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ACT American College Testing: Math Section Sample Questions:

1. What is the period of the function f(x) = csc(4x)?

A) π/4
B) 4π
C) π
D) 2π
E) π/2

2. The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96.
What is the average of this new list of numbers?

A) 94.0
B) 91.5
C) 94.5
D) 90.0
E) 94.8

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

4. Gil drives five times farther in 40 minutes than Warrick drives in 30 minutes.
If Gil drives 45 miles per hour, how fast does Warrick drive?

A) 15 mph
B) 1 2 mph
C) 9 mph
D) 30 mph
E) 6 mph

5. FILL BLANK

In the diagram above, what is the length of side FG?

Solutions: