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ACT American College Testing: Math Section Sample Questions:

1. In the diagram above,

is
congruent to

, and

is congruent to

.

If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

A) Cannot be determined.
B) 125a 2 + 250
C) 25a 2 + 100
D) 5a 2 + 10
E) 25a 2 + 50

2. 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) 4
C) 10
D) 16
E) 26

3. The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.
If the radius of the cylinder is 4 units, what is the surface area of the cube?

A) 125 square units
B) 64 square units
C) 96 square units
D) 150 square units
E) 100 square units

4. FILL BLANK
Matt weighs 3/5 of Paul's weight. If Matt were to gain 4.8 pounds, he would weigh 2/3 of Paul's weight.
What is Matt's weight in pounds?

5. A car averages 30 miles per gallon. If gas costs $2.20 per gallon, which of the following is closest to how much the gas would cost for this car to travel 3,250 miles?

A) $238.33
B) $111.23
C) $372.14
D) $48.73

Solutions: