Quiz 10

The perimeter of an equilateral triangle is equal to the perimeter of a regular hexagon. What is the ratio of their sides?

• 1:1

• 2:1

• 1:3

• 1:6

• Cannot be determined

In the figure above, the three circles share a common center C. The smallest circle has a radius of 2; the next circle has a radius of 5; and the largest circle has a radius of 9. What fraction of the area of the largest circle is the area of the shaded region?

• 7/27

• 25/81

• 1/3

• 7/11

• 12/17

The ratio of the radii of two spheres is 3:1, which of the following represents the ratio of the volumes of the spheres?

• 1:9

• 9:1

• 1:8

• 27:1

• None of these

The figure above shows a rectangular tile. The tile has three inscribed tangent circles. If the radius of each circle is 2 cm, what is the area of the shaded portion?

What is the radius of the largest sphere that can be placed inside a cube of volume 64?

• 25

• 40

• 50

• 75

• 100

If the circumference of a circle becomes double, then the area of the circle is increased by:

• 100%

• 150%

• 200%

• 300%

• 400%

If you double the area of the base of a rectangular solid, and also triple the solid’s height, what is the ratio of the new volume to the old volume?

• 2:3

• 3:2

• 1:6

• 6:1

• None of these

In the figure shown above, a sphere is inscribed inside a cube. If the radius of the sphere is 2.5 cm, what is the total surface area of the cube in square cm?

• 25

• 50

• 100

• 150

• Cannot be determined

In the figure above, ABCD is a rectangle. E is the midpoint of AB. If the area of ∆AED is 6 square cm , what is the area of the entire figure in square cm?

• 18

• 20

• 24

• 30

• Cannot be determined