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8 questions · timed · auto-graded

Question 12 Marks
Look at your watch face. Through how many right angles does the minute hand moves between 8:00 O’clock and 10:30 O’clock?
Answer
The time interval between 8:00 O’clock and 10:30 O’clock is 2.5 hours, i.e., two and a half hours.
In 1 hour, the minute hand turns by a complete angle, i.e., 360° or $\frac{360^\circ}{90^\circ}=4$ right angles.
Thus, in 2.5 hours, the minute hand will turn by 2.5 × 4 = 10 right angles.
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Question 22 Marks
Shikha is rowing a boat due north-east. In which direction will she be rowing if she turns it through:
a complete angle.
Answer
If Shikha turns through a complete angle or 360 degrees, she will be rowing along her original direction, i.e., north-east direction.
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Question 32 Marks
You are standing in a class room facing north. In what direction are you facing after making a quarter turn?
Answer
After making a quarter turn or a turn of 90 degrees, i will be facing east if i turn to my right hand. Similarly, if i turn to my left hand, i will be facing west.
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Question 42 Marks
If a bicycle wheel has 48 spokes, then find the angle between a pair of adjacent spokes.
Answer
In a bicycle, the central angle measures 360° and it consists of 48 spokes.
Therefore, angle between any two adjacent spokes $=\frac{360^\circ}{48^\circ}=7.5^\circ.$
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Question 52 Marks
Shikha is rowing a boat due north-east. In which direction will she be rowing if she turns it through:
a straight angle.
Answer
If Shikha turns through a straight angle or 180 degrees, she will be rowing along the south-west direction.
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Question 62 Marks
In Figure, Which of the following statement are true:
  1. Point B is the interior of $\angle\text{AOB}.$
  2. Point B is the interior of $\angle\text{AOC}.$
  3. Point A is the interior of $\angle\text{AOD}.$
  4. Point C is the exterior of $\angle\text{AOB}.$
  5. Point D si the exterior of $\angle\text{AOC}.$
Answer
(ii), (iv) and (v) are true statements.
(i), and (iii) are incorrect statements as B lies on $\angle\text{AOB}$ and A lies on $\angle\text{AOD}.$
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Question 72 Marks
A bicycle wheel makes four and a half turns. Find the number of right angles through which it turns.
Answer
In one turn, the wheel of a bicycle covers 360°.
If we express 360° in right angles, we get:
$\frac{360^\circ}{90^\circ}=4$ right angles.
Thus, in four and a half turns, the wheel will turn by (4 × 4.5) = 18 right angles.
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Question 82 Marks
A ship sailing in river Jhelam moves towards east. If it changes to north, through what angle does it turn?
Answer
If the ship is sailing in east direction and turns to north direction, it turns through an angle of 90 degrees.
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2 Mark Question - Maths STD 6 Questions - Vidyadip