Logarithms and Geometry Challenge

Calculate 2^5 and express your answer in standard form.

• 4.0 x 10^2

• 3.2 x 10^1

• 1.6 x 10^3

• 8.0 x 10^0

If 3^x = 81, what is the value of x?

• 4

• 3

• 2

• 5

Determine the length of an arc with a radius of 10 cm and a central angle of 60 degrees.

• 20 cm

• 10π/3 cm

• 5π cm

• 15 cm

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

• 75 cm³

• 141.3 cm³

• 30 cm³

• 200 cm³

Using a four-figure table, find the logarithm of 0.01 to the base 10.

• -2

• -1

• 0

• 1

Calculate the volume of a sphere with a radius of 4 cm.

• 256/3π cm³

• 128/3π cm³

• 64π cm³

• 32π cm³

If 5^x = 125, what is the value of x?

• 5

• 4

• 3

• 2

Determine the length of an arc with a radius of 15 m and a central angle of 90 degrees.

• 45 m

• 23.56 m

• 30 m

• 15 m

Using a four-figure table, find the logarithm of 1000 to the base 10.

• 2

• 3

• 5

• 4

Calculate the volume of a cone with a radius of 2 cm and a height of 6 cm.

• 12π cm³

• 4π cm³

• 10π cm³

• 8π cm³