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Maths 5 Marks Questions

Understanding Elementary Shape · Uttarakhand Board (UBSE) STD 6 (Uttarakhand - English Medium). 15 questions.

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5 Marks Questions

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Question 15 Marks
Match the following:
Measures of Triangle Type of Triangle
$(a)$ $3$ sides of equal length $(i)$ Scalene
$(b)$ $2$ sides of equal length $(ii)$ Isosceles right angled
$(c)$ All sides are of different length $(iii)$ Obtuse angled
$(d)$ $3$ acute angles $(iv)$ Right angled
$(e)$ $1$ right angle $(v)$ Equilateral
$(f)$ $1$ obtuse angle $(vi)$ Acute angled
$(g)$$1$ right angle with two sides of equal length $(vii)$ Isosceles
Answer
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Question 25 Marks
Measure and classify each angle:
Angle Measure Type
$\angle AOB$    
$\angle AOC$    
$\angle BOC$    
$\angle DOC$    
$\angle DOA$    
$\angle DOB$    
Answer
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Question 35 Marks
Match the following:
$(a)$ Straight angle $(i)$ Less than one-fourth a revolution
$(b)$ Right angle $(ii)$ More than half a revolution
$(c)$ Acute angle $(iii)$ Half of a revolution
$(d)$ Obtuse angle $(iv)$ One-fourth a revolution
$(v)$Reflex angle $(v)$Between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution
  $(vi)$One complete revolution
Answer
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Question 65 Marks
How many right angle do you make if you start facing north and turn anti-clockwise to east?
Answer
One complete revolution is of $360^\circ $ or we can say $4$ right angles.
If you start from North and turn anti-clockwise to east then you are making $3$ right angles as shown in figure below.
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Question 75 Marks
How many right angle do you make if you start facing south and turn clockwise to west?
Answer
One complete revolution is of $360^\circ $ or we can say $4$ right angles.
If you start from South and turn clockwise to west then you are making $1$ right angle as shown in figure below.
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Question 85 Marks
What part of a revolution have you turned through if you stand facing west and turn clockwise to face east?
Answer
As we know that if we complete one revolution whether clockwise or anti-clockwise we will be making an angle of $360^\circ .$
If we start from West and turn clockwise to face east then we will be completing the half of the revolution which is of $180^\circ $ as shown in figure below.
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Question 95 Marks
What part of a revolution have you turned through if you stand facing south and turn clockwise to face east?
Answer
As we know that if we complete one revolution whether clockwise or anti-clockwise we will be making an angle of $360^\circ .$
If we start from South and turn clockwise to face East then we will be completing the three fourth of the revolution which is of $270^\circ $ as shown in figure below.
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Question 105 Marks
What part of a revolution have you turned through if you stand facing east and turn clockwise to face north?
Answer
As we know that if we complete one revolution whether clockwise or anti-clockwise we will be making an angle of $360^\circ .$
If we start from South and turn clockwise to face East then we will be completing the three fourth of the revolution which is of $270^\circ $ as shown in figure below.
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Question 115 Marks
Which direction will you face if you start facing south and make one full revolution?
(Should we specify clockwise or anti-clockwise? Why not?)
Answer
As we know that if we complete one revolution whether clockwise or anti-clockwise we will be making an angle of $360^\circ .$
If we start from South and turn clockwise to face East then we will be completing the three fourth of the revolution which is of $270^\circ $ as shown in figure below.
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Question 125 Marks
Which direction will you face if you start facing west and make $\frac{3}{4}$ of a revolution anti-clockwise?
Answer
As we know that if we complete one revolution whether clockwise or anti-clockwise we will be making an angle of $360^\circ .$
If we start from South and turn clockwise to face East then we will be completing the three fourth of the revolution which is of $270^\circ $ as shown in figure below.
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Question 135 Marks

Which direction will you face if you start facing east and make $1\frac{1}{2}$ of a revolution clockwise?

Answer
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Question 145 Marks
Which direction will you face if you start facing east and make $\frac{1}{2}$ of a revolution clockwise?
Answer
By looking at the clock we can see when the hour hand goes from $12$ to $9$ it basically covers three right angles which is of $= 90 + 90 + 90 = 270^\circ .$
Therefore, required Fraction = $\frac{270}{260}$ = $\frac{3}{4}$ 
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Question 155 Marks
Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.
Answer
By looking at the clock we can see when the hour hand goes from $12$ to $9$ it basically covers three right angles which is of $= 90 + 90 + 90 = 270^\circ .$
Therefore, required Fraction = $\frac{270}{260}$ = $\frac{3}{4}$ 
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