinders, cones, and spheres.
You learn formulas for total surface area and volume.
It also includes practical problems using combinations of solids.
Chapter 13 – Statistics
The chapter teaches how to organize data into tables.
You calculate mean, median, and mode.
Graphs and charts help show data more clearly.
Chapter 14 – Probability
Probability tells you the chance of an event happening.
You calculate outcomes of simple events like tossing a coin or rolling a dice.
It helps in predicting results based on possible outcomes.
NCERT Maths – Answer Sheet
This section includes complete solutions to all chapter exercises from the NCERT Class 10 Maths book.
Each question is solved step-by-step to help you understand concepts clearly.
It also includes exemplar problems and extra practice questions for better exam preparation.