Improve Your Maths Scores: NCERT Maths Class 10 Notes

NCERT Maths Class 10:

If you’ve just about had it with numbers and symbols and your class 10 Maths class, look no further than here for a complete overview of NCERT Maths Class 10. It’s frustrating, we know, when questions are difficult to understand, concepts don’t make sense, and solutions are far from apparent. However, with these chapter by chapter notes, you will be able to go through the concepts covered in each chapter with detailed explanations and examples and be able to do practice problems to review your knowledge before class. In this article, read an overview of NCERT Maths class 10.

Chapter 1: Real Numbers

This chapter focuses on topics including Highest Common Factor (HCF), Euclid’s division algorithm, prime factors and numbers, Lowest Common Multiple (LCM), rational and irrational numbers, long division, decimal expansion

Chapter 2: Polynomials

This chapter includes the following subjects: degree of a polynomial, linear polynomials, quadratic polynomials, cubic polynomials, factorization of polynomials, graphs of polynomial equations, zeroes and coefficients, division algorithm

Chapter 3: Pair of Linear Equations in Two Variables

Topics in this chapter include Algebraic and graphical expressions of word problems, subtraction and addition of equations and respective solutions tables, comparing ratios and determining parallel or coincident lines, consistent and inconsistent linear equations, substitution method, fractions, determining angles of cyclic quadrilaterals

Chapter 4: Quadratic Equations

In this chapter, we learn about on polynomials with degree 2, which are known as quadratic polynomials. The chapter consists of word problems, solving quadratic formulas, finding roots of quadratic equations by factorization, finding the length of the side of a right triangle with hypotenuse, finding the root of equations using completing the square method, finding consecutive positive integers given a sum using the quadratic formula,

Chapter 5: Arithmetic Progression

The following are included in this chapter: the common difference, sequences, finding the nth term using the first term and the common difference

Chapter 6: Triangles

The following topics are included in this chapter: filling in the blanks exercises on the properties of geometric shapes, finding out whether two quadrilaterals are similar, finding out whether two lines are parallel within a shape, proving geometric statements using the dimensions of the given shape

Chapter 7: Coordinate Geometry

This chapter includes: finding the relation between x and y when the coordinates of two points are given, finding the perimeter of triangles, finding coordinates of the bisector of the line segment, finding the area of a triangle with specified vertices

 Chapter 8: Introduction to Trigonometry

The following topics are included in this chapter: using Pythagoras’ theorem to determine trigonometric functions, calculating trigonometric functions, proving the identity when the specifications of angles are given

Chapter 9: Some Applications of Trigonometry

In this chapter we cover the following information: solving word problems using trigonometric functions, proving geometric statements using trigonometry

Chapter 10: Circles

This chapter includes: finding angles of shapes within a circle, using trigonometric functions and the properties of a circle, given a set of tangents to the circle, finding the angle of the shape within the circle

Chapter 11: Constructions

In this chapter: drawing line segments within specified lengths and ratio, and finding measure of specified parts, constructing geometric shapes with specifications, constructing tangents of a circle

 Chapter 12: Areas Related to Circles

The following is included in this chapter: comparing perimeters of circles and squares to derive areas, finding areas of a circle that can be inscribed within a square, word problems that require drawing a circle in relation to its surroundings and finding the measurements of various parts of the circle, word problems requiring trigonometry to find angles

 Chapter 13: Surface Area and Volumes

In this chapter, problem-solving is required to find the measurement of sides and edges of shapes, of the surface area and volumes of various shapes, when only certain dimensions are given. Three-dimensional shapes such as a cone, a cylinder, and cubes are covered in this chapter. Word problems are also given where shapes need to be drawn according to specifications and calculate dimensions.

 Chapter 14: Statistics

This chapter covers the calculation of mean, median, mode through simple calculations and word problems.

 Chapter 15: Probability

 In this chapter, word problems are given to calculate the probability of mutually exclusive and non-exclusive events. In certain cases, specifications are given to calculate the favourable outcome for an event.

Image Credits: Randy Glasbergen

A lot of information is covered in each of these chapters. Given the pivotal nature of the NCERT class 10 Maths curriculum, regular revision and practice is important to be successful in class and in the pending Board examination. Using these NCERT Maths Class 10 notes, students can revise the information covered in class, do practice problems, and identify the issue areas and their respective strengths and weaknesses.

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