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ACT American College Testing: Math Section Sample Questions:

1. In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

A) 110º
B) 55º
C) 27.5º
D) 125º
E) 70º

2. A banquet hall charges a base price of x dollars for one hour of rental time. A sales tax of a certain percentage is applied to the base price, and an untaxed deposit is added.
If the total amount is paid at the time of the purchase for one night is given by the expression 1.085x + 18, then what is the sales tax, expressed as a percentage of the base price?

A) 1.085%
B) 18%
C) 8.5%
D) 0.085%

3. If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by:

A) 120%.
B) 51%.
C) 36%.
D) 40%.
E) 20%.

4. If q is decreased by p percent, then the value of q is now:

A) q - pq/100
B) q - p/100
C) q - p
D) -pq/100
E) pq - pq/100

5. What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

A) 1/4
B) 5/8
C) 7/8
D) 3/5
E) 3/8

Solutions: