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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 2 Lines and Angles.
[Download] Case Study Questions for Class 6 Maths Chapter 2 Lines and Angles
Passage 1:
In a geometry lesson, a student was working with a pair of intersecting lines. The student found that one of the angles formed was 60°. The teacher explained that at the intersection, there are pairs of equal angles and supplementary angles (angles that add up to 180°).
Q. 1. What is the measure of the angle directly opposite the 60° angle?
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Ans. Option (b) is correct.
Explanation: As it is vertically opposite angle.
Q. 2. If one angle is 60°, what is the measure of the angle adjacent to it on the same straight line?
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Ans. Option (d) is correct.
Explanation: Angles on a straight line add up to 180°. If one angle is 60°, the adjacent angle is 180° – 60° = 120°.
Q. 3. The teacher mentioned that angles that add up to 180° are called supplementary. If one angle is 60°, what is the measure of its supplementary angle?
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Ans. Option (d) is correct.
Explanation: Supplementary angles add up to 180°. If one angle is 60°, the supplementary angle is
180° – 60° = 120°. Q. 4. How can you use the information that angles opposite each other are equal to verify the measure of the angle opposite the 60° angle? (Medium)
Sol. We can use the fact that opposite angles formed by intersecting lines are congruent (equal). Since one angle is measured as 60°, the angle directly oppo site it must also be 60°, confirming the property of equal opposite angles.
Q. 5. The student needed to check if the angles formed by the intersecting lines were supplementary. If one angle was 60°, how would the student confirm that the angle next to it is supplementary?
Sol. The student would add the measure of the 60° angle to the measure of the adjacent angle and check if the sum is 180°. Since the supplementary angles on a straight line add up to 180°, if the adjacent angle is 120°, the sum would be 60°+120° = 180°, confirming they are supplementary.
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Topics covered
- Point
- Line Segment
- Lines
- Intersecting Lines
- Parallel Lines
- Ray
- Angles
- Angle Measurement
- Angle Comparison
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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