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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?

2. The expression

is equivalent to:

A)

B)

C)

D)

E)

3. A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?

A) 18 3 - π(6) 2 (12)
B) 18 3 - π(12) 3
C) 6(18) 2 - 2π(6)(12)
D) 18 3 - π(6)(12) 2
E) 6(18) 2 - 2π(6)(12) - 2π(6) 2

4. 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)

5. 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) 0.16
B) 0.20
C) 0.40
D) 0.08
E) 0.04

Solutions: