Question types

Mensuration l question types

47 questions across 4 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.

47
Questions
4
Question groups
5
Question types
Sample Questions

Mensuration l questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 4[3 marks sum]3 Marks
The speed of the car is $66$ km/hour. If each wheel of the car is $140\ cm$ in diameter, find the number of revolutions made by each wheel per minute.
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Q 8[5 marks sum]5 Marks
The area between the circumferences of two concentric circles is $2464 cm^2$. If the inner circle has circumference of $132 cm$, calculate the radius of outer circle.
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Q 9[5 marks sum]5 Marks
Find the area of the biggest circle that can be cut from a rectangular piece of 44cm by 28 cm. Also, find the area of the paper left after cutting out the circle.
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Q 10[5 marks sum]5 Marks
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
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Q 11[5 marks sum]5 Marks
A lawn is in the shape of a semi-circle of diameter $42 m$. The lawn is surrounded by a flower bed of width $7 m$ all around. Find the area of the flower bed in $m^2$ .
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Q 13[4 marks sum]4 Marks
A wire bent in the form of an equilateral triangle has an area of $121 \sqrt{3} cm ^2$. If the same wire is bent into the form of a circle, find the area enclosed by the wire.
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Q 14[4 marks sum]4 Marks
A wire when bent in the form of a square encloses an area of $484 cm^2$​​​​​​​. If the same wire is bent into the form of a circle, find the area of the circle.
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Q 16[4 marks sum]4 Marks
The area of a circular ring enclosed between two concentric circles is $88\ cm^2.$ Find the radii of the two circles, if their difference is $1\ cm.$
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