Understanding Elementary Shapes - Free MCQ Test with solutions, Class 6

• 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.

• 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.

- An angle greater than a right angle (90 degrees) but less than a straight angle (180 degrees) is an obtuse angle.
- A right angle measures exactly 90 degrees.
- An acute angle is less than 90 degrees.
- A reflex angle is greater than 180 degrees.
- Thus, an obtuse angle is between 90 and 180 degrees, making option D the correct choice.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

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


• Divide 9 by 12: 9/12 = 3/4

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.