Important Questions Test: Understanding Elementary Shapes - Class 6 MCQ

# Important Questions Test: Understanding Elementary Shapes - Class 6 MCQ

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## 20 Questions MCQ Test Mathematics (Maths) Class 6 - Important Questions Test: Understanding Elementary Shapes

Important Questions Test: Understanding Elementary Shapes for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The Important Questions Test: Understanding Elementary Shapes questions and answers have been prepared according to the Class 6 exam syllabus.The Important Questions Test: Understanding Elementary Shapes MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions Test: Understanding Elementary Shapes below.
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Important Questions Test: Understanding Elementary Shapes - Question 1

### What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 3 to 9?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 1

• Hour hand movement: The hour hand of a clock moves 360 degrees in 12 hours.

• From 3 to 9: To go from 3 to 9, the hour hand moves 180 degrees (half of 360 degrees).

• Fraction of revolution: Since the hour hand moves half of the total 360-degree revolution, the fraction is 1/2.

Therefore, the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 3 to 9 is 1/2.

Important Questions Test: Understanding Elementary Shapes - Question 2

### What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 4 to 7?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 2
Calculation of Fraction of Clockwise Revolution

• When the hour hand moves from 4 to 7, it covers 3 hours.

• Since the hour hand of a clock completes a full revolution in 12 hours, it moves 3/12 of the circle.

• Reducing the fraction 3/12, we get 1/4.

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Important Questions Test: Understanding Elementary Shapes - Question 3

### An angle whose measure is greater than that of a right angle is ______.

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 3
Explanation:

• Right Angle: A right angle measures exactly 90 degrees.

• Straight Angle: A straight angle measures exactly 180 degrees.

• Acute Angle: An acute angle measures less than 90 degrees.

• Obtuse Angle: An obtuse angle measures more than 90 degrees but less than 180 degrees.

Detailed

• An angle that is greater than a right angle, which is 90 degrees, falls into the category of an obtuse angle.

• Therefore, the correct answer to the question is Option D: Obtuse Angle.

• Obtuse angles are commonly seen in various geometric shapes and can be easily identified based on their measure being greater than that of a right angle.

• It is important to understand the different types of angles and their measures to accurately identify and classify them in various mathematical problems and real-life situations.

Important Questions Test: Understanding Elementary Shapes - Question 4

When the sum of the measures of two angles is that of a right angle, then each one of them is ______.

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 4
Explanation:

• Sum of angles in a right angle: In a right angle, the sum of the measures of two angles is 90 degrees.

• Types of angles: There are different types of angles based on their measure - acute, obtuse, right, and straight angles.

• Given condition: The sum of the measures of two angles is that of a right angle.

• Analysis: Since the sum of the angles is equal to a right angle, each angle must be less than 90 degrees to add up to 90 degrees.

• Conclusion: Therefore, each one of the angles must be an acute angle.

Important Questions Test: Understanding Elementary Shapes - Question 5

An angle whose measure is equal to one-fourth of a revolution is

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 5

• Definition: A revolution is equivalent to a full circle, which measures 360 degrees.

• Calculating: One-fourth of a revolution is equal to 360 degrees divided by 4, which equals 90 degrees.

• Characteristics: A right angle is defined as an angle that measures exactly 90 degrees.

• Conclusion: Therefore, an angle whose measure is equal to one-fourth of a revolution is a right angle.

Important Questions Test: Understanding Elementary Shapes - Question 6

Where will the hand of a clock stop if it starts at 2 and makes 1/2 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 6
Explanation:

• Starting Point: The hand of the clock starts at 2.

• 1/2 Revolution: Making 1/2 of a revolution means the hand moves halfway around the clock.

• End Point: The hand will stop at 8 after making 1/2 of a revolution clockwise.

Important Questions Test: Understanding Elementary Shapes - Question 7

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 5 to 11?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 7
Explanation:

• Step 1: From 5 to 11, the hour hand moves 6 hours.

• Step 2: In 12 hours, the hour hand makes a full revolution, which is equivalent to 1.

• Step 3: Therefore, in 6 hours, the hour hand moves through half of a full revolution.

• Step 4: Hence, the fraction of a clockwise revolution the hour hand turns through when going from 5 to 11 is 1/2.

Important Questions Test: Understanding Elementary Shapes - Question 8

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 7 to 10?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 8
Explanation:

• Fraction of a revolution: The hour hand of a clock makes one complete revolution in 12 hours.

• Time elapsed: From 7 to 10, 3 hours have passed.

• Fraction of a revolution turned through: To find the fraction of a revolution turned through, we divide the time elapsed by the total time for a complete revolution: 3 hours / 12 hours = 1/4.

Important Questions Test: Understanding Elementary Shapes - Question 9

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 1 to 10?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 9
Calculating the Fraction of a Clockwise Revolution

• For a clock, one complete revolution is equal to 12 hours.

• From 1 to 10 on the clock, there are 9 hours in total.

• To calculate the fraction of a clockwise revolution, divide the number of hours passed by 12.

Fraction Calculation

• Number of hours passed from 1 to 10 = 9 hours

• Divide 9 by 12: 9/12 = 3/4

Conclusion

• Therefore, the hour hand of the clock turns through 3/4 or three-fourths of a clockwise revolution when it goes from 1 to 10.

Important Questions Test: Understanding Elementary Shapes - Question 10

Where will the hand of a clock stop if it starts at 12 and makes 1/2 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 10
Explanation:

• Starting Position: The clock hand starts at 12.

• Half of a Revolution: Half of a revolution on a clock is equal to 6 hours.

• Direction: The question specifies that the hand moves clockwise.

• Final Position: Therefore, the hand will stop at 6.

Important Questions Test: Understanding Elementary Shapes - Question 11

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 12 to 9?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 11
Hour Hand Movement from 12 to 9 on a Clock:

• Initial Position: The hour hand starts at 12 and moves towards 9.

• 360-Degree Revolution: A full clockwise revolution on a clock is equal to 360 degrees.

• Hour Hand Movement: To calculate the fraction of a revolution, we need to determine how many degrees the hour hand moves from 12 to 9.

• Hour Hand Position at 12: At 12, the hour hand is at 0 degrees.

• Hour Hand Position at 9: At 9, the hour hand is at 270 degrees.

• Difference in Degrees: The hour hand moves from 0 degrees to 270 degrees, which is a movement of 270 degrees.

• Fraction of a Revolution: To find the fraction of a revolution, we divide the movement of the hour hand by a full revolution (360 degrees).

• Fraction Calculation: 270 degrees / 360 degrees = 3/4.

Therefore, the hour hand of a clock turns through 3/4 of a clockwise revolution when it goes from 12 to 9.
Important Questions Test: Understanding Elementary Shapes - Question 12

Where will the hand of a clock stop if it starts at 2 and makes 3/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 12
Explanation:

• First, let's calculate how many degrees are in 3/4 of a revolution. A full revolution is 360 degrees, so 3/4 of a revolution is (3/4) * 360 = 270 degrees.

• Starting at 2 o'clock, we need to move the hand 270 degrees clockwise. Each hour on the clock represents 30 degrees (360 degrees divided by 12 hours), so 270 degrees is equivalent to 9 hours (270 degrees divided by 30 degrees per hour).

• Adding 9 hours to 2 o'clock, the hand will stop at 11 o'clock.

Important Questions Test: Understanding Elementary Shapes - Question 13

Where will the hand of a clock stop if it starts at 3 and makes 1/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 13
Explanation:

• Starting position: The hand of the clock starts at 3.

• 1/4 of a revolution: 1/4 of a revolution is equivalent to 90 degrees (360 degrees / 4).

• Clockwise direction: The hand is moving in the clockwise direction.

• Final position: By moving 90 degrees clockwise from 3, the hand will stop at 6.

Important Questions Test: Understanding Elementary Shapes - Question 14

Where will the hand of a clock stop if it starts at 6 and makes 3/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 14
Explanation:

• When the hand of the clock starts at 6, it is already at the 30-minute mark (since each number on the clock represents 5 minutes).

• A full revolution of the clock hand is 360 degrees.

• 3/4 of a revolution is 270 degrees (3/4 * 360).

• Starting from 6 and moving clockwise, the hand will stop at the 3 o'clock mark when it reaches 270 degrees.

Important Questions Test: Understanding Elementary Shapes - Question 15

Where will the hand of a clock stop if it starts at 12 and makes 3/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 15
Explanation:

• Starting Point: The hand starts at 12.

• 3/4 of a Revolution: 3/4 of a revolution is equivalent to 270 degrees (3/4 * 360 degrees).

• Direction: Clockwise direction means the hand is moving to the right.

• Ending Point: The hand will stop at 9 after making 3/4 of a revolution clockwise.

Important Questions Test: Understanding Elementary Shapes - Question 16

Where will the hand of a clock stop if it starts at 3 and makes 1/2 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 16
Explanation:

• Starting Point: The hand of the clock starts at 3.

• 1/2 Revolution: Making 1/2 of a revolution clockwise means the hand will move from 3 to 9.

• Stopping Point: Therefore, the hand of the clock will stop at 9.

Important Questions Test: Understanding Elementary Shapes - Question 17

Where will the hand of a clock stop if it starts at 6 and makes 3/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 17

• Initial position: The hand of the clock starts at 6.

• 3/4 of a revolution: Clocks have 360 degrees in total. Three-fourths of 360 degrees is 270 degrees (3/4 * 360 = 270).

• Direction: The hand is moving clockwise.

• Calculating final position: Starting from 6 and moving 270 degrees clockwise, the hand will point to 3.

Therefore, the hand of the clock will stop at 3 if it starts at 6 and makes 3/4 of a revolution clockwise.

Important Questions Test: Understanding Elementary Shapes - Question 18

Where will the hand of a clock stop if it starts at 2 and makes 1/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 18
Explanation:

• Start Position: The hand starts at 2 on the clock.

• 1/4 Revolution: Making 1/4 of a revolution clockwise means moving 1/4 of the way around the clock face in a clockwise direction.

• Calculating the End Position: Since a full revolution is 12 hours, 1/4 of a revolution is 1/4 of 12, which is 3 hours. Starting at 2, moving 3 hours clockwise brings us to the number 5 on the clock face.

• Final Position: Therefore, the hand of the clock will stop at 5 after making a 1/4 revolution clockwise.

Important Questions Test: Understanding Elementary Shapes - Question 19

Where will the hand of a clock stop if it starts at 3 and makes 3/4 of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 19
Explanation:

• Starting position: The hand of the clock starts at 3.

• 3/4 of a revolution: 3/4 of a revolution is equivalent to 270 degrees (3/4 * 360 degrees).

• Ending position: 270 degrees clockwise from 3 is at 12.

Important Questions Test: Understanding Elementary Shapes - Question 20

Where will the hand of a clock stop if it starts at 12 and makes 1/4  of a revolution, clockwise?

Detailed Solution for Important Questions Test: Understanding Elementary Shapes - Question 20

• Initial Position: The hand of the clock starts at 12.

• 1/4 of a Revolution: Clockwise motion of 1/4 of a revolution means the hand moves 90 degrees.

• Direction of Movement: Since it is moving clockwise, it will move towards the right.

• Ending Position: After moving 90 degrees from the 12 o'clock position, the hand will stop at the 3 o'clock position.

• Final Answer: The hand of the clock will stop at 3.

## Mathematics (Maths) Class 6

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## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests