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ACT American College Testing: Math Section Sample Questions:

1. The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:

A) (7, 1)
B) (9, -1)
C) (-3, 4)
D) (-10, 3)
E) (-7, 2)

2. When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?

A) 5
B) 20
C) 10
D) 15

3. Which of the following is the equation of a parabola whose vertex is at (5, -4)?

A) y = x 2 - 29
B) y = (x - 5) 2 - 4
C) y = (x + 5) 2 - 4
D) y = (x + 5) 2 + 4
E) y = (x - 5) 2 + 4

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.

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

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

5. A room has a rectangular floor that is 15 feet by 21 feet.
What is the area of the floor in square yards?

A) 35
B) 36
C) 144
D) 105
E) 24

Solutions: