Class 6 Maths Chapter 2 Questions and Answers - Free PDF Download
In NCERT Solutions for Class 6 Maths Ch 2 Lines and Angles Ex 2.9, you'll learn all about measuring angles using a protractor. This exercise will help you easily spot different types of angles like acute, right, or obtuse, not just in your textbook but also in daily life—like clocks, swings, and even door openings!
Table of Content
These solutions from Vedantu are written in very simple steps to clear your doubts and boost your confidence. You can get helpful study tips, understand how to use a protractor, and even practice extra questions with their free downloadable PDFs. Check the updated Class 6 Maths Syllabus early to follow along easily.
NCERT Solutions guide you through each question with friendly explanations so exam preparation feels like a breeze. If you want more practice or revision, you can also use the full Class 6 Maths NCERT Solutions online anytime.
Question 1. Angles in a clock:
(a) The hands of a clock make different angles at different times. At 1 o’clock, the angle between the hands is 30°. Why?
(b) What will be the angle at 2 o’clock? And at 4 o’clock? 6 o’clock?
(c) Explore other angles made by the hands of a clock.
Answer:
(a) Numbers 1 to 12 are written along the circumference of a clock at equal distances.
360 ÷ 12 = 30.
Hence, angle between two consecutive numbers is 30°
At 1°’ clock hands are at 0 and 1 (consecutive numbers)
Hence angle between them is 30°.
(b) Angle between hands at 2 o’ clock = 2 × 30° = 60° angle between hands at 4 o’clock = 4 × 30°= 120°
Angle between hands at 6 o’ clock = 6 × 30°= 180°
(c) Angle between hands at 5 o’ clock = 5 × 30°= 150°
Angle between hands at 7 o’ clock = 7 × 30° = 210°
Angle between hands at 8 o’ clock = 8 × 30° = 240°
Question 2. The angle of a door: Is it possible to express the amount by which a door is opened using an angle? What will be the vertex of the angle and what will be the arms of the angle?
Answer: Yes, it is possible.
Here, vertex is B, and arms are AB and BC.
Question 3. Vidya is enjoying her time on the swing. She notices that the greater the angle with which she starts the swinging, the greater is the speed she achieves on her swing. But where is the angle? Are you able to see any angle?
Answer: Yes, an angle can be seen.
Question 4. Here is a toy with slanting slabs attached to its sides; the greater the angles or slopes of the slabs, the faster the balls roll. Can angles be used to describe the slopes of the slabs?
Answer: Greater the angle, greater the slope.
For each angle one arm is a side and one arm is the slope.
Question 5. Observe the images below where there is an insect and its rotated version, fan angles be used to describe the amount of rotation? How? What will be the arms of the angle and the vertex?
Hint: Observe the horizontal line touching the insects.
Answer: Both insects are rotated 90° clockwise.
Benefits of NCERT Solutions for Class 6 Maths Ex 2.9
Hands-On Practice: Encourages students to use a protractor, improving their practical skills.
Foundation in Geometry: Lays the groundwork for understanding more complex geometric concepts.
Problem-Solving Skills: Enhances analytical thinking through angle measurement and comparisons.
Real-World Relevance: Applies angle measurement in everyday scenarios, making learning engaging.
Class 6 Maths Chapter 2: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 2 - Lines and Angles
Conclusion
Exercise 2.9 on Measuring Angles in Chapter 2 is a crucial step in understanding geometry. By mastering angle measurement, students gain confidence and a solid foundation for future mathematical concepts. Vedantu's NCERT Solutions provide clear explanations and practice opportunities, making it easier for students to learn and excel in this topic.
Chapter-wise NCERT Solutions Class 6 Maths
The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions For Class 6 Maths Chapter 2 Lines And Angles Exercise 2.9 - 2025-26
1. What are the key topics I will learn to solve in NCERT Solutions for Class 6 Maths Chapter 2, Whole Numbers?
The NCERT Solutions for Class 6 Maths Chapter 2 guide you through solving problems related to whole numbers. Key topics include understanding predecessors and successors, performing operations like addition and subtraction on a number line, and applying the fundamental properties of whole numbers such as closure, commutativity, associativity, and the distributive property to simplify calculations.
2. What is the correct step-by-step method to find the predecessor and successor of a given whole number?
The correct method as per NCERT guidelines is straightforward:
To find the successor of a whole number, you must add 1 to it. For example, the successor of 99 is 99 + 1 = 100.
To find the predecessor of a whole number (except zero), you must subtract 1 from it. For example, the predecessor of 100 is 100 - 1 = 99. Note that the whole number 0 does not have a predecessor in whole numbers.
3. How do the NCERT Solutions explain solving addition problems on a number line in Chapter 2?
The NCERT Solutions provide a clear, step-by-step visual method. To add two whole numbers, say 3 and 4, you start at the first number (3) on the number line. Then, you make a number of jumps to the right equal to the second number (4). The point where you land is the sum. So, from 3, you jump 4 units to the right to land on 7.
4. How do you apply the distributive property to solve complex multiplication problems in NCERT Exercise 2.2?
The distributive property, a × (b + c) = (a × b) + (a × c), is used to break down a larger number into a sum of smaller, easier-to-manage numbers. For example, to solve 728 × 101, you can write 101 as (100 + 1). The problem becomes 728 × (100 + 1), which is solved as (728 × 100) + (728 × 1). This simplifies the calculation to 72800 + 728 = 73528.
5. Are the methods in these NCERT Solutions for Chapter 2 aligned with the latest CBSE syllabus for 2025-26?
Yes, these NCERT Solutions for Class 6 Maths Chapter 2 are fully updated and meticulously aligned with the official CBSE curriculum for the academic year 2025-26. The step-by-step methods and problem-solving techniques strictly follow the patterns and question types prescribed in the latest NCERT textbook.
6. Why is zero considered the smallest whole number, and what is its predecessor?
Zero is the smallest whole number because the set of whole numbers begins with 0 (0, 1, 2, 3,...). Natural numbers, on the other hand, start from 1. A key concept to understand is that a whole number cannot have a negative value. The predecessor of zero would be 0 - 1 = -1, which is an integer but not a whole number. Therefore, zero has no predecessor within the set of whole numbers.
7. How does understanding the associative property help in solving NCERT problems faster?
The associative property for addition [a + (b + c) = (a + b) + c] and multiplication [a × (b × c) = (a × b) × c] allows you to regroup numbers in a calculation to make it simpler. For example, when solving 8 + 17 + 12, instead of adding sequentially, you can regroup it as (8 + 12) + 17. This simplifies the problem to 20 + 17 = 37, which is much easier to calculate mentally. This technique is crucial for solving problems involving suitable rearrangement.
8. Why is subtraction not commutative for whole numbers, unlike addition?
Commutativity means the order of numbers does not change the result (a + b = b + a). This holds true for addition (e.g., 5 + 3 = 8 and 3 + 5 = 8). However, for subtraction, changing the order changes the result. For example, 5 - 3 = 2, but 3 - 5 = -2. Since 2 is not equal to -2, subtraction is not commutative for whole numbers. This is a fundamental rule explained in Chapter 2.
