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ACT American College Testing: Math Section Sample Questions:

1. The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

A) 6 mm
B) 18 mm
C) 27 mm
D) 9 mm
E) 3 mm

2. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.

What is the length of line AB?

A)

B)

C) 5
D)

E)

3. If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N:

A) contains nine elements.
B) contains exactly the same elements that are in set N.
C) contains four elements.
D) contains only the elements that are in both sets M and N.
E) contains only even elements.

4. The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (Δ ABC ), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?

A) 0.04
B) 0.40
C) 0.08
D) 0.20
E) 0.16

5. 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?