Class 7 Maths Case Study Questions Integers PDF Class 7 Maths Case Study Questions Integers PDF is a comprehensive resource for students to strengthen their understanding of integers. The PDF includes well-structured exercises designed to improve problem-solving skills and enhance concept clarity. Furthermore, each question comes with a detailed solution, allowing learners to verify their answers and learn step-by-step methods. Structured Learning and Exam Preparation This resource covers addition, subtraction, multiplication, and division of integers. By practicing consistently, students can build confidence and speed in solving integer problems. Additionally, the PDF aligns with CBSE, ICSE, and State Board syllabi, making it ideal for both classroom study and exam preparation. Transitioning between printable and digital formats allows flexibility and convenience, ensuring students can practice anytime, anywhere. Benefits of Regular Practice Using Class 7 Maths Case Study Questions Integers PDF regularly develops logical thinking and accuracy. Moreover, students gain mastery over integers while preparing efficiently for competitive exams and school assessments. Mathematics Case Study Quiz – Case 2 Math Case Study Class 7 on Integers – 2 A specialized mining company is operating a robotic excavator on the ocean floor to collect rare minerals. The surface of the ocean is considered the zero point on the number line. The robot starts its descent from a platform located 15 meters above the water surface. It descends into the water at a constant rate of 4 meters per minute. The company uses negative integers to represent the depth below sea level and positive integers for height above sea level. During the operation, the robot encounters a technical glitch at a depth of 225 meters below sea level and stops immediately. The engineers must calculate the time taken for this descent. Furthermore, the robot’s battery efficiency changes with temperature. For every 100 meters the robot descends, the surrounding water temperature drops by 3°C. If the surface water temperature was 25°C, the team must track these integer changes to prevent freezing. Finally, the company evaluates its hourly operational cost. Each minute of descent costs $50 (represented as -50), while each kilogram of mineral collected earns a profit of $150. In one particular hour, the robot descended for 20 minutes and collected 8 kilograms of minerals. 1. What is the total vertical distance the robot traveled from the platform to the point where it glitched at 225 meters below sea level? 210 meters 240 meters 225 meters 15 meters Answer: (b) 240 meters Solution: Starting point = +15m. Glitch point = -225m. Distance = |15 – (-225)| = 15 + 225 = 240 meters. 2. How many minutes did it take for the robot to reach the depth of 225 meters below sea level from the starting platform? 56 minutes 50 minutes 60 minutes 45 minutes Answer: (c) 60 minutes Solution: Total distance = 240m. Rate = 4m/min. Time = 240 ÷ 4 = 60 minutes. 3. If the robot reached a depth of 500 meters, what would be the total change in water temperature from the surface? -15°C 15°C -5°C -10°C Answer: (a) -15°C Solution: Drop = 3°C per 100m. For 500m: (500/100) × (-3) = 5 × (-3) = -15°C. 4. What is the net profit or loss for the company during the hour where the robot descended for 20 minutes and collected 8 kg of minerals? $1,200 profit $200 profit $1,000 loss $200 loss Answer: (b) $200 profit Solution: Cost = 20 × (-50) = -1000. Profit = 8 × 150 = 1200. Net = -1000 + 1200 = +$200. 5. Which of the following expressions correctly represents the Distributive Property used to calculate the cost of 5 minutes of descent and 5 minutes of idling ($50/min)? -50 × (5 + 5) (-50 + 5) × 5 -50 + (5 × 5) (5 × 5) – 50 Answer: (a) -50 × (5 + 5) Solution: Distributive property: a × (b + c) = (a × b) + (a × c). Here, -50(5) + -50(5) = -50(5 + 5). Submit Answers More Free Case Studies on Integers Recommended E-Book for Class 7 E-Book Class 7 Integers Worksheets (Solutions Included) View Product Details →

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. Mathematics Case Study Quiz 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. 1. What was the temperature at the research station after the first 6 hours of rising temperatures? -3°C -27°C 3°C 0°C Answer: (a) -3°C Solution: Initial temperature = -15°C. Increase = 6 × 2 = 12°C. Final = -15 + 12 = -3°C. 2. After the snowstorm caused a drop of 12°C from the peak morning value, what was the new temperature at noon? -12°C -15°C 9°C -9°C Answer: (b) -15°C Solution: Peak temperature was -3°C. Drop of 12°C means: -3 – 12 = -15°C. 3. What is the total vertical distance a drone travels when it goes from the research station to the base camp in the valley? 3,700 meters 5,300 meters 4,500 meters 800 meters Answer: (b) 5,300 meters Solution: Station = +4,500m. Base Camp = -800m. Distance = |4500 – (-800)| = 4500 + 800 = 5,300m. 4. Which property of integers is demonstrated by (500 + (-1200)) + 800 = 500 + ((-1200) + 800)? Commutative Property Distributive Property Closure Property Associative Property Answer: (d) Associative Property Solution: The associative property states that the way integers are grouped in addition does not change the result. 5. What was the final financial status (net balance) of the research station after Monday’s transactions? $100 profit -$100 (Loss) $2,500 profit $1,500 profit Answer: (a) $100 profit Solution: Net balance = 500 (Profit) – 1200 (Repairs) + 800 (Grant) = -700 + 800 = +100. Submit Answers More Free Case Studies on Integers E-Book Class 7 Integers Worksheets (Solutions Included) View Product →

Math Case Studies Integers for Class 7 Math Case Studies Integers for Class 7 provide students with practical problems that strengthen their understanding of integers. Each case study is designed to improve concept clarity, problem-solving, and logical reasoning. Structured Learning and Concept Practice These worksheets include step-by-step solutions, enabling students to verify answers and learn effectively. The exercises cover addition, subtraction, multiplication, and division of integers. Furthermore, case studies are aligned with CBSE, ICSE, and State Boards to ensure exam readiness. By practicing consistently, students can build confidence and accuracy for school tests and competitive exams. Benefits of Online and Offline Practice Math Case Studies for Class 7 can be practiced online or as PDFs. Transitioning between digital and printable formats helps students adapt to multiple learning environments. Additionally, frequent practice develops problem-solving speed, helping students succeed in both classroom assessments and Olympiad-level questions. Case Study Integers class 7 Master Integers with curated case studies and tests. Chapter 1: Integers Available Online Tests: Online Test 1 Online Test 2 Online Test 3 More Free Case Studies on Integers E-Book Class 7 Integers Worksheets (Solutions Included) View Product →