St. Britto Hr. Sec. School - Madurai
8th Mathematics Monthly Test - 1 ( Measurements )-Aug 2020
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Tabulate the number of faces(F), vertices (V) and edges(E) for the following polyhedron. Also find F+V-E
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\(\frac{22}{7}\) and 3.14 are rational numbers. Is 'π' a rational number? Why?
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Find the area of the shaded part of the following figures. ( π = 3.14 )
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Can a polyhedron have 12 faces, 22 edges and 17 vertices?
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Verify Euler’s formula for the table given below.
S.No Faces Vertices Edges (i) 4 4 6 (ii) 10 6 12 (iii) 12 20 30 (iv) 20 13 30 (v) 32 60 90 -
A rocket drawing has the measures as given in the figure. Find its area.
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If the radius of a circle is doubled, what will the area of the new circle so formed?
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Find the length of arc if the perimeter of a sector is 65 cm and radius is 20 cm.
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Find the length of arc if the perimeter of sector is 45 em and radius is 10 cm.
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Find the perimeter and area of the combined figures given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)
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Is it possible to have a polyhedron with any given number of faces?
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Find the length of arc whose central angle is 1800 and perimeter of circle is 64 cm.
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Verify Euler's formula for a pyramid.
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If the perimeter of a semicircle is 36 cm find its diameter.
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Give the net pattern for a tetrahedron.
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Find the length of arc whose radius is 42 cm and central angle is 600
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If the radius of a circle decreases by 10% then what is the decreases in area?
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A circular arc whose radius is 12 cm makes an angle 30° at the center. Find the perimeter of the sector formed (u3160 = 3.14)
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Find the length of an arc if the radius of the circle is 14 cm and area of the circle is 63 cm2.
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If the circumference of a circle increases from 4\(\pi\) to 8\(\pi\), then find the change in the area
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Find the area of the largest triangle that can be inscribed in a semicircle.
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(a) Dice are cubes where the numbers on the opposite faces must total 7. Is the following a die.
(b) The following shows a net with areas of faces. What can be the shape?
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Find the area of the figure.
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Find the area enclosed.
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Find the perimeter of sector whose area is 324 sq. em and radius is 27 cm.
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An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2 Find the radius of the circle.
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In the figure AOBCA represents a quadrant of a circle of radius 3.5cm D with center 'O' calculate the area of the shaded portion \(\left( \pi =\frac { 22 }{ 7 } \right) \)
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Find the area of the shaded region in the figure.