case study questions class 10th exam 2020 21

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Case Study Questions Class 10 Maths with Solutions PDF Download

 case study questions class 10 maths pdf, case study questions class 10 maths with solutions, case study questions class 10 maths cbse chapter wise pdf download, how to solve case-based question in maths.

• First of all, a student needs to read the complete passage thoroughly. Then start solving the question
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• Sometimes the question is very tricky and you will find it very difficult to understand. In that case, Read the question and passage again and again.
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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

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Case Study Questions Class 10th Exam …

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ScoreMore Case Study Chapterwise Practice Questions Science Maths English and SST Class 10

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ScoreMore Case Study Chapter-wise Practice Questions Science, Maths, English, and SST Class 10 is extra ordinally outlined to assist the students to get aware of new CBSE pattern. This book contains nearly 1800+ Chapter-wise MCQs related to Case study/ Source based/ Passage based, Assertion & Reason and Analytical Paragraphs with hints and explanations as per the most recent syllabus of CBSE for the educational year 2021.

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MTG ScoreMore Case Study Chapterwise Practice Questions Science, Mathematics (Basic & Standard), English and Social Science for class 10 is specially designed to help students get familiar with solving new patterns of questions introduced by CBSE in these Subjects for Academic Year 2020-2021. Practising these questions will definitely help students to get an edge in their CBSE preparations. This book contains new questions based on the new pattern of questions (Case study/ Source/ Passage based, Assertion & Reason) as per the latest syllabus of CBSE for the academic year 2021. In English Language and Literature Class 10, CBSE has introduced a new topic called Analytical Paragraph writing this year. In Case study/Source/Passage based questions, students will be expected to answer questions after reading a given paragraph or a passage. Assertion and Reason type question is just another way of checking the clarity of one’s concept.

• 1. Chemical Reactions and Equations
• 2. Acids, Bases and Salt
• 3. Metals and Non-metals
• 4. Carbon and its Compounds
• 5. Periodic Classification of Elements
• 6. Life Processes
• 7. Control and Coordination*
• 8. How do Organisms Reproduce?
• 9. Heredity and Evolution
• 10. Light-Reflection and Refraction
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• 12. Electricity
• 13. Magnetic Effects of Electric Current
• 14. Sources of Energy*
• 15. Our Environment
• 16. Sustainable Management of Natural Resources*
• MATHEMATICS (BASIC & STANDARD)
• 1. Real Numbers
• 2. Polynomials
• 3. Pair of Linear Equations in Two Variables
• 4. Quadratic Equations
• 5. Arithmetic Progressions
• 6. Triangles
• 7. Coordinate Geometry
• 8. Introduction to Trigonometry
• 9. Some Applications of Trigonometry
• 10. Circles
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• Unit 2 : Contemporary India-II
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• Unit 4 : Understanding Economic Development
• *This chapter is not a part of the Board Examination 2020-21 syllabus
• #Case study is not possible in the chapter

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CBSE 10th Maths Exam 2021 : Case Study Questions with Answers

In class 10th board exams 2021, students will observe new types of case study questions. For the first time, the board has introduced the case study questions in the board exam. we have provided the chapters-wise case study question with answers.

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• CBSE Class 10th Maths Exam 2024 : Most Expected Question For Last Minute Revision 8 March, 2024, 6:19 pm
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MCQs from CBSE MODEL PAPER Chapter 211:CASE STUDY QUESTIONS CLASS 10TH EXAM 2020-21 for Class 10

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All Exercises from CBSE MODEL PAPER Class 10 PHYSICS CASE STUDY QUESTIONS CLASS 10TH EXAM 2020-21

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CBSE Class 10 Maths Question Paper with Solutions 2020

Mathematics is a subject where a student can score 100 out of 100 marks. Some students have scored full marks. So, students who have to appear for the class 10 board exam or are aspiring to achieve a full score in Mathematics subject must go through the CBSE Previous Years Question Papers . Solving the last year question papers helps students understand the exam pattern, recent changes brought about in the question paper and type of questions asked in the exam. To help students with their exam preparation, here we have provided the CBSE Class 10 Maths Question Paper Solution 2020.

Download Solution Set 30/1/1 PDF

Download Question Paper 2020 Set 30/1/1

Access CBSE Class 10 Maths Question Paper Solutions 2020 – All Sets

The solution pdf contains the answers to all the questions provided in the paper. The answers are explained in detail and simple language for students convenience. They can download the question paper and solution pdf of all sets of CBSE Class 10 Mathematics Standard and Basic Paper 2020 from the table below:

Solving these sets of 2020 Maths paper will provide a good revision to students before the exam. Also, they will get to know the types of questions likely to be asked in the exam.

Keep learning and stay tuned for further updates on CBSE Exam. Download the BYJU’S App and subscribe to YouTube Channel to access interactive study videos.

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Top Case-Based Questions: Last Minute Prep for CBSE Class 10 Maths Exam

Cracking case studies: conquer your cbse class 10 maths exam (2023-24 session).

With the CBSE Class 10 board exams just around the corner ( March 11th, 2024 !), many students feel a surge of anxiety, especially when it comes to case-based questions in Maths. The lengthy descriptions can be daunting, making them seem complex. But fear not! Case-based questions are actually a great opportunity to showcase your problem-solving skills, provided your foundational concepts are strong.

This blog post is your one-stop guide to mastering case studies in your upcoming Maths exam. The CBSE board format incorporates 3 case study questions , each worth a total of 4 marks (broken down as 1+1+2). To help you ace these questions, I've compiled a list of practice problems directly from the official CBSE sample papers. By familiarizing yourself with these case studies before the big day, you'll be well-equipped to tackle them with confidence. So, let's dive in and conquer those case studies!

Also See: 🎯  Class 10 Maths (Standard) Topper's Answer Sheet (2023)  ✨

Q. No. 1) Manpreet Kaur is the national record holder for women in the shot-put discipline. Her throw of 18.86m at the Asian Grand Prix in 2017 is the maximum distance for an Indian female athlete. Keeping her as a role model, Sanjitha is determined to earn gold in the Olympics one day.

Initially, her throw reached 7.56m only. Being an athlete in school, she regularly practiced both in the mornings and in the evenings and was able to improve the distance by 9cm every week.

During the special camp for 15 days, she started with 40 throws and every day kept increasing the number of throws by 12 to achieve this remarkable progress.

(i) How many throws Sanjitha practiced on 11th day of the camp?

(ii) What would be Sanjitha’s throw distance at the end of 6 weeks?

When will she be able to achieve a throw of 11.16 m?

(iii) How many throws did she do during the entire camp of 15 days?

Ans. (i) Number of throws during camp. a = 40; d = 12 𝑡 11 = 𝑎 + 10𝑑 = 40 + 10 × 12 = 160 𝑡ℎ𝑟𝑜𝑤𝑠

(ii) a = 7.56 m; d = 9cm = 0.09 m n = 6 weeks t n = a + (n-1)d = 7.56 + 6(0.09) = 7.56 + 0.54 Sanjitha’s throw distance at the end of 6 weeks = 8.1 m

a = 7.56 m; d = 9cm = 0.09 m t n =11.16 m t n = a + (n-1) d 11.16 = 7.56 + (n-1) (0.09) 3.6 = (n-1) (0.09) n-1 = 3.6/0.09 = 40 n = 41 Sanjitha’s will be able to throw 11.16 m in 41 weeks.

(iii) a = 40; d = 12; n = 15 S n = n / 2 [2a + (n-1) d] Sn = 15 / 2 [2(40) + (15-1) (12)] = 15 / 2 [80 + 168] = 15 / 2 [248] =1860 throws

Q. No. 2) Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane.

(i) At an instance, the midfielders and forward formed a parallelogram. Find the position of the central midfielder (D) if the position of other players who formed the parallelogram are:- A(1,2), B(4,3) and C(6,6)

(ii) Check if the Goal keeper G(-3,5), Sweeper H(3,1) and Wing-back K(0,3) fall on a same straight line.

Check if the Full-back J(5,-3) and centre-back I(-4,6) are equidistant from forward C(0,1) and if C is the mid-point of IJ.

(iii) If Defensive midfielder A(1,4), Attacking midfielder B(2,-3) and Striker E(a,b) lie on the same straight line and B is equidistant from A and E, find the position of E.

Ans. (i) Let D be (a,b), then

Mid point of AC = Midpoint of BD

4 + a = 7 and 3+ b = 8

a = 3 and b = 5

Central midfielder is at (3,5)

iii. A, B and E lie on the same straight line and B is equidistant from A and E

⇒ B is the mid-point of AE

1 + 𝑎 = 4 ; a = 3.

4+b = -6; b = -10

E is (3,-10)

Q. No. 3) One evening, Kaushik was in a park. Children were playing cricket. Birds were singing on a nearby tree of height 80m. He observed a bird on the tree at an angle of elevation of 45°.

When a sixer was hit, a ball flew through the tree frightening the bird to fly away. In 2 seconds, he observed the bird flying at the same height at an angle of elevation of 30° and the ball flying towards him at the same height at an angle of elevation of 60°.

(i) At what distance from the foot of the tree was he observing the bird sitting on the tree?

(ii) How far did the bird fly in the mentioned time?

After hitting the tree, how far did the ball travel in the sky when Kaushik saw the ball?

(iii) What is the speed of the bird in m/min if it had flown 20(√3 + 1) m?

Ans. i. tan 45° = 80/CE

⇒ 1/√3 = 80/CE

⇒ CE = 80√3

Distance the bird flew = AD = BE = CE-CB = 80√3 – 80 = 80(√3 -1) m

tan 60° = 80/CG

⇒ √3 = 80/CG

⇒ CG = 80/√3

Distance the ball travelled after hitting the tree =FA=GB = CB -CG

GB = 80 - 80 / √3 = 80 (1- 1 / √3 ) m

iii. Speed of the bird = distance/time = 20(√3 + 1)/2 m/sec = 10(√3 + 1)m/sec = 10(√3 + 1) x 60 m/min = 600(√3 + 1) m/min

Q. No. 4) An interior designer, Sana, hired two painters, Manan and Bhima to make paintings for her buildings. Both painters were asked to make 50 different paintings each.

The prices quoted by both the painters are given below:

• Manan asked for Rs 6000 for the first painting, and an increment of Rs 200 for each following painting.
• Bhima asked for Rs 4000 for the first painting, and an increment of Rs 400 for each following painting.

(i) How much money did Manan get for his 25th painting? Show your work.

(ii) How much money did Bhima get in all? Show your work.

(iii) If both Manan and Bhima make paintings at the same pace, find the first painting for which Bhima will get more money than Manan. Show your steps.

(iii) Sana's friend, Aarti hired Manan and Bhima to make paintings for her at the same rates as for Sana. Aarti had both painters make the same number of paintings, and paid them the exact same amount in total.

How many paintings did Aarti get each painter to make? Show your work.

Ans. i. Notes that the amounts Manan is paid for each painting forms an AP.

Takes a = 6000, d = 200 and n = 25 to find the amount as

6000 + (25 - 1)200 = Rs 10800.

ii. Finds the total amount earned by Bhima as follows:

S 50 = 50/2 [2(4000) + (50 - 1)(400)]

Solves the above expression to find the total amount as Rs 6,90,000.

iii. Frames equation as follows:

6000 + ( n - 1)200 = 4000 + ( n - 1)400

Solves the above equation to find the value of n as 11 .

Writes that, since they both earn the same amount for the 11th painting, as Bhima's increment is more, Bhima gets more money than Manan for the 12th painting.

Assumes that the number of paintings required is n .

Frames equation as follows:

S n (Manan) = S n (Bhima)

=> 𝑛/2 [2(6000) + ( n -1)200] = 𝑛/2 [2(4000) + ( n -1)400]

Solves the equation from step 1 to find n as 21.

Q. No. 5) In the game of archery, a bow is used to shoot arrows at a target board. The player stands far away from the board and aims the arrow so that it hits the board.

One such board, which is divided into 4 concentric circular sections, is drawn on a coordinate grid as shown. Each section carries different points as shown in the figure. If an arrow lands on the boundary, the inner section points are awarded.

(i) After shooting two arrows, Rohan scored 25 points.

Write one set of coordinates for each arrow that landed on the target.

(ii) If one player's arrow lands on (2, 2.5), how many points will be awarded to the player? Show your work.

(iii) One of Rohan’s arrow landed on (1.2, 1.6). He wants his second arrow to land on the line joining the origin and first arrow such that he gets 10 points for it.

Find one possible pair of coordinates of the second arrow's landing mark. Show your work.

(iii) An arrow landed on the boundary and is worth 20 points. The coordinates of the landing mark were of the form ( m , - m ).

Find all such coordinates. Show your steps.

Ans. i. Writes two pairs of possible coordinates such that Rohan scored 20 and 5 points for them. For examples, (1.5, 0) and (3.5, 0).

ii. Finds the distance of (2, 2.5) from (0, 0) as:

√(4 + 6.25) = √10.25 units

Hence, concludes that 5 points will be awarded.

iii. Finds the distance of (1.2, 1.6) from the origin as:

√{(1.2) 2 + (1.6) 2 } = 2 units

Assumes that the second arrow lands on the boundary mark and writes that the ratio in which the first arrow divides the origin and the second arrow's landing mark is the ratio of their radii = 2:1.

Assumes the coordinates of the second arrow's landing mark as ( x , y ) and uses section formula to write:

(2𝑥+0/3 , 2𝑦+0/3) = (1.2, 1.6)

Solves the above equation to find the values of the coordinates of the second arrow's landing mark as (1.8, 2.4).

Identifies the distance between the origin and the coordinate ( m , -m ) as 2 units and uses the distance formula to write the equation as:

m 2 + (- m ) 2 = 22

Simplifies the above equation as 2 m 2 = 4.

Solves the above equation to get y as √2 and (-√2).

Finds the coordinates as (√2, -√2) and (-√2, √2)

Q. No. 6) A drone, is an aircraft without any human pilot and is controlled by a remote-control device. Its various applications include policing, surveillance, photography, precision agriculture, forest fire monitoring, river monitoring and so on.

David used an advanced drone with high resolution camera during an expedition in a forest region which could fly upto 100 m height above the ground level. David rode on an open jeep to go deeper into the forest. The initial position of drone with respect to the open jeep on which David was riding is shown below.

David’s jeep started moving to enter the forest at an average speed of 10 m/s. He Simultaneously started flying the drone in the same direction as that of the jeep.

(i) David reached near one of the tallest trees in the forest. He stopped the drone at a horizontal distance of 5√3 m from the top of the tree and at a vertical distance of 65 m below its maximum vertical range.

If the angle of elevation of the drone from the top of the tree was 30°, find the height of the tree. Show your work.

(ii) The drone was flying at a height of 30√3 metres at a constant speed in the horizontal direction when it spotted a zebra near a pond, right below the drone.

The drone travelled for 30 metres from there and it could see the zebra, at the same place, at an angle of depression of θ from it.

Draw a diagram to represent this situation and find θ . Show you work.

(iii) After 2 minutes of starting the expedition both the drone and the jeep stopped at the same moment so that the drone can capture some images. The position of the drone and the jeep when they stopped is as shown below.

Find the average speed of the drone in m/s rounded off upto 2 decimal places. Show your work.

(iii) At some point during the expedition, David kept the drone stationary for some time to capture the images of a tiger. The angle of depression from the drone to the tiger changed from 30° to 45° in 3 seconds as shown below.

What was the average speed of the tiger during that time? Show your work.

(Note: Take √3 as 1.73.)

Ans. Assumes the vertical distance between the top of the tree and the drone to be h and finds h as:

h = 5√3 × tan 30° = 5√3 × 1/√3 = 5 m

Finds the height of the tree as 100 - 65 - 5 = 30 m

Finds the value of θ as:

tan θ = 30√3/30 = √3

Thus finds the value of θ as 60°

iii. Assumes the horizontal distance between the remote and the drone as x and finds its value as:

x = 50√3/tan60° = 50 m

Finds the distance covered by the jeep in 2 mins as:

10 × 120 = 1200 m

Finds the horizontal distance covered by the drone before it stopped as:

1200 + 50 = 1250 m

Finds the speed of the drone as:

1250/120 = 10.42 m/s

Assumes the horizontal distance between the drone and the tiger to be x when the angle of depression was 30° and finds the value of x as:

x = 54√3 × tan 30° = 54√3 × 1/√3 = 54 m

Assumes the horizontal distance between the drone and the tiger after 3 seconds as y and finds the value of y as:

y = 54√3 × tan 45° = 54√3 m

Finds the distance covered by the tiger in 3 seconds as:

54√3 - 54 = 39.42 m

Finds the average speed of the tiger during that time as:

39.42/3 = 13.14 m/s

Q. No. 7) Shown below is the trophy shield Akshi received on winning an international Table tennis tournament. The trophy is made of a glass sector DOC supported by identical wooden right triangles ∆ DAO and ∆ COB. Also, AO = 7 cm and AO : DA = 1 ∶ √3 (Use √3 = 1.73)

Based on the given information, answer the following questions:

(i) Find ∠𝐷𝑂𝐶

(ii) Find the area of the wooden triangles

(iii) Find the area of the shape formed by the glass portion

If Akshi wants to decorate the boundary of the glass portion with glitter tape, then find the length of the tape she needs.

Ans. (i) Let ∠𝐷𝑂𝐴 = 𝜃, then tan 𝜃 =𝐴𝐷/𝐴𝑂 = √3/1 ⟹ 𝜃 = 60° ∠𝐷𝑂𝐴 = ∠𝐶𝑂𝐵 = 60° ∠𝐷𝑂𝐶 = 180° − (60° + 60°) = 60°

(ii) Area of two wooden triangles = 2 × 1/2 × 7 × 7√3 = 84.77 𝑐𝑚 2 (iii) 𝐴𝑂/𝐷𝑂 = cos 60° ⟹ 7/𝐷𝑂 = 1/2 ⟹ 𝐷𝑂 = 14 𝑐𝑚 Area of sector 𝐷𝑂𝐶 = 60/360 × 𝜋 × 14 2 = 102.67 𝑐𝑚 2

𝐴𝑂/𝐷𝑂 = cos 60° ⟹ 7/𝐷𝑂 = 1/2 ⟹ 𝐷𝑂 = 14 𝑐𝑚 Length of tape required = 2 × 14 + 60/360 × 2 × 𝜋 × 14 = 42.67 cm

Q. No. 8) A school auditorium has to be constructed with a capacity of 2000 people. The chairs in the auditorium are arranged in a concave shape facing towards the stage in such a way that each succeeding row has 5 seats more than the previous one.

(i) If the first row has 15 seats, then how many seats will be there in 12 th row?

(ii) If there are 15 rows in the auditorium, then how many seats will be there in the middle row?

(iii) If total 1875 guests were there in the auditorium for a particular event, then how many rows will be needed to make all of them sit?

If total 1250 guests were there in the auditorium for a particular event, then how many rows will be left blank out of total 30 rows?

Ans. (i) 𝑎 = 15, 𝑑 = 5

𝑎 12 = 15 + 11×5 = 70

(ii) 𝑛 = 15

Middle row = 8th row

𝑎8 = 15 + 7 × 5 = 50

(iii) 1875 = 𝑛/2 [2 × 15 + (𝑛 − 1) × 5]

⟹ 𝑛 2 + 5𝑛 − 750 = 0

⟹ (𝑛 + 30)(𝑛 − 25) = 0 ⟹ 𝑛 = 25

∴ Total number of rows required = 25

1250 = 𝑛/2 [2×15 +(𝑛 − 1) × 5]

⟹ 𝑛 2 + 5𝑛 − 500 = 0

(𝑛 + 25)(𝑛 − 20) = 0 ⟹ 𝑛 = 20

∴ Number of rows left = 30 − 20 = 10

Q. No. 9) The students of Class X of a secondary school have been allotted a rectangular plot of land for their gardening activity. Saplings are being planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to row seeds of the flowering plant on the remaining area of the plot.

(i) If a tree is to be planted exactly in the middle of the triangle PQR ie. at the centroid of ∆PQR to give shed to the people sitting in the lawn, then find the coordinates of the point where the tree should be planted.

(ii) What type of triangle is formed by the grassy lawn?

(iii) Find the area of the plot in which the students have to row the seeds.

If a special flowering plant has to be planted at a point which divides the line joining the points C and Q in the ratio 2:3, then find the coordinates of the point where this plant will be planted

Ans. (i) 𝑃(3,3), 𝑄(8,2), 𝑅(6,5)

Coordinates of required point are ( 3+8+6/3, 3+2+5/3) = ( 17/3 , 10/3 )

(ii) 𝑃𝑅 = 𝑄𝑅 = √13

𝑃𝑄 2 = 𝑃𝑅 2 + 𝑄𝑅 2

∴ ∆ 𝑃𝑄𝑅 is an isosceles right triangle

(iii) Area of the plot to row seeds = 13 × 9 − 1/2 × √13 × √13 = 110.5 𝑚

Coordinates of required point are ( 2×8 + 3 ×13 / 2+3 , 2×2+3×9 / 2+3 ) = (11, 31/5 )

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7.56 + 6(0.09) the answer you provided in question 1 subdivision 2was wrong please correct th

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CBSE Class 10 Question Papers 2020 (All Subjects)

Get the cbse question papers of all subjects of class 10 board examination 2020. also, check here the cbse marking schemes and solutions for all question papers..

CBSE Class 10 Question Papers of Board Exam 2020 are available here. Question papers of all important subjects can be downloaded from here in PDF format. These previous year's question papers are perfect to know what format is followed in the CBSE question papers. At the same time, you will also get an idea about the difficulty level of the questions asked in the papers. These question papers are quite helpful for all the class 10 students who will take the CBSE Board Exam in the current academic session 2021-2022. You can also get the CBSE Marking Scheme for all the class 10 question papers from the link mentioned below in this article:

All the class 10 students should start practicing with the previous years' questions papers right from the beginning of studies in the new class. This will help them to point out important topics from each chapter and prepare them well to score good marks in their CBSE Class 10 Board Exam 2022.

Important* CBSE Class 10 Complete Guide & Best Study Material for 2021-2022  

CBSE Class 10 Maths Question Paper 2020 

Maths paper was held on 12th March 2020. The paper consisted of a total of 40 questions out of which 20 questions were of objective type and the remaining 20 questions were of subjective type.

The structure of the CBSE Class 10 Maths question paper is as follows:

CBSE Class 10 Science Question Paper 2020

CBSE conducted the Class 10 Science paper on 4th March 2020. Class 10 Science paper was easy and entirely based on the Class 10 NCERT Book. However, a few questions were asked in a twisted manner which troubled the students. But these questions were again taken from the NCERT book only. So, students are advised to read it thoroughly.

Structure of the CBSE Class 10 Science Paper 2020 is as follows:

CBSE Class 10 Social Science Question Paper 2020

This was the last major paper of CBSE Class 10 Board Exam 2020. Class 10 Social Science paper had a total of 35 questions. Paper was easy but a few students found the MCQs and Match the Following type questions a little complex.

Structure of the CBSE Class 10 Social Science Question Paper 2020 is as follows:

CBSE Class 10 English Question Paper 2020

CBSE Class 10 English paper was held on 26th February 2020. Papers of English Communicative and English Language & Literature were held on the same day. The examination for Delhi students (only of North-East parts) will be reconducted after the release of lockdown in the capital. These students can take help from the old question paper to make appropriate preparations.

Structure of the CBSE Class 10 English Question Paper 2020 was as follows:

CBSE Class 10 Hindi Question Paper 2020

Hindi paper was conducted on 29th February 2020. The pattern used in both Hind A and Hindi B papers was exactly similar to that followed in the CBSE Sample Papers 2020. If we talk about the difficulty level of the paper, students said the writing section of the paper was a little difficult and time taking.

Also Check:

CBSE Class 10 New Syllabus for 2021-2022: All Subjects

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