Class 7 Maths Case Study Questions Integers CBSE
Class 7 Maths Case Study Questions Integers CBSE are designed to strengthen students’ understanding of integers. These exercises focus on real-life scenarios to make learning practical and engaging. Furthermore, each question includes step-by-step solutions, allowing learners to verify their answers and master the concepts effectively.
Structured Practice for Better Results
The exercises cover addition, subtraction, multiplication, and division of integers. Regular practice using these case study questions improves accuracy and problem-solving speed. Additionally, the content is aligned with CBSE syllabus guidelines, making it perfect for school exams and competitive tests. Students can also use printable PDFs or online formats, ensuring flexible and convenient practice.
Advantages of Regular Learning
Consistent use of Class 7 Maths Case Study Questions Integers helps students gain confidence and logical thinking skills. Moreover, learners develop a strong foundation for tackling integer-based problems in exams and Olympiads efficiently.
Math Case Study Integers Class 7 – Case Study 3
In a modern smart city, a commercial complex consists of 25 floors above the ground level and 5 floors of basement parking below the ground level. The ground level is designated as floor 0. Floors above ground are represented by positive integers, while basement levels are represented by negative integers (e.g., Basement 1 is -1). Each floor has a height of exactly 4 meters. A high-speed elevator moves between these levels. On a busy Monday, the elevator starts at the ground floor (0), goes up to the 18th floor, then descends 22 floors to pick up a car from the basement, and finally rises 7 floors.
The building’s climate control system monitors the temperature in the deep basement levels. At ground level, the temperature is 32°C. As one moves down into the basement, the temperature decreases by 2°C for every floor due to the lack of sunlight. Furthermore, the building manager tracks daily electricity units. A “credit” (positive) is given for energy generated by solar panels, and a “debit” (negative) is recorded for energy consumed. On Tuesday, the building generated 450 units but consumed 600 units. The manager needs to calculate the net energy status and the final position of the elevator using integer rules.
Solution: Elevator starts at +18. Descent of 22: 18 – 22 = -4. (Basement level 4).
Solution: Start at -4. Rise of 7: -4 + 7 = +3. (3rd floor above ground).
Solution: Floors = |15 – (-5)| = 20 floors. Height = 20 × 4m = 80 meters.
Solution: Drop = 5 floors × 2°C = 10°C drop. Final = 32 – 10 = 22°C.
Solution: Day 2 net = 500 – 400 = +100. Total = -150 + 100 = -50 units.
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