Case Study 1 – Temperature (Daily Weather Report)
The following table shows the recorded temperatures of a city on a particular day:
| Time of Day | Temperature (°C) |
|---|---|
| Morning | –5°C |
| Noon | 0°C |
| Evening | 4°C |
| Night | –3°C |
Answer the questions based on the given data.
Q1. Which time is warmest?
a) Morning b) Noon c) Evening d) Night
✅ Answer: (c) Evening – Highest temperature = 4°C.
Q2. Which time is coldest?
a) Morning b) Night c) Noon d) Evening
✅ Answer: (b) Night – Lowest temperature = –3°C vs –5°C. Correction: Morning is –5°C, which is lower than –3°C. So Answer: (a) Morning.
Q3. Rise in temperature from morning to evening = ?
a) 7°C b) 8°C c) 9°C d) 10°C
✅ Answer: (c) 9°C → 4 – (–5) = 9.
Q4. Fall in temperature from evening to night = ?
a) 6°C b) 7°C c) 8°C d) 9°C
✅ Answer: (a) 7°C → 4 – (–3) = 7.
Case Study 2 – Bank Transactions (Savings Account)
Ravi has a savings account in a bank. His balance at the beginning of the week was ₹500. During the week, he made the following transactions:
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He withdrew ₹800 on Monday.
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He deposited ₹600 on Wednesday.
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He withdrew ₹400 on Friday.
Answer the following questions based on Ravi’s account transactions.
Q1. Balance after first withdrawal?
a) –300 b) 300 c) –500 d) 200
✅ Answer: (a) –300 → 500 – 800.
Q2. Balance after deposit?
a) 300 b) –200 c) 200 d) –100
✅ Answer: (b) –200 → –300 + 600.
Q3. Balance after last withdrawal?
a) –200 b) –300 c) –400 d) –500
✅ Answer: (b) –300 → –200 – 400.
Q4. Final balance represents:
a) Profit b) Loss c) Debt d) Saving
✅ Answer: (c) Debt – Negative balance.
Case Study 3 – Lift Movement (Building Elevator)
A lift in a building starts at the ground floor (0). It then moves as follows:
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Goes down 4 floors.
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Goes up 7 floors.
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Finally, goes down 3 floors.
Q1. Position after first move?
a) –4 b) –3 c) 3 d) 4
✅ Answer: (a) –4
Q2. Position after second move?
a) 7 b) 3 c) –3 d) 4
✅ Answer: (b) 3 → –4 + 7.
Q3. Position after third move?
a) –1 b) –2 c) 1 d) 0
✅ Answer: (a) –1 → 3 – 3 = 0 actually, careful. Correction: 3 – 3 = 0, so Answer: (b) 0.
Q4. Final position = ?
a) –1 b) 0 c) 1 d) –2
✅ Answer: (b) 0
Case Study 4 – Cricket Scores (Performance Analysis)
In four cricket matches, Virat scored the following runs:
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Match 1 = +50
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Match 2 = –10 (runs deducted as penalty)
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Match 3 = +70
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Match 4 = –20 (runs deducted as penalty)
Q1. Highest score = ?
a) 50 b) 70 c) –10 d) –20
✅ Answer: (b) 70
Q2. Lowest score = ?
a) –20 b) –10 c) 50 d) 70
✅ Answer: (a) –20
Q3. Total runs in 4 matches = ?
a) 80 b) 90 c) 100 d) 110
✅ Answer: (b) 90 → 50 –10 +70 –20 = 90.
Q4. Negative score represents:
a) Runs scored b) Bonus c) Penalty d) Extras
✅ Answer: (c) Penalty
Case Study 5 – Sea Level (Submarine Journey)
A submarine starts at a depth of –200 m below sea level. It then:
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Descends further by 300 m.
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Later ascends by 600 m.
Q1. Position after descent = ?
a) –100 b) –300 c) –400 d) –500
✅ Answer: (c) –500 → –200 – 300.
Q2. Position after ascent = ?
a) 200 b) 300 c) 400 d) –200
✅ Answer: (a) 100 → –500 + 600. Correction: –500 + 600 = +100, so Answer: (a) 100.
Q3. Final position above/below sea level = ?
a) 100 above b) 200 above c) 300 above d) 400 above
✅ Answer: (a) 100 above
Q4. Which operation used to combine descent and ascent?
a) Addition b) Subtraction c) Multiplication d) Division
✅ Answer: (a) Addition – Adding integers.
