2 Marks Questions

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^\circ $ or $\frac{360^\circ}{90^\circ}=4$ right angles. Thus, in $2.5$ hours, the minute hand will turn by $2.5 \times 4 = 10$ 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^\circ $ 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:

$i.\ $Point $B$ is the interior of $\angle\text{AOB}.$
$ii.\ $Point $B$ is the interior of $\angle\text{AOC}.$
$iii.\ $Point $A$ is the interior of $\angle\text{AOD}.$
$iv.\ $Point $C$ is the exterior of $\angle\text{AOB}.$
$v.\ $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 $360^\circ .$
If we express $360^\circ $ 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 $(4 \times 4.5) = 18$ 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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Maths 2 Marks Questions

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