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ACT American College Testing: Math Section Sample Questions:

1. If a + 3b = 37 and a - 3b = 19, then b = ___.

A) 24
B) 3
C) 12
D) 6

2. If g × 1/4 = 16, then g × (-1/5):

A) 1/8
B) 4
C) 16/5
D) 8
E) 1/4

3. Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.
If there are 24 2 total flowers in her garden, how many of them are tulips?

A) 132
B) 110
C) 40
D) 22
E) 121

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

5. Line AC is a diagonal of square ABCD.
What is the sine of

A)

B)

C) 1/2
D) Cannot be determined
E)

Solutions: