Mathematics

This unit from EMBIBE-CHAPTER-WISE-PREVIOUS-YEAR-PAPERS-FOR-SAT has 19 chapters to practice on Mathematics

This chapter discusses the area and perimeter of a circle, the concept of touching circles, the rotating wheels and the rotation of the hands of a clock. Area of the sector, segment of a circle and the combination of plane figures are also explained.

This chapter introduces the concepts of arithmetic progressions. The students will learn how to find the nth term of an AP and the sum of the first n terms of an AP. Various solved examples are given to illustrate the use of the formulae.

This chapter talks about circles and its related terms. We will be exposed to various important theorems on the circle. We will also study circle through three points and cyclic quadrilaterals through various practice questions.

This chapter teaches us to construct some of the fundamental elements from geometry step-by-step. It instructs us to divide a given line segment, construct a triangle and construct tangents to a circle.

This chapter throws light on the Cartesian coordinate system. It defines the terms orthocentre of a triangle, circumcentre of a triangle, the centroid of a triangle, etc. It also discusses the conditions by which three points are collinear.

This chapter helps revise our knowledge of the fundamentals of Mathematics such as algebraic inequalities, number systems, partial fractions, and variation. It also explains exponential and logarithmic series along with ratio and proportion.

This chapter teaches us how to find the area of special quadrilaterals, such as squares, rectangles and special triangles like right-angled, equilateral and isosceles triangles. It also discusses Heron's formula and its applications.

This chapter introduces us to the trigonometric ratios. It showcases the values of trigonometric ratios for standard angles and teaches us to calculate the same for complementary angles. Some trigonometric identities are also included.

Through this chapter, we will be able to define angles, types, their measurement and some associated relations. The concept of angles that are made by transversal by two lines related theorems are also explained in brief.

This chapter sheds light on the concept of pairs of linear equations in two variables. The solution of linear equations in two variables and algebraic methods of finding the solution for them are discussed here.

This chapter throws light on the concept of polynomials. It explains the identities and equations of polynomials with the help of examples. We will learn the degree of polynomials, zeros of polynomials, and roots of polynomials.

This chapter throws light on the concept of probability. It is the measure of the likelihood of an event to occur. MCQs with explanatory answers are provided for practice.

This chapter talks about quadratic equations. It explains the relation between roots and coefficients. We will learn the factorisation method of solving a quadratic equation and the formation of the quadratic equation when the roots are given.

Through this chapter, we will learn the definition of a quadrilateral. It describes the various properties of quadrilateral through the activity and examples. It also briefs us about the various types of quadrilaterals and their properties.

This chapter talks about the application of trigonometry, is used to determine the distances and heights of various objects, such as trees, towers and bridges. The terms related to its applications are defined and the word problems of heights and distances are also discussed.

This chapter teaches us how to collect, represent and interpret data. It explains the different ways to represent data graphically, which includes bar graphs, histograms and frequency polygons. It also discusses the measures of central tendency.

This chapter teaches us how to find the surface area of a solid, cuboid, cube, cylinder, cone and sphere. It also comprises problems based on these concepts for practice.

This unit deals with the concept of triangles. It provides information on complementary angles, supplementary angles, and adjacent angles with the help of various examples and exercises.