Updated March 22 2026
Class 8 Maths Case Study Based Questions are very important for students preparing according to the latest CBSE competency based pattern. These questions are designed as per NCERT Class 8 Maths textbook and are also very useful for DAV School students studying from DAV Class 8 Maths book.
In recent exams, case study based questions are frequently asked to test conceptual understanding, logical reasoning and application skills. Here we are providing important case study questions for Class 8 Maths which are useful for school exams, unit tests, half yearly exams and final exams.
📘 Case Study Based Questions for Class 8 Maths (NCERT & DAV)
The above case study question is based on real life application of mathematics. Such competency based questions help Class 8 students to understand concepts clearly. These types of questions are important for CBSE as well as DAV school examinations. Students should carefully read the case study and solve the questions step by step.
Class 8 Case Study based question-1.
Sachin goes to a shop and purchased the washing machine and microwave. The Marked price of washing machine is rupees 20000 and shopkeeper allows a discount of 10% on it. While market price of microwave is rupees 5000. Shopkeeper allows a discount of 20% on it.
Based on the above information answer the following questions.
1) selling price of washing machine is (in Rs)
a. 19,900 b. 22,000 c. 10,000 d. 18,000
2) Discount on the microwave is (in Rs)
a. 4,800 b. 4,000 c. 1,000. d. 4980
3) Ratio of selling price of washing machine and microwave is
a. 9:2 b. 2:9 c. 11:2 d. 5:3
4) Total SP of washing machine and microwave is ( in Rs)
a. 24,000 b. 28,000 c. 26,000 d. 22,000
5) Sachin sold the washing machine at a loss of 12%. Find the SP of washing machine(in Rs)
a. 15,840 b. 16,200 c. 20,160 d. 17,600
Answers of Class 8 Case Study based question-1
- (d)18,000
- (c)4,000
- (a) 9:2
- (d)22,000
- (d) 17,600
Class 8 Case Study based question-2
Single use plastic bottles contribute to pollution, harming marine life and ecosystems and perpetuating the cycle of plastic waste. We must advocate for sustainable alternatives and educate others about the importance of reducing plastic consumption for both personal and planetary health. Using a reusable water bottles is an easy way to reduce environmental impact, save money and promote healthy hydration habits. A hydroflask company is designing a new line of reusable water bottles. The manager of the company proposed a cylindrical bottle design with the cap having a diameter of base as 7 cm and height 20 cm.
Based on the above information answer the following questions
(i) Find the capacity of the bottle in ml.
(ii) How many times will the volume of the bottle becomes if the radius of the base is doubled?
(iii) If the company got a bulk order of 500 bottles, find the area of transparent sheet required to cover the original design Water bottles completely( assuming there is no wastage)
(iv) The bottles are to be packed in the cuboidal box of dimensions 22 cm X 8cm X 8cm and all the boxes are to be placed in a cartoon of dimensions 88cm×80cm × 80cm. How many boxes of bottles can be placed in it ?
Answers of Class 8 Case Study based question-2
(i) 770 ml (ii) 4 times (iii) 2,58,500 cm² (iv) 400
Class 8 Case Study based question-3
Answers of Class 8 Case Study based question-3
(i) Rs 765 (ii) Rs 6,900 (iii) 42.5% OR Rs 6,000
Class 8 Case Study based question-4
After Senior Secondary examination, students have craze about a new face of college life. They opped courses of their choice.
The given pie chart shows the number of students admitted in different faculties of a college in a particular year. If thousand students are admitted in Science then answer the following questions based on the given information.
Answers of case study based question -4
(i) 3600
(ii) 300
(iii) 24 : 13
(iv) ₹2,25,000
Class 8 Case Study based question-5
Arihant is a Jeweller. He deals in gold and diamond jewellery. In a festive season he offered a discount of 25% on the marked price of the jewellery. A customer bought a pair of earrings from him and after allowing the discount he still makes a profit of 16% on it. His profit was Rs 4800 on selling the earrings.
Answers of Class 8 Case Study based question-5
(i) ₹30,000 (Option b) (ii) ₹34,800 (Option a) (iii) ₹46,400 OR ₹48,000
Class 8 Case Study based question-6
To overcome the scarcity of water in a village, the villagers decided to take a well 20 metre deep with the diameter 7m. The earth removed is spread uniformly to form a platform 22 m by 14 m. The raised platform was later used for Panchayat meeting and other Noble causes.
Based on the above information, answer the following questions
(i) What is the radius of the well?
(ii) Find the volume of the earth that was duck out.
(iii) What is the height of the platform?
(iv) The volume of a cylinder is 155Ï€ cubic centimetre and its height is 6cm, then find its total surface area.
Answers of Class 8 Case Study based question-6
(i) 3.5 m (ii) 770m³ (iii) 2.5 m (iv) 345.7 cm²
Class 8 Case Study based question-7
The given pie chart represents the expenditure on different items in constructing a flat in a metro city. The cost of flat is ₹5,40,000. Based on the above information answer the following questions.
(i) What is the expenditure incurred on bricks ?
(ii) What is the ratio of expenditure incurred on a Steel and Timber?
(iii) Find the difference of expenditure incurred on timber and bricks?
(iv) Find the expenditure incurred on labour charges.
Answers of Class 8 Case Study based question-7
(i) ₹75,000 (ii) 1:2 (iii) ₹60,000 (iv) ₹1, 50,000
Class 8 Case Study based question-8
A clothing Store has two offers on jeans.
Offer 1: MRP = Rs.4,500 and discount 40%
Offer 2 : MRP = Rs4,000 and discount 30%
Now give the answer of following questions based on above informations
(i) What is the discount on jeans under offer 1 ?
(ii) What is the selling price of jeans under offer 2 ?
(iii) Under which offer Rahul will pay less money and by how much ?
(iv) Find the amount paid by Rahul if he bought two jeans under offer 1 and one jeans under offer 2.
Answers of Class 8 Case Study based question-8
(i) ₹1800 (ii) ₹2800 (iii) Offer 1 is cheaper by ₹100 (iv) ₹8200
Class 8 Case Study based question-9
Rahul designed his Park. He created a rhombus shaped flower bed in it whose perimeter is 104 cm and diagonals are in the ratio 5:12. One of its angle is 70 degree.
(i) Find the side of rhombus.
(ii) What is the measure of angle formed where diagonals meet each other?
(iii) Find the length of smaller diagonal?
(iv) What are the measures of all angles of flower bed?
Answers of Class 8 Case Study based question-9
(i) Side = 26 cm
(ii) Angle between diagonals = 90°
(iii) Smaller diagonal = 20 cm
(iv) Angles = 70°, 110°, 70°, 110°
Class 8 Case Study based question-10
Case Study: Modes of Transport (Before and After Pandemic)
Before the pandemic, children happily rode to school in private vans. The vans were full of children sitting close together. But after the pandemic, people learned to maintain social distancing.
After schools reopened, some families wanted to keep their children safe. They stopped using crowded vans. Instead, children started coming to school by school buses with strict rules (one seat per student), or by bicycles, or by cabs, or parents dropping them in their own cars, or children walking with their parents.
The total number of students in the school was 3600 during the session 2019–20 as well as in 2024–25. The following pie charts show the different modes of transport used by students before and after the pandemic.
Based on above information answer the following questions:
(i) Find the number of students who walked to school during the session 2019–20.
(ii) Find the number of students who came to school by bicycle during the session 2024–25.
(iii) Find the difference between the number of students using private vans before and after the pandemic.
OR
Find the difference between the number of students using school buses before and after the pandemic.
Answers of Class 8 Case Study based question-10
(i) 300 students
(ii) 700 students
(iii) 800 students (Private Van)
OR
300 students (School Bus)
Class 8 Case Study based question-11
An iron pipe is 21 m long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weight is 8 g per cubic cm, read the statement and answer the following questions:
(i) What is the exterior radius of the pipe?
a) 4 cm  b) 3 cm  c) 3.5 cm  d) 3 cm
(ii) What is the interior diameter of the pipe?
a) 3 cm  b) 6 cm  c) 7 cm  d) 8 cm
(iii) What is the inner volume of the pipe?
a) Inner base area × height
b) Outer base area × height
c) Base area of pipe × height
d) None of these
(iv) Volume of the pipe is ______ cubic cm.
a) 594  b) 1056  c) 462  d) none of these
(v) Weight of the pipe is ______.
a) 369.6 g  b) 369.6 kg  c) 3696 cubic cm  d) none of these
Answers of Class 8 Case Study based question-11
(i) a) 4 cm ✅
(ii) b) 6 cm ✅
(iii) a) Inner base area × height ✅
(iv) d) none of these ✅
(v) b) 369.6 kg ✅
Class 8 Case Study based question-12
A box contains a cylinder and a cube. The height and radius of the cylinder are 7 cm and 14 cm respectively. It has been observed that the side of the cubical box is half the radius of the cylinder.
Based on thus information answer the following questions :
(i) Find the side of the cube
a) 2 cm  b) 5 cm  c) 7 cm  d) 11 cm
(ii) The curved surface area of the cylinder is
a) 616 cm² b) 512 cm² c) 1024 cm² d) 728 cm²
(iii) The difference between curved surface area of cylinder and lateral surface area of a cube is
a) 410  b) 420  c) 430  d) 440
(iv) Which has more volume, cylinder or cube?
a) Cylinder  b) Cube  c) Both have equal volume
Answers of Class 8 Case Study based question-12
(i) c (ii) a (iii) b (iv) a
Class 8 Case Study based question-13
Jayant borrowed a sum of ₹2000 from his friend for 3/2 years. This sum amounts to ₹2662, being compounded half-yearly. It was found that Jayant wanted to borrow it at 10% rate of interest, but his friend was not ready for that.
(i) At what rate of interest Jayant borrowed money?
a) 10%  b) 15%  c) 20%  d) 5%
(ii) If R = 10%, then what amount Jayant had to pay back?
a) ₹2310  b) ₹2300  c) ₹2400  d) ₹2315.25
(iii) Calculate SI for the same sum at 20%
a) ₹670  b) ₹680  c) ₹650  d) ₹600
(iv) On what sum at 20% p.a. for 1 year, the amount is ₹6600?
a) ₹5000  b) ₹5200  c) ₹5500  d) ₹5800
Answers of Class 8 Case Study based question-13
(i) c (ii) d (iii) d (iv) c