Is Class 6 Maths Chapter 2 tough?

Class 6 Chapter 2 Maths is about Whole Numbers. 0 and positive integers are called whole numbers. These are what we generally use in our calculations in daily life. The concept of Whole Numbers is quite easy. So, Students will get the idea easily if they follow the textbook. Furthermore, they can go through the Important Questions Class 6 Maths Chapter 2 to solve different questions that our experts have collected from different sources.

How can the Important Questions Class 6 Maths Chapter 2 help students?

Extramarks in-house subject experts have collected the questions to benefit students. They have organised the questions from different sources like the textbook exercise, CBSE sample papers and past years' question papers. So, students will get all the vital questions in the set of important questions , and they will find some of the answers in this article too. Thus, the Important Questions Class 6 Maths Chapter 2 will definitely help them practise and clear the concepts to embrace Maths and aim for the highest score in exams.

Home > CBSE > CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

Class 6 Maths Chapter 2 Lines and Angles is part of the new NCERT textbook Ganita Prakash. It teaches students the basic ideas of geometry: points, lines, line segments and rays, and how two lines can cross each other. Students then learn what an angle is, how to measure it with a protractor, and how to name angles as acute, right, obtuse, straight, reflex and complete angles.

These CBSE important questions for Class 6 Maths Chapter 2 cover naming line segments and rays from a figure, reading angles on a protractor, finding angles that are less than a straight or complete angle, turning through angles in different directions, and an assertion-reason question on clock angles. Every question has a clear step-by-step answer in simple English, so students can practise on their own, parents can check the working, and teachers can use them for class tests. A free printable PDF of these important questions is also available on this page.

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

Lines and Angles (New NCERT)

Medium

Join A to other grid points in the figure by a straight line to get a straight angle. What are all the different ways of doing it?

Lines and Angles (New NCERT)

Medium

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? What are the arms of each angle? Which arm is visible and which is not?

Lines and Angles (New NCERT)

Medium

Estimate the size of each angle and then measure it with a protractor:

Classify these angles as acute, right, obtuse or reflex angles.

Lines and Angles (New NCERT)

Medium

Draw angles with the following degree measures:

(a) 140^o
(b) 82^o
(c) 195^o
(d) 70^o
(e) 35^o

Lines and Angles (New NCERT)

Medium

In this figure, ∠TER = 80^o.

What is the measure of ∠BET?
What is the measure of ∠SET?

Lines and Angles (New NCERT)

Medium

Use a protractor to find the measure of each angle. Then classify each angle as acute, obtuse, right, or reflex.

(a) ∠PTR
(b) ∠PTQ
(c) ∠PTW
(d) ∠WTP

Lines and Angles (New NCERT)

Medium

Draw an angle whose degree measure is the same as the angle given below:

Also, write down the steps you followed to draw the angle.

Lines and Angles (New NCERT)

Medium

In the given figure below, list all the angles possible. Did you find them all? Now, guess the measures of all the angles. Then, measure the angles with a protractor. Record all your numbers in a table. See how close your guesses are to the actual measures.

Lines and Angles (New NCERT)

Medium

Observe the images below where there is an insect and its rotated version. Can angles be used to describe the amount of rotation? How? What will be the arms of the angle and the vertex?

Lines and Angles (New NCERT)

Easy

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?

Lines and Angles (New NCERT)

Medium

Now join A to other grid points in the figure by a straight line to get a right angle. What are all the different ways of doing it?

Lines and Angles (New NCERT)

Medium

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?

Lines and Angles (New NCERT)

Medium

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^o. Why?

(b) What will be the angle at 2 o'clock? And at 4 o'clock?

Lines and Angles (New NCERT)

Difficult

Measure all three angles of the triangle shown in the figure (a) given below and write the measures down near the respective angles. Now add up the three measures. What do you get?
Do the same for the triangles in the figure (b) and (c).
Try it for other triangles as well, and then make a conjecture for what happens in general! We will come back to why this happens in a later year.

Lines and Angles (New NCERT)

Easy

Find the degree measures of ∠PQR, ∠PQS and ∠PQT.

Lines and Angles (New NCERT)

Easy

Find the degree measures of ∠BXE, ∠CXE, ∠AXB and ∠BXC.

Lines and Angles (New NCERT)

Easy

Measure and write the degree measures for each of the following angles:

Lines and Angles (New NCERT)

Easy

How can you find the degree measure of the angle given below using a protractor?

Lines and Angles (New NCERT)

Medium

Find the degree measures of different angles in your classroom using your protractor.

Lines and Angles (New NCERT)

Medium

Make any figure with three acute angles, one right angle and two obtuse angles.

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

Q1. In the figure, name:
1. Three line-segments
2. Four rays
3. A pair of intersecting lines.

Line ABCD cut by the slanted line EF at point C

Answer: 1. Three line-segments: AB, BC and AC. A line segment has two end points, so any two marked points on the line make a line segment.
2. Four rays: AD, BD, CD and CF. A ray starts at one point and goes on without end in one direction (shown by the arrow).
3. A pair of intersecting lines: line AD and line EF. They cross each other at point C.

Q2. In the given figure, the number of line segments are
(a) 4
(b) 3
(c) 2
(d) 1

Four lines crossing to form points P, Q, R and S

Answer: (a) 4
A line segment is the part of a line between two end points. The four points P, Q, R and S give us four line segments: PR, QS, PQ and RS.

Q3. The difference between a line and a line segment is:
(a) a line has indefinite length and a line segment has definite length
(b) a line has definite length and a line segment has indefinite length
(c) a line has no length and a line segment has breadth
(d) no difference between line and line segment

Answer: (a) a line has indefinite length and a line segment has definite length
A line goes on without end in both directions, so we cannot measure its length. A line segment has two end points, so it has a fixed (definite) length that can be measured.

Q4. Look at the angle ∠CAB in the figure. What type of angle is it?
(a) Acute
(b) Obtuse
(c) Reflex
(d) Straight

Angle CAB measuring 85 degrees

Answer: (a) Acute
The angle ∠CAB measures 85°. Since 85° is less than 90°, it is an acute angle.

Q5. Look at the angle shown using the protractor. What type of angle is it?
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) Straight angle

Protractor showing an angle of 65 degrees

Answer: (a) Acute angle
Reading the protractor, the angle measures 65°. Since 65° is less than 90°, it is an acute angle.

Q6. An angle is measured in the anti-clockwise direction and is found to be 18° less than a straight angle. What is the measure of this angle? What type of angle is this?

Answer: A straight angle = 180°
Measure of this angle = 180° − 18° = 162°
Since 162° is greater than 90° but less than 180°, it is an obtuse angle.

Q7. An angle is measured in the anti-clockwise direction and is 10° less than a complete angle. What is the measure of the angle and its type?
(a) 360°, Complete angle
(b) 180°, Straight angle
(c) 350°, Reflex angle
(d) 170°, Obtuse angle

Answer: (c) 350°, Reflex angle
A complete angle = 360°
So, 360° − 10° = 350°
Since 350° is greater than 180° and less than 360°, it is a reflex angle.

Q8. What is the measure of the angle?
(a) 75°
(b) 125°
(c) 115°
(d) 55°

Protractor showing an angle of 115 degrees

Answer: (c) 115°
The arm of the angle starts at 0° on the right side of the protractor and the other arm passes through 115° on the same scale. So the angle measures 115°.

Q9. Look at the angle ∠CAB in the figure. Using a protractor, what is the measure of this angle?
(a) 15°
(b) 45°
(c) 77°
(d) 48°

Small angle CAB between rays AB and AC

Answer: (a) 15°
Using a protractor, the measure of ∠CAB is 15°. It is a very small acute angle.

Q10. What type of angle is greater than 180° but less than 190°?
(a) Straight
(b) Obtuse
(c) Reflex
(d) Complete

Answer: (c) Reflex
Any angle greater than 180° and less than 360° is called a reflex angle. An angle between 180° and 190° lies in this range, so it is a reflex angle.

Q11. Rachit starts facing North. He turns clockwise and stops after turning 197°. What type of angle has he turned through? Also, which direction is he facing now?

Answer: Angle turned = 197°, which is more than 180° but less than 360°. So, it is a reflex angle.
Rachit starts facing North.
From North to East (clockwise) = 90°
From East to South = 90° more
Total so far = 180°, so after 180° he faces South.
197° is 17° more than 180°. So he turns 17° past South, towards West.
Rachit is now facing a little past South, i.e. between South and West.

Compass showing a clockwise turn of 197 degrees from North, ending between South and West

Q12. Assertion (A): Measures of the two angles between hour and minute hands of a clock at 7 o'clock are 150° and 210°.
Reason (R): A straight angle is one-fourth of a revolution.
Choose the correct option:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.

Answer: (c) A is true, but R is false.
At 7 o'clock, the hour hand is at 7 and the minute hand is at 12.
Each hour mark on the clock = 30°.
The hands are 5 hour marks apart, so the smaller angle = 5 × 30° = 150°.
The larger angle = 360° − 150° = 210°. So the Assertion is true.
One full revolution = 360°. One-fourth of a revolution = 90°, which is a right angle. A straight angle is half a revolution (180°). So the Reason is false.

Related Study Material on Extramarks

Q.1 98 × 5 = 490,

98 × 15 = 490 × 3,

98 × 25 = 490 × 5,

Basis on this pattern, 98 × 35 will be

490 × 2

490 × 4

490 × 7

p>490 × 9

Marks:1

Ans

Since, 98×5 = 490

98×15 = 98×5×3 = 490×3
98×25 = 98×5×5 = 490×5

Therefore, 98×35 = 98×5×7 = 490×7

Q.2 What is the value of 384 × 12 + 384 × 8?

(a) 7680

(b) 7660

(c) 9690

(d) 7690

Marks:1

Ans

7680

384 × 12 + 384 × 8

= 384 × (12 + 8) (Using distributive property)

= 384 × 20

= 7680

Q.3 Which of the following is incorrect regarding whole numbers?

(a) Whole numbers are closed under subtraction.

(b) Whole numbers are closed under addition.

(c) Whole numbers are closed under multiplication.

(d)Whole numbers are associative under addition.

Marks:1

Ans

Whole numbers are closed under subtraction.

The collection of whole numbers is not closed under subtraction.
Example, 2 ? 4 = ?2, which is not a whole number.

Q.4 The digits 5 and 7 are interchanged in the number 27658. Find the difference between the original number and the new number.

Original number =27658
New number =25678
Difference

$\begin{array}{l} 27658 \\ \underline{25678} \\ \underline{1980} \end{array}$

Marks:2

Ans

Original number =27658
New number =25678
Difference

$\begin{array}{l} 27658 \\ \underline{25678} \\ \underset{}{1980} \end{array}$

Q.5 Multiply using suitable rearrangements.

$25 \times 7896 \times 4 \times 50 \times 2$ $(25 \times 4) \times 7896 \times (50 \times 2)$ $= 100 \times 7896 \times 100$ $= 78960000$

Marks:3

Ans

$(25 — 4) — 7896 — (50 — 2)$ $= 100 — 7896 — 100$ $= 78960000$

Please register to view this section

Chapter 1 - Knowing Our Numbers

Chapter 3 - Playing with Numbers

Chapter 4 - Basic Geometrical Ideas

Chapter 5 - Understanding Elementary Shapes

Chapter 6 - Integers

Chapter 7 - Fractions

Chapter 8 - Decimals

Chapter 9 - Data Handling

Chapter 10 - Mensuration

Chapter 11 - Algebra

Chapter 12 - Ratio and Proportion

Chapter 13 - Symmetry

Chapter 14 - Practical Geometry

FAQs (Frequently Asked Questions)

A line has no endpoints, a ray has one endpoint, and a line segment has two endpoints. A line segment has fixed length, but a line and ray cannot be measured fully.

Only one line can pass through two distinct points. This rule helps students draw a unique straight line through any two given points.

The two rays that form an angle are called its arms. Their common endpoint is called the vertex of the angle.

The hands of a clock at 3 o’clock form a right angle. The angle between the hour hand and minute hand is 90°.

Parallel lines never meet, even when extended. Perpendicular lines meet at exactly 90° and form a right angle.

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

CBSE Important Questions Class 6 Maths Chapter 2 – Lines and Angles

Related Study Material on Extramarks