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ACT American College Testing: Math Section Sample Questions:

1. In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5

A) 8
B) 9
C) 36
D) 27

2. A line through the origin and (10, 4) is shown in the standard (x, y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

What is the value of

?

A)

B)

C) 2/5
D) 5/2
E)

3. FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?

4. 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.

The length of the south side of the park is what percent of the length of the north side?

A) 250%
B)

C) 112%
D) 124%
E) 175%

5. If 40% of j is equal to 50% of k, then j is:

A) 10% larger than k.
B) 80% larger than k.
C) 15% larger than k.
D) 25% larger than k.
E) 20% larger than k.

Solutions: