8th Mathematics Monthly Test -3 ( Measurements )

MABS Institution

8th Mathematics Monthly Test -3 ( Measurements )-Aug 2020

Time : 2.00 Hours

Part - A

Multiple Choice Question - Answer All Question

A part of the circumference of a circle is called

circular arc
segment
sector
chord

If V = 6, E = 12 then the faces of the polyhedron is

Exact value of \(\pi\) is

\(\frac{22}{7}\)
3.14
\(\frac{Area}{radius}\)
\(\frac{Circumference}{Diameter}\)

Perimeter of a sector is

\(\frac{lr}{2}\)
\(\frac{l+r}{2}\)
l+2r
\(\pi\)+2

A closed plane figure formed by three or more sides is called a

quadrilateral
pentagon
triangle
polygon

The __________ of a combined shape is the sum of all areas of all areas of simpler shapes on it.

perimeter
face
volume
area

\(\pi\) is a ________ number

rational
irrational
whole
natural

The line segment which connects any two faces are called ______.

edges
vertices
shape
faces

If any two points on a circles is joined the line segment is called as

diameter
chord
radius
center

In if the faces shows the area in the net, then the shape mentioned is

pyramid
Cube
cuboid
prism

Part - B

Generic 2 - Answer All Question

Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Find the area of the irregular polygon shaped fields given below.

Tabulate the number of faces(F), vertices (V) and edges(E) for the following polyhedron. Also find F+V-E

Is a square prism same as a cube?

Which 3-D shapes do the following nets represent? Draw them.

Find the area of the combined figure given, which has two triangles attached to a rectangle.

Find the area of the given nets.

Show that the area of the unshaded regions in each of the squares of side 'a' units are the same in all the cases given below.

Is it possible to have a polyhedron with any given number of faces?

Part - C

Generic 3 - Answer All Question

Find the ratio of the areas of a circle and an equilateral triangle whose diameter and side are equal.

Give the net pattern for a tetrahedron.

Verify Eulers formula for a triangular prism

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)

Find the area of the largest triangle that can be inscribed in a semicircle.

If the radius of a circle decreases by 10% then what is the decreases in area?

Find the length of an arc if the radius of the circle is 14 cm and area of the circle is 63 cm².

Find the length of arc whose radius is 42 cm and central angle is 60⁰

If the circumference of a circle increases from 4\(\pi\) to 8\(\pi\), then find the change in the area

If the area of a square is same as area of a circle, find the ratio of their perimeters.

Verify Euler's formula for a pyramid.

Find r₁ + r₂ if the sum of the areas of two circles with radii r₁ and r₂ is equal to the area of a circle of radius r.

If the perimeter of a semicircle is 36 cm find its diameter.

Find the length of the arc whose radius is 10.5 cm and central angle is 36°.

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8th Mathematics Monthly Test -3 ( Measurements )

MABS Institution

8th Mathematics Monthly Test -3 ( Measurements )-Aug 2020

Part - A

Multiple Choice Question - Answer All Question

A part of the circumference of a circle is called

If V = 6, E = 12 then the faces of the polyhedron is

Exact value of \(\pi\) is

Perimeter of a sector is

A closed plane figure formed by three or more sides is called a

The __________ of a combined shape is the sum of all areas of all areas of simpler shapes on it.

\(\pi\) is a ________ number

The line segment which connects any two faces are called ______.

If any two points on a circles is joined the line segment is called as

In if the faces shows the area in the net, then the shape mentioned is

Part - B

Generic 2 - Answer All Question

Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Find the area of the irregular polygon shaped fields given below.

Tabulate the number of faces(F), vertices (V) and edges(E) for the following polyhedron. Also find F+V-E

Is a square prism same as a cube?

Which 3-D shapes do the following nets represent? Draw them.

Find the area of the combined figure given, which has two triangles attached to a rectangle.

Find the area of the given nets.

Show that the area of the unshaded regions in each of the squares of side 'a' units are the same in all the cases given below.

Is it possible to have a polyhedron with any given number of faces?

Part - C

Generic 3 - Answer All Question

Find the ratio of the areas of a circle and an equilateral triangle whose diameter and side are equal.

Give the net pattern for a tetrahedron.

Verify Eulers formula for a triangular prism

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)

Find the area of the largest triangle that can be inscribed in a semicircle.

If the radius of a circle decreases by 10% then what is the decreases in area?

Find the length of an arc if the radius of the circle is 14 cm and area of the circle is 63 cm2.

Find the length of arc whose radius is 42 cm and central angle is 600

If the circumference of a circle increases from 4\(\pi\) to 8\(\pi\), then find the change in the area

If the area of a square is same as area of a circle, find the ratio of their perimeters.

Verify Euler's formula for a pyramid.

Find r1 + r2 if the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius r.

If the perimeter of a semicircle is 36 cm find its diameter.

Find the length of the arc whose radius is 10.5 cm and central angle is 36°.

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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.

Find the length of arc whose radius is 42 cm and central angle is 60⁰

Find r₁ + r₂ if the sum of the areas of two circles with radii r₁ and r₂ is equal to the area of a circle of radius r.