Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 52

MEDIUM

7th CBSE

IMPORTANT

Earn 100

A circle is inscribed in a square of side $14 m$ . The ratio of the area of the circle and that of the square is _____.

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Important Questions on Mensuration

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 53

The area of a square field is

64 m^{2}

. A path of uniform width is laid around and outside of it. If the area of the path is

17 m^{2}

, then find the width of the path.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 54

How many times should a wheel of radius

7 m

rotate to go around the perimeter of a rectangular field of length

60 m

and breadth

50 m

? [Take

π = \frac{22}{7}

]

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 55

The minute hand of a clock is

14 cm

long. How far does the tip of the minute hand move in

60 \min

? [Take

π = \frac{22}{7}

]

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 56

A square sheet of maximum area is cut out from a circular piece of card board of radius

14 cm

. The area of the remaining card board (in

{cm}^{2}

) is

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 57

The area of a circular play ground is

616 m^{2}

. A path of width

3 m

is laid around and outside of it. Find the cost of levelling the path at the rate of

₹ 14

per square metre. [Take

π = \frac{22}{7}

]

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 58

The parallel sides of a trapezium are

24 cm

and

20 cm

. The distance between them is

7 cm

. Find the radius of a circle whose area is equal to the area of the trapezium.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 59

In the figure below, $A B C D$ is a square of side $14 cm$ and two semicircles are drawn inside of it with $A B$ and $C D$ as diameters. Find the area of the shaded region in the figure.

Question Image

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 6 - Mensuration>PRACTICE QUESTIONS (COMPETITION WING)>Q 60

The dimensions of a classroom are

12 m, 6 m

, and

4 m

. Find the cost of decorating its walls by a wallpaper of

50 cm

width, which costs

₹ 30

per metre.