Ncert Maths 11 Supplementary Solutions Chapter 10
NCERT Solutions for Class 7 Maths
NCERT solutions for class 7 maths comprises solutions and analysis of all NCERT textbook sums based on triangles, area, and perimeter of different shapes, data handling, integers, etc. These class 7 maths NCERT solutions are prepared by math geniuses to cater to students of all intelligence levels. Thus, helping CBSE students to develop auxiliary skills and mathematical acumen.
NCERT solutions class 7 maths are extremely helpful for students preparing for home as well as competitive exams. These solutions provide an opportunity for students to develop a robust understanding of mathematics in grade 7. CBSE NCERT solutions for class 7 maths can also be referred to by students belonging to a different board who want to have ironclad mathematical concepts.
NCERT Solutions for Class 7 Maths PDF Download
NCERT Solutions for class 7 maths are explained using the best and most precise techniques. These chapter-wise analysis of questions are available for free pdf download. Depending on whatever topic you are studying, the links to all the solutions are given below.
Class 7 Maths NCERT Solutions Chapter 1 to 15
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| NCERT Solutions Class 7 Maths Chapter 1 Integers | |
| NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals | |
| NCERT Solutions Class 7 Maths Chapter 3 Data Handling | |
| NCERT Solutions Class 7 Maths Chapter 4 Simple Equations | |
| NCERT Solutions Class 7 Maths Chapter 5 Lines and Angles | |
| NCERT Solutions Class 7 Maths Chapter 6 The Triangle and its Properties | |
| NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles | |
| NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities | |
| NCERT Solutions Class 7 Maths Chapter 9 Rational Numbers | |
| NCERT Solutions Class 7 Maths Chapter 10 Practical Geometry | |
| NCERT Solutions Class 7 Maths Chapter 11 Perimeter and Area | |
| NCERT Solutions Class 7 Maths Chapter 12 Algebraic Expressions | |
| NCERT Solutions Class 7 Maths Chapter 13 Exponents and Powers | |
| NCERT Solutions Class 7 Maths Chapter 14 Symmetry | |
| NCERT Solutions Class 7 Maths Chapter 15 Visualising Solid Shapes | |
To ensure that you are well-versed with all topics at the time of an examination, it is imperative to revisit the solutions periodically. These class 7 maths NCERT solutions aid students in developing a better understanding of the topic at hand. You can download the NCERT textbook given below and find exemplary questions on fractions, solid shapes, triangles, and so on.
☛ Download Class 7 Maths NCERT Book
NCERT Solutions for Class 7 Maths Chapter 1
NCERT solutions for class 7 maths chapter 1 integers teach young minds how to work with number lines while performing mathematical operations on signed integers. The most important concepts falling under this chapter are the properties of arithmetic operations such as the addition of two numbers.
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Important Formulas:
- Commutative Property: a + b = b + a; a × b = b × a
- Associative Property: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c)
- Distributive Property: a × (b + c) = a × b + a × c
- Multiplicative Identity: 1 × a = a × 1 = a
- Additive Identity: a + 0 = 0 + a = a
Class 7 Maths Chapter 1 Integers
Topics Covered: Class 7 maths NCERT solutions cover problem sums on integer operations, closure property, commutative property, distributive property, associativity, and additive identity. It also encompasses the multiplication and division of two or more signed integers. The chapter has a total of 30 questions out of which 12 are easy, 8 are moderate and 10 are difficult.
NCERT Solutions Class 7 Maths Chapter 2
NCERT solutions class 7 maths chapter 2 fractions and decimals are designed to understand the different categories of fractions and how to work with them. Students are further taught the methods of multiplying fractions and dividing fractions. The succeeding sections deal with decimals and performing arithmetic operations on them.
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Chapter 2 Preparation Tips:
NCERT solutions class 7 maths chapter 2 fractions and decimals form the basis for several sister topics hence, students need to build a strong understanding of this topic. For this purpose, they can follow the given tips to streamline their studying process.
- Try to apply the concepts to daily-life problems.
- Revise theories taught in previous grades.
- Regularly practice questions.
Class 7 Maths Chapter 2 Fractions and Decimals
Topics Covered: Multiplication and division of fractions by various kinds of numbers such as fractions or whole numbers, along with simplifying fractions to their lowest form fall under this chapter. Other important topics include comparing decimals, multiplication, and division of decimals as well as associated word problems.
Total Questions: Chapter 2 has 48 questions in total which are categorized as 23 easy sums, 17 medium level, and 8 tough problems.
Class 7 Maths NCERT Solutions Chapter 3
Class 7 maths NCERT solutions chapter 3 data handling teach students how to organize data before performing computations on it and graphically representing it. Arithmetic mean, range, mode, and median are measures of central tendency that students have the opportunity to learn from these solutions.
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Class 7 Maths Chapter 3 Data Handling
Topics Covered: Determining the arithmetic mean, range, mode, median are the major statistical topics covered under class 7 maths NCERT solutions . Furthermore, the representation of data using bar graphs and double bar graphs is also included in this chapter.
Total Questions: There are 24 questions in class 7 maths chapter 3 data handling out of which 5 are simple problems, 15 are of moderate difficulty and 4 are tough.
NCERT solutions for class 7 maths chapter 3 provides a bird's eye view of how to collect and organize data using tables. It also aids students in understanding the tools required to perform computations on data, presenting it in a graphical format, and drawing conclusions from it.
NCERT Solutions for Class 7 Maths Chapter 4
NCERT solutions for class 7 maths chapter 4 simple equations give an insight into how to interpret statements, convert them into the form of an equation, and subsequently solve it. Thus, students get a good idea of how to apply simple equations to practical situations.
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Class 7 Maths Chapter 4 Simple Equations
Topics Covered: Converting a statement to an equation, finding the value of an equation by addition and subtraction on both sides, or transposing terms and corresponding word problems fall under the scope of class 7 maths NCERT solutions. The chapter has 18 questions with 6 long answer type sums, 5 medium, and 7 easy problems.
NCERT Solutions Class 7 Maths Chapter 5
NCERT solutions for class 7 maths chapter 5 lines and angles introduce young minds to the formation of different types of angles and their properties, the intersection of lines and the pairs of angles formed as well as the relationship between such angles.
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Class 7 Maths Chapter 5 Lines and Angles
Topics Covered: Identifying complementary angles, supplementary angles, adjacent angles, linear pairs, and vertically opposite angles. Furthermore, transversal and pairs of lines are essential topics within this chapter. It consists of 20 questions. 3 are easy, 9 are long answer-type and 8 are moderately challenging problems.
NCERT Solutions Class 7 Maths Chapter 5 Summary:
The chapter gives a quick recap of line segments, ray, and a line. This chapter also teaches students about transversals, categorizes the different types of angles, and gives a relationship among these angles.
Class 7 Maths NCERT Solutions Chapter 6
Class 7 maths NCERT solutions chapter 6 the triangle and its properties give students an in-depth knowledge of the elements of a triangle. It presents students with the important angle sum property of a triangle and the Pythagoras theorem. Moreover, this chapter also includes an explanation of the isosceles and equilateral triangles.
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Class 7 Maths Chapter 6 Triangle and its Properties
Topics Covered: Drawing the median and altitude of triangles, determining the exterior angles, and finding the value of unknown angles using the angle sum property. Finally, topics associated with equilateral, isosceles, and right-angled triangle is also covered in this chapter.
Total Questions: Class 7 maths chapter 6 has 21 well-research sums that can be split into 4 tough problems, 9 moderately complex, and 8 easy questions.
NCERT Solutions for Class 7 Maths Chapter 7
NCERT solutions for class 7 maths chapter 7 congruence of triangles starts with giving an introduction to the meaning of congruence between any two figures. Besides this, the chapter discusses the different criteria of congruence between triangles and how to apply them effectively.
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Class 7 Maths Chapter 7 Congruence of Triangles
Topics Covered: The congruence of triangles using SSS, SAS, ASA, and RHS criteria is the most important topic covered in this chapter. The chapter has 14 questions. 9 are simple sums based on the congruence theorems, 2 are moderately tough and 3 are complex problems.
Class 7 Maths NCERT Solutions Chapter 8
Class 7 maths NCERT solutions chapter 8 comparing quantities give students the tools required to draw comparisons between two or more quantities and make inferences about them using equivalent ratios. This chapter also includes various concepts based on percentages and how to apply them to real-life problems.
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Class 7 Maths Chapter 8 Comparing Quantities
Topics Covered: Using equivalent ratios to determine the value of unknown quantities, converting fractional numbers and decimals to percentages, finding the percent increase or percent decrease, as well as profit and loss and annual interest questions.
Total Questions: Students can find a total of 24 questions in class 7 maths chapter 8 comparing quantities out of which 8 are effortless, 5 are of medium level and 11 require a certain degree of skill from a student. Studying NCERT solutions class 7 maths chapter 8 students will be adept at dealing with converting ratios to percentages, computing interest, and using different mechanisms to compare quantities.
NCERT Solutions for Class 7 Maths Chapter 9
NCERT solutions for class 7 maths chapter 9 rational numbers establish a foundation for the concept of rational numbers. Students have the opportunity to learn about the representation of rationals on a number line, comparison, and reduction of rationals to their standard form, plus performing operations on rational numbers.
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NCERT solutions class 7 maths chapter 9 can be best learned by following the tips given below.
- Revising concepts of HCF and LCM from previous classes for reduction of rationals to the standard form.
- Improving calculation speed by regular practice so as to power through questions based on arithmetic operations
Class 7 Maths Chapter 9 Rational Numbers
Topics Covered: Finding rationals between two rational numbers, number line representation and comparison of rationals, as well as multiplying, dividing, adding, and subtracting rational numbers. A set of 14 questions comprise chapter 9 rational numbers. 5 are fairly straightforward, 7 are intermediate, and 2 are difficult problems.
NCERT Solutions Class 7 Maths Chapter 10
NCERT solutions class 7 chapter 10 maths practical geometry edifies students on how to properly use geometrical instruments to construct transversals and parallel lines. Additionally, building triangles using the SSS, SAS, ASA, and RHS criteria are also part of this chapter.
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Class 7 Maths Chapter 10 Practical Geometry
Topics Covered: Class 7 maths NCERT solutions incorporate vital topics such as constructing parallel lines and the transversals through them, as well as using the constraints given by the SSS, SAS, ASA, and RHS criteria to construct triangles. Chapter 10 practical geometry has 16 sums on the construction of figures out of which 7 are straightforward questions, 5 are complex and 4 are medium level.
NCERT Solutions for Class 7 Maths Chapter 11
NCERT solutions for class 7 maths chapter 11 perimeter and area educate on the steps required to find the area and perimeter of 2D shapes using different parameters. Moreover, students are given a step-wise explanation on how to employ these concepts while solving word problems.
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Important Formulas:
- Perimeter of a square = 4 × side
- Perimeter of a rectangle = 2 × (length + breadth)
- Area of a square = side × side
- Area of a rectangle = length × breadth
- Area of a parallelogram = base × height
- Area of a triangle = ½ × base × height
- Circumference of a circle = 2πr
- Area of a circle = πr2
Class 7 Maths Chapter 11 Perimeter and Area
Topics Covered: Determining the area and perimeter of squares, rectangles, triangles, parallelograms, and circles. This chapter also covers converting units and applying the concepts mentioned above to real-life problems.
Total Questions: Chapter 11 perimeter and area has 44 well-curated questions. 18 are straightforward formula-based sums, 20 are of moderate complexity, and 6 high-level problems.
Class 7 Maths NCERT Solutions Chapter 12
Class 7 maths NCERT solutions chapter 12 algebraic expressions give an idea of what an expression means and the components that make up an algebraic expression. Students can use these solutions to grasp concepts such as solving polynomials, categorizing, and performing arithmetic operations on them.
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Class 7 Maths Chapter 12 Algebraic Expressions
Topics Covered: Using algebra formulas to find their value, along with performing addition and subtraction on general expressions of algebra. The chapter consists of 25 sums with 8 simple questions, 10 are slightly tougher and 7 complex problems.
NCERT solutions for class 7 maths chapter 12 covers a plethora of concepts such as the types of polynomials, addition, and subtraction of like terms as well as finding the value of given algebraic identities.
Class 7 Maths NCERT Solutions Chapter 13
NCERT solutions for class 7 maths chapter 13 exponents and powers describe how to convert an exponent into a number and vice versa. These solutions give the procedure of using laws of exponents and applying them to problems. In addition to this, using exponents to express large numbers is also detailed in this chapter.
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Class 7 Maths Chapter 13 Exponents and Powers
Topics Covered: Expressing a number in the form of an exponent, various exponentiation laws, and showing how very large or small numbers can be converted into a standard form using exponents. Chapter 13 exponents and powers cover a total of 17 exemplar problems that be divided into 6 easy sums based on the laws, 7 are challenging and 4 are medium-level questions.
NCERT Solutions for Class 7 Maths Chapter 14
NCERT solutions class 7 maths chapter 14 symmetry provides students with the best possible explanation of concepts related to symmetry such as line of symmetry, rotational symmetry, and how to use them to create designs in our day-to-day lives.
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Topics Covered: Questions based on lines of symmetry, identifying rotational symmetry, and a combination of these topics forms a part of class 7 maths NCERT solutions.
Total Questions: Chapter 14 symmetry has a total of 19 sums. 4 are long answer types, 10 are moderately difficult and 5 are simple problems.
NCERT Solutions for Class 7 Maths Chapter 15
NCERT solutions for class 7 maths chapter 15 visualizing solid shapes help students instill the foundation required in higher grades to solve sister topics such as mensuration. It teaches students how to identify the different elements of a solid figure.
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NCERT solutions for class 7 maths chapter 15 is of great use especially in the upcoming classes. Students can follow the tips given below to enhance their learning.
- Try to apply the methods used in the textbook to real-life objects.
- Solve numerous questions for practice to develop a strong understanding of the subject.
Class 7 Maths Chapter 15 Visualising Solid Shapes
Topics Covered: Identifying nets with their corresponding solids, isometric and oblique sketches as well as viewing different sections of a solid using various techniques.
Total Questions: Chapter 15 visualizing solid shapes has 14 well-researched questions. 9 are very simple, 3 are slightly difficult while 2 are complex sums.
Class 7 Maths NCERT Solutions Important Formulas
Formulas are some of the most important expressions in mathematics as they serve to increase the speed and accuracy of solving questions. It gives a concise way of conveying vital information using symbolic representations. Thus, students need to understand and memorize several formulas to successfully solve problems. The important formulas covered in NCERT solutions for class 7 maths are listed below.
Proportion Formulas:
- Addition: a/b + c/d = (ad + bc)/bd
- Subtraction: a/b - c/d = (ad - bc)/bd
Area:
- Area of Circle = πr2
- Area of Rectangle = l × b
Interest:
- Simple Interest, S.I = PTR/100, where P = Principal amount, T = Time, R = Rate of interest per annum
Importance of NCERT Solutions for Class 7 Maths
Class 7 Maths NCERT solutions are extremely helpful for CBSE students as they get an overview of the best techniques that can be used to solve any NCERT questions. The benefits of NCERT solutions for class 7th maths are given below:
- Exam Preparation: During examination days it becomes very difficult for students to solve every question. As every sum is equally important students need a quick run-through of all problems. NCERT solutions for class 7 maths are the perfect way to achieve this goal. They provide a step-wise and detailed analysis of all problems. Students can skim through them and do a quick revision on how to solve each question.
- Time-management: As there are a lot of chapters that are encompassed in the class 7th syllabus hence, students must manage their time well. These class 7 maths NCERT solutions help in completing the coursework well within the given limit. It also leaves enough time for revision.
- Solving Doubts: Many times when a student is attempting a textbook sum he might not be able to solve it completely. This could be due to a careless mistake or a shaky concept. NCERT solutions class 7th maths are precise and well explained thus, clearing any doubts that a student might have.
FAQs on NCERT Solutions for Class 7 Maths
Why are NCERT Solutions for Class 7 Maths Important?
Young minds need to have reliable guides while studying the class 7 maths syllabus. The NCERT solutions for class 7 maths provide an excellent way to accomplish this goal. Students can not only cross-check their answers but also build a sound understanding of the subject. Students can use these well-researched class 7 maths NCERT solutions to improve their foundational knowledge of class 7 mathematics.
How Students can Utilize Class 7 Maths NCERT Solutions?
To get the most out of the class 7 maths NCERT solutions it is advisable to first ensure that the student understands the theoretical concepts properly. Only after they build their knowledge base consisting of the important theories and formulas for that topic they should proceed to use these NCERT solutions class 7 maths and attempt problems.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths?
Every topic within the scope of mathematics is interlinked. Thus, students must practice every question in the NCERT solutions class 7 maths to ensure that there is no gap in learning. The best results can only be obtained through due diligence and constant revision.
Do I Need to Make Notes while Referring to NCERT Solutions for Class 7 Maths?
Students make notes to remember certain points related to a question of concept. Thus, while revising NCERT solutions for class 7 maths students can use these as references and speed up the learning process. Thus, it is always recommended to consult your notes while studying.
Where Can I Get Chapter-wise NCERT Solutions for Class 7 Maths?
Students have full access to easy-to-use exercise-wise NCERT solutions for class 7 maths in the links mentioned above. Moreover, these pdfs are free to download and are compatible with mobile screens.
What are the Important Topics Covered in Class 7 Maths NCERT Solutions?
While learning a subject like math, as a thumb rule, no chapter should be skipped. Thus, all topics within the lessons covered by class 7 maths NCERT solutions are equally important. It is necessary to be well-versed with all topics to score the best possible marks in any examination.
Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 7 Maths?
Students are free to follow any method apart from the ones used in the NCERT solutions class 7 maths. However, they need to be universally recognized and simple tricks used to solve questions in competitive exams cannot be used.
Why Should I Practice NCERT Solutions for Class 7 Maths Regularly?
The only way to master a subject is by practicing it regularly. Similarly, students should practice NCERT solutions class 7 maths routinely as it helps them stay in touch with the subject. This ensures that students do not forget any concept. Additionally, it also helps students to memorize math formulas easily.
What are the Benefits of NCERT Solutions Class 7 Maths for CBSE Students?
NCERT solutions Class 7 maths help CBSE students to prepare for their exams as the syllabus is based on the NCERT textbooks. Apart from this, these solutions instill a deep-seated knowledge of the subject and help students clear their doubts immediately if they hit a roadblock while solving some problems.
Why Choose Cuemath for Class 7 Maths NCERT Solutions?
Cuemath is the best website available for class 7 Maths NCERT solutions as they have been hand-picked and prepared by math experts such as IITians. These math wizards do proper research to find the most precise and accurate method to solve any question. A student is sure to excel in any exam by using these solutions as references.
Ncert Maths 11 Supplementary Solutions Chapter 10
Source: https://www.cuemath.com/ncert-solutions/class-7-maths/