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ACT American College Testing: Math Section Sample Questions:

1. The number of decibels, d, produced by an audio source can be modeled by the equation:

where I is the sound intensity of the audio source and K is a constant.
How many decibels are produced by an audio source whose sound intensity is 1,000 times the value of K?

A) 10,000
B) 30
C) 100
D) 4
E) 40

2. The area of one square face of a rectangular prism is 121 square units. If the volume of the prism is 968 cubic units, what is the surface area of the prism?

A) 1,452 square units
B) 352 square units
C) 512 square units
D) 528 square units
E) 594 square units

3. There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program.
If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?

A) 4
B) 18
C) 26
D) 10
E) 16

4. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

A) 25 cm2
B) 78 cm2
C) 39 cm2
D) 89 cm2
E) 64 cm2

5. If

, then ( h ^ g ) ^ h =:

A)

B)

C) 4h
D) 2h

Solutions: