case study class 10 maths triangles

• Bihar Board

CFA Institute

Srm university.

• Shiv Khera Special
• Education News
• Web Stories
• Current Affairs
• School & Boards
• College Admission
• Govt Jobs Alert & Prep
• GK & Aptitude
• CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Maths Chapter 6 (Published by CBSE)

Check case study questions released by cbse for class 10 maths chapter 6 - triangles. solve these questions to prepare the case study questions for the cbse class 10 maths exam 2021-22..

CBSE Class 10 Maths Case Study Questions for Chapter 6 - Triangles are available here. Students must practice with these questions to perform well in their Maths exam. All these case study questions have been published by the Central Board of Secondary Education (CBSE). For the convenience of students, all the questions are provided with answers.

Case Study Questions for Class 10 Maths Chapter 6 - Triangles

CASE STUDY 1:

Vijay is trying to find the average height of a tower near his house. He is using the properties of similar triangles.The height of Vijay’s house if 20m when Vijay’s house casts a shadow 10m long on the ground. At the same time, the tower casts a shadow 50m long on the ground and the house of Ajay casts 20m shadow on the ground.

1. What is the height of the tower?

Answer: c) 100m

2. What will be the length of the shadow of the tower when Vijay’s house casts a shadow of 12m?

Answer: d) 60m

3. What is the height of Ajay’s house?

Answer: b) 40m

4. When the tower casts a shadow of 40m, same time what will be the length of the shadow of Ajay’s house?

Answer: a) 16m

5. When the tower casts a shadow of 40m, same time what will be the length of the shadow of Vijay’s house?

Answer: d) 8m

CASE STUDY 2:

Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C are a distance of 12m, connecting C to point D at a distance of 40m from point C and the connecting D to the point A which is are a distance of 30m from D such the ∠ ADC=90 0 .

1. Which property of geometry will be used to find the distance AC?

a) Similarity of triangles

b) Thales Theorem

c) Pythagoras Theorem

d) Area of similar triangles

Answer: c)Pythagoras Theorem

2. What is the distance AC?

Answer: a) 50m

3. Which is the following does not form a Pythagoras triplet?

a) (7, 24, 25)

b) (15, 8, 17)

c) (5, 12, 13)

d) (21, 20, 28)

Answer: d) (21, 20, 28)

4. Find the length AB?

Answer: b) 38m

5. Find the length of the rope used.

Answer: c)82m

SCALE FACTOR

Case study:

A scale drawing of an object is the same shape at the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale factor

Scale factor= length in image / corresponding length in object

If one shape can become another using revising, then the shapes are similar. Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn. In the photograph below showing the side view of a train engine. Scale factor is 1:200

This means that a length of 1 cm on the photograph above corresponds to a length of 200cm or 2 m, of the actual engine. The scale can also be written as the ratio of two lengths.

1. If the length of the model is 11cm, then the overall length of the engine in the photograph above, including the couplings (mechanism used to connect) is:

Answer: a)22m

2. What will affect the similarity of any two polygons?

a) They are flipped horizontally

b) They are dilated by a scale factor

c) They are translated down

d) They are not the mirror image of one another.

Answer: d)They are not the mirror image of one another

3. What is the actual width of the door if the width of the door in photograph is 0.35cm?

Answer: a)0.7m

4. If two similar triangles have a scale factor 5:3 which statement regarding the two triangles is true?

a) The ratio of their perimeters is 15:1

b) Their altitudes have a ratio 25:15

c) Their medians have a ratio 10:4

d) Their angle bisectors have a ratio 11:5

Answer: b)Their altitudes have a ratio 25:15

5. The length of AB in the given figure:

Answer: c)4cm

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

Get here latest School , CBSE and Govt Jobs notification in English and Hindi for Sarkari Naukari and Sarkari Result . Download the Jagran Josh Sarkari Naukri App . Check  Board Result 2024  for Class 10 and Class 12 like  CBSE Board Result ,  UP Board Result ,  Bihar Board Result ,  MP Board Result ,  Rajasthan Board Result  and Other States Boards.

• TN DTE Result 2024
• UKSSSC Excise Inspector Result 2024
• OSSC Skill Test Admit Card 2024
• UPSC CSE Admit Card 2024
• UP Lok Sabha Election Result 2024
• Varanasi Lok Sabha Election Result 2024
• Asaduddin Owaisi vs Madhavi Latha
• Purnia Lok Sabha Election Result 2024
• Vidisha Lok Sabha Election Result 2024
• CBSE Study Material
• CBSE Class 10

Latest Education News

[OUT] NEET Topper List 2024: NTA Releases NEET UG State-wise Topper Names, AIR, Marks and Percentile

[LINK ACTIVE] JKBOSE Class 12th Result 2024 Declared at jkbose.nic.in, 74% Students Pass, Download JK Board Soft, Hard Zone Mark Sheet Here

Who is Leader of Opposition? Know Minimum Number of Seats Required for Leader of Opposition

Picture Puzzle IQ Test: 99% People Fail To Spot The Strawberry In 8 Seconds! Can You?

Brain Teaser: Think You're Sharp? Find the Secret Word "Jeep" in This Puzzle in 17 Seconds

Youth Fellowship Opportunity at SCM Apply now!

BPSC ITI Vice Principal Previous Year Paper: PDF Download

Optical Illusion: Find the odd couple in the picture in 7 seconds!

IBPS RRB 2024 Recruitment Notification OUT at ibps.in: Apply Online From Tomorrow, Check Exam Date, Eligibility

UPSC CSE Prelims Admit Card 2024 Live Updates: IAS Call Letter Download Link to be Active at upsc.gov.in

Brain Teaser IQ Test: Find the mistake in the couple picture in 3 seconds!

T20 World Cup 2024 Channel Number List: मोबाइल हो या टीवी कब और किस चैनल पर दिखेगा मैच?

T20 World Cup 2024 Match Time in India: अमेरिका में मैच का है यह टाइम तो भारत में किस समय देखें

[DECLARED] wbjee.nic.in Result 2024: Check Official Website Link for WBJEE Results Online, Latest Updates Here

TSPSC Group 1 Previous Year Paper: PDF Download

Hackers Target Chrome in India! Here's How to Secure Your PC Right Now

JKBOSE Class 12 Results 2024 Declared: Check Expected Date and Time, List of Websites Here

[Check] JKBOSE 12th Result 2024: JK Board Class 12 Result at jkresults.nic.in with Roll Number

JKBOSE Result 2024: JK Board Result at jkresults.nic.in with Roll Number

भारत के कौन-से नेता मुख्यमंत्री या मंत्री रहे बिना सीधे बने प्रधानमंत्री?

Class 10 Maths Case Study Questions Chapter 6 Triangles PDF Download

• Post author: studyrate
• Post published:
• Post category: class 10th
• Post comments: 0 Comments

Case study Questions in the Class 10 Mathematics Chapter 6  are very important to solve for your exam. Class 10 Maths Chapter 6 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 10 Maths Case Study Questions Chapter 6  Triangles

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Triangles Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 6 Triangles

Case Study/Passage-Based Questions

Case Study 1:

(i) What is the height of the tower?

Answer: (a) 100 m

(ii) What will be the length of the shadow of the tower when Meenal’s house casts a shadow of 15 m? 

Answer: (c) 75 m

(iii) Height of Aruns house is 

Answer: (d) 40 m

(iv) If the tower casts a shadow of 40 rn, then find the length of the shadow of Arun’s house 

Answer: (b) 17 m

(v) If the tower casts a shadow of 40 m, then what will be the length of the shadow of Meenal’s house? 

Answer: (d) 8 m

Case Study 2:

Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using a rope connecting B with another point C is a distance of 12m, connecting C to point D at a distance of 40m from point C, and connecting D to the point A which is are a distance of 30m from D such the  ∠ ADC=90 0 .

1. Which property of geometry will be used to find the distance AC?

a) Similarity of triangles

b) Thales Theorem

c) Pythagoras Theorem

d) Area of similar triangles

Answer: c)Pythagoras Theorem

2. What is the distance AC?

Answer: a) 50m

3. Which is the following does not form a Pythagoras triplet?

a) (7, 24, 25)

b) (15, 8, 17)

c) (5, 12, 13)

d) (21, 20, 28)

Answer: d) (21, 20, 28)

4. Find the length AB?

Answer: b) 38m

5. Find the length of the rope used.

Answer: c)82m

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 6 Triangles with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Triangles Case Study and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

You Might Also Like

Case study questions class 10 science chapter 8 how do organisms reproduce, extra questions of class 10 social science geography chapter 2 forests and wildlife resources pdf download.

Class 10 Maths Arithmetic Progression Notes by Toppers – Download PDF

Leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

CBSE Expert

CBSE Class 10 Maths Case Study Questions PDF

Download Case Study Questions for Class 10 Mathematics to prepare for the upcoming CBSE Class 10 Final Exam. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards.

CBSE Class 10 Mathematics Exam 2024  will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

Table of Contents

Chapterwise Case Study Questions for Class 10 Mathematics

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.

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

• Class 10th Science Case Study Questions
• Assertion and Reason Questions of Class 10th Science
• Assertion and Reason Questions of Class 10th Social Science

Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding.

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes.

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

Download India's best Exam Preparation App Now.

Key Features

• Revision Notes
• Important Questions
• Previous Years Questions
• Case-Based Questions
• Assertion and Reason Questions

No thanks, I’m not interested!

Class 10 Maths Chapter 6 Case Based Questions - Triangles

Case study - 1.

Case Study - 2

Vijay is trying to find the average height of a tower near his house. He is using the properties of similar triangles.The height of Vijay’s house if 20m when Vijay’s house casts a shadow 10m long on the ground. At the same time, the tower casts a shadow 50m long on the ground and the house of Ajay casts 20m shadow on the ground.

Q1: What is the height of the tower? (a) 20m (b) 50m (c) 100m (d) 200m Ans:  (c) Explanation: The properties of similar triangles state that the ratios of the corresponding sides of the triangles are equal. Hence the ratio of the height of Vijay's house to the length of its shadow equals to the ratio of the height of the tower to the length of its shadow. Therefore, the height of the tower can be calculated as follows: Height of the tower = (Height of Vijay's house / Length of Vijay's house's shadow) * Length of the tower's shadow = (20m / 10m) * 50m = 100m   Q2: What will be the length of the shadow of the tower when Vijay’s house casts a shadow of 12m? (a) 75m (b) 50m (c) 45m (d) 60m Ans:  (d) Explanation: Applying the same method, we can find the length of the shadow of the tower. Length of the tower's shadow = (Length of Vijay's house's shadow / Height of Vijay's house) * Height of the tower = (12m / 20m) * 100m = 60m   Q3: What is the height of Ajay’s house? (a) 30m (b) 40m (c) 50m (d) 20m Ans:  (b) Explanation: Similarly, the height of Ajay's house can be calculated as follows: Height of Ajay's house = (Height of Vijay's house / Length of Vijay's house's shadow) * Length of Ajay's house's shadow = (20m / 10m) * 20m = 40m   Q4: When the tower casts a shadow of 40m, same time what will be the length of the shadow of Ajay’s house? (a) 16m (b) 32m (c) 20m (d) 8m Ans: (a) Explanation: Length of Ajay's house's shadow = (Length of the tower's shadow / Height of the tower) * Height of Ajay's house = (40m / 100m) * 40m = 16m   Q5: When the tower casts a shadow of 40m, same time what will be the length of the shadow of Vijay’s house? (a) 15m (b) 32m (c) 16m (d) 8m Ans:  (d) Explanation: Length of Vijay's house's shadow = (Length of the tower's shadow / Height of the tower) * Height of Vijay's house = (40m / 100m) * 20m = 8m  

Top Courses for Class 10

Mock tests for examination, shortcuts and tricks, study material, objective type questions, previous year questions with solutions, video lectures, semester notes, extra questions, past year papers, viva questions, practice quizzes, important questions, sample paper.

Case Based Questions: Triangles Free PDF Download

Importance of case based questions: triangles, case based questions: triangles notes, case based questions: triangles class 10, study case based questions: triangles on the app, welcome back, create your account for free.

Forgot Password

Unattempted tests, change country, practice & revise.

Not Able To Find Desired Paper or Worksheet SEARCH

Find papers & worksheets search, class 10 case study questions with answers - triangles.

• Mathematics

• (0) Comments
• 15 Downloads

Related Papers

Click to view more related papers, display_name = "class 11" && $paper->display_name = "class 12") { // echo $paper->display_name." questions papers and worksheets"; } //else { // echo $paper->display_name." sample papers and previous year papers"; //} //>, cbse worksheets for class 10 maths.

Download free printable worksheets for CBSE Class 10 Maths with important chapter wise questions as per Latest NCERT Syllabus. These Worksheets help Grade 10 students practice Maths Important Questions and exercises on various topics like Coordinate Geometry, Probability, Quadratic Equations, Statistics, Surface Area, Arithmetic Progression, Polynomials, Linear Equation in two Variables, Real Numbers. These free PDF download of Class 10 Maths worksheets consist of visual simulations to help your child visualize concepts being taught and reinforce their learning.

Get free Kendriya Vidyalaya Class 10 Maths Worksheets shared by teachers, parents & students to understand the concepts. All the necessary topics are covered in these 10th grade worksheets. These class 10 Maths worksheets provide skills and experience necessary to ace in Exams

Total Papers :

CBSE Class 10 Maths Syllabus

• Real Numbers
• Polynomials
• Pair of Linear Equations in Two Variables
• Quadratic Equations
• Arithmetic Progressions
• Coordinate Geometry
• Probability
• Introduction to Trigonometry
• Some Applications of Trigonometry
• Constructions
• Area Related to Circles
• Surface Areas and Volumes

UNIT I: NUMBER SYSTEMS

1. REAL NUMBER

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality.

UNIT II: ALGEBRA

• POLYNOMIALS Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
• PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.
• QUADRATIC EQUATIONS Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.
• ARITHMETIC PROGRESSIONS Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

UNIT III: COORDINATE GEOMETRY Coordinate Geometry Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

UNIT IV: GEOMETRY

• TRIANGLES Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3.(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4.(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5.(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
• CIRCLES Tangent to a circle at, point of contact 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2.(Prove) The lengths of tangents drawn from an external point to a circle are equal.

UNIT V: TRIGONOMETRY

• INTRODUCTION TO TRIGONOMETRY Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0° and 90°. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios.
• TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin2A + cos2A = 1 . Only simple identities to be given.
• HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

UNIT VI: MENSURATION

• AREAS RELATED TO CIRCLES Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.
• SURFACE AREAS AND VOLUMES Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

• STATISTICS Mean, median and mode of grouped data (bimodal situation to be avoided).
• PROBABILITY (10) Periods Classical definition of probability. Simple problems on finding the probability of an event.

PRESCRIBED BOOKS:

• Mathematics - Textbook for class IX - NCERT Publication
• Mathematics - Textbook for class X - NCERT Publication
• Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
• Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
• Laboratory Manual - Mathematics, secondary stage - NCERT Publication
• Mathematics exemplar problems for class IX, NCERT publication.
• Mathematics exemplar problems for class X, NCERT publication.

Structure of CBSE Maths Sample Paper for Class 10 is

For Preparation of board exams students can also check out other resource material

CBSE Class 10 Maths Sample Papers

Important Questions for Class 10 Maths Chapter Wise

Maths Revision Notes for class 10

Previous Year Question Paper CBSE Class 10 Maths

Worksheets of Other Subjects of Class 10

Why do one Children need Worksheets for Practice ?

It is very old saying that one can build a large building if the foundation is strong and sturdy. This holds true for studies also. Worksheets are essential and help students in the in-depth understanding of fundamental concepts. Practicing solving a lot of worksheets, solving numerous types of questions on each topic holds the key for success. Once basic concepts and fundamentals have been learnt, the next thing is to learn their applications by practicing problems. Practicing the problems helps us immensely to gauge how well we have understood the concepts.

There are times when students just run through any particular topic with casual awareness there by missing out on a few imperative “between the lines” concepts. Such things are the major causes of weak fundamental understandings of students. So in such cases Worksheets act as a boon and critical helpful tool which gauges the in-depth understanding of children highlighting doubts and misconceptions, if any.

Worksheets classifies the important aspects of any topic or chapter taught in the class in a very easy manner and increases the awareness amongst students.When students try to solve a worksheet they get to understand what are the key important factors which needs the main focus.Sometimes it happens that due to shortage of time all the major points of any particular topic gets skipped in the class or teacher rushes through , due to shortage of time. A worksheet thus provides a framework for the entire chapter and can help covering those important aspects which were rushed in the class and ensure that students record and understand all key items.

In a class of its say 40 students howsoever teacher tries to be active and work towards making each student understand whatever she has to teach in the class but there are always some students who tend to be in their own world and they wander in their thoughts.Worksheets which are provided timely to all the students, causes them to focus on the material at hand. it’s simply the difference between passive and active learning. Worksheets of this type can be used to introduce new material, particularly material with many new definitions and terms.

Worksheets help students be focussed and attentive in the class because they know after the class is over they will be assigned a worksheet which they need to solve so if they miss or skip any point in the class they may not be able to solve the worksheet completely and thereby lose reputation in the class.

Often students revise the chapter at home reading their respective textbooks. Thus more often than not they do miss many important points. Worksheets thus can be used intentionally to help guide student’s to consult textbooks. Having students write out responses encourages their engagement with the textbooks, the questions chosen indicate areas on which to focus. Explicitly discussing the worksheets and why particular questions are asked helps students reflect on what is important.

Worksheets of Other Classes

To Prepare better for CBSE paperclass; ?> " title="Download Free CBSE Papers">Ribblu.com brings to you all the previous years papers & worksheets of subject; ?//> for CBSE paperclass; ?>. This CBSE paper and worksheet can be instrumental in students achieving maximum marks in their exams. These Papers and worksheets help students gain confidence and make them ready to face their school examinations. These Papers and worksheets school wise, covers important concepts from an examination perspective. Students and parents can download all the available papers & worksheets directly in the form of PDF. One can use these papers and worksheets to get extensive practice and familiarise themselves with the format of the question paper.

You can help other users

Be the first to write comment .

Upload papers and the more your paper get downloaded the more you earn the points

You may send papers on email [email protected] along with userid

• Downloaded by: Bhuvi Ram
• Downloaded by: Tejideep Matharoo

Rules and regulations for uploads

Write your comment, report this paper, how to earn points.

Upload Papers / Worksheets and Earn 50 Points.

The uploaded material should be original paper or worksheet of any school. Check out some videos on how to upload papers on ribblu

Rate & Review your school and Earn 25 Points.

Review any school that you may be knowing and once your review is approved, you will be credited with 25 points.

Answer on question posted on JustAsk and earn 15 points.

JustAsk is a platform where you can help others to find answers of any question. Share your Knowledge. Answer questions and once approved you will earn 15 points

Complete your profile and earn upto 25 Points.

Edit and complete your user profile and earn points. The more details you submit, the more points you will earn.

Download Ribblu Mobile App and you will (Earn 20 Points) (one time only)

CBSE Schools

• CBSE Schools In Delhi
• CBSE Schools In Noida
• CBSE Schools In Greater Noida
• CBSE Schools In Faridabad
• CBSE Schools In Ghaziabad
• CBSE Schools In Gurgaon
• CBSE Schools In Mumbai
• CBSE Schools In Pune
• CBSE Schools In Bangalore
• CBSE Schools In Hyderabad
• CBSE Schools In Kolkata
• CBSE Schools In Chennai
• CBSE Schools In Patna
• CBSE Schools In Meerut
• CBSE Schools In Kanpur
• CBSE Schools In Indore
• CBSE Schools In Ludhiana
• CBSE Schools In Dehradun

Top Schools

• Schools In Delhi
• Schools In Noida
• Schools In Greater Noida
• Schools In Faridabad
• Schools In Ghaziabad
• Schools In Gurgaon
• Schools In Mumbai
• Schools In Pune
• Schools In Bangalore
• Schools In Hyderabad
• Schools In Kolkata
• Schools In Chennai
• Schools In Patna
• Schools In Meerut
• Schools In Kanpur
• Schools In Indore
• Schools In Ludhiana
• Schools In Dehradun

Other Schools

• Pre Nursery Schools In Noida
• Day Boarding Schools In Noida
• Pre Nursery Schools In Gurgaon
• Pre Nursery Schools In Delhi
• Play Schools In Delhi
• Day Boarding Schools In Delhi

CBSE Papers

• CBSE Class 1 Sample Papers
• CBSE Class 2 Sample Papers
• CBSE Class 3 Sample Papers
• CBSE Class 4 Sample Papers
• CBSE Class 5 Sample Papers
• CBSE Class 6 Sample Papers
• CBSE Class 7 Sample Papers
• CBSE Class 8 Sample Papers

Paper Categories

• Question Bank
• Question Papers
• Revision Notes
• Sample Papers
• Test Papers
• CBSE Class 9 Sample Papers
• CBSE Class 10 Sample Papers
• CBSE Class 11 Sample Papers
• CBSE Class 12 Sample Papers

• Andhra Pradesh
• Chhattisgarh
• West Bengal
• Madhya Pradesh
• Maharashtra
• Jammu & Kashmir
• NCERT Books 2022-23
• NCERT Solutions
• NCERT Notes
• NCERT Exemplar Books
• NCERT Exemplar Solution
• States UT Book
• School Kits & Lab Manual
• NCERT Books 2021-22
• NCERT Books 2020-21
• NCERT Book 2019-2020
• NCERT Book 2015-2016
• RD Sharma Solution
• TS Grewal Solution
• TR Jain Solution
• Selina Solution
• Frank Solution
• Lakhmir Singh and Manjit Kaur Solution
• I.E.Irodov solutions
• ICSE - Goyal Brothers Park
• ICSE - Dorothy M. Noronhe
• Sandeep Garg Textbook Solution
• Micheal Vaz Solution
• S.S. Krotov Solution
• Evergreen Science
• KC Sinha Solution
• ICSE - ISC Jayanti Sengupta, Oxford
• ICSE Focus on History
• ICSE GeoGraphy Voyage
• ICSE Hindi Solution
• ICSE Treasure Trove Solution
• Thomas & Finney Solution
• SL Loney Solution
• SB Mathur Solution
• P Bahadur Solution
• Narendra Awasthi Solution
• MS Chauhan Solution
• LA Sena Solution
• Integral Calculus Amit Agarwal Solution
• IA Maron Solution
• Hall & Knight Solution
• Errorless Solution
• Pradeep's KL Gogia Solution
• OP Tandon Solutions
• Sample Papers
• Previous Year Question Paper
• Value Based Questions
• CBSE Syllabus
• CBSE MCQs PDF
• Assertion & Reason
• New Revision Notes
• Revision Notes
• HOTS Question
• Marks Wise Question
• Toppers Answer Sheets
• Exam Paper Aalysis
• Concept Map
• CBSE Text Book
• Additional Practice Questions
• Vocational Book
• CBSE - Concept
• KVS NCERT CBSE Worksheets
• Formula Class Wise
• Formula Chapter Wise
• JEE Crash Course
• JEE Previous Year Paper
• Important Info
• JEE Mock Test
• JEE Sample Papers
• SRM-JEEE Mock Test
• VITEEE Mock Test
• BITSAT Mock Test
• Manipal Engineering Mock Test
• AP EAMCET Previous Year Paper
• COMEDK Previous Year Paper
• GUJCET Previous Year Paper
• KCET Previous Year Paper
• KEAM Previous Year Paper
• Manipal Previous Year Paper
• MHT CET Previous Year Paper
• WBJEE Previous Year Paper
• AMU Previous Year Paper
• TS EAMCET Previous Year Paper
• SRM-JEEE Previous Year Paper
• VITEEE Previous Year Paper
• BITSAT Previous Year Paper
• UPSEE Previous Year Paper
• CGPET Previous Year Paper
• CUSAT Previous Year Paper
• AEEE Previous Year Paper
• Crash Course
• Previous Year Paper
• NCERT Based Short Notes
• NCERT Based Tests
• NEET Sample Paper
• Previous Year Papers
• Quantitative Aptitude
• Numerical Aptitude Data Interpretation
• General Knowledge
• Mathematics
• Agriculture
• Accountancy
• Business Studies
• Political science
• Enviromental Studies
• Mass Media Communication
• Teaching Aptitude
• NAVODAYA VIDYALAYA
• SAINIK SCHOOL (AISSEE)
• Mechanical Engineering
• Electrical Engineering
• Electronics & Communication Engineering
• Civil Engineering
• Computer Science Engineering
• CBSE Board News
• Scholarship Olympiad
• School Admissions
• Entrance Exams
• All Board Updates
• Miscellaneous
• State Wise Books
• Engineering Exam
• STATE WISE BOOKS
• ENGINEERING EXAM
• SCHOLARSHIP OLYMPIAD
• STATE BOOKS

CBSE Class 10 Maths Case Study

CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

CBSE Class 10 Results 2024 : CBSE Class 10 Answer Book Photocopy Applications Open

CBSE 10th 2024-25 : Social Science Official Competency Focused Practice Questions released by CBSE

CBSE Class 10 Revaluation Application 2024 Process Begins : How to Apply, Fees, Direct Link & Step-by-Step Guide

CBSE Class 10 Result 2024 Latest Update : Verification of Marks, Revaluation & Photocopy of Answer Sheet; Check Complete Process

CBSE Class 10 Result 2024 Out: 93.60% Pass Percentage, JNV and Kendriya Vidyalaya shine with 99.09% score

CBSE Class 10th Result 2024 Out : Supplementary, Re-verification & Re-evaluation Date Released; Check Details Here

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 10 Maths
• CBSE Syllabus 2023-24
• Social Media Channels
• Login Customize Your Notification Preferences

• Second click on the toggle icon

Provide prime members with unlimited access to all study materials in PDF format.

Allow prime members to attempt MCQ tests multiple times to enhance their learning and understanding.

Provide prime users with access to exclusive PDF study materials that are not available to regular users.

• Class 6 Maths
• Class 6 Science
• Class 6 Social Science
• Class 6 English
• Class 7 Maths
• Class 7 Science
• Class 7 Social Science
• Class 7 English
• Class 8 Maths
• Class 8 Science
• Class 8 Social Science
• Class 8 English
• Class 9 Maths
• Class 9 Science
• Class 9 Social Science
• Class 9 English
• Class 10 Maths
• Class 10 Science
• Class 10 Social Science
• Class 10 English
• Class 11 Maths
• Class 11 Computer Science (Python)
• Class 11 English
• Class 12 Maths
• Class 12 English
• Class 12 Economics
• Class 12 Accountancy
• Class 12 Physics
• Class 12 Chemistry
• Class 12 Biology
• Class 12 Computer Science (Python)
• Class 12 Physical Education
• GST and Accounting Course
• Excel Course
• Tally Course
• Finance and CMA Data Course
• Payroll Course

Interesting

• Learn English
• Learn Excel
• Learn Tally
• Learn GST (Goods and Services Tax)
• Learn Accounting and Finance
• GST Tax Invoice Format
• Accounts Tax Practical
• Tally Ledger List
• GSTR 2A - JSON to Excel

Are you in school ? Do you love Teachoo?

We would love to talk to you! Please fill this form so that we can contact you

You are learning...

Chapter 6 Class 10 Triangles

Click on any of the links below to start learning from Teachoo ...

Updated for new NCERT 2023-2024 Edition.

Get NCERT Solutions of Chapter 6 Class 10 Triangles free at teachoo. Solutions to all NCERT Exercise Questions, Examples, Theorems, Optional Exercises are available with Videos of each and every question.

We have studied Congruency of Triangles in Class 9 .

In this chapter, we will learn

• What are Similar figures
• Difference between Congruency and Similarity
• Basic Proportionality Theorem (BPT) - with Proof (Theorem 6.1)
• Inverse of Basic Proportionality Theorem - with Proof (Theorem 6.2)
• AAA (Angle Angle Angle) Similarity i.e. all 3 angles equal, with Proof (Theorem 6.3)
• Is AA and AAA t he same?
• SSS (Side Side Side) Similarity i.e. all 3 sides in proportion, with Proof (Theorem 6.4)
• SAS (Side Angle Side) Similarity, i.e. 2 sides in proportion, and 1 angle between them equal - with Proof (Theorem 6.5)
• Ratios of areas of two similar triangles  is equal to square of ratio of their corresponding sides  - with Proof (Theorem 6.6)
• Theorem 6.7 - If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other
• Pythagoras Theorem Proof (Theorem 6.8)

Click on a link below to start doing the chapter.

Serial order wise

Concept wise.

What's in it?

Hi, it looks like you're using AdBlock :(

Please login to view more pages. it's free :), solve all your doubts with teachoo black.

myCBSEguide

• Mathematics
• Case Study Class 10...

Case Study Class 10 Maths Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

• CBSE Class 10 Maths Sample Paper 2020-21
• Class 12 Maths Case Study Questions
• CBSE Reduced Syllabus Class 10 (2020-21)
• Class 10 Maths Basic Sample Paper 2024
• How to Revise CBSE Class 10 Maths in 3 Days
• CBSE Practice Papers 2023
• Class 10 Maths Sample Papers 2024
• Competency Based Learning in CBSE Schools

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

• Neet Online Test Pack

12th Standard stateboard question papers & Study material

தமிழ் subjects.

கணினி பயன்பாடுகள்

கணினி அறிவியல்

வணிகக் கணிதம் மற்றும் புள்ளியியல்.

கணினி தொழில்நுட்பம்

கணக்குப்பதிவியல்

English Subjects

Computer Science

Business Maths and Statistics

Accountancy

Computer Applications

Computer Technology

11th Standard stateboard question papers & Study material

9th Standard stateboard question papers & Study material

Social Science

சமூக அறிவியல்

6th standard stateboard question papers & study material.

10th Standard stateboard question papers & Study material

7th Standard stateboard question papers & Study material

8th Standard stateboard question papers & Study material

கணிதம் - old

12th Standard CBSE Subject Question Paper & Study Material

Introductory Micro and Macroeconomics

Business Studies

Indian Society

Physical Education

Bio Technology

Engineering Graphics

Entrepreneurship

Hindi Elective

Home Science

Legal Studies

Political Science

11th Standard CBSE Subject Question Paper & Study Material

Mathematics

Enterprenership

Applied Mathematics

10th standard cbse subject question paper & study material.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

• Exercise 6.1
• Exercise 6.2
• Exercise 6.3
• Exercise 6.4
• Exercise 6.5
• Exercise 6.6

NCERT Solutions for Class 10 Maths Chapters:

How many exercises in chapter 6 triangles, what do you mean by aa or aaa similarity criterion, what is rhs similarity criterion, what is converse of pythagoras theorem, contact form.

Case Study Based Questions – Class 10 Maths

CBSE has recently added Case Study Based Questions or CSQ in Maths, Science and Social Science. You can visit this article to get to practice the official Sample Papers released by CBSE by clicking  over here . Also do join out telegram channel to get all the updates and to participate in Quiz by  clicking here.

What is Case Study Based Questions or CSQ?

Case Study Based or CSQ are typically questions in which the paragraph or passage is given and you simply have to answer them. This questions are not very tough to solve and are introduced so that you score better marks as schools and tuition are kept closed due to the COVID Pandemic. As a result, this had to be introduced. This is resulting to us, by having 34 MCQ which is really very good for scoring 100/100 in CBSE.

How to start preparing for CSQ’s?

To start preparing for CSQ you will need to learn all the chapters very thoroughly especially all the chapters of Geometry. CSQ from Maths can include a mixture of many chapters thus preparing all the concepts is must. They will surely be helpful. After completing all your syllabus you will need to practice a lot. So scroll below to find more than 15 Case study based question.

Is it Easy, Hard or Moderate?

This questions are very simple if practiced at least 20-25 questions than you can easily score lot of good marks or you can score full in Maths!! Practice all the questions below.

How much time to give to each CSQ?

You will be getting 4 Case Study Question’s each would be having 5 sub questions out of which you have to just do 4 questions. So find the shortest and most theoretical question as theoretical questions doesn’t required much solving and it will not even take 1 min to solve. Each question should not take more than 6 min, resulting to only 24 min for 16 questions which is enough. Solving as many CSQ helps in better understanding and reducing the time for each question.

Below are more than 15 examples of CSQ’s for Maths!

1st Case Study Based Question

Shankar is having a triangular open space in his plot. He divided the land into three parts by drawing boundaries PQ and RS which are parallel to BC. Other measurements are as shown in the figure.

• What is the area of this land? i) 120 m 2 ii) 60 m 2 iii) 20 m 2 iv) 30 m 2
• What is the length of PQ? i) 2.5 m ii) 5 m iii) 6 m iv) 8 m
• The length of RS is i) 5 m ii) 6 m iii) 8 m iv) 4 m
• Area of △APQ is i) 7.5 m 2 ii) 10 m 2 iii) 3.75 m 2 iv) 5 m 2
• What is the area of △ARS? i) 21.6 m 2 ii) 10 m 2 iii) 3.75 m 2 iv) 6 m 2

2nd Case Study Based Question

There is some fire incident in the house. The fireman is trying to enter the house from the window as the main door is locked. The window is 6 m above the ground. He places a ladder against the wall such that its foot is at a distance of 2.5 m from the wall and its top reaches the window.

• Here, be the ladder and be the wall with the window. i) CA, AB ii) AB, AC iii) AC, BC iv) AB, BC
• We will apply Pythagoras Theorem to find length of the ladder. It is: i) AB 2 = BC 2 – CA 2 ii) CA 2 = BC 2 + AB 2 iii) BC 2 = AB 2 + CA 2 iv) AB 2 = BC 2 + CA 2
• The length of the ladder is              . i) 4.5 m ii) 2.5 m iii)6.5 m iv) 5.5 m
• What would be the length of the ladder if it is placed 6 m away from the wall and the window is 8 m above the ground? i) 12 m ii) 10 m iii) 14 m iv) 8 m
• How far should the ladder be placed if the fireman gets a 9 m long ladder? i) 6.7 m (approx.) ii) 7.7 m (approx.) iii) 5.7 m (approx.) iv) 4.7 m (approx.)

3rd Case Study Based Question

In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak(D) planted their flower plants of Rose, Sunflower, Champa and Jasmine respectively as shown in the following figure. A fifth student Eshan wanted to plant her flower in this area. The teacher instructed Eshan to plant his flower plant at a point E such that CE: EB = 3 : 2.

• Find the coordinates of point E where Eshan has to plant his flower plant. i) (5, 6) ii) (6, 5) iii) (5, 5) iv) (6, 7)
• Find the area of △ECD. i) 9.5 square unit ii) 11.5 square unit iii) 10.5 square unit iv)12.5 square unit
• Find the distance between the plants of Ajay and Deepak. i) 8.60 unit ii) 6.60 unit iii) 5.60 unit iv) 7.60 unit
• The distance between A and B is: i) 5.5 units ii) 7 units iii) 6 units iv) 5 units
• The distance between C and D is: i) 5.5 units ii) 7 units iii) 6 units iv) 5 units

4rth Case Study Based Questions

SUN ROOM The diagrams show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sunroom are square clear glass panels. The roof is made using

• Four clear glass panels, trapezium in shape, all the same size.
• One tinted glass panel, half a regular octagon in shape

• Find the mid-point of the segment joining the points J (6, 17) and I (9, 16).[Refer to Top View] i) ( 33/2 , 15/2 ) ii) ( 3/2 , 1/2 ) iii) ( 15/2 , 33/2 ) iv) ( 1/2 , 3/2 )
• The distance of the point P from the y-axis is; [Refer to Top View] i) 4 ii) 15 iii) 19 iv) 25
• The distance between the points A and S is: [Refer to Front View] i) 4 ii) 8 iii) 16 iv) 20
• Find the coordinates of the point which divides the line segment joining the points A and B in the ratio 1:3 internally. [Refer to Front View] i) (8.5, 2.0) ii) (2.0, 9.5) iii) (3.0, 7.5) iv) (2.0, 8.5)
• If a point (x,y) is equidistant from the Q(9,8) and S(17,8), then [Refer to Front View] i) x + y = 13 ii) x – 13 = 0 iii) y – 13 = 0 iv) x – y = 13

5th Case Study based Question

Education with vocational training is helpful in making a student self-reliant and to help and serve the society. Keeping this in view, a teacher made the following table giving the frequency distribution of a student undergoing vocational training from the training institute.

• Median class of above data: i) 20 – 24 ii) 20.5 – 24.5 iii) 19.5 – 24.5 iv) 24.5 – 29.5
• Calculate the median. i) 24.06 ii) 30.07 iii) 24.77 iv) 42.07
• The empirical relationship between mean, median, mode: i) Mode = 3 Median + 2 Mean ii) Mode = 3 Median – 2 Mean iii) Mode = 3 Mean + 2 Median iv) 3 Mode = Median – 2 Mean
• If mode = 80 and mean = 110, then find the median. i) 200 ii) 500 iii) 190 iv) 100
• The mode is the: i) middlemost frequent value ii) least frequent value iii) maximum frequent value iv) none of these

6th Case Study Based Question

Two brothers Ramesh and Pulkit were at home and have to reach School. Ramesh went to Library first to return a book and then reaches School directly whereas Pulkit went to Skate Park first to meet his friend and then reaches School directly.

• How far is School from their Home? i) 5 m ii) 3 m iii) 2 m iv) 4 m
• What is the extra distance travelled by Ramesh in reaching his School? i) 4.48 metres ii) 6.48 metres iii) 7.48 metres iv) 8.48 metres
• What is the extra distance travelled by Pulkit in reaching his School? (All distances are measured in metres as straight lines) i) 6.33 metres ii) 7.33 metres iii) 5.33 metres iv) 4.33 metres
• The location of the library is: i) (-1, 3) ii) (1, 3) iii) (3, 1) iv) (3, -1)
• The location of the Home is: i) (4, 2) ii) (1, 3) iii) (4, 5) iv) (5,4)

7th Case Study Based Question

The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar is planted on the boundary of the plot at a distance of 1m from each other. There is a triangular grassy lawn inside the plot as shown in Fig. The students have to sow seeds of flowering plants on the remaining area of the plot.

• Considering A as the origin, what are the coordinates of A? i) (0, 1) ii) (1, 0) iii) (0, 0) iv (-1, -1)
• What are the coordinates of P? i) (4, 6) ii) ( 6, 4) iii) (4, 5) iv) (5, 4)
• What are the coordinates of R? i) (6, 5) ii) (5, 6) iii) ( 6, 0) iv) (7, 4)
• What are the coordinates of D? i) (16, 0) ii) (0, 0) iii) (0, 16) iv) (16, 1)
• What are the coordinates of P if D is taken as the origin? i) (12, 2) ii) (-12, 6) iii) (12, 3) iv) (6, 10)

8th Case Study Based Question

There exist a tower near the house of Shankar. The top of the tower AB is tied with steel wire and on the ground, it is tied with string support. One day Shankar tried to measure the longest of the wire AC using Pythagoras theorem.

• In the figure, the length of wire AC is: (take BC = 60 ft) i) 75 ft ii) 100 ft iii) 120 ft iv) 90 ft
• What is the area of △ABC? i) 2400 ft 2 ii) 4800 ft 2 iii) 6000 ft 2 iv) 3000 ft 2
• What is the length of the wire PC? i) 20 ft ii) 30 ft iii) 25 ft iv) 40 ft
• What is the length of the hypotenuse in △ABC? i) 100 ft ii) 80 ft iii) 60 ft iv) 120 ft
• What is the area of a △POC? 100 ft 2 150 ft 2 200 ft 2 250 ft 2

9th Case Study Based Question

• SCALE FACTOR AND SIMILARITY SCALE FACTOR: A scale drawing of an object is the same shape as the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. SIMILAR FIGURES: The ratio of two corresponding sides in similar figures is called the scale factor. Hence, two shapes are Similar when one can become the other after a resize, flip, slide, or turn.

• A model of a boat is made on a scale of 1:4. The model is 120cm long. The full size of the boat has a width of 60cm. What is the width of the scale model? i) 20 cm ii) 25 cm iii) 15 cm iv) 240 cm
• What will affect the similarity of any two polygons? i) They are flipped horizontally ii) They are dilated by a scale factor iii) They are translated down iv) They are not the mirror image of one another
• If two similar triangles have a scale factor of a: b. Which statement regarding the two triangles is true? i) The ratio of their perimeters is 3a: b ii) Their altitudes have a ratio a: b iii) Their medians have a ratio a/2:b iv)Their angle bisector have a ration a 2 :b 2
• The shadow of a stick 5m long is 2m. At the same time, the shadow of a tree 12.5m high is: i) 3m ii)3.5m iii)4.5m iv)5m
• Below you see a student’s mathematical model of a farmhouse roof with measurements. The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a rectangular prism, EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT, and H is the middle of DT. All the edges of the pyramid in the model have a length of 12 m.

What is the length of EF, where EF is one of the horizontal edges of the block? i) 24m ii) 3m iii) 6m iv) 10m

10th Case Study Based Question

An Aeroplan leaves an Airport and flies due north at 300 km/h. At the same time, another Aeroplan leaves the same Airport and flies due west at 400 km/h.

• Distance travelled by the first Airplane in 1.5 hours i) 450 km ii) 300 km iii) 150 km iv) 600 km
• Distance travelled by the second Airplane in 1.5 hours i) 450 km ii) 300 km iii) 150 km iv) 600 km
• Which of the following line segment shows the distance between both the airplane? i) OA ii) AB iii) OB iv) WB
• Which airplane travelled a long distance and by how many km? i) Second, 150 km ii) Second, 250 km iii) First, 150 km iv) First, 250 km
• How far apart the two airplanes would be after 1.5 hours? i) 600 km ii) 750 km iii) 300 km iv) 150 km

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.