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ACT American College Testing: Math Section Sample Questions:

1. If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?

A) 40 square units
B) 160 square units
C) 80 square units
D) 160π square units
E) 80π square units

2. The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

A) 3 mm
B) 18 mm
C) 9 mm
D) 27 mm
E) 6 mm

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

4. If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

A) -24
B) -35
C) 0
D) 35

5. In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM. Line JK is parallel to line LM. If

is 70º, what is the measure of

?

A) 10º
B) 110º
C) 20º
D) 90º
E) 70º

Solutions: