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.
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.
Solution: Starting point = +15m. Glitch point = -225m. Distance = |15 – (-225)| = 15 + 225 = 240 meters.
Solution: Total distance = 240m. Rate = 4m/min. Time = 240 ÷ 4 = 60 minutes.
Solution: Drop = 3°C per 100m. For 500m: (500/100) × (-3) = 5 × (-3) = -15°C.
Solution: Cost = 20 × (-50) = -1000. Profit = 8 × 150 = 1200. Net = -1000 + 1200 = +$200.
Solution: Distributive property: a × (b + c) = (a × b) + (a × c). Here, -50(5) + -50(5) = -50(5 + 5).
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