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case study class 7 maths pdf

CBSE 7th Standard CBSE Mathematics question papers, important notes , study materials , Previuous Year questions, Syllabus and exam patterns. Free 7th Standard CBSE Mathematics books and syllabus online. Practice Online test for free in QB365 Study Material. Important keywords, Case Study Questions and Solutions. Updates about latest education news and Scholorships in one place.

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CBSE Case Study Questions for Class 6 – 10, 12 for Maths, Science, SST

Cbse case study questions for maths, science, social science.

CBSE Case Study Questions:   Case Study Questions for all Class 1, 2, 4, 5, 6, 7, 8, 9,10, 11 and 12 by Experienced Teachers. We Net Ex. Arranged here Important Case Based Questions for CBSE Board – Maths, Science, Social Science, English.

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CBSE Class 7 Maths Sample Paper 2023-24 PDF (Free Download)

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Scoring high marks in CBSE Class 7 Maths is not tough if one prepares for the exam properly. Students should finish their Maths syllabus earlier and then practice CBSE Class 7 Maths Sample Paper to understand the important aspects of question papers.

Our subject matter experts analyse the CBSE Class 7 Maths Syllabus, previous year question papers, and refer to the chapter’s end questions to develop the CBSE Class 7 Maths Sample Paper. It is one of the best study tools that help class 7 students to prepare for their Maths exam. 

Here on this page, we have mentioned the class 7 CBSE sample paper Maths, so that students can download them and use them to solve various sets of questions to develop a strong base in the Maths subject to perform score better marks in the exam.

Sample Question Paper for Class 7 CBSE Maths with Solutions

To tackle the difficult questions and to cross check the written answers, Sample Question Paper for Class 7 CBSE Maths with Solutions are ideal. Because subject experts have prepared the solutions in an easy to understand manner where each Maths question has been solved in step by step method.

The solution is also very helpful in solving those Maths questions where students feel stuck. In other words, the Sample Question Paper for Class 7 CBSE Maths with Solutions is an ultimate study resource that allows students to prepare well for their upcoming annual examination. Every single student of CBSE Class 7 should refer to the sample question papers with solutions, during the classroom or final exam preparation. In the given list here, we have CBSE class 7 Maths sample paper available for free of cost along with the answers.

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Set Wise Sample Question Paper for Class 7 Maths

Students shouldn’t suffer while accessing and solving the Sample Question Paper for Class 7 Maths, therefore, here at Selfstudys, we have mentioned the Set Wise Sample Question Paper for Class 7 Maths. These sample question papers help students to solve as many questions as possible.

Along with that, practicing these sample papers enable the students to build confidence and be prepared for the Maths examination to score higher marks. Links to download class 7 CBSE sample paper Maths are available here in this page.

Why Does Someone Need CBSE Class 7 Maths Sample Paper?

Those who want to understand their level of exam preparation and want to practice lots of Maths questions can refer to the CBSE class 7 Maths sample paper. It is also ideal for the students who want to level up their grip in Class 7 Maths topics. 

However, the CBSE Class 7 Maths Sample Paper is most importantly a requirement for the students who are preparing for their SA1, SA2 or annual exam. It is their requirement because solving the sample question papers of Class 7 Maths help them to understand the exam pattern, marking scheme and the question’s type. 

Is It Worth To Use CBSE Class 7 Maths Sample Paper PDF?

Yes, it is worth using CBSE Class 7 Maths Sample Paper PDF as it allows students to be thorough with the actual annual exam questions. Referring to the class 7 CBSE sample paper Maths is also worthy as it helps students to grab all the fundamental details about the Maths exam.

Also, referring to the CBSE Class 7 Maths Sample Paper PDF, helps students to deal with all kinds of expected questions.

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The download process of CBSE Class 7 Maths Sample Paper is very simple - follow the step by step method below, to download the Class 7 Maths Sample Papers in PDF file format.

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Use CBSE Class 7 Maths Sample Paper To Know About Question Papers Before Appearing in the Exam

In order to appear in the final examination, all Class 7 students should be able to optimise their time. Also, they should have a proper understanding of the questions types, which is possible by solving or practising the CBSE Class 7 Maths sample papers.

Therefore, solving the CBSE Class 7 Maths Sample Paper before appearing in the exam is important and it is advised too.

Benefits of Practicing CBSE Class 7 Sample Paper of Maths

During the annual exam preparation, students should look for all kinds of study materials that can help them in the preparation process. Class 7 CBSE sample paper Maths is one of those study resources that benefits students when they are doing the last minute exam preparation. A few benefits a student will get from Practicing CBSE Class 7 Sample Paper of Maths are -

  • A quick revision to the CBSE Class 7 Syllabus
  • A thorough practice to the std 7 Maths questions
  • An opportunity for free self-evaluation

Study Tips for Final Exam Preparation Using Sample Question Paper for Class 7 CBSE Maths with Solutions

In this section, we will cover a few study tips for the final exam preparation using sample question paper for class 7 CBSE Maths with solutions. Following these study tips students can enhance their learning as well as they will get a roadmap to cover their syllabus and CBSE class 7 sample paper Maths to perform better in the final exam -

  • Note down all the chapters and subtopics you need to cover in Class 7 Maths.
  • Read every single chapter thoroughly as questions in class 7 CBSE sample paper Maths can be asked from anywhere from the chapter.
  • Solve chapter’s end questions simultaneously so that answering the questions in the actual exam can be less hectic.
  • Once everything is done including, a thorough revision and syllabus completion, solving CBSE class 7 Maths sample paper is advised.
  • While solving the Maths questions from Class 7 Sample papers, referring to the sample question paper for class 7 CBSE Maths with solutions are suggested as it will help in cross-checking the answers and assist in understanding the methods to solve the questions.

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Important Questions for CBSE Class 7 Maths Chapter 9 - Rational Numbers

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  • Chapter 9: Rational Numbers

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CBSE Class 7 Maths Chapter - 9 Important Questions - Free PDF Download

Here, we are presenting important questions for Class 7 Maths Chapter 9 for the students preparing for Class 7 Maths exams but unable to prioritize questions for Chapter 7 Rational Numbers. Refer to Vedantu’s important questions on Rational Number for Class 7 that are prepared by our subject experience teachers after extensive research of the topic and analysis of the past exam trends.

By practicing the questions on Rational numbers for Class 7, you can build your confidence to attempt the questions as you can evaluate your answers with the solutions given and make necessary corrections wherever required. Students are recommended to practice the important questions for Class 7 Maths Chapter 9 repeatedly to understand how tricky problems are solved and to enhance the speed of solving problems, which in turn help in strengthening the time management skills.

Read the article below to know how important questions for rational numbers are effective for your exam preparation. Register Online for NCERT Solutions Class 7 Science tuition on Vedantu.com to score more marks in the CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for better solutions can download Class 7 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

Study Important Questions for Class 7 Maths Chapter 9 - Rational Numbers

1 Mark Questions

1. Reduce \[\dfrac{55}{66}\] into the standard form.

Ans: We know that both $55$ and $66$ are divisible by $11$,

$\dfrac{55\div 11} {66\div 11} $

$ =\dfrac{5}{6} $

2. Fill in the blanks.

(a)$\dfrac{5}{6}.....\dfrac{9}{5}$

(b)$\dfrac{3}{4}......\dfrac{1}{2}$

(c)$\dfrac{2}{5}.......\dfrac{3}{4}$

Ans: (a)$\dfrac{5}{6}  < \dfrac{9}{5}$

(b)$\dfrac{3}{4} > \dfrac{1}{2}$

(c)$\dfrac{2}{5} < \dfrac{3}{4}$

3. Find the additive inverse of $-\dfrac{3}{8}$.

Ans: $\dfrac{3}{8}$

4. Reduce the following to the simplest form.

(a)$\dfrac{36}{54}$

(b)\[\dfrac{8}{72}\]

(a) HCF of $36$ and $54$ is $18$.

Dividing both numerator and denominator by $18$,

$\dfrac{36\div 18} {54\div 18} $

$ =\dfrac{2}{3} $

(b) HCF of $8$ and $72$ is $8$.

Dividing both numerator and denominator by $8$,

$\dfrac{8\div 8} {72\div 8} $

$ =\dfrac{1}{9} $ 

5. Write four more numbers in the following pattern $-\dfrac{1}{2}$, $-\dfrac{1}{3}$, $-\dfrac{2}{4}$, $-\dfrac{2}{6}$,….

$ -\dfrac{1}{2}\times \dfrac{3}{3}=-\dfrac{3}{6} $

$ -\dfrac{1}{2}\times \dfrac{4}{4}=-\dfrac{4}{8} $ 

$ -\dfrac{1}{3}\times \dfrac{3}{3}=-\dfrac{3}{9}  $  

$ -\dfrac{1}{3}\times \dfrac{4}{4}=-\dfrac{4}{12}  $  

Therefore, $-\dfrac{1}{2}$, $-\dfrac{1}{3}$, $-\dfrac{2}{4}$, $-\dfrac{2}{6}$, $-\dfrac{3}{6}$, $-\dfrac{4}{8}$, $-\dfrac{3}{9}$, $-\dfrac{4}{12}$

6. Do $-\dfrac{4}{9}$ and $-\dfrac{16}{36}$ represent the same number?

Ans: $-\dfrac{4}{9}$ and $-\dfrac{16}{36}$ 

$-\dfrac{4}{9}=-\dfrac{4\times 4}{9\times 4}=-\dfrac{16}{36}$

Or $-\dfrac{16}{36}=-\dfrac{16\div 4}{36\div 4}=-\dfrac{4}{9}$

Hence, both represent the same number.

7. List five rational numbers between $-4$ and $-3$.

$-4\times \dfrac{6}{6}=\dfrac{-24}{6}$

$-3\times \dfrac{6}{6}=\dfrac{-18}{6}$

The rational numbers are

$-\dfrac{23}{6},-\dfrac{22}{6},-\dfrac{21}{6},-\dfrac{20}{6},-\dfrac{19}{6}$

8. Give four equivalent numbers for \[\dfrac{3}{8}\].

$ \dfrac{3}{8}\times \dfrac{2}{2}=\dfrac{6}{16}  $  

$ \dfrac{3}{8}\times \dfrac{3}{3}=\dfrac{9}{24}  $  

$ \dfrac{3}{8}\times \dfrac{4}{4}=\dfrac{12}{32}  $  

$ \dfrac{3}{8}\times \dfrac{5}{5}=\dfrac{15}{40}  $  

9. Draw the number line and represent $-\dfrac{7}{3}$ on it.

Ans: This fraction represents two full parts and one part out of 3 equal parts. The negative sign indicates that it is on the negative side of the number line.

Therefore, each space between two integers on the number line must be divided into 3 equal parts.

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10. Rewrite the following rational numbers in the simplest form.

(a)$\dfrac{12}{36}$

(b)$\dfrac{39}{104}$

(a) HCF of $12$ and $36$ is $12$.

Dividing both numerator and denominator by $12$,

$\dfrac{12\div 12}{ 36\div 12}  $  

$ =\dfrac{1}{3}  $  

(b) HCF of $39$ and $104$ is $13$.

Dividing both numerator and denominator by $13$,

$\dfrac{39\div 13}{ 104\div 13} $  

$ =\dfrac{3}{8}  $  

11. Find the value of $\dfrac{4}{14}\div \dfrac{28}{80}$.

Ans: $\dfrac{4}{14}\div \dfrac{28}{80}$

$ =\dfrac{4}{14}\times \dfrac{80}{28}  $  

$ =\dfrac{40}{49}  $  

12. Find the product of $\dfrac{15}{22}\times \dfrac{11}{5}$.

Ans: $\dfrac{15}{22}\times \dfrac{11}{5}$

$ =\dfrac{3}{2}  $  

$ =1\dfrac{1}{2}  $  

13. Find the value of $\dfrac{5}{8}+\dfrac{1}{3}$.

Ans: LCM of $8$ and $3$ is $24$

$\dfrac{5}{8}\times \dfrac{3}{3}=\dfrac{15}{24}  $  

$ \dfrac{1}{3}\times \dfrac{8}{8}=\dfrac{8}{24}  $  

$ \dfrac{15}{24}+\dfrac{8}{24}  $  

$ =\dfrac{5+8}{24}  $  

$ =\dfrac{23}{24}  $  

3 Marks Questions

14. Find the value of 

(a)$\dfrac{3}{4}+\dfrac{1}{2}$

(b)$\dfrac{5}{8}+\dfrac{3}{4}$

Ans: (a) LCM of $4$ and $2$ is $4$

$ \dfrac{3}{4}\times \dfrac{1}{1}=\dfrac{3}{4}  $  

$ \dfrac{1}{2}\times \dfrac{2}{2}=\dfrac{2}{4}  $  

$ \dfrac{3}{4}+\dfrac{2}{4}  $  

$ =\dfrac{3+2}{4}  $  

$ =\dfrac{5}{4}  $  

(b) LCM of $4$ and $8$ is $8$

$ \dfrac{5}{8}\times \dfrac{1}{1}=\dfrac{5}{8}  $  

$ \dfrac{3}{4}\times \dfrac{2}{2}=\dfrac{6}{8}  $  

$ \dfrac{5}{8}+\dfrac{6}{8}  $  

$ =\dfrac{5+6}{8}  $  

$ =\dfrac{11}{8}  $  

$ =1\dfrac{3}{8}  $  

15. Simplify

(a)$\dfrac{2}{5}-\dfrac{1}{2}$

(b)$\dfrac{1}{5}-\dfrac{3}{4}$

(a) LCM of $5$ and $2$ is $10$

$ \dfrac{2}{5}\times \dfrac{2}{2}=\dfrac{4}{10}  $  

$ \dfrac{1}{2}\times \dfrac{5}{5}=\dfrac{5}{10}  $  

$ \dfrac{4}{10}-\dfrac{5}{10}  $  

$ =\dfrac{4-5}{10}  $  

$ =-\dfrac{1}{10}  $  

(b) LCM of $5$ and $4$ is $20$

$ \dfrac{1}{5}\times \dfrac{4}{4}=\dfrac{4}{20}  $  

$ \dfrac{3}{4}\times \dfrac{5}{5}=\dfrac{15}{20}  $  

$ \dfrac{4}{15}-\dfrac{15}{20}  $  

$ =\dfrac{4-15}{20}  $  

$ =-\dfrac{11}{20}  $  

16. Find the product of 

(a) $\dfrac{14}{3}\times \dfrac{21}{63}$

(b) $\dfrac{2}{5}\times \dfrac{8}{9}$

$ =\dfrac{2\times 7}{1\times 9}  $  

$ =\dfrac{14}{9}  $  

$ =1\dfrac{5}{9}  $  

$ =\dfrac{2\times 8}{5\times 9}  $  

$ =\dfrac{16}{45}  $  

17. Find the value of 

(a) $-\dfrac{2}{3}\div \dfrac{3}{4}$

(b) $\dfrac{1}{4}\div \dfrac{5}{8}$

$ =-\dfrac{2}{3}\times \dfrac{3}{4}  $  

$ =-\dfrac{8}{9}  $  

$ =\dfrac{1}{4}\times \dfrac{8}{5}  $  

$ =\dfrac{2}{5}  $  

18. Insert six rational numbers between  $\dfrac{3}{8}$ and $\dfrac{3}{5}$.

Ans: Convert both the denominators into the same denominator.

$\dfrac{3}{8}\times \dfrac{5}{5}=\dfrac{15}{40}$

$\dfrac{3}{5}\times \dfrac{8}{8}=\dfrac{24}{40}$

Therefore, 

$\dfrac{16}{24}$ $\dfrac{17}{24}$ $\dfrac{18}{24}$ $\dfrac{19}{24}$ $\dfrac{20}{24}$ $\dfrac{21}{24}$ 

Download Important Questions of Rational Numbers Class 7 With Solutions - Free PDF

The collection of important questions of Rational numbers Class 7 with solutions are prepared by the subject experts after carrying a thorough analysis of the past year exam trends and latest syllabus.  All questions on Rational Numbers for Class 7 with accurate solutions will come in handy to revise important topics of the chapter. Moreover, the solutions given here will help students to understand the method to frame the stepwise solutions in Class 7 Maths Exam 2024.

The set of important questions of rational number Class 7 provided here is perfect study material for the quick and effective revision of the chapter before the exam as questions of different formats like short answers, long answers are prepared and provided separately by the subject experts.

If you find any doubt concerning any topic of the chapter, you can clear it by practicing these important questions on Rational Numbers. Hence, students are suggested to download important questions of Rational Number Class 7 free pdf through the link provided here.

A Quick Overview of Class 7 Maths Chapter 9 Rational Numbers

Rational numbers are numbers that can be represented in the form of a fraction. It is a part of the real number system. A number is said to be in rational form if it has both numerator and denominator. More specifically, the definition of rational number states that any number can be represented in the ratio of p and q, where p and q are integers and the value of q is not equals to zero.

As per the Ancient Greek Mathematician, rational numbers are used to measure almost everything. Here are some real-life examples of rational numbers.

Taxes are represented in the form of rational numbers.

Divide pizza or anything among your friends.

Interest rate on saving accounts, loan, and mortgage are expressed in rational form.

When you complete half of the portion of your work, you say 50% of ½  of the work is completed.

Let us now understand some of the important terms of Class 7 Maths Chapter 9 Rational Numbers.

What Are Rational Numbers?

A rational number is defined as a number that can be written in the form of p/q, where p and q are integers, and q does not equal to 0. For example, 3/5 is a rational number because p = 3, and q = 5 are integers.

What are Positive and Negative Rational Numbers

Positive rational numbers are numbers whose both and numerators and denominators are positive integers. For example, 3/5 is a positive rational number because both the numerator and denominator of this number are positive.

Negative rational numbers are numbers whose either numerator or denominator are negative integers. For example, -3/5 is a negative rational number as the numerator of this number is negative.

How rational numbers can be expressed in standard form.

A Rational p/q is said to be in standard form if its denominator that is q is positive and both numerator and denominator i.e. p and q have no other common divisor other than 1.

How to Obtain Rational Numbers Between Two Rational Numbers

We can obtain a rational number between two rational numbers p and q simply by dividing it by 2.

For Example,

The rational number between 3/1 and 4/1 is 7/2 as 3/1 + 4/1 = 7/2.

For a negative and positive rational number like -3/20 and 3/20 is -2/20,-1/20, 0/20, 1/20, etc.

For determining a rational number between two rational numbers with different denominators, we first determine the equivalent fraction with the same denominator then find the rational number between them. For example, we can determine a rational number between -1/3 and 5/20 by converting -1/3 to (-1/3) x (3/3) = -39. Accordingly, we have -2/9,-1/9, 0/9, 1/9, 2/9, 3/9, 4/9.

How to Add Two Rational Numbers?

Two rational numbers with similar denominators can be added simply by adding the numerators while keeping the denominators the same whereas two rational numbers with different denominators can be added taking the LCM of the two denominators. Then, we find the equivalent rational numbers of the given rational number with this LCM as their denominators. Then, we add two rational numbers.

Example: Let us add (-7/5) + (-2/3)

Step 1: LCM of 5 and 3 is 15.

Step 2: (-7/5) +  -2/3 = [-7(3) + (-2)(5)]/15

Step 3: (-7/5) + (-2/3) = [-21 + (-10)]/15 = [-21 -10]/15 = -31/15

How to Subtract Two Rational Numbers?

Two rational numbers with similar denominators can be added simply by subtracting the numerators while keeping the denominators the same whereas two rational numbers with different denominators can be subtracted by making the values of two denominators the same by finding LCM of denominator values.

Example: Let us add (-7/5) - (-2/3)

Step 1: LCM of 5 and 3 is 15

Step 2: (-7/5) - (-2/3) = [-7(3) - (-2)(5)]/15

Step 3: (-7/5) - (-2/3)  = [-21 - (-10)]/15 = [-21 + 10]/15= -11/15

How to Multiply Two Rational Numbers?

The formula two find multiplication of two rational numbers is given by”

Product of Rational Numbers Formula  = ({Product of numerators}/{Product of denominators})

Find the product of 6/5 × 4/3

The product of 6/5 × 4/3 = 24/15

The multiplication of a rational number with its reciprocal is always equal to 1.

How to Divide Two Rational Numbers?

The division of two rational numbers is similar to the division of fractions, Here are the steps to find the division of two rational numbers.

Step 1: Find the reciprocal of the divisor value.

Step 2: Find the product of numerator and denominator to obtain the result.

Find the Value of 6/5 ÷ 9/7

Step 1: The reciprocal of 97is 79

Step 2:  Division of two rational number is

6/5 × 7/9 = 42/45

List of the Topics and Subtopics Covered in Class 7 Maths Chapter 9

9.1: Introduction To Rational Numbers

9.2: Need for Rational numbers

9.3: What are Rational Numbers?

9.4: Positive and Negative Rational Numbers

9.5: Rational Number on Number Line

9.6: Rational Number In Standard Form

9.7: Comparison of Rational Numbers

9.8: Rational Numbers Between Two Rational Number

9.9: Operation on Rational Numbers

9.9.1: Addition

9.9.2: Subtraction

9.9.3: Multiplication

9.9.4: Division

To practice the important question on all the topics discussed below, download Important Questions of Rational Numbers Class 7 free pdf now.

How Solving Questions on Rational Number For Class 7 will be Beneficial for Students?

Here are some of the benefits of solving questions on Rational numbers for Class 7.

Students will be familiarized with the different types of questions, complexity level of questions, and important topics of the chapter to focus on.

Students will be able to develop time management skills and problem-solving skills.

Students can analyse the level of their preparation based on the marks obtained. They can also analyse their strength and weakness and accordingly improve them.

Solving these questions repeatedly will help students to revise the complete chapter thoroughly.

Solving the questions will also help students to attempt the questions asked in the exam more confidently as they will be habitual to solve different types of questions.

Candidates are suggested to solve the questions and then cross their answers from the solutions provided. The attempt helps them to gain real-time exam experience.

Practicing the questions enable students to assess their preparedness and understand the techniques to decode problems asked in the exam.

To explore all the benefits mentioned above, it is recommended to download Questions on Rational for Class 7 free pdf now.

When studying CBSE Class 7 Maths Chapter 9 on Rational Numbers, it's crucial to grasp key concepts. Understanding how to represent fractions, compare them, and perform operations like addition, subtraction, multiplication, and division with rational numbers is fundamental. Additionally, learning to convert fractions into decimals and vice versa is essential. Practice solving word problems and equations involving rational numbers to strengthen your problem-solving skills. Remember to simplify fractions and find the lowest common multiple when needed. By mastering these concepts, you'll be well-prepared to handle rational numbers and their applications in various mathematical problems. Consistent practice and a solid understanding will help you excel in this chapter.

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FAQs on Important Questions for CBSE Class 7 Maths Chapter 9 - Rational Numbers

Q1. How can I access NCERT Solutions for Chapter 9 Rational Numbers of Class 7 Maths?

Ans: Using Vedantu’s NCERT Solutions for Chapter 9 Rational Numbers of Class 7 Maths, students will be able to easily prioritise questions for the chapter Rational Numbers. The PDF has questions that are prepared by experienced subject teachers after continuous research of the topic and can be easily downloaded by visiting Vedantu’s official website (vedantu.com) free of cost. The questions are also based on past exam trends. By continuous practice and hard work, the student can gain confidence in tackling problems on rational numbers and solve them. This will also help the student to understand how tricky questions are solved.

Q2. What are rational numbers according to Chapter 9 Rational Numbers of Class 7 Maths?

Ans: Rational numbers can be expressed as numbers that are in the ratio of x and y. Here x (numerator) and y (denominator) are positive integers and y is not equal to 0. X and y should not have any common divisors other than 1. There are positive and negative rational numbers. Positive rational numbers are those whose numerator as well as denominator are positive integers, whereas negative rational numbers have either the numerator or denominator number as negative.

Q3. How can we obtain rational numbers between two rational numbers according to Chapter 9 Rational Numbers of Class 7 Maths?

Ans: Rational numbers refer to numbers that don’t have 0 as the denominator, and where both the denominator and the numerator are integers. To obtain rational numbers between two rational numbers we can simplify it by dividing it by 2. For example; the rational number between 3/2 and 4/2 is 7/4 as 3/2+4/2=7/2.

We can perform all the operations such as add, subtract, multiple and divide with rational numbers. Rational numbers can perform operations only with other rational numbers and will not be able to with irrational numbers.

Q4. What are the Important Topics Covered in NCERT Solutions of Chapter 9 Rational Numbers of Class 7 Maths?

Ans: NCERT Solutions for Class 7 Maths Chapter 9 is one of the most important chapters in Mathematics. There are many important concepts and topics that are covered in this chapter from the examination point of view. The important topics covered are Introduction to rational numbers, need for rational numbers, what are rational numbers, positive and negative rational numbers, rational numbers on the number line,  In the standard form of rational numbers, operations on rational numbers (addition, subtraction, multiplication and division) and obtaining rational numbers between two rational numbers. 

Q5. How do you represent rational numbers in their standard form as explained in Chapter 9 Rational Numbers of Class 7 Maths?

Ans: Rational numbers are a part of the real number system. Rational numbers are represented in terms of a fraction in their standard form. Rational numbers are represented in the ratio of x and y. Here x (numerator) and y (denominator)  are positive integers and y is not equal to 0. Rational numbers are used to represent almost everything. For example; taxes are done in decimals, division of pizza or anything. These numbers are fractions and hence rational numbers. 

Chapterwise Important Questions for CBSE Class 7 Maths

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CBSE Sample Papers For Class 7 Maths

Latest cbse sample papers for class 7 maths 2020, cbse solved sample question papers for class 7 maths free pdf download.

Download the latest CBSE sample papers for class 7 Maths for free in high-quality pdf format. We have provided you sample papers for 2020 with solutions. All these papers greatly help you out with this concern. We suggest you practice these papers regularly to increase your Concepts of solving math problems. You can also download NCERT solution for class 7 maths for free.

Download our official android app for free to get NCERT Solutions, NCERT Book, CBSE sample paper, Reference Solutions, Chapter-wise important questions and all other study materials you want in one place. Download the Study Path’s Android app now.

CBSE Solved Sample Papers for Class 7 Maths

  • CBSE Sample Paper for class 7 Maths Set 1
  • CBSE Sample Paper for class 7 Maths Set 2
  • CBSE Sample Paper for class 7 Maths Set 3
  • CBSE Sample Paper for class 7 Maths Set 4
  • CBSE Sample Paper for class 7 Maths Set 5
  • CBSE Sample Paper for class 7 Maths Set 6

Why Sample Papers are important?

CBSE Sample papers contain most frequently asked questions in the past and the questions related to all the important concepts which are essential from the examination point of view. They give a brief idea about the examination question paper pattern. All the sample papers provided here help you to write answers properly in your exams. You must regularly practice all the sample papers to get the best result from them. They also help you to find your mistakes and weakness and self-evaluate your exam preparations. Ultimately they boost your score in the exams.

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CBSE Class 9 Maths Case Study Questions PDF Download

Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

case study class 7 maths pdf

Case study questions play a pivotal role in enhancing students’ problem-solving skills. By presenting real-life scenarios, these questions encourage students to think beyond textbook formulas and apply mathematical concepts to practical situations. This approach not only strengthens their understanding of mathematical concepts but also develops their analytical thinking abilities.

Table of Contents

CBSE Class 9th MATHS: Chapterwise Case Study Questions

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. For Class 9 Maths Case Study Questions, there would be 5 case-based sub-part questions, wherein a student has to attempt 4 sub-part questions.

Class 9 Maths Case Study Questions

Chapterwise Case Study Questions of Class 9 Maths

  • Case Study Questions for Chapter 1 Number System
  • Case Study Questions for Chapter 2 Polynomials
  • Case Study Questions for Chapter 3 Coordinate Geometry
  • Case Study Questions for Chapter 4 Linear Equations in Two Variables
  • Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
  • Case Study Questions for Chapter 6 Lines and Angles
  • Case Study Questions for Chapter 7 Triangles
  • Case Study Questions for Chapter 8 Quadrilaterals
  • Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
  • Case Study Questions for Chapter 10 Circles
  • Case Study Questions for Chapter 11 Constructions
  • Case Study Questions for Chapter 12 Heron’s Formula
  • Case Study Questions for Chapter 13 Surface Area and Volumes
  • Case Study Questions for Chapter 14 Statistics
  • Case Study Questions for Chapter 15 Probability

Checkout: Class 9 Science Case Study Questions

And for mathematical calculations, tap Math Calculators which are freely proposed to make use of by calculator-online.net

The above  Class 9 Maths Case Study Question s will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Study Questions have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

Class 9 Maths Syllabus 2023-24

case study class 7 maths pdf

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (18 Periods)

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

jagran josh

(and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1. POLYNOMIALS (26 Periods)

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

RELATED STORIES

jagran josh

and their use in factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES (16 Periods)

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY COORDINATE GEOMETRY (7 Periods)

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (7 Periods)

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

2. LINES AND ANGLES (15 Periods)

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

3. TRIANGLES (22 Periods)

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

4. QUADRILATERALS (13 Periods)

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

5. CIRCLES (17 Periods)

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT V: MENSURATION 1.

1. AREAS (5 Periods)

Area of a triangle using Heron’s formula (without proof)

2. SURFACE AREAS AND VOLUMES (17 Periods)

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS & PROBABILITY

STATISTICS (15 Periods)

 Bar graphs, histograms (with varying base lengths), and frequency polygons.

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Benefits of Practicing CBSE Class 9 Maths Case Study Questions

Regular practice of CBSE Class 9 Maths case study questions offers several benefits to students. Some of the key advantages include:

  • Deeper Understanding : Case study questions foster a deeper understanding of mathematical concepts by connecting them to real-world scenarios. This improves retention and comprehension.
  • Practical Application : Students learn to apply mathematical concepts to practical situations, preparing them for real-life problem-solving beyond the classroom.
  • Critical Thinking : Case study questions require students to think critically, analyze data, and devise appropriate solutions. This nurtures their critical thinking abilities, which are valuable in various academic and professional domains.
  • Exam Readiness : By practicing case study questions, students become familiar with the question format and gain confidence in their problem-solving abilities. This enhances their readiness for CBSE Class 9 Maths exams.
  • Holistic Development: Solving case study questions cultivates not only mathematical skills but also essential life skills like analytical thinking, decision-making, and effective communication.

Tips to Solve CBSE Class 9 Maths Case Study Questions Effectively

Solving case study questions can be challenging, but with the right approach, you can excel. Here are some tips to enhance your problem-solving skills:

  • Read the case study thoroughly and understand the problem statement before attempting to solve it.
  • Identify the relevant data and extract the necessary information for your solution.
  • Break down complex problems into smaller, manageable parts to simplify the solution process.
  • Apply the appropriate mathematical concepts and formulas, ensuring a solid understanding of their principles.
  • Clearly communicate your solution approach, including the steps followed, calculations made, and reasoning behind your choices.
  • Practice regularly to familiarize yourself with different types of case study questions and enhance your problem-solving speed.Class 9 Maths Case Study Questions

Remember, solving case study questions is not just about finding the correct answer but also about demonstrating a logical and systematic approach. Now, let’s explore some resources that can aid your preparation for CBSE Class 9 Maths case study questions.

Q1. Are case study questions included in the Class 9 Maths Case Study Questions syllabus?

Yes, case study questions are an integral part of the CBSE Class 9 Maths syllabus. They are designed to enhance problem-solving skills and encourage the application of mathematical concepts to real-life scenarios.

Q2. How can solving case study questions benefit students ?

Solving case study questions enhances students’ problem-solving skills, analytical thinking, and decision-making abilities. It also bridges the gap between theoretical knowledge and practical application, making mathematics more relevant and engaging.

Q3. How do case study questions help in exam preparation?

Case study questions help in exam preparation by familiarizing students with the question format, improving analytical thinking skills, and developing a systematic approach to problem-solving. Regular practice of case study questions enhances exam readiness and boosts confidence in solving such questions.

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NCERT Solutions For Class 7 Maths

Ncert solutions for class 7 maths cbse 2023-24 edition – free pdf download.

NCERT Solutions for Class 7 Maths are provided here. Practising NCERT Solutions is the ultimate need for students who intend to score good marks in Maths examinations. Students facing trouble in solving problems from the NCERT textbook of Class 7 can refer to our free NCERT Solutions  provided below.

Students are advised to practise Class 7th NCERT Solutions, which are available in PDF format, as it helps them understand the basic concepts easily. For students who feel stressed searching for the most comprehensive and detailed NCERT Solutions for Class 7 , we at BYJU’S have prepared step-by-step solutions with detailed explanations. These exercises are prepared by our expert tutors to assist you in your exam preparation and help you attain good marks in the subject.

NCERT Solutions Class 7 Maths (Chapter-Wise)

The following chapters have been removed from the NCERT Class 7 Maths textbook 2023-24.

Congruence of Triangles

Practical Geometry

In addition, students are given access to additional online study materials and resources, available in BYJU’S website, such as notes, books, question papers, exemplar problems, worksheets, etc. Students are also advised to practice Class 7 Sample Papers to get an idea of the question paper pattern in the final exam.

Self Study Class 7

NCERT Exercise-Wise Solutions for Class 7 Maths

Students are advised to go through these NCERT Solutions for Class 7 . All the solutions are in line with the CBSE guidelines and presented in a stepwise manner so that students can understand the logic behind every problem while practising.

Chapter 1 Integers

Chapter 1 involves the study of Integers. In the previous classes, we have learnt about whole numbers and integers. Now, we will study more about integers , their properties and operations. Likewise, the addition and the subtraction of the integers, properties of addition and subtraction of integers, multiplication and division of integers, properties of multiplication and division of integers.

Here you can find exercise solution links for the topics covered in this chapter.

NCERT Solutions for Class 7 Maths Chapter 1 Exercises

Also, access the following resources for Class 7 Chapter 1 Integers  at BYJU’S:

  • Integers Class 7 Notes: Chapter 1
  • RD Sharma Solutions For Class 7 Maths Chapter – 1 Integers
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 1 Integers

Which is the best app for learning math?

With this, you’d have solutions to all the exercises for Chapter 1 – Integers, in your class 7 NCERT textbook. You’d have also been able to access the notes for the chapter, along with solutions for exercises in the RD Sharma book, and NCERT Exemplar through the links above. 

However, if you want to learn each concept at your own pace with striking visuals, you should try BYJU’S The Learning App!

What does BYJU’S The Learning App offer in Grade 7 Math?

  • 110+ math video lessons (1100+ minutes of content!)
  • Coverage of your school syllabus
  • 100+ gamified interactive learning experiences
  • Summary cards to help you revise formulae
  • Important questions
  • Practice tests
  • 24 X 7 access to learning resources

BYJU’S The Learning App for class 7 also teaches Physics, Biology, Chemistry, Geography, Civics, and History.

Click here to know more about why BYJU’S The Learning App is the best app for learning math.

Chapter 2 Fractions and Decimals

Chapter 2 of NCERT textbook, deals with Fractions and Decimals. You have learnt about fractions and decimals along with the operations of addition and subtraction on them, in earlier classes. We will now study the operations of multiplication and division on fractions as well as on decimals.

Likewise, multiplication of a fraction by a whole number , multiplication of a fraction by a fraction, division of the whole number by a fraction, division of a fraction by a whole number, multiplication of decimal by 10,100, 100, etc. Other topics are multiplication of decimal by whole number, multiplication of decimal by a decimal, division of decimals by 10, 100, 1000, etc., and dividing a decimal by the whole number.

NCERT Solutions for Class 7 Maths Chapter 2 Exercises

Also, access the following resources for Class 7 Chapter 2 Fractions and Decimals  at BYJU’S:

  • Fractions and Decimals Class 7 Notes: Chapter 2
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 2 Fractions and Decimals
  • RD Sharma Solutions For Class 7 Maths Chapter 3 – Decimals
  • RD Sharma Solutions For Class 7 Maths Chapter – 2 Fractions

Chapter 3 Data Handling

Chapter 3 of NCERT textbook deals with Data Handling. In your previous classes, you have dealt with various types of data. You have learnt to collect data, tabulate and put it in the form of bar graphs. Now in this chapter, we will take one more step towards learning how to do this. This chapter covers topics like collecting data, organisation of data, representative values, arithmetic mean , mode of large data, median, use of bar graphs with a different purpose, choosing scale, chance and probability.

Here, you can find exercise solution links for the topics covered in this chapter.

NCERT Solutions for Class 7 Maths Chapter 3 Exercises

Also, access the following resources for Class 7 Chapter 3 Data Handling  at BYJU’S:

  • Data Handling Class 7 Notes: Chapter 3
  • RD Sharma Solutions for Class 7 Maths Chapter 23 – Data Handling – II Central Values
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 3 Data Handling

Chapter 4 Simple Equations

Chapter 4, Simple Equations of NCERT textbook deals with setting up an equation and solving an equation. By solving more equations, we shall learn transposing a number, i.e., moving it from one side to the other. We can transpose numbers instead of adding or subtracting it from both sides of the equations . Then we study from solution to an equation, applications of simple equations to practical situations.

NCERT Solutions for Class 7 Maths Chapter 4 Exercises

Also, access the following resources for Class 7 Chapter 4 Simple Equations  at BYJU’S:

  • Simple Equations Class 7 Notes: Chapter 4
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 4 Simple Equations
  • RD Sharma Solutions For Class 7 Maths Chapter – 8 Linear Equations in One Variable

Chapter 5 Lines and Angles

This chapter is about Lines and Angles. This chapter includes related angles, complementary angles, supplementary angles, adjacent angles, linear pair , vertically opposite angles, pairs of lines, intersecting lines, transversal, the angle made by a transversal, transversal of parallel lines and checking of parallel lines.

NCERT Solutions for Class 7 Maths Chapter 5 Exercises

Also, access the following resources for Class 7 Chapter 5 Lines and Angles  at BYJU’S:

  • Lines and Angles Class 7 Notes: Chapter 5
  • RD Sharma Solutions for Class 7 Maths Chapter 14 Lines And Angles
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 5 Lines and Angles

Chapter 6 The Triangle and Its Properties

Chapter 6 of NCERT textbook discusses the topic The Triangle and Its Properties. Triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It covers the concepts median of a triangle, altitude of a triangle, exterior angle of a triangle and its property, angle sum property of a triangle, two special triangles – equilateral and isosceles, the sum of the lengths of two sides of a triangle, right-angled triangles and Pythagoras property.

NCERT Solutions for Class 7 Maths Chapter 6 Exercises

Also, access the following resources for Class 7 Chapter 6 The Triangle and Its Properties  at BYJU’S:

  • Triangles and Its Properties Class 7 Notes: Chapter 6
  • RD Sharma Solutions for Class 7 Maths Chapter 15 Properties of Triangles
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 6 Triangles

Chapter 7 Congruence of Triangles

This chapter is about the Congruence of Triangles. If two figures have exactly the same shape and size, they are said to be congruent. Other related topics are congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles , criteria for congruence of triangles, congruence of right-angled triangles.

NCERT Solutions for Class 7 Maths Chapter 7 Exercises

Also, access the following resources for Class 7 Chapter 7 Congruence of Triangles  at BYJU’S:

  • Congruence of Triangles Class 7 Notes: Chapter 7
  • RD Sharma Solutions for Class 7 Maths Chapter 16 Congruence

Chapter 8 Comparing Quantities

Chapter 8 of NCERT textbook deals with the Comparing Quantities. Its related topics are equivalent ratios, percentage   – another way of comparing quantities, the meaning of percentage, converting fractional numbers to a percentage, converting decimals to a percentage, converting percentages to fractions or decimals. Other interesting topics are fun with estimation, interpreting percentages, converting percentages to how many, ratios to percents, increase or decrease as per cent, profit or loss as a percentage, charge given on borrowed money or simple interest.

NCERT Solutions for Class 7 Maths Chapter 8 Exercises

Also, access the following resources for Class 7 Chapter 8 Comparing Quantities  at BYJU’S:

  • Comparing Quantities Class 7 Notes: Chapter 8
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 7 Comparing Quantities
  • RD Sharma Solutions for Class 7 Maths Chapter 12 Profit And Loss

Chapter 9 Rational Numbers

Chapter 9 of NCERT textbook discusses the topic of Rational Numbers. It covers positive and negative rational numbers, rational numbers on a number line, rational numbers in standard form, comparison of rational numbers, rational numbers between two rational numbers and operations on rational numbers.

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

Also, access the following resources for Class 7 Chapter 9 Rational Numbers  at BYJU’S:

  • Rational Numbers Class 7 Notes: Chapter 9
  • RD Sharma Solutions For Class 7 Maths Chapter – 4 Rational Numbers
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 8 Rational Numbers

Chapter 10 Practical Geometry

Chapter 10 of NCERT textbook discusses the topic of Practical Geometry. You are familiar with a number of shapes. You learnt how to draw some of them in the earlier classes. For example, you can draw a line segment of a given length, a line perpendicular to a given line segment, an angle, an angle bisector , a circle etc. Now, you will learn how to draw parallel lines and some types of triangles. Topics covered in this chapter are the construction of a line parallel to a given line, through a point not on the line, construction of different types of triangles.

NCERT Solutions for Class 7 Maths Chapter 10 Exercises

Also, access the following resources for Class 7 Chapter 10 Practical Geometry  at BYJU’S:

  • Practical Geometry Class 7 Notes: Chapter 10
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
  • RD Sharma Solutions for Class 7 Maths Chapter 17 Constructions

Chapter 11 Perimeter and Area

This chapter is about Simple Interest. In Class 6, you have already learnt perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around a closed figure while the area is the part of a plane or region occupied by the closed figure. In this class, you will learn about perimeters and areas of a few more plane figures.

NCERT Solutions for Class 7 Maths Chapter 11 Exercises

Also, access the following resources for Class 7 Chapter 11 Perimeter and Area  at BYJU’S:

  • Perimeter and Area Class 7 Notes: Chapter 11
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 9 Perimeter and Area
  • RD Sharma Solutions for Class 7 Maths Chapter 20 Mensuration – I (Perimeter and area of rectilinear figures)

Chapter 12 Algebraic Expressions

In Chapter 12, Algebraic Expressions of NCERT textbook deals with terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials, polynomials , addition and subtraction of algebraic expressions, finding the values of an expression.

NCERT Solutions for Class 7 Maths Chapter 12 Exercises

Also, access the following resources for Class 7 Chapter 12 Algebraic Expressions  at BYJU’S:

  • Algebraic Expressions Class 7 Notes: Chapter 12
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 10 Algebraic Expressions
  • RD Sharma Solutions For Class 7 Maths Chapter – 7 Algebraic Expressions

Chapter 13 Exponents and Powers

Chapter 13 of NCERT textbook discusses the topic Exponents and Powers. Exponents are the product of rational numbers multiplied several times by themselves. Some of the concepts covered here are laws of exponents, multiplying powers with the same base, dividing powers with the same base, taking power of a power, multiplying powers with the same exponents , dividing powers with the same exponents, decimal number system, expressing large numbers in the standard form.

NCERT Solutions for Class 7 Maths Chapter 13 Exercises

Also, access the following resources for Class 7 Chapter 13 Exponents and Powers  at BYJU’S:

  • Exponents and Powers Class 7 Notes: Chapter 13
  • NCERT Exemplar Solutions for Class 7 Maths Chapter 11 Exponents and Powers
  • RD Sharma Solutions For Class 7 Maths Chapter – 6 Exponents

Chapter 14 Symmetry

This chapter is about Symmetry. Symmetry means that one shape becomes exactly like another when you move it in some way, turn, flip or slide. For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first. There can also be symmetry in one object, such as a face. Topics covered in this chapter are lines of symmetry for regular polygons, rotational symmetry , line symmetry and rotational symmetry.

NCERT Solutions for Class 7 Maths Chapter 14 Exercises

Also, access the following resources for Class 7 Chapter 14 Symmetry  at BYJU’S:

  • Symmetry Class 7 Notes: Chapter 14
  • RD Sharma Solutions for Class 7 Maths Chapter 18 Symmetry

Chapter 15 Visualising Solid Shapes

In Chapter 15, Visualising Solid Shapes of NCERT textbook deals with the plane figures and solids, faces, edges, vertices, nets for building 3-D shapes, drawing solids on a flat surface, oblique sketches, isometric sketches. Some more concepts covered in this chapter are visualising solid objects , viewing different sections of a solid, then another way is by shadow play.

NCERT Solutions for Class 7 Maths Chapter 15 Exercises

Also, access the following resources for Class 7 Chapter 15 Visualising Solid Shapes  at BYJU’S:

  • Visualising Solid Shapes Class 7 Notes: Chapter 15
  • RD Sharma Solutions for Class 7 Maths Chapter 19 Visualising Solid Shapes

The NCERT Solutions are considered one of the best resources to master Maths. The solutions given here are in well-structured format with different shortcut methods to ensure a proper understanding of the concept and scoring good marks in Maths.

Benefits of Class 7 Maths NCERT Solutions

These solutions are prepared by expert tutors.

  • NCERT Class 7 Solutions are explained step by step in a comprehensive manner.
  • Chapter-wise and Exercise-wise solutions are also given in PDF format, which students can download for free and access offline.
  • Formulas are mentioned in between steps to help students recall them easily.
  • Apart from clearing doubts, these solutions also give in-depth knowledge about the respective topics.

Keep visiting BYJU’S to get more updated learning materials and download the BYJU’S app for a better and personalized learning experience, along with engaging video lessons.

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NCERT Books

NCERT Books for Class 7 Maths PDF Download

NCERT Books for Class 7 Maths PDF Download

NCERT Books Class 7 Maths : The National Council of Educational Research and Training (NCERT) publishes Maths textbooks for Class 7. The NCERT Class 7th Maths textbooks are well known for it’s updated and thoroughly revised syllabus. The NCERT Maths Books are based on the latest exam pattern and CBSE syllabus.

NCERT keeps on updating the Maths books with the help of the latest question papers of each year. The Class 7 Maths books of NCERT are very well known for its presentation. The use of NCERT Books Class 7 Maths is not only suitable for studying the regular syllabus of various boards but it can also be useful for the candidates appearing for various competitive exams, Engineering Entrance Exams, and Olympiads.

NCERT Class 7 Maths Books in English PDF Download

NCERT Class 7 Maths Books are provided in PDF form so that students can access it at any time anywhere. Class 7 NCERT Maths Books are created by the best professors who are experts in Maths and have good knowledge in the subject.

NCERT Books for Class 7 Maths – English Medium

  • Chapter 1:  Integers

NCERT Solutions for class 7 Maths

  • Chapter 2:  Fractions and Decimals
  • Chapter 3:  Data Handling
  • Chapter 4:  Simple Equations
  • Chapter 5:  Lines and Angles
  • Chapter 6:  The Triangles and Its Properties
  • Chapter 7:  Congruence of Triangles
  • Chapter 8:  Comparing Quantities
  • Chapter 9:  Rational Numbers
  • Chapter 10:  Practical Geometry
  • Chapter 11:  Perimeter and Area
  • Chapter 12:  Algebraic Expressions
  • Chapter 13:  Exponents and Powers
  • Chapter 14:  Symmetry
  • Chapter 15:  Visualising Solid Shapes

NCERT Books for Class 7 Maths – Hindi Medium

  • अध्याय 1:  पूर्णांक
  • अध्याय 2:  भिन्न एवं दशमलव
  • अध्याय 3:  आँकड़ो का प्रबंधन
  • अध्याय 4:  सरल समीकरण
  • अध्याय 5:  रेखा एवं कोण
  • अध्याय 6:  त्रिभुज और उसके गुण
  • अध्याय 7:  त्रिभुजों की सर्वांगसमता
  • अध्याय 8:  राशियों की तुलना
  • अध्याय 9:  परिमेय संख्याएँ
  • अध्याय 10:  प्रायोगिक ज्यामिती
  • अध्याय 11:  परिमाप और क्षेत्रफल
  • अध्याय 12:  बीजीय व्यंजक
  • अध्याय 13:  घातांक और घात
  • अध्याय 14:  सममिति
  • अध्याय 15:  ठोस आकारों का चित्रण

The NCERT syllabus mainly focuses on this book to make it student-friendly to make it useful for both the students and the competitive exam aspirants. The book covers a detailed Maths based on the syllabuses of various boards. NCERT Maths Books for Class 7 is perfectly compatible with almost every Indian education state and central boards.

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We hope that this detailed article on NCERT Books Class 7 Maths helps you in your preparation and you crack the Class 7 exams or competitive exams with excellent scores.

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Case Study Questions for Class 7 Maths Chapter 12 Algebraic Expressions

  • Last modified on: 10 months ago
  • Reading Time: 7 Minutes

Case Study Questions for Class 7 Maths Chapter 12 Algebraic Expressions

Here in this article, we are providing case study questions for Class 7 Maths Chapter 12 Algebraic Expressions.

Maths Class 7 Chapter List

Latest chapter list (2023-24).

There is total 13 chapters.

Chapter 1 Integers Case Study Questions Chapter 2 Fractions and Decimals Case Study Questions Chapter 3 Data Handling Case Study Questions Chapter 4 Simple Equations Case Study Questions Chapter 5 Lines and Angles Case Study Questions Chapter 6 The Triangles and its Properties Case Study Questions Chapter 7 Comparing Quantities Case Study Questions Chapter 8 Rational Numbers Case Study Questions Chapter 9 Perimeter and Area Case Study Questions Chapter 10 Algebraic Expressions Case Study Questions Chapter 11 Exponents and Powers Case Study Questions Chapter 12 Symmetry Case Study Questions Chapter 13 Visualising Solid Shapes Case Study Questions

Old Chapter List

Chapter 1 Integers Chapter 2 Fractions and Decimals Chapter 3 Data Handling Chapter 4 Simple Equations Chapter 5 Lines and Angles Chapter 6 The Triangles and its Properties Chapter 7 Congruence of Triangles Chapter 8 Comparing Quantities Chapter 9 Rational Numbers Chapter 10 Practical Geometry Chapter 11 Perimeter and Area Chapter 12 Algebraic Expressions Chapter 13 Exponents and Powers Chapter 14 Symmetry Chapter 15 Visualising Solid Shapes

Deleted Chapter:

  • Chapter 7 Congruence of Triangles
  • Chapter 10 Practical Geometry

Tips for Answering Case Study Questions for Class 7 Maths in Exam

Tips for Answering Case Study Questions for Class 7 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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  1. class 7 maths case based study questions

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  2. NCERT Exemplar Solutions for Class 7 Maths Chapter 7 Comparing

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  3. NCERT Exemplar Book for Class 7 Maths Chapter 3- Data Handling

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  4. NCERT Book for Class 7 Maths: Chapter 11-Perimeter and Area

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  5. NCERT Exemplar Solutions for Class 7 Maths Chapter 7 Comparing

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  6. NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities

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  1. Case Study Questions for Class 7 Maths

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  10. CBSE Sample Paper for Class 7 Maths PDF

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    items for maths Class 7. There are 43 items. This item bank is supported by the assessment specification, which sets out the end-of-class assessment requirements and the learning ladder for the subject, which maps the CBSE syllabi content to the NCERT curriculum. The item index (page six) shows how each item maps to the learning ladder content and t

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  18. Case Study Questions for Class 7 Maths Chapter 3 Data Handling

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  19. NCERT Solutions For Class 7 Maths

    NCERT Solutions For Class 7 Maths CBSE 2023-24 Edition - Free PDF Download NCERT Solutions for Class 7 Maths are provided here. Practising NCERT Solutions is the ultimate need for students who intend to score good marks in Maths examinations. Students facing trouble in solving problems from the NCERT textbook of Class 7 can refer to our free NCERT Solutions provided below.

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  23. Case Study Questions for Class 7 Maths Chapter 12 Algebraic Expressions

    Tips for Answering Case Study Questions for Class 7 Maths in Exam. 1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution. 2.