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ACT American College Testing: Math Section Sample Questions:

1. In the diagram above, ABC and DEC are right triangles, the length of side BC is 15 units, and the measure of

is 60º.

If

is congruent to

, what is the length of side DC?

A) 9 units
B) 15/2 units
C) 15/2 × √3 units
D) √15 units
E) 15√3 units

2. In the diagram above, FDCB is a rectangle. Line ED is six units long, line AB is ten units long, and the
measure of angle ECD is 60º.

What is the length of line AE?

A) 20
B)

C)

D)

E) 8

3. The frequency chart below shows the cumulative number of Ms. Hernandez's science students whose test scores fell within certain score ranges. All test scores are whole numbers.

How many students have a test score in the interval 71 - 80?

A) 12
B) 13
C) 6
D) 1
E) 8

4. The expression

is equivalent to:

A)

B)

C)

D)

E)

5. The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?

A) 128√2 in 3
B) 24√2 in 3
C) 96 in 3
D) 64 in 3
E) 192 in 3

Solutions: