Class 7 Maths Case Study Questions Integers with Answers
Class 7 Maths Case Study Questions Integers with Answers are an excellent way to strengthen students’ understanding of integer concepts. Each case study is designed to challenge problem-solving skills while reinforcing classroom lessons. Furthermore, they improve accuracy and logical reasoning through repeated practice.
Structured Practice and Concept Clarity
These worksheets provide step-by-step solutions for every question. By following solutions carefully, students can learn the methods for addition, subtraction, multiplication, and division of integers. Additionally, case studies align with CBSE, ICSE, and State Board syllabi, making them ideal for exam preparation.
Benefits of Consistent Practice
Regularly practicing Class 7 Maths Case Study Questions Integers with Answers helps students build confidence. Moreover, students develop speed and efficiency in solving integer-based problems. Transitioning between online and printable PDFs allows flexibility in learning environments, ensuring both convenience and effective practice.
Math Case Study Integers Class 7 Free Online Test
A team of scientists is conducting an environmental study at a high-altitude research station located in the Himalayan mountain range. The station is situated at an elevation of 4,500 meters above sea level. During a specific 24-hour period in winter, the scientists monitor the external temperature and the movement of supply drones. At midnight, the recorded temperature was -15°C. As the sun rose, the temperature increased by 2°C every hour for the next 6 hours. However, by noon, a sudden snowstorm caused the temperature to drop sharply by 12°C from its peak morning value.
To manage supplies, drones are sent to a base camp located in a valley at an elevation of 800 meters below sea level. The scientists use positive integers to represent heights above sea level and negative integers to represent depths or elevations below sea level. The drones must calculate the total vertical distance traveled between the station and the base camp. Furthermore, the station’s budget is tracked using integers, where a profit in selling research data is a positive integer and the cost of equipment maintenance is a negative integer. On Monday, the station earned a profit of $500 but spent $1,200 on repairs, followed by a grant deposit of $800.
Solution: Initial temperature = -15°C. Increase = 6 × 2 = 12°C. Final = -15 + 12 = -3°C.
Solution: Peak temperature was -3°C. Drop of 12°C means: -3 – 12 = -15°C.
Solution: Station = +4,500m. Base Camp = -800m. Distance = |4500 – (-800)| = 4500 + 800 = 5,300m.
Solution: The associative property states that the way integers are grouped in addition does not change the result.
Solution: Net balance = 500 (Profit) – 1200 (Repairs) + 800 (Grant) = -700 + 800 = +100.
