Maths is one of the most important subjects for any student in their academic life, and grade 7 becomes an improvement on the chapters taught in the sixth grade. These chapters work to strengthen the concepts that were inculcated in the sixth grade. The subject is very important, but it is also the subject that the students find difficult to follow and understand. Scoring becomes difficult if the students do not show a proper attitude towards the subject or stop practising the subject.
RS Agarwal is a very famous book that is used all over the country. Dr RS Aggarwal is a household name because of his unique compilation of questions and his easy language of writing. The concepts in the book are very easily understandable, and the questions given are of varying difficulty levels. To help the students through these practice problems in case they get stuck, the Aakash institute provides RS Aggarwal solutions for class 7 th Maths. The subject matter experts prepare the RS Aggarwal Solutions exercise-by-exercise at Aakash institute under the guidance of our experienced and knowledgeable faculty. The solutions are easy to follow.
The explanations are constructed at a level that students can understand, making it easier for them to learn more information with RS Aggarwal solutions for class 7 maths. Furthermore, it includes detailed explanations of each question that help students understand this concept and ensure that they are prepared to answer the questions correctly. The solutions are designed after a thorough study of the syllabus for this year. In addition to a step-by-step description of each solution, the solutions contain a provision for addressing questions about any topic, which assist students in answering their doubts.
The RS Aggarwal Solutions for Class 7 Maths, provided by the Aakash Institute, are a collection of every chapter of the textbook RS Aggarwal Solutions for Class 7 th Mathematics. The textbook RS Aggarwal Solutions for Class 7 th Mathematics encompasses several chapters with many practice questions. The solutions help students to get a clear concept and solve these questions to consolidate their understanding of the topics. Aakash provides free PDF solutions for class 7th maths for ease of students, which is more helpful. It's recommended that students download and study the PDF format thoroughly to ensure a deep understanding of the material.
These solutions are based on the CBSE syllabus. With the help of these solutions, the students find the topics easy to understand. Aakash Institute uses an easy language that is easy to understand. Step-by-step explanations assist students in understanding the concepts from their basic level. Solutions are categorized according to the syllabus to make things easier. Moreover, all the details are arranged in a manner that is predictable to increase interest. As a result, students are guaranteed to understand every topic and get the best marks.
Chapter 1- Integers deal with different properties related to integers. As part of the introduction to integers, this chapter introduces rules for addition, subtraction, and multiplication of integers, as well as properties of multiplication and division of integers. A thorough understanding of every concept related to this chapter is essential as this topic is actively used in almost every major concept in mathematics. In addition, the students get to understand how the negative and positive signs play a role when the usual mathematical operators are applied.
Fractions are the stuff of Chapter 2, where you will learn how to multiply and divide fractions, as well as how to change unlike fractions into like fractions and how to compare more than two fractions. The chapter concludes with a detailed explanation of the term- reciprocal of fractions. The reciprocal of a fraction is the number 1 divided by the fraction. In short, it can be described as the process where the numerator of the fraction becomes its denominator and vice versa.
As part of Chapter 3- Decimals, we will convert a decimal into a fraction and a fraction into a decimal. Furthermore, it covers the addition and subtraction of decimals, the multiplication of decimals by 10, 100, 1000, etc., the multiplication of decimals by a whole number, and the multiplication of decimals by a decimal. Finally, the chapter concludes with some explained solutions for a decimal division by a whole number.
This chapter discusses positive rational and negative rational numbers. The standard form of rational numbers is the main topic in this chapter. It shows that the rational numbers can be represented in the form p/q where q≠0. Any number which is not rational can be deemed as irrational. The chapter clearly differentiates between the two. Additionally, the chapter discusses how rational numbers are represented on the real line. Finally, a brief mention of the comparison and division of rational numbers concludes this chapter.
In Chapter 5, we examine some of the theories and concepts related to the exponential form of numbers. It is the result of multiplying rational numbers several times. The chapter is based on the powers of numbers and how bigger numbers can be expressed as powers of their smaller factors. In addition, this chapter covers exponent laws, large numbers expressed in standard form, numbers expressed in expanded form, and square root concepts. There are several applications of this chapter in the subject of physics, so it is very valuable.
Throughout Chapter 6, we study monomial and binomial terms and their addition, subtraction, and multiplication. In algebraic expressions, variables, constants and algebraic operations are combined to form equations. The chapter revolves around the operations of these expressions and how these expressions can be used to denote certain situations. The chapter also deals with the multiplication of two binomials.
Chapter 7- Linear equations in one variable deal with equations that have the highest power of unity and the theorems related to them. An equation is a statement of equality, which contains one or more unknown quantities or variables. The other concepts explained in this chapter are transposition and conversion of a word problem into equations.
Chapter 8- Ratio and Proportion explain the relationship between two entities having a particular common factor (which in some cases could be 1). This chapter deals with the methods to convert larger numbers to their simplest form. Ratios are depicted using a ':' in between two numbers (for example, 2:3 is a ratio). The chapter concludes with explanations for the various relations between the numbers and how to represent them as a ratio. The chapter also includes the concepts of proportion and helps the students understand and find out which ratios or numbers are proportional to each other.
Chapter 9- Unitary method deals with finding a quantity in relation to the magnitude of another quantity. The value of the first quantity is first obtained to find the value of any other required quantity that shares a specific relation with the first quantity. For example, if 1 bag of apples costs 10 rupees, then 3 bags of apples would cost 3x10=30 rupees. The chapter also covers the topics of direct variation and inverse variation. The concept of the unitary method is also used in the subjects of physics and chemistry, which makes the topic very important to understand and master. It provides an efficient calculation tool that helps to solve various questions in different subjects.
Chapter 10- Percentage deals with converting a fraction into a percentage and converting a percentage into a fraction. It teaches the students how to represent a percentage in a ratio and convert a given ratio into a percentage. The chapter concludes with the concept of converting a given percentage into its decimal form. The chapter also explains how the method of percentage is efficient in converting information. Finally, there are various practical problems based on the concept of percentage given for practice.
Chapter 11- Profit and Loss deal with the cost price and selling price of the product. It explains the concepts of economy and how the prices of different commodities at which they were bought and sold lead to a profit or a loss. The cost at which a commodity is bought is called its cost price. Similarly, the price at which a commodity is sold is called its selling price. If the cost price is greater than the selling price, then the person involved is said to have suffered a loss. Similarly, if the cost price is less than the selling price, the person involved is said to have gained a profit. The chapter also discusses the concepts of gain percentage and loss percentage.
Chapter 12- Simple Interest deals with the system of increment of money based on the rates of interest when some amount of money is deposited, or a loan is taken. For example, if we need to borrow money from a bank or a moneylender for a specified period, we have to pay back the money we borrowed and some additional money for using the lenders' money. The additional money mentioned in this example is calculated by adding the interest at which we borrowed the money. The chapter also explains the use of terms such as principal, interest, amount etc. This chapter is necessary as it is applicable in real-life situations, and knowledge about it would make our lives easier.
Chapter 13 deals with vertically opposite angles, supplementary angles, complementary angles, adjacent angles, and linear pair angles. For example, two angles are supplementary if their magnitudes add up to 180 degrees. Similarly, two angles are said to be complementary if their magnitudes sum up to be 90 degrees. Finally, adjacent angles are the angles lying adjacent to a line. These concepts hold many applications in the chapters that follow, and thus, students must understand these concepts thoroughly.
This chapter deals with the properties of parallel lines. If two lines are parallel, they lie in the same plane, and they do not intersect, but they extend. It is assumed that the parallel lines meet at infinity. The chapter also includes the distance between parallel lines, transversal, angles formed when a transversal cuts two parallel lines. The relationship between these angles formed, the properties of certain angles with respect to each other are also discussed. These relationships and properties provide the aid needed to find the magnitude of these angles.
We explore properties of triangles, such as naming triangles alongside their sides, calculating their angles, calculating their angles sum, calculating exterior and interior opposite angles, calculating the sum of the angles of triangles and applying Pythagoras' theorem in this chapter.
Chapter 16- Congruence deals with the concept of determining if the two given triangles are exactly similar with the same sides and angles or not. It helps determine the congruence of the triangles. Congruence exists when two figures have the same size and shape. In this chapter, the concepts of congruent figures, congruence of triangles, and congruence and area are discussed.
Chapter 17- Constructions deal with the methods, and detailed procedures required to construct different figures based on the type of properties and the requirements asked in the questions. The chapter has more of a hands-on approach, and it involves solving questions to understand each type of construction. It is based on the construction of lines that are inclined to another line at a certain angle or are perpendicular bisectors of another line. The chapter also includes angular bisectors and angular bisectors of angles formed by the sides after constructing a triangle.
Chapter 18- Reflection and Rotational Symmetry deals with the concepts of reflection and rotational symmetry in which a figure is said to be symmetrical about a line if it is identical on either side of the line of symmetry. A figure is said to have rotational symmetry if the figure remains the same when rotated about a certain point. For example, in the case of 'I', there is a line of symmetry.
In Chapter 19-Three Dimensional Shapes, solids are discussed, such as cuboids, cubes, cones, cylinders, and spheres. Any figure or any object or any shape with three dimensions such as length, breadth and height is called a three-dimensional shape. The properties of these shapes and the important parameters associated with these solid figures are discussed.
Chapter 20- Mensuration deals with problems related to the area of a rectangle, a square, parallelograms, triangles and trapezium etc. The chapter explains the formulae required to calculate the volumes and areas of the entities mentioned above in detail. These concepts experience numerous applications in real-life problems, and thus the thorough understanding of these topics is paramount for easier study sessions in future classes.
Chapter 21- Collection and Organization of Data (Mean, Median, Mode) deals with different grouped or ungrouped data sets. The present-day is information oriented. Therefore, we need information in the form of numerical figures called data. The mean of a given set of data is the average of the magnitudes of the data provided. The mode is the maximum frequency of occurrence of a particular entity in the given set of data. The median is calculated by a few formulae formulated by the great mathematicians in the past, but we shall discuss only 1 method in this chapter. The topics covered in this chapter are ungrouped data, mean of a tabulated data, the median of ungrouped data, the median of discrete series, mode of ungrouped data.
Chapter 22- Bar Graphs give a pictorial representation of the numerical data provided in the form of rectangles comprising equal width and varying heights. This chapter deals with depicting a grouped or ungrouped set of data in bar graphs to better represent and understand the data procured. In addition, this chapter teaches us how to draw bar graphs and the different types of graphs prepared with a given set of data.
Chapter 23- Probability deals with the concept of chance, which can be explained as the possibility of an event based on the previous occurrences and favourable outcomes. The probability of an event can be expressed as the number of occurrences of a targeted event divided by the number of occurrences and the number of failures of its occurrence.
Ques 1. Why are RS Aggarwal solutions for class 7 Maths important?
Mathematics revolves around calculations, formulas, concepts and numbers, but the basis of all these is the core understanding and logic. The RS Aggarwal's Solutions for Class 7 Maths by the Aakash Institute gives on-point explanations and trains the students to answer any question without any difficulty. It develops a logical aptitude and thinking in the students' minds where the students unconsciously concentrate on the how and why of the questions rather than just the answer. It ensures to clear all major doubts that the student might have regarding any topic.
Ques 2. Where to find and download RS Aggarwal solutions for class 7th maths?
The Aakash RS Aggarwal Solution for Class 7 Maths is available on the Aakash website. The solutions are given topic-wise for easy reference. They can also be downloaded as one PDF file. Aakash also provides PDF files of RS Aggarwal Solutions for Class 7 for all subjects.