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All questions of Understanding Elementary Shapes for Class 6 Exam

An angle whose measure is more than 90ο
  • a)
    acute angle
  • b)
    60º
  • c)
    obtuse angle
  • d)
    right angle
Correct answer is option 'C'. Can you explain this answer?

Shreshtha answered
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees and less than 180 degrees

An angle whose measure is the sum of the measures of two right angles is _____.
  • a)
    straight angle
  • b)
    obtuse angle
  • c)
    right angle
  • d)
    acute angle
Correct answer is option 'A'. Can you explain this answer?

Rajeev Sen answered
A straight angle is just a mathematical way of saying a straight line. Basically, it's a perfectly straight line with no bending 

In ∠PRQ, which of the following are the two arms?
  • a)
     
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
⇒ In ∠PRQ, Q is a vertex of an angle.
⇒ RP and RQ are two rays of an angle.
⇒ So, RP and RQ​ are two arms of ∠PRQ.

An angle whose measure is equal to one-fourth of a revolution is
  • a)
    right angle
  • b)
    straight angle
  • c)
    obtuse angle
  • d)
    acute angle
Correct answer is option 'A'. Can you explain this answer?

Option 'A' is correct because...
Revolution = 360 degree
One fourth of revolution = 1X360/4
=90 degree
Since right angle is an angle whose measurement is 90 degree it is an right angle :)

How many metres is 805 cm?
  • a)
    80.5 m
  • b)
    8.5 m
  • c)
    8.50 m
  • d)
    8.05 m
Correct answer is option 'D'. Can you explain this answer?

Sanjeev answered
To convert 805 cm into metres:

1.Divide the number by 100. (805/100 because metre is equal to 100cm)

2.The result obtained is 8.05.

3.Then add the relative unit in the number to get the answer, which was 8.05m

Therefore option D is the correct answer.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 3 to 9?
  • a)
    1/3
  • b)
    1
  • c)
    1/4
  • d)
    1/2
Correct answer is option 'D'. Can you explain this answer?

Ankit answered
Simple way to solve this question:-

gap between the hour hand = 3-9 = 6 hrs
1 hour makes 30 degree
So, 6 hrs makes 180 degree
Now, 1 revolution is 360 degree
so,
180/360
1/2

An angle whose measure is equal to half of a revolution is
  • a)
    right angle
  • b)
    acute angle
  • c)
    straight angle
  • d)
    obtuse angle
Correct answer is option 'C'. Can you explain this answer?

Kunal Mehta answered
One full turn of the hand is 1 revolution. A right angle is 1/4 revolution and a straight angle is 1/2 a revolution. 
180 deg is considered as a straight line and half of the revolution is also 180 deg.

By what measure is the line m longer than the line n? 
  • a)
    1 cm
  • b)
    2 cm
  • c)
    3 cm
  • d)
    4 cm
Correct answer is option 'D'. Can you explain this answer?

Ashwani Mishra answered
Length of line A = 9 cm
Length of line B = 7−2 = 5 cm
Length of line A − length of line B = 9 − 5 = 4 cm
Hence, line A is 4 cm longer than line B.

Where will the hand of a clock stop if it starts at 2 and makes 1/4 of a revolution, clockwise?
  • a)
    5
  • b)
    11
  • c)
    8
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

The minute hand of a clock completes a full revolution in 60 minutes, which is equivalent to 360 degrees. Therefore, if the hand of a clock makes 1/4 of a revolution, it will cover 1/4 of 360 degrees, which is 90 degrees.

To determine where the hand will stop, we need to consider the starting position of the hand. In this case, the hand starts at 2 on the clock. Each number on the clock represents a specific angle. The angle between each number is 30 degrees because there are 12 numbers on the clock and 360 divided by 12 equals 30.

Starting from 12 and moving clockwise, we can calculate the angle for each number:
- 12: 0 degrees
- 1: 30 degrees
- 2: 60 degrees
- 3: 90 degrees

As we can see, the angle for 2 is 60 degrees. Since the hand is going to cover an additional 90 degrees (1/4 of a revolution), we can add 90 degrees to the current angle of 60 degrees.

60 degrees + 90 degrees = 150 degrees

Therefore, the hand of the clock will stop at an angle of 150 degrees. Now we need to determine which number represents this angle on the clock.

Using the same calculation as before, we can find that the angle between 2 and 3 is 90 degrees. This means that the angle between 2 and 3 is greater than 150 degrees. Therefore, the hand of the clock will not reach 3. We need to continue counting the angles to find the correct position.

- 4: 120 degrees
- 5: 150 degrees

As we can see, the angle for 5 is 150 degrees, which matches the angle we calculated for the hand of the clock. Therefore, the hand will stop at 5.

Hence, the correct answer is option 'A' - 5.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 1 to 10?
  • a)
    3/4
  • b)
    1/4
  • c)
    More than 3/4
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Debolina Shah answered
To solve this problem, we need to first understand the concept of a clockwise revolution and how it relates to the hour hand of a clock.

Clockwise revolution: A complete clockwise revolution is when the hour hand of a clock completes a full circle and returns to its starting position, which is 12 o'clock.

Hour hand: The hour hand of a clock represents the hours that have elapsed since the start of the day. It moves at a slower pace than the minute hand, which represents the minutes that have elapsed since the start of the hour.

Now, let's look at the question again. We need to find out what fraction of a clockwise revolution the hour hand of a clock turns through when it goes from 1 to 10. Here's how we can solve this problem:

Step 1: Determine the distance between 1 and 10 on a clock face.

We know that a clock face has 12 hour markers, so the distance between 1 and 10 is 9 hour markers.

Step 2: Calculate the angle between 1 and 10.

To calculate the angle between 1 and 10, we need to know that a full circle has 360 degrees. Since there are 12 hour markers on a clock face, each hour marker represents 30 degrees (360 degrees ÷ 12 hour markers = 30 degrees).

Therefore, the angle between 1 and 10 is:

9 hour markers × 30 degrees per hour marker = 270 degrees

Step 3: Determine what fraction of a clockwise revolution the hour hand turns through.

We know that a full clockwise revolution is 360 degrees, so we need to express 270 degrees as a fraction of 360 degrees.

270 degrees ÷ 360 degrees = 3/4

Therefore, the answer is 3/4, which means that the hour hand turns through 3/4 of a clockwise revolution when it goes from 1 to 10 on a clock face.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 5 to 11?
  • a)
    1/2
  • b)
    More than 1/4
  • c)
    3/4
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

When it moves from 12 to 6, it moves two right angles, that is, 180�. This is 180/360 = � of one revolution. When the hour hand goes from 3 to 9, it moves or rotates by two right angles, that is 180�. When the hour hand of the clock goes from 4 to 7, it rotates by 1 right angle, that is 90�

An angle which measures 0 is called a/an ___ angle.
  • a)
    zero
  • b)
    straight
  • c)
    obtuse
  • d)
    right
Correct answer is option 'A'. Can you explain this answer?

Angle Measurement

An angle is formed when two lines or line segments meet at a common point. The measurement of an angle is based on the amount of rotation between the two lines, which is usually expressed in degrees.

Types of Angles

There are several types of angles based on their measurements. Let's briefly discuss them before addressing the specific question.

1. Zero Angle: An angle that measures 0 degrees is called a zero angle.
2. Acute Angle: An angle that measures less than 90 degrees is called an acute angle.
3. Right Angle: An angle that measures exactly 90 degrees is called a right angle.
4. Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees is called an obtuse angle.
5. Straight Angle: An angle that measures exactly 180 degrees is called a straight angle.
6. Reflex Angle: An angle that measures more than 180 degrees but less than 360 degrees is called a reflex angle.

The Zero Angle

A zero angle is a unique type of angle that measures 0 degrees. It can be visualized as two lines or line segments overlapping each other. Since there is no rotation or inclination between the lines, the angle formed is considered to be zero.

Why is the Answer 'A' - Zero Angle?

In the given question, it is stated that an angle measures 0. Based on the types of angles mentioned above, we can conclude that an angle measuring zero degrees is referred to as a zero angle. This means that the correct answer to the question is option 'A'.

It is crucial for students to understand the different types of angles and their measurements to solve geometry problems accurately. The concept of angles is extensively used in various mathematical and real-world applications, such as measuring distances, calculating areas, and determining shapes.

What type of an angle is ∠AOB? 
  • a)
    An obtuse angle
  • b)
    A right angle
  • c)
    An acute tangle
  • d)
    A straight angle
Correct answer is option 'A'. Can you explain this answer?

Shyla Jose answered
An angle is a shape formed when two rays meet at a single point. Angles are measured in degrees (°), or radians, and are represented by the symbol "∠". Here are some types of angles: Acute angle An angle that measures less than 90°. For example, a 30° or 65° angle is acute. Right angle An angle that measures exactly 90°. It's formed when two lines or rays intersect perpendicularly. A square has four right angles. Straight angleAn angle that measures 180° is called straight angle. So, the angle AOB is greater than 90°and less than 180° it's called obtuse angle

Where will the hand of a clock stop if it starts at 6 and makes 3/4 of a revolution, clockwise?
  • a)
    12
  • b)
    9
  • c)
    6
  • d)
    3
Correct answer is option 'D'. Can you explain this answer?

A quarter of the clock is 3 hours. a full revolution is 12 hours. 3 quarters means 9 hours which means if we start the 3/4 revolution from 6 it would finish at 3. so it is the correct answer

Where will the hand of a clock stop if it starts at 3 and makes 1/2 of a revolution, clockwise?
  • a)
    9
  • b)
    5
  • c)
    6
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Sanskriti Sen answered
Explanation:

Starting Position:
- The hand of a clock starts at 3.

1/2 Revolution:
- A clock completes 1 full revolution in 12 hours.
- Therefore, 1/2 revolution will be equivalent to 6 hours.
- Starting from 3, if the hand moves clockwise for 6 hours, it will stop at 9.

Therefore, the hand of the clock will stop at 9 if it starts at 3 and makes 1/2 of a revolution clockwise. So, the correct answer is option 'A'.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 12 to 9?
  • a)
    1/4
  • b)
    3/4
  • c)
    1/2
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Madhi Vadhani answered
When the hour hand of clock turn 3 right angles from 12 to 9.

3 right angles = 3/4

The fraction of clockwise revolution when it goes from 12 to 9 is 3/4

Where will the hand of a clock stop if it starts at 3 and makes 1/4 of a revolution, clockwise?
  • a)
    6
  • b)
    9
  • c)
    12
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Explanation:
When a clock starts at 3 and makes 1/4 of a revolution clockwise, let's analyze what happens to the position of the hour hand.

1. The clock has 12 numbers (1 to 12) representing the hours.
2. A complete revolution of the hour hand takes 12 hours.
3. Thus, 1/4 of a revolution of the hour hand would take 12/4 = 3 hours.

Analysis:
1. The hour hand moves 3 hours clockwise from the starting position at 3.
2. Starting from 3, we count 3 hours clockwise, which leads us to the number 6 on the clock.

Conclusion:
Therefore, the hand of the clock will stop at the number 6 if it starts at 3 and makes 1/4 of a revolution clockwise. Hence, option 'A' is the correct answer.

Which is the longest rectangle ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Devika Nair answered
By observing & comparing the given figures, rectangle B is the longest rectangle.

Chapter doubts & questions for Understanding Elementary Shapes - Mathematics (Maths) Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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