Mathematics

This chapter provides information on the basics of the number system. It explains the concepts and definitions of cubes and cube roots, fractions, decimals, HCF, LCM, squares, and square roots. We also solve numerous objective questions.

This chapter explains the concept of Simplification and Approximation. It discusses simplification of mixed fraction and recurring decimals. It further explains the law of surds for simplifying the expressions involving surds or radicals.

Through this chapter, we will understand the various terms related to ratio and proportion. It provides us with some practice questions based on finding the ratios, comparing numbers, finding the ratio of shaded portion to unshaded in a figure, etc.

Through this chapter, we will study time and work. It explains the ratio and proportion method and the unitary method to solve problems related to time and work. We will also practice many concept-based questions to improve our subject clarity.

The chapter teaches us how to solve problems based on averages and weighted average. This chapter also contains various practice problems with their solutions.

This chapter explains the concepts of Time, Speed and Distance. It also discusses how they are applicable in mathematics. The tips and tricks detailed here will help the students understand the concepts better and apply them correctly in the examination.

This chapter sheds light on the concepts related to percentages. It discusses some simple rules for converting fractions into percentages and vice-versa, percentage into a ratio, decimal into a percentage, etc.

This chapter provides knowledge of profit and loss. We will understand the concepts of cost price, selling price, profit, loss, and profit or loss percentage. Formulas to calculate these are mentioned here. Examples are given here for understanding.

This chapter sheds light on simple and compound interest. It defines the basic terms related to interest, such as principal, time, rate, and amount. It also covers important formulae and relations to calculate simple interest and compound interest.

This unit discusses important points related to algebraic expressions. It briefs on monomial, binomial, trinomial and polynomial expression. It also teaches us how to simplify expressions with the aid of examples.

Ths chapter discusses mensuration. Mensuration is the chapter in mathematics that is related with the area and perimeter of figures in 2-D and 3-D. Perimeter is the outer distance of the boundary of a figure while area is the portion enclosed within the boundary.

This chapter sheds light on trigonometrical ratios and the relation between them. It briefs on complementary angles and their trigonometric relations. It also consists of a trigonometric table for angles 0?, 30?, 45?, 60? and 90?.

This chapter helps the aspirants enhance their understanding of various geometrical shapes such as two-dimensional and three-dimensional shapes. They also learn about mensuration by solving the given multiple-choice questions.

This chapter provides an overview of measures of central tendency. It elaborates on the usage of the three types of average. We also learn to calculate and use the mean of combined sets of data and grouped frequency tables.