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Here we are providing case study questions for class 6 science latest book Ganita Prakash. In this article we are covering case study questions based on Class 6 Maths Chapter 8 Playing with Construction.
[Download] Case Study Questions for Class 6 Maths Chapter 8 Playing with Construction
Passage 1:
Designing a Garden Path
A gardener wants to design a rectangular path in a garden. The length of the path is 12 meters, and the width is 8 meters. She needs to find the midpoint of the longer side of the rectangle to install a lamp post. She uses a compass and a ruler to perform a geometrical construction to find the midpoint.
Q.1. What geometrical construction is the gardener performing?
(a) Bisecting an angle
(b) Bisecting a line segment
(c) Drawing parallel lines
(d) Drawing a perpendicular line
Difficulty Level: Easy
Ans: Option (b) is correct.
Q.2. Why does the gardener use a compass for this construction?
(a) To measure the exact length of the line
(b) To ensure that the midpoint is accurate
(c) To avoid using a protractor
(d) To save time in the construction
Difficulty Level: Easy
Ans: Option (b) is correct.
Q.3. What is the role of the arcs drawn by the compass during the construction?
(a) They divide the rectangle into equal parts.
(b) They help find the endpoints of the line segment.
(c) They mark points of intersection to draw the perpendicular bisector.
(d) They measure the length of the rectangle.
Difficulty Level: Medium
Ans: Option (c) is correct.
Q.4. After finding the midpoint, how can the gardener use it to position the lamp post?
(a) Place the lamp post at the midpoint of the shorter side.
(b) Draw a perpendicular from the midpoint to the other side of the rectangle.
(c) Mark the midpoint of the longer side and install the lamp post there.
(d) Bisect the shorter side to find the exact position.
Difficulty Level: Medium
Ans: Option (c) is correct.
Passage 2:
Dividing a Circle for Equal Cake Slices
A baker is making a round cake and wants to cut it into 8 equal slices. He uses a geometrical construction to divide the circle into 8 parts. He starts by drawing a diameter of the circle and then constructs perpendicular diameters to divide the circle into equal sections.
Q.1. What is the first step the baker performs in this construction?
(a) Drawing the radius of the circle
(b) Drawing the diameter of the circle
(c) Drawing perpendicular diameters
(d) Measuring the circumference of the circle
Difficulty Level: Easy
Ans: Option (b) is correct.
Q.2. How does the baker ensure the circle is divided into equal parts?
(a) By using a ruler to measure equal distances
(b) By drawing perpendicular bisectors of the diameters
(c) By marking equal sections along the circumference
(d) By ensuring all diameters are perpendicular
Difficulty Level: Medium
Ans: Option (d) is correct.
Q.3. Why is the perpendicular diameter significant in this construction?
(a) It divides the circle into two parts.
(b) It helps in finding the radius of the circle.
(c) It ensures the circle is divided into four equal parts initially.
(d) It measures the area of the circle.
Difficulty Level: Medium
Ans: Option (c) is correct.
Q.4. If the baker uses the same method to divide a larger cake into 12 slices, what additional step is required?
(a) Draw more diameters dividing the circle into 12 equal angles.
(b) Measure the circumference of the circle and divide it into 12 equal parts.
(c) Use a protractor to measure angles of 30°.
(d) Bisect the existing sections to create more slices.
Difficulty Level: Hard
Ans: Option (a) is correct.
Passage 3:
Arranging Books on a Shelf
A librarian arranges books on a shelf. The shelf is 120 cm long, and she wants to divide it into three equal sections to organize books by category. She uses a scale and geometrical construction to mark the dividing points.
Q.1. How can the librarian divide the shelf into three equal sections?
(a) By measuring 40 cm from one end for each section
(b) By bisecting the shelf twice
(c) By marking the midpoint and measuring equal distances from it
(d) By drawing perpendicular lines from each end
Difficulty Level: Easy
Ans: Option (a) is correct.
Q.2. Why is finding the midpoint of the shelf important for the construction?
(a) It ensures symmetry in the arrangement.
(b) It helps measure the length of the shelf.
(c) It ensures the books are equally distributed.
(d) It helps draw perpendicular lines.
Difficulty Level: Medium
Ans: Option (a) is correct.
Q.3. What tool can the librarian use to ensure accurate divisions?
(a) A protractor
(b) A compass and ruler
(c) A measuring tape
(d) A calculator
Difficulty Level: Easy
Ans: Option (b) is correct.
Q.4. If the librarian wants to further divide each section into two equal parts, how many divisions will the shelf have in total?
(a) 3
(b) 6
(c) 9
(d) 12
Difficulty Level: Medium
Ans: Option (b) is correct.
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Topics covered
- Squares and Rectangles
- Constructing Squares and Rectangles Diagonals of Rectangles and Squares Constructing Two Squares Within a Rectangle
- Construction of angle 60 degrees Construction of perpendicular bisector
- Constructing the Diagonal of a Square
- Constructing the Diagonal of a Rectangle
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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