8th Mathematics Weekly Test - 3(Measurements)

St. Britto Hr. Sec. School - Madurai

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

Time : 1.00 Hours

Part - A

Fill in the blanks - Answer All Question

If a net of a 3-D shape has six plane squares, then it is called ______.

If the difference between the circumference and radius of a circle is 37cm then find the circumference of the circle.

A wire can be bend in the form' of a circle of radius 56 em. If it is bend to form a square then find its area.

If a wire is bent to the shape of a square, the area of the square is 81cm². If it is bent to a semi-circle then find the area of the semicircle?

A circular park has a path of uniform width around it. The difference between the outer and inner circumferences is 132m. Find its width.

The radius of a wheel is 0.25m, how many revolutions are needed to travel a distance of 11 km?

Part - B

Generic 2 - Answer All Question

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

Draw the top, front and side view of the following solid shapes

Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1\(\frac{1}{2}\) feet wide in his room. From the closed state, if each of the single and double doors can open up to 12⁰, whose door requires a minimum area?

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.

Find the length of arc if the perimeter of sector is 45 em and radius is 10 cm.

Part - C

Generic 3 - Answer All Question

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

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

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

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8th Mathematics Weekly Test - 3(Measurements)

St. Britto Hr. Sec. School - Madurai

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

Part - A

Fill in the blanks - Answer All Question

If a net of a 3-D shape has six plane squares, then it is called ______.

If the difference between the circumference and radius of a circle is 37cm then find the circumference of the circle.

A wire can be bend in the form' of a circle of radius 56 em. If it is bend to form a square then find its area.

If a wire is bent to the shape of a square, the area of the square is 81cm2. If it is bent to a semi-circle then find the area of the semicircle?

A circular park has a path of uniform width around it. The difference between the outer and inner circumferences is 132m. Find its width.

The radius of a wheel is 0.25m, how many revolutions are needed to travel a distance of 11 km?

Part - B

Generic 2 - Answer All Question

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

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

Draw the top, front and side view of the following solid shapes

Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1\(\frac{1}{2}\) feet wide in his room. From the closed state, if each of the single and double doors can open up to 120, whose door requires a minimum area?

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.

Find the length of arc if the perimeter of sector is 45 em and radius is 10 cm.

Part - C

Generic 3 - Answer All Question

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

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

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.

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

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If a wire is bent to the shape of a square, the area of the square is 81cm². If it is bent to a semi-circle then find the area of the semicircle?

Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1\(\frac{1}{2}\) feet wide in his room. From the closed state, if each of the single and double doors can open up to 12⁰, whose door requires a minimum 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 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.