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Case Study Class 10 Maths Questions

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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.

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• CBSE Class 10 Maths Sample Paper 2020-21
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• 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

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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
• After reading the question try to understand from which topics the question is asked. and try to remember all the concepts of that topic.
• 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.
• After solving the answer check your answer with the options given.
• Remember, write only answering your answer book

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Class 10 Maths: Case Study Questions of Chapter 4 Quadratic Equations PDF

Case study Questions on the Class 10 Mathematics Chapter 4  are very important to solve for your exam. Class 10 Maths Chapter 4 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 4 Quadratic Equations

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.

Quadratic Equations Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 4 Quadratic Equations

Case Study/Passage Based Questions

1)Formation of Quadratic Equation

Quadratic equations started around 3000 B.C. with the Babylonians. They were one of the world’s first civilizations and came up with some great ideas like agriculture, irrigation, and writing. There were many reasons why Babylonians needed to solve quadratic equations. For example to know what amount of crop you can grow on the square field. Now represent the following situations in the form of a quadratic equation.

The sum of squares of two consecutive integers is 650. (a) x 2 + 2x – 650 = 0 (b) 2x 2 +2x – 649 = 0 (c) x 2 – 2x – 650 = 0 (d) 2x 2 + 6x – 550 = 0

Answer: (b) 2×2 +2x – 649 = 0

The sum of two numbers is 15 and the sum of their reciprocals is 3/10. (a) x 2 + 10x – 150 = 0 (b) 15x 2 – x + 150 = 0 (c) x 2 – 15x + 50 = 0 (d) 3x 2 – 10x + 15 = 0

Answer: (c) x2 – 15x + 50 = 0

Two numbers differ by 3 and their product is 504. (a) 3x 2 – 504 = 0 (b) x 2 – 504x + 3 = 0 (c) 504x 2 +3 = x (d) x 2 + 3x – 504 = 0

Answer: (d) x2 + 3x – 504 = 0

A natural number whose square diminished by 84 is thrice of 8 more of a given number. (a) x 2 + 8x – 84 = 0 (b) 3x 2 – 84x + 3 = 0 (c) x 2 – 3x – 108 = 0 (d) x 2 –11x + 60 = 0

Answer: (c) x2 – 3x – 108 = 0

A natural number when increased by 12, equals 160 times its reciprocal. (a) x 2 – 12x + 160 = 0 (b) x 2 – 160x + 12 = 0 (c) 12x 2 – x – 160 = 0 (d) x 2 + 12x – 160 = 0

Answer: (d) x2 + 12x – 160 = 0

2)Nature of Roots A quadratic equation can be defined as an equation of degree 2. This means that the highest exponent of the polynomial in it is 2. The standard form of a quadratic equation is ax 2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. Every quadratic equation has two roots depending on the nature of its discriminant, D = b 2 – 4ac

Which of the following quadratic equation have no real roots? (a) –4x 2 + 7x – 4 = 0 (b) –4x 2 + 7x – 2 = 0 (c) –2x 2 +5x – 2 = 0 (d) 3x 2 + 6x + 2 = 0

Answer: (a) –4×2 + 7x – 4 = 0

Which of the following quadratic equation have rational roots? (a) x 2 + x – 1 = 0 (b) x 2 – 5x + 6 = 0 (c) 4x 2 – 3x – 2 = 0 (d) 6x 2 – x + 11 = 0

Answer: (b) x2 – 5x + 6 = 0

Which of the following quadratic equation have irrational roots? (a) 3x 2 +2x + 2 = 0 (b) 4x 2 – 7x + 3 = 0 (c) 6x 2 – 3x – 5 = 0 (d) 2x 2 +3x – 2 = 0

Answer: (c) 6×2 – 3x – 5 = 0

Which of the following quadratic equations have equal roots? (a) x 2 – 3x + 4 = 0 (b) 2x 2 – 2x + 1 = 0 (c) 5x 2 – 10x + 1 = 0 (d) 9x 2 + 6x + 1 = 0

Answer: (d) 9×2 + 6x + 1 = 0

Which of the following quadratic equations has two distinct real roots? (a) x 2 + 3x + 1 = 0 (b) –x 2 + 3x – 3 = 0 (c) 4x 2 + 8x + 4 = 0 (d) 3x 2 + 6x + 4 = 0

Answer: (a) x2 + 3x + 1 = 0

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 10 Maths Quadratic Equations 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

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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

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Case Study Questions for Class 10 Maths

• Last modified on: 1 year ago
• Reading Time: 13 Minutes

This article covers case study questions for Class 10 Maths. Students are suggested to go through all the questions to score better in the exams.

Why Students Fear Case Study Questions for Class 10 Maths?

Students may fear Case Study questions for Class 10 Maths for the following reasons:

• Application of Concepts: Case Study questions require the application of mathematical concepts to real-world situations. Students may find it difficult to apply the concepts they have learned to solve the given scenario.
• Limited Practice: Unlike other types of questions, students may have limited practice with Case Study questions. This lack of familiarity may cause anxiety and fear among students.
• Lengthy and Complex Scenarios: Case Study questions often present lengthy and complex scenarios, which can be overwhelming for students. They may struggle to identify the relevant information and apply the appropriate mathematical concepts.
• Time Pressure: Case Study questions may require more time to solve compared to other types of questions. This can add to the stress and anxiety of students, especially during an exam.
• Fear of Making Mistakes: Since Case Study questions involve applying concepts to real-world situations, students may fear making mistakes or getting the wrong answer. This fear may cause them to avoid attempting the question altogether.

In conclusion, students may fear Case Study questions for Class 10 Maths due to the application of concepts, limited practice, lengthy and complex scenarios, time pressure, and fear of making mistakes. Teachers can help alleviate these fears by providing ample practice opportunities, breaking down the scenarios into smaller parts, and encouraging students to attempt the questions.

Best Way to Approach Case Study Questions for Class 10 Maths

Here are some tips on how to approach Case Study questions for Class 10 Maths:

• Read the scenario carefully: The first step is to read the scenario carefully and identify the key information. Pay attention to the given values, units, and any other important details.
• Identify the mathematical concepts involved: Once you have read the scenario, identify the mathematical concepts that are involved. This will help you determine which formulas or equations to apply.
• Break down the scenario into smaller parts: Some Case Study questions may have lengthy and complex scenarios. To make it easier, try to break down the scenario into smaller parts and identify the specific information that is needed to solve each part.
• Solve the problem step by step: Once you have identified the key information and the mathematical concepts involved, start solving the problem step by step. Show all the calculations and equations used.
• Check your answers: After you have solved the problem, check your answers to ensure that they are accurate and relevant to the scenario given. If possible, try to cross-check your answer using a different approach or formula.
• Practice, Practice, Practice: The more you practice Case Study questions, the more familiar you will become with the format and the types of scenarios presented. This will help you develop confidence and improve your performance.

In conclusion, approaching Case Study questions for Class 10 Maths involves careful reading of the scenario, identifying the mathematical concepts involved, breaking down the problem into smaller parts, solving the problem step by step, checking the answers, and practicing regularly.

Topics Covered in CBSE Class 10 Maths

Here are the topics covered in CBSE Class 10 Maths:

• Real Numbers: Euclid’s division lemma, HCF and LCM, irrational numbers, decimal representation of rational numbers, and the relationship between roots and coefficients of a quadratic equation.
• Polynomials: Zeros of a polynomial, relationship between zeros and coefficients of a polynomial, division algorithm for polynomials, and factorization of polynomials.
• Pair of Linear Equations in Two Variables: Graphical method of solution, algebraic methods of solution, and word problems based on linear equations.
• Quadratic Equations: Standard form of a quadratic equation, solutions of a quadratic equation by factorization and by using the quadratic formula, relationship between roots and coefficients, and nature of roots.
• Arithmetic Progressions: nth term of an AP, sum of first n terms of an AP, and word problems based on arithmetic progressions.
• Triangles: Properties of triangles, congruence of triangles, criteria for similarity of triangles, and Pythagoras theorem.
• Coordinate Geometry: Distance formula, section formula, area of a triangle, and equation of a line in different forms.
• Introduction to Trigonometry: Trigonometric ratios, trigonometric ratios of complementary angles, and word problems based on trigonometry.
• Some Applications of Trigonometry: Heights and distances.
• Circles: Tangent to a circle, number of tangents from a point on a circle, and chord properties.
• Constructions: Construction of bisectors of line segments and angles, construction of a triangle similar to a given triangle, and construction of a triangle of given perimeter and base angles.
• Areas Related to Circles: Areas of sectors and segments of a circle.
• Surface Areas and Volumes: Surface areas and volumes of spheres, cones, cylinders, and cuboids.

In conclusion, CBSE Class 10 Maths covers a wide range of topics including real numbers, polynomials, linear equations, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry, circles, constructions, areas related to circles, and surface areas and volumes.

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Class 10 Maths Case Study Questions Chapter 6 Triangles PDF Download

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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

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CBSE Class 10 Maths Question Papers 2024

• Cbse Previous Year Question Paper

Class 10 Maths 2024 Question Paper with Solutions - FREE PDF Download

Vedantu provides CBSE Class 10 Maths Question Paper 2024 in two versions: Mathematics Standard and Mathematics Basics. These papers are for students with different career aspirations: Mathematics Standard is for students aiming for a future in mathematics or related fields, and Mathematics Basics is for those not pursuing math extensively.

Maths Question Paper Class 10 2024 covers the exam pattern and content according to the CBSE Class 10 Maths Syllabus . These papers help students who are preparing for their exams by providing different types of questions and the level of their preparation. Class 10 Maths Previous Year Question Papers are very important for students to practice and prepare effectively for their examinations.

Class 10 Maths Board Exam - Set Wise Question Paper 2024 - FREE PDF Download

Here is a complete list with links to all the sets of question papers from the year 2024. This table makes it easy for students to access and use these question papers for practice and preparation.

CBSE Class 10 Maths Question Paper 2024 Pattern

Features of Class Maths Question Paper 2024 with Solutions

The question paper covers all topics according to the CBSE Class 10 Maths syllabus, ensuring students are tested on all important concepts they've learned throughout the year.

There are multiple sets of question papers provided, allowing students to practice with different variations of the exam and become familiar with various types of questions.

Each question paper includes detailed solutions or answers, which help students understand the correct problem-solving approach. This enables them to learn from their mistakes and improve their problem-solving skills.

These question papers are like practice material, allowing students to know about their preparation levels and identify areas where they need more practice or improvement.

By solving these papers with solutions, students can improve their understanding of complex mathematical concepts.

Vedantu’s CBSE Class 10 Maths Question Paper 2024 provides thorough preparation for students. It covers all topics in the syllabus with multiple sets for practice and understanding the actual exam format. The detailed solutions in Class 10 Maths Question Paper 2024 PDF Download help understand concepts and improve problem-solving skills. These papers are useful for revision, helping students to know their readiness for the exam while revising them. Overall, the 2024 Maths question papers from Vedantu are designed to help students increase their confidence and performance, ensuring they are well-prepared to get good marks in their CBSE Class 10 Maths exam.

Class 10 Mathematics Year-wise Question Papers (2014 - 2024)

Subject-wise Class 10 Previous Year Question Paper 2024

Related Study Materials for Class 10 Maths

FAQs on CBSE Class 10 Maths Question Papers 2024

1. How many sets of question papers are there in Vedantu’s Class 10 Maths Question Paper 2024 PDF Download?

There are 4 sets of previous question papers of the year 2024 available on the Vedantu website that provide different versions namely CBSE Class 10 Standard Maths Question Paper 2024 With Solutions and CBSE Class 10 Basic Maths Question Paper 2024 With Solutions of the exam for students to practice.

2. Why should I practice with Maths Question Paper Class 10 2024?

Practicing with these papers helps you understand the exam pattern, helps to improve yourself with different types of questions, and improves time management skills.

3. How can the solutions in Class 10 Maths Question Paper 2024 PDF Download to these question papers help me?

Solutions in Vedantu’s Class 10 Maths 2024 Question Paper provide step/by/step explanations for each question, helping you understand concepts better and learn the correct problem-solving approach.

4. Are the Maths Question Paper Class 10 2024 by Vedantu useful for revision?

Yes, they are excellent for revision. By solving them, you can revise important topics, identify weak areas, and improve your overall preparation for the exam.

5. What type of questions does the CBSE Class 10 Standard Maths Question Paper 2024 With Solutions contain?

The CBSE Class 10 Standard Maths Question Paper 2024 With Solutions includes multiple/choice, short answer, and long answer questions covering all topics in the syllabus.

6. What type of questions does the CBSE Class 10 Basic Maths Question Paper 2024 With Solutions contain?

The CBSE Class 10 Basic Maths Question Paper 2024 with Solutions contains questions focusing on fundamental concepts and practical applications designed for students not pursuing advanced mathematics in their future studies.

7. How do these question papers prepare me for the CBSE exam?

Class 10 Maths 2024 Question Paper helps you prepare for the CBSE exam by giving each section's format, difficulty, and time taken. Practising with them helps you with the exam structure and enhances your readiness.

8. Can I access the Class 10 Maths Question Paper 2024 PDF Download from the Vedantu website for FREE?

Yes, Vedantu platforms provide these papers for free or with minimal cost, making them accessible to all students preparing for the Class 10 Maths exam. You can also refer to Vedantu website for other subject question papers.

9. What is the purpose of solving the CBSE Class 10 Maths 2024 Question Paper?

Solving these papers helps students understand the exam pattern, practice different types of questions, and assess their preparation level.

10. Does Vedantu Class 10 Maths 2024 Question Paper provide solutions with the question papers?

Yes, Vedantu provides detailed solutions for all the questions in these question papers, helping students understand the correct methods to solve problems.

CBSE Class 10 Mathematics Question Papers 2024

The CBSE Class 10 Mathematics exam was conducted on 11th March 2024. The duration of the CBSE Class 10 Mathematics Question Paper 2024 was 3 hours with 80 marks. Students who appeared for the exam found that the Mathematics question paper was moderately complex.

The question paper was framed in a way to test the student’s understanding of mathematical concepts and their applications. The length of the question paper was appropriate. The students who had concept clarity and practised enough before the exam could finish well before time and got enough time to review the solutions before submission.

Class 10 Mathematics Answer Key 2024

Practising the Class 10 Mathematics Question Paper 2024 is one of the most effective ways to prepare for an examination. Practising a good set of previous years’ question papers is no less than a treasure chest for a student preparing for board exams.

Students can download different sets of CBSE Class 10 Mathematics Question Paper 2024 in PDF format from the links given below:

CBSE Class 10 Mathematics Question Paper 2024 – All Sets

The download link lets students access the CBSE Class 10 Mathematics Question Paper 2024.

Note: CBSE Class 10 Mathematics 2024 Question Paper and Solutions PDFs will be updated soon.

Access Other Sets of CBSE Class 10 Mathematics Question Paper 2024

The other sets of CBSE Class 10 Mathematics Previous Years Question Paper 2024 are given here for free download. Click on the download link to access and download the papers in PDF formats.

Students can find each set of CBSE Class 10 Mathematics Question Paper 2024 in a separate PDF. We hope the CBSE Class 10 Mathematics Question Papers for the year 2024 will help students prepare well and achieve good grades in the board exams. They can download the CBSE Class 10 Previous Years Question papers by clicking on the link. Keep learning and stay tuned to BYJU’S, to access highly interactive videos of Science and Maths.

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• CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 10 - Circles (Published By CBSE)

Check cbse class 10 maths case study questions for chapter 10 - circles. these questions have been published by the board for class 10 mathematics..

CBSE: Case study questions for CBSE Class 10 Maths Chapter 10 - Circles are provided here which students can practice to get familiarised with the new format of questions. These questions have been published by CBSE itself. Answers to all the questions have been provided for the convenience of students. Case study questions are helpful for the preparation of the Class 10 Maths Exam 2021-2022.

Case Study Questions for Class 10 Maths Chapter 10 - Circles

CASE STUDY 1:

A Ferris wheel (or a big wheel in the United Kingdom) is an amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components (commonly referred to as passenger cars, cabins, tubs, capsules, gondolas, or pods) attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity.

After taking a ride in Ferris wheel, Aarti came out from the crowd and was observing her friends who were enjoying the ride . She was curious about the different angles and measures that the wheel will form. She forms the figure as given below.

1. In the given figure find ∠ROQ

Answer: c) 150

2. Find ∠RQP

Answer: a) 75

3. Find ∠RSQ

Answer: b) 75

4. Find ∠ORP

Answer: a) 90

CASE STUDY 2:

Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a ΔABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively.

1. Find the length of AD

Answer: a) 7

2. Find the Length of BE

Answer: b) 5

3. Find the length of CF

Answer: d) 3

4. If radius of the circle is 4cm, Find the area of ∆OAB

Answer: c) 24

5. Find area of ∆ABC

Answer: b) 60

Also Check:

Tips to Solve Case Study Based Questions Accurately

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