CBSE Class 10 Maths Case Study Questions

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CBSE Class 10 Maths Case Study Questions will have one passage and five questions. As you know, CBSE has introduced the 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 Question Paper Design

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.

UnitsUnit NameMarks

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.

Maths Case Study Questions

Case Study Questions Triangles – 1

Case Study based Questions
Suresh is having a garden near Delhi. In the garden, there are different types of trees and flower plants. One day due to heavy rain and storm one of the trees got broken as shown in the figure.
The height of the unbroken part is 15 m and the broken part of the tree has fallen at 20 m away from the base of the tree.
Using the Pythagoras answer the following questions:

  1. What is the length of the broken part?
    1. 15 m
    2. 20 m
    3. 25 m
    4. 30 m
  2. What was the height of the full tree?
    1. 40 m
    2. 50 m
    3. 35 m
    4. 30 m
  3. In the formed right-angle triangle what is the length of the hypotenuse?
    1. 15 m
    2. 20 m
    3. 25 m
    4. 30m
  4. What is the area of the formed right angle triangle?
    1. 100 m2
    2. 200 m2
    3. 60 m2
    4. 150 m2
  5. What is the perimeter of the formed triangle?
    1. 60 m
    2. 50 m
    3. 45 m
    4. 100 m

Case Study Questions Triangles – 2

Rahul is studying in X Standard. He is making a kite to fly it on a Sunday. Few questions came to his mind while making the kite. Give answers to his questions by looking at the figure.

  1. Rahul tied the sticks at what angles to each other?
    1. 30o
    2. 60o
    3. 90o
    4. 60o
  2. Which is the correct similarity criteria applicable for smaller triangles at the upper part of this kite?
    1. RHS
    2. SAS
    3. SSA
    4. AAS
  3. Sides of two similar triangles are in the ratio 4:9. Corresponding medians of these triangles are in the ratio:
    1. 2:3
    2. 4:9
    3. 81:16
    4. 16:81
  4. In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. This theorem is called:
    1. Pythagoras theorem
    2. Thales theorem
    3. The converse of Thales theorem
    4. The converse of Pythagoras theorem
  5. What is the area of the kite, formed by two perpendicular sticks of length 6 cm and 8 cm?
    1. 48 cm2
    2. 14 cm2
    3. 24 cm2
    4. 96 cm2

Answer Key:

  1. (c) 90o
  2. (b) SAS
  3. (b) 4:9
  4. (d) Converse of Pythagoras theorem
  5. (a) 48 cm2

Case Study Questions Coordinate Geometry

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.

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

Answer Key:

It can be observed that the coordinates of point P, Q and R are (4, 6), (3, 2), and (6, 5) respectively.

  1. (c) (0, 0)
  2. (a) (4, 6)
  3. (a) (6, 5)
  4. (a) (16, 0)
  5. (b) (-12, 6)

Case Study Question Surface Areas and Volumes

To make the teaching, and learning process easier, creative, and innovative, A teacher brings clay in the classroom to teach the topic of mensuration. She thought this method of teaching is more interesting, leave a long-lasting  impact She  forms a cylinder of radius 6 cm and a height 8 cm with the clay, then she moulds the cylinder into a sphere and asks some questions to the students [use π = 3.14]

  1. The radius of the sphere so form:
    1. 6 cm
    2. 7 cm
    3. 4 cm
    4. 8 cm
  2. The volume of the sphere so formed:
    1. 902.32 cm3
    2. 899.34 cm3
    3. 904.32 cm3
    4. 999.33 cm3
  3. What is the ratio of the volume of a sphere to the volume of a cylinder?
    1. 1:2
    2. 2:1
    3. 1:1
    4. 3:1
  4. The total surface area of the cylinder is:
    1. 525.57 cm2
    2. 557.55 cm2
    3. 534.32 cm2
    4. 527.52 cm2
  5. During the conversion of a solid from one shape to another the volume of the new shape will:
    1. increase
    2. decrease
    3. remain unaltered
    4. be double

Answer Key:

  1. (a) 6 cm
  2. (c) 904.32 cm3
  3. (c) 1:1
  4. (d) 527.52 cm2
  5. (c) Remain unaltered

Case Study Questions Statistics

A survey was conducted by the Education Ministry of India. The following distribution gives the state-wise teachers-students ratio in higher secondary schools of India.

Number of students per teacherNumber of states/U.TNumber of students per teacherNumber of states/U.T
15 – 20335 – 403
20 – 25840 – 450
25 – 30945 – 500
30 – 351050 – 552
  1.  The modal class is
    1. 40 – 45
    2. 30 – 35
    3. 50 – 55
    4. 25 – 30
  2. The mean of this data is
    1. 19.2.
    2. 22.9
    3. 39.2
    4. 29.2
  3. The mode of the data is
    1. 36.625
    2. 30.625
    3. 32.625
    4. 31.625
  4. Half of (upper-class limit + lower class limit) is
    1. Class interval
    2. Classmark
    3. Class value
    4. Class size
  5. The construction of the cumulative frequency table is useful in determining the
    1. Mean
    2. Mode
    3. Median
    4. All of the above

Case Study Questions Arithmetic Progression

A road roller (sometimes called a roller-compactor, or just roller) is a compactor-type engineering vehicle used to compact soil, gravel, concrete, or asphalt in the construction of roads and foundations. Similar rollers are used also at landfills or in agriculture. Road rollers are frequently referred to as steamrollers, regardless of their method of propulsion.

RCB Machine Pvt. Ltd. started making road roller 10 years ago. The company increased its production uniformly by a fixed number every year. The company produces 800 rollers in the 6th year and 1130 roller in the 9th year.
On the basis of the above information, answer the following questions:

    1. What was the company’s production in the first year?
      1. 290
      2. 150
      3. 250
      4. 200
    2. What was the company’s production in the 8th year?
      1. 880
      2. 820
      3. 760
      4. 1020
    3. What was the company’s total production of rollers in the first 6 years?
      1. 3150
      2. 1725
      3. 1775
      4. 2250
    4. What was the increase in the company’s production every year?
      1. 160
      2. 130
      3. 90
      4. 110
    5. In which year the company’s production was 1350 rollers?
      1. 11th
      2. 6th
      3. 5th
      4. 9th

Case Study Questions Circles

Rohan and Suraj were close friends, One day they were riding horses from Delhi to Faridabad. The names of their horses were Saku and Fareed respectively. The day was very sunny. On the way, they stopped for resting in a park. They tied their horses to a tree in the park. The length of ropes of Rohans’s horse is 14 m and that of the horse of Suraj is 7 m as shown in the figures.
Both the friends slept in the park under a green tree for some time. During this period both the horses took 10 rounds along with the tree they were tied.

  1. The ratio of distance walked in 10 rounds by the horses of Rohan and Suraj is:
    1. 1 : 3
    2. 3 : 1
    3. 2 : 1
    4. 1 : 2
  2. The ratio of area of the grass the horses of Rohan and Suraj could graze:
    1. 4 : 1
    2. 2 : 1
    3. 1 : 4
    4. 1 : 2
  3. What is the distance walked by Rohan’s horse in 5 rounds:
    1. 220 m
    2. 110 m
    3. 100 m
    4. 440 m
  4. What we call the the length of rope in terms of circle?
    1. Chord
    2. Radius
    3. Tangent
    4. Diameter
  5. What we call the the distance walked by a horse in one round?
    1. Radius
    2. Area
    3. diameter
    4. Circumference

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.

Maths Case Study Questions

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 MCQs or objective questions only based on the case study. So, the case-based questions can be answered as a very short answer. Simply, write down the correct option. Need not explain the solution in detail.

Is it Easy or Difficult?

As discussed, all the questions are objective only and most of them are very straightforward questions so, these questions are going to be very easy to solve. Students can score good marks if they practice such questions before the board exams. We recommend you myCBSEguide App to get such questions for practice.

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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