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

2. A number cube is labeled with the numbers one through six, with one number on each side of the cube.
What is the probability of rolling either a number that is even or a number that is a factor of 9?

A) 1/3
B) 1/2
C) 1
D) 5/6
E) 2/3

3. (4.8 × 10 -7 ) / (1.6 × 10 -11 )

A) 3.0 × 10-4
B) 3.2 × 1018
C) 3.2 × 104
D) 3.0 × 104
E) 3.0 × 10-18

4. In triangle DEF, the length of

is
√30inches, and the length of

is 3inches. If it can
be determined, what is the length, in inches, of

?

A) Cannot be determined from the given information.
B)

C)

D) 3
E)

5. The statement "Raphael runs every Sunday" is always true.
Which of the following statements is also true?

A) If it is Sunday, it is impossible to determine if Raphael runs.
B) If Raphael runs, then it is Sunday.
C) If it is not Sunday, then Raphael does not run.
D) If it is Sunday, then Raphael does not run.
E) If Raphael does not run, then it is not Sunday.

Solutions: