| Additional Questions for each Class with Solution | ||||||
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| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 10th Mathematics Additional Questions
Chapter 1 Real Numbers
This chapter covers the fundamental concepts of real numbers, including their properties, the Euclidean algorithm for finding the greatest common divisor (GCD), and the representation of real numbers on the number line.
Chapter 2 Polynomials
Students learn about polynomials, their degrees, and the factorization of quadratic polynomials. The chapter also focuses on the relationship between roots and coefficients.
Chapter 3 Pair of Linear Equations in Two Variables
This chapter deals with methods of solving systems of linear equations, including graphical methods, substitution methods, and elimination methods.
Chapter 4 Quadratic Equations
Topics include solving quadratic equations by factorization, completing the square, and using the quadratic formula. The nature of the roots of quadratic equations is also covered.
Chapter 5 Arithmetic Progressions
Students learn about arithmetic progressions (AP), the nth term of an AP, and the sum of the first n terms. Real-life applications of arithmetic progressions are also discussed.
Chapter 6 Triangles
This chapter focuses on the properties and criteria for congruence of triangles, such as the SSS, SAS, ASA, and RHS criteria. It also covers the similarity of triangles and theorems related to the angle bisector and Pythagoras' theorem.
Chapter 7 Coordinate Geometry
Students learn about the distance formula, section formula, and area of a triangle using coordinates. This chapter also explores the relationship between geometry and algebra in the coordinate plane.
Chapter 8 Introduction to Trigonometry
This chapter introduces students to the basic trigonometric ratios (sine, cosine, tangent) and their applications in solving right-angled triangles.
Chapter 9 Some Applications of Trigonometry
The chapter applies trigonometry to solve real-life problems, such as finding heights and distances, and exploring angles of elevation and depression.
Chapter 10 Circles
Students learn the properties of tangents, secants, and chords in a circle, including the tangent-secant theorem and the angle subtended by a chord at the center.
Chapter 11 Constructions
This chapter deals with the geometric construction of various figures, such as bisecting angles, constructing tangents, and drawing triangles with given specifications.
Chapter 12 Areas Related to Circles
Topics include finding the area and circumference of a circle, areas of sectors and segments, and applications of these concepts in solving practical problems.
Chapter 13 Surface Areas and Volumes
This chapter teaches the formulas for surface areas and volumes of 3D shapes such as cones, cylinders, spheres, and hemispheres, as well as the application of these formulas.
Chapter 14 Statistics
Students learn to organize and analyze data, using measures of central tendency (mean, median, mode) and understanding how to interpret data using various graphs and charts.
Chapter 15 Probability
This chapter introduces basic probability concepts, such as calculating the likelihood of an event happening, using the classical approach to probability.