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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.

What is the area, in square inches, of the scale drawing of the park?

A) 672
B) 1,088
C) 544
D) 448
E) 640

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) 8.5%
C) 0.085%
D) 18%

3. A company offers early bird pricing of $15 on a new product if there are 10 or fewer orders. The price goes down to $12.50 if it is ordered by more than 10. Twenty ends up ordering at the $15 amount.
How much does the company end up offering as rebate?

A) $50
B) $25
C) $100
D) $75

4. The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A) 12
B) 3
C) 6
D) 19
E) 9

5. All of the following are less than 2/5 EXCEPT:

A) 3/8
B) 0.0404
C) 3/7
D) 0.04
E) 1/3

Solutions: