Perimeter and Area Case Study Questions for Class 6 Maths Ganita Prakash Chapter 6

1

Case Study: Measuring a Field

Read the passage carefully, then answer all four questions

Ch 10 · Mensuration

Class 6 students while studying mensuration were given a test of measuring a field using metre tape. The students found out the length of the field as 112 m and breadth as 85 m.

i

The area of the field is:

a 197 m²

b 9520 m²

c 394 m²

d None of these

▾ Show Answer & Explanation

Correct Answer (b) 9520 m² ✅

Explanation

Area of a rectangular field = length × breadth

Area = 112 × 85 = 9520 m²

ii

The cost of levelling at ₹2.00 per square metre is:

a ₹394

b ₹788

c ₹19040

d None of these

▾ Show Answer & Explanation

Correct Answer (c) ₹19040 ✅

Explanation

Cost of levelling = Area × Rate per square metre

Cost = 9520 × 2 = ₹19040

iii

Distance travelled to go round the field 3 times is:

a 197 m

b 394 m

c 1182 m

d 591 m

▾ Show Answer & Explanation

Correct Answer (c) 1182 m ✅

Explanation

Distance travelled in taking 1 round is equal to the perimeter of the field.

Perimeter = 2(l + b) = 2(112 + 85) = 2(197) = 394 m

Therefore, distance covered in 3 rounds = 394 × 3 = 1182 m.

iv

What time will a child take if he walks at the rate of 3 m/s (for 3 rounds)?

a 295 s

b 354 s

c 394 s

d 284 s

▾ Show Answer & Explanation

Correct Answer (c) 394 s ✅

Explanation

Time taken is calculated by dividing the total distance by the speed.

Time = Distance ÷ Speed = 1182 ÷ 3 = 394 s

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Topics covered

• Perimeter
• Area

What is Case Study Question for Class 6 Maths?

Case study questions help students use maths concepts in real-life situations. These questions make students think deeply and understand the topic instead of just memorizing it. For CBSE Class 6 students, these questions connect what they learn in class to real-world problems, helping them develop better thinking and problem-solving skills.

Why Practice Case Study Questions for Class 6 Maths?

Practicing case study questions helps students:

• Understand real-life applications of mathematical concepts, such as using fractions in cooking or ratios in dividing items equally.
• Enhance problem-solving skills by analyzing scenarios and selecting the correct mathematical approach.
• Prepare for exams effectively, as these questions are now a part of CBSE’s question paper pattern.
• Build confidence in handling non-standard problems that may appear challenging at first glance.

How to Solve Case Study Questions in Maths Effectively?

Tips for students:

• Read the problem carefully: Understand the context and identify the key numbers and variables involved.
• Break the problem into steps: Tackle one part of the problem at a time to avoid confusion.
• Use the correct formula: Review the chapter’s concepts and identify the formula that fits the question.
• Double-check calculations: Avoid careless errors by re-checking your math.
• Visualize the scenario: Drawing a rough sketch or diagram can often make solving the problem easier.

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