NCERT Solutions for Class 7 Maths- Are you stuck while solving your class 7 maths homework questions? Wish you had the solutions to NCERT for class 7 maths nearby to help you answer the questions? Well, in this article you will find all the CBSE NCERT solutions for class 7 maths starting with the type of numbers, simple equations, geometry of triangles and other solid shapes as well all the chapters in the textbook. Class 7 is the start to cementing a strong foundation in maths as what you learn here will help you build and score more in class 8 and then class 9 and so on. Calculating areas and perimeters are just one tiny part available in the solutions for class 7 NCERT maths. Not just maths, NCERT solutions for other subjects will also help you prepare well.
These free solutions of NCERT class 7 maths will not just help you in your final examination but also in the olympiads if you are participating in them. The class 7 NCERT maths textbook deals with 15 chapters including numbers, basic geometrical ideas, shapes, integers, fractions, decimals, data handling, mensuration, algebra, ratio and proportion, symmetry and practical geometry, etc. NCERT solutions for class 7 facilitate an easy understanding of concepts and give you easy methods to solve all questions that may be asked in the exam. Since maths is a scoring subject, solutions of NCERT class 7 maths would be an ideal tool that will help you in your goal to excel at school.
To get the solutions of any chapter of class 7 maths, click on the chapter name in the below list and you are good to go.
CBSE NCERT solutions for class 7 maths chapter 1 Integers: The chapter 1 of class 7 maths contains 4 exercises and solutions of NCERT class 7 maths chapter 1 are provided here free of any cost. We already had an introduction to integers in NCERT solutions for class 6. Here in class 7, we will study the operations on integers and their properties. That is addition, subtraction, multiplication, and division of integers and their properties.
Solutions of NCERT class 7 maths chapter 2 Fractions and Decimals: In this chapter, we will study how to add, subtract, divide and multiply fractions and also about reciprocal of fractions. The NCERT solutions for class 7 maths chapter 2 also include the concepts of multiplication and divisions of decimals and how to handle the multiplication and divisions with multiples of 10. The chapter has a total of 7 exercises and you will find all the solutions to your questions by clicking the above link.
NCERT solutions for class 7 maths chapter 3 Data Handling: Chapter 3 of NCERT maths has a total of 4 exercises and you will find the solution of each exercise here. In our daily life, we come across various type of data, for example, teachers collect the marks of all students in the class. They will arrange it in table for easy calculations and interpretations. Teachers will be able to calculate the highest and lowest score in the class, most frequently occurring score (mode), arithmetic mean of the marks, etc. In this chapter, we will study arithmetic mean, median and mode of collected data, representation of data using bar graph and definition of probability.
CBSE NCERT solutions for class 7 maths chapter 4 Simple Equations: In this chapter, there are a total of 4 exercises and the solutions to all are provided. This lesson is all about what an equation is, how to solve simple equations and how can we use equations in our daily life. In NCERT solutions for class 7 maths, you will study the solutions of some real-life problems using a simple equation. This is a very important chapter for the upcoming higher classes also.
Solutions of NCERT class 7 maths chapter 5 Lines and Angles: This is one of the basic chapters of geometry and you should give special attention to this chapter because understanding geometry in higher classes will be dependent on how well you understand this lesson. The chapter introduces the concepts of lines and angles. These NCERT solutions for class 7 maths are also for parallel lines, what are intersections of lines and the different types of angles such as complementary angles, alternate angles, etc. The chapter has only 2 exercises and all the solutions to the exercises can be downloaded by clicking the above link.
NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties: Here you will have 5 exercises with detailed solutions to each and every question. This chapter is also an important part of geometry. You will study different types of triangles - equilateral, right-angled and isosceles. The properties of triangles will also be taught. At the end of the chapter, an important concept known as Pythagoras theorem will be taught. This has relevance even in class 8, 9 and 10 and further too.
CBSE NCERT solutions for class 7 maths chapter 7 Congruence of Triangles: This is another chapter about triangles which deals with congruency of two triangles. Two figures are said to be congruent if they have the same size and shape. We will study the congruent triangle and what are the different criteria used to check if a given triangle is congruent or not congruent. The concepts learnt in this chapter will help build a strong base in geometry. You will have 2 exercises here and can use the solutions to understand them.
Solutions of NCERT class 7 maths chapter 8 Comparing Quantities: This NCERT chapter is very important not only for the exam but also for our daily life calculations. The chapter talks about the concepts of ratio, percentage, profit and loss, and simple interest. For example, let's assume your father buys a mobile for 5000 rupees and after using it for a year he sells it to someone for 3000 rupees then it means your father loses 2000 rupees. There are 3 exercises to solve in this chapter. You can download all the free solutions for these exercises and learn better with their help.
NCERT solutions for class 7 maths chapter 9 Rational Numbers: After learning about Integers in chapter 1 you will get to know another type of numbers in chapter 9 which are rational numbers. So what are rational numbers? A number in the form of p/q where p and q are integers and q is not zero can be termed as rational. Every integer can be expressed as a rational number. Every fraction is a rational number but every rational number need not be a fraction since fractions contain only positive integers. We will study the concept of rational numbers and operations on rational numbers in this chapter. The chapter has 2 exercises and you will find all the NCERT solutions here.
CBSE NCERT solutions for class 7 maths chapter 10 Practical Geometry: Here, you will learn about certain basic constructions using a ruler, compass, and protractor. The construction of the parallel line to a given line at some point outside the line and construction of triangles using the concept of congruent triangles will be taught. Construction of triangle using SAS, ASA, SSS and RHS criteria of congruence will also be taught in this leasson.
Solutions of NCERT class 7 maths chapter 11 Perimeter and Area: You will study about perimeter and area of the rectangle, triangle, and parallelogram here. If we have to calculate how much sheet is required to cover a roof in the shape of a parallelogram we have to calculate the area of the roof. If you want to frame a picture in the shape of a triangle then you have to calculate the perimeter of the triangle to know how much length of the frame is required. There are many real-life problems mentioned in the chapter for which solutions have also been given. Youo can use the given solutions for all the 4 exercises here to understand and get better with the lesson and concepts.
NCERT solutions for class 7 maths chapter 12 Algebraic Expressions: How to form an algebraic expression, what are terms and factors of algebraic expressions, what is like and unlike terms, what is monomial, binomial, trinomial and a polynomial and operations on algebraic expressions are some topics taught in this lesson. You can check out the solutions to all the 4 exrcises that are given in the textbook.
CBSE NCERT solutions for class 7 maths chapter 13 Exponents and Powers: A very large or a very small quantity can be expressed using a base and power of the base. For example, 1000000000 can be written as 10^{9}. This chapter teaches about exponents, law of exponents and how to solve problems using them. With the solutions for the 3 exercises given in the textbook, youo can master the concepts well.
Solutions of NCERT class 7 maths chapter 14 Symmetry: Concept of symmetry is necessary for designing different beautiful patterns etc . You will be taught the line of symmetry, mirror images and also about rotational symmetry in this chapter. You have to solve 3 exercises in this chapter. An example of symmetry is given in the figure below.
NCERT solutions for class 7 maths chapter 15 - Visualising Solid Shapes: In your daily life, you come across various plane and solid shapes like a cap, a bat, a ball, etc. These are different shapes and you will be taught to visualize different solid shapes such as a sphere, cylinder, cone, cube, etc with this lesson. You will also study about the horizontal and vertical cross-sections of solids and also the shadow of solids. The lesson has a total of 4 exercises with detailed solutions to use.
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4. The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:
(i) In which subject, has the child improved his performance the most?
(ii) In which subject is the improvement the least?
(iii) Has the performance gone down in any subject?
Put into another form using :
A shop has 500 items, out of which 5 are defective. What per cent are defective?